Biomemetics: Theoretical Foundations of Gene-Meme Interaction

Introduction

This document formalizes the Biomemetic Complex (BMC) — a system arising from the interaction of two replicators (genes and memes) within a single host. The goal is to move beyond descriptive metaphors toward a rigorous theoretical framework integrating evolutionary biology, neuroscience, and network science.

Conceptual foundation: For the memetic theory background, see Extended Meme Theory (EMT), Part XXVIII. For the network formalization of memes, see Network Memetics (NM). For AGI applications, see AGI Foundations.


Table of Contents


Part I. Introduction: Why Biomemetics

The Problem: A Metaphorical Gap

The interaction of genes and memes has been described in the literature predominantly through metaphor:

  • “Memes subjugate genes” — but how exactly?
  • “Genes and memes compete” — in what units?
  • “Consciousness arises from their interaction” — what is the mechanism?

Existing project documents touch on this topic:

The gap: There is no unified theoretical framework connecting biology (genes) with memetics (memes) at the level of formal models.

The Solution: The Biomemetic Complex

Biomemetics is an interdisciplinary theory integrating:

  1. Evolutionary biology (genetic programs)
  2. Neuroscience (the substrate of interaction)
  3. Network science (formalization of dynamics)

Key idea: Consciousness is not a product of memes by themselves, but an emergent property of dynamic tension between two replicator systems. Understanding consciousness requires modeling both systems and their interface.

Definition of the Biomemetic Complex

The Biomemetic Complex (BMC) is a system consisting of four components:

$$BMC = (G, M, I, S)$$

where:

  • $G$ — genetic layer: the set of genetic programs and drives
  • $M$ — memetic layer: the network of memes (memeplex)
  • $I$ — interface: mechanisms of interaction between layers
  • $S$ — shared substrate: the neurobiological foundation
flowchart TD subgraph BMC["Biomemetic Complex (BMC)"] subgraph G["G: Genetic Layer"] G1[Basic Drives] G2[Emotions] G3[Reward System] end subgraph I["I: Interface"] I1[Redirection] I2[Suppression] I3[Interpretation] end subgraph M["M: Memetic Layer"] M1[Memeplex] M2[Hubs] M3[Periphery] end subgraph S["S: Shared Substrate"] S1[Limbic System] S2[Prefrontal Cortex] S3[Neurotransmitters] end end G <-->|via I| M G --- S M --- S I --- S

BMC Component Table

ComponentDefinitionCharacteristicsMutability
$G$ (genetic)Genetically determined programsFixed drives, emotionsImmutable during lifetime
$M$ (memetic)Network of acquired memesHeavy-tailed topology, hubsDynamically modifiable
$I$ (interface)Interaction mechanismsRedirection, suppressionTrainable (habits)
$S$ (substrate)Neurobiological foundationNeurons, synapses, transmittersPlastic within limits

Why This Model Is Needed

ProblemHow BMC Solves It
“Why do beliefs affect physiology?”Interface $I$ connects $M$ to $G$ through $S$
“Why do people regress under stress?”$G$ strengthens when $I$ is depleted
“Where do internal conflicts come from?”Competition between $G$ and $M$ for shared resources in $S$
“Why does therapy work slowly?”Change requires restructuring $I$, not just $M$

See also: The concept of two replicators — EMT, Part XXVIII; architecture for AGI — AGI Foundations, Introduction.

Physical Structure of a Meme in the Brain

A meme is not an abstraction but a physical structure with hierarchical organization. Different parts of a meme are localized in different brain regions and have different resistance to degradation.

flowchart TD subgraph BRAIN["Physical Structure of a Meme in the Brain"] subgraph CORE["Core (Skeleton)"] C1["Semantic core"] C2["Category membership"] end subgraph L1["First-order connections"] L1A["Primary associations"] L1B["Emotional coloring"] end subgraph L2["Second-order connections"] L2A["Contextual connections"] L2B["Episodic bindings"] end subgraph DET["Details"] D1["Sensory images"] D2["Specific episodes"] end end C1 <--> C2 C1 --> L1A C2 --> L1B L1A --> L2A L1B --> L2B L2A --> D1 L2B --> D2 style CORE fill:#1a5f1a style L1 fill:#2d8a2d style L2 fill:#5cb85c style DET fill:#a3d9a3
ComponentLocalizationSynaptic StrengthResistance to Degradation
CoreTemporal cortex, semantic networksVery high (consolidated)High
First-order connectionsAssociative cortexHighMedium-high
Second-order connectionsPrefrontal + parietal cortexMediumMedium
DetailsHippocampus -> cortex (upon consolidation)Low (without consolidation)Low

Neurobiological mechanism:

  • Consolidation (systems): the meme core transfers from hippocampus to neocortex (months-years)
  • Synaptic strengthening: frequent use -> LTP -> increased connection weight
  • Synaptic weakening: disuse -> LTD -> peripheral degradation

Network formalization: The Fidelity function and storage modes — see NM, Part VIII.

Conceptual foundation: Meme structure: core and periphery — see EMT, Part I.


Part II. Evolutionary History: Coevolution of Two Replicators

The Problem: Why Is the Human Brain Anomalous?

The human brain is an evolutionary anomaly:

  • 7 times larger than expected for a primate of our size
  • Consumes 20% of the body’s energy (up to 60% in children)
  • Contains functions superfluous for survival (music, abstract thought)

Standard evolutionary theory does not explain why evolution created such an “inefficient” organ.

Coevolution Timeline

4 bya
Emergence of genes
First replicator: DNA
2.5 mya
Emergence of memes
Second replicator: capacity for imitation
2 mya
Oldowan tools
EQ ≈ 1.5 — first material culture
500 kya
Fire control
EQ ≈ 2.5 — environmental modification
100 kya
Language
EQ ≈ 4.0 — symbolic communication
50 kya
Symbolic thought
Art, religion, abstract memes
10 kya
Writing
External meme memory
500 ya
Printing press
Mass copying of memes
50 ya
Internet
Instantaneous global transmission

The Baldwin Effect: Memes Accelerate Genetic Evolution

The Baldwin effect (Baldwin, 1896) is a mechanism whereby learning accelerates genetic evolution without violating Darwinian principles.

Current status (2025): Gene-culture coevolution remains an active research area. The work of Kasser (2025) expands the concept: genetic changes in humans are often driven by drift, founder effects, and gene flow, not only by selection. This means that cultural influence on biology is more complex than a pure Baldwin effect — culture affects migration, population isolation, and mutational conditions. See also: Nature Communications (2019) — review of gene-culture coevolution in animals; Royal Society B (2021) — longitudinal coevolution in humans.

Mechanism:

  1. A meme creates an advantage for carriers of a certain genotype
  2. Carriers of that genotype survive and reproduce more often
  3. The genotype spreads through the population
  4. The genetic basis for the meme becomes fixed
flowchart TD M[Meme: tool use] --> A[Better imitators survive] A --> B[They pass on genes for better imitation] B --> C[Imitation capacity grows] C --> D[Memes can become more complex] D --> M style M fill:#3498db style D fill:#3498db

Evidence for Coevolution

EvidenceDescriptionConnection to Memes
Encephalization Quotient (EQ)Growth from 1.5 to 7.0 over 2.5 million yearsCorrelates with cultural complexity
FOXP2 geneMutation ~200–300 thousand years agoCritical for speech (meme channel)
ASPM, MCPH1 genesUnder positive selectionLinked to brain size
SLC6A4 genesVariants affect learning abilityOptimization for meme reception
PFC hypertrophyPrefrontal cortex +300%Substrate for the memeplex

Coevolutionary Fitness Formula

Total host fitness depends on both replicators and their synergy:

$$W_{total}(t) = W_g(t) \cdot W_m(t) + \alpha \cdot synergy(g, m)$$

where:

  • $W_g(t)$ — genetic fitness (survival, reproduction)
  • $W_m(t)$ — memetic fitness (meme replication)
  • $\alpha$ — synergy coefficient
  • $synergy(g, m)$ — mutual reinforcement function

Synergy is positive when both replicators benefit:

  • $synergy > 0$: childcare (genes transmitted + memes transmitted)
  • $synergy < 0$: martyrdom (genes lose, memes win)
  • $synergy \approx 0$: neutral scenarios

Table of Evolutionary Milestones

PeriodGenetic ChangeMemetic ChangeEQ
2.5 myaCapacity for imitationFirst tools1.5
2 myaPFC enlargementOldowan culture2.0
1.5 myaFOXP2 precursorsAcheulean tools2.5
500 kyaFire control (genetic adaptation to smoke)Cooking, social rituals3.0
200 kyaFOXP2 modern formProto-language4.0
100 kyaModern anatomyFull language5.0
50 kyaCognitive revolution (unknown trigger)Symbolic thought6.0
10 kyaAdaptation to milk, alcoholAgriculture, writing7.0

Numerical Example: Speed of Cultural vs. Genetic Evolution

Genetic evolution:

  • Time to fixation of a beneficial mutation: ~1,000 generations ~ 25,000 years
  • Speed: one significant change per 25,000 years

Memetic evolution:

  • Time for meme propagation: from minutes to decades
  • Speed: millions of changes per single human lifetime

Ratio: Memetic evolution is faster than genetic evolution by a factor of $10^6 - 10^9$.

Important clarification: This does not mean memes are “better.” Genes provide stability and basic functions, memes provide adaptability. BMC uses the advantages of both.

See also: Coevolution of genes and memes — EMT, Parts II, X.


Part III. Neurobiological Substrate: The Hardware of BMC

The Problem: Where Do Genes and Memes Physically Interact?

Memes are not abstractions but physical structures in the brain (synaptic connection patterns). Genetic programs are implemented through neural circuits. The question: which brain structures are responsible for which BMC layer?

Distribution Across Brain Structures

flowchart TD subgraph BRAIN["The Brain as BMC Substrate"] subgraph G_LAYER["Genetic Layer (phylogenetically ancient)"] BS[Brainstem
Basic functions] HT[Hypothalamus
Drives] AM[Amygdala
Fear, threats] NA[Nucleus accumbens
Reward] end subgraph I_LAYER["Interface"] ACC[Anterior Cingulate Cortex
Conflict detection] INS[Insula
Interoception] OFC[Orbitofrontal Cortex
Value assessment] end subgraph M_LAYER["Memetic Layer (phylogenetically recent)"] PFC[Prefrontal Cortex
Planning, control] TPJ[Temporoparietal Junction
Theory of Mind] ASS[Associative Zones
Integration] end end G_LAYER <-->|modulation| I_LAYER I_LAYER <-->|control| M_LAYER style BS fill:#e74c3c style HT fill:#e74c3c style AM fill:#e74c3c style NA fill:#e74c3c style ACC fill:#f39c12 style INS fill:#f39c12 style OFC fill:#f39c12 style PFC fill:#3498db style TPJ fill:#3498db style ASS fill:#3498db

Neuroanatomical Distribution Table

StructureBMC LayerFunctionPhylogenetic Age
BrainstemGBreathing, heartbeat, arousal>500 mya
HypothalamusGHunger, thirst, thermoregulation, sex~300 mya
AmygdalaGFear, aggression, social signals~200 mya
Nucleus accumbensGReward system~200 mya
ACC (anterior cingulate)IConflict detection, errors~100 mya
InsulaIInteroception, emotional awareness~100 mya
OFCIReward and context integration~50 mya
PFC (prefrontal cortex)MPlanning, inhibition, working memory~10 mya
TPJMUnderstanding others’ intentions~5 mya
Associative zonesMIntegration, abstract thought~2 mya
DMN (Default Mode Network)M/IPersistent scanning of structural gaps (SIT)~2 mya

Default Mode Network as SIT Substrate

The Default Mode Network (DMN) is a set of brain structures most active at rest (in the absence of external tasks) and deactivated during goal-directed activity. Key nodes:

DMN StructureFunction in the Context of SIT
mPFC (medial prefrontal cortex)Assessing gap relevance relative to the self-model
PCC (posterior cingulate cortex)Integrating gaps with autobiographical memory
Angular gyrusSemantic processing — detecting structural inconsistencies
Medial temporal lobeReactivating unresolved contexts from long-term memory

Thesis: The DMN is the neurobiological substrate of SIT. When external tasks do not require SEEKING, the dopamine system switches to endogenous scanning of the memeplex, identifying clusters with $SIT > 0$. Subjectively, this is experienced as “mind-wandering,” rumination, or incubation.

Evidence base:

ObservationInterpretation via SITSource
DMN more active during mind-wanderingScanning gaps without an external taskRaichle et al. (2001), PNAS
DMN linked to self-referential processingAssessing gaps relative to the self-modelBuckner & DiNicola (2019), Neuron
Anti-correlation of DMN and task-positive networksSEEKING switches between external and SIT tasksFox et al. (2005), PNAS
DMN activity correlates with future thinkingSimulating closure scenarios for gapsAndrews-Hanna (2012), Annals of the NY Academy
Insight linked to gamma burst in right angular gyrusMoment of closure — gap filledKounios & Beeman (2014), Annual Review of Psychology
Elevated DMN activation for uncompleted tasksDirect evidence of SITPoerio et al. (2017), NeuroImage

Connection to existing M-layer structures: The DMN overlaps with PFC and TPJ — structures already described as the substrate of the M-layer. This is not coincidental: SIT is a function of the memetic layer specifically (assessing memeplex structure), implemented on the same neuroanatomical resources. The DMN can be viewed as an interface between the M-layer and SEEKING: mPFC assesses gap relevance, angular gyrus determines their position in the semantic network, PCC correlates them with history.

Sources: Raichle et al. (2001). “A default mode of brain function.” PNAS, 98(2), 676-682; Andrews-Hanna (2012). “The brain’s default network and its adaptive role in internal mentation.” Annals of the NY Academy of Sciences, 1264(1), 1-13; Kounios & Beeman (2014). “The cognitive neuroscience of insight.” Annual Review of Psychology, 65, 71-93.

DMN as Substrate of Reflection and the Self-Model Cluster (SMC)

The function of the DMN is not limited to gap scanning (SIT). The DMN is the neurobiological substrate of reflection: SMC activity directed at the system’s own memeplex (see EMT, Part XVII).

Neural Substrate of SMC

The Self-Model Cluster (SMC) is a subgraph of the memeplex containing memes about the BMC system itself: $SMC = \{m \in M : target(m) \in M \cup G \cup I\}$ (see EMT, Part XVI). Neurobiologically, SMC is implemented at the intersection of DMN and M-layer structures:

StructureRole in SMCEvidence Base
mPFCSelf-model core: “is this about me?” assessment, integrating self-referential informationNorthoff et al. (2006), NeuroImage: mPFC is a hub for self-referential processing
TPJModeling others’ SMCs (Theory of Mind) + “self / not-self” boundarySaxe & Kanwisher (2003), NeuroImage: TPJ active during mentalization
PCC / precuneusAutobiographical memory, context of self-model over timeCavanna & Trimble (2006), Brain: precuneus is a hub for autobiographical memory
Medial temporal lobeStoring episodic context of the self-modelBuckner & DiNicola (2019), Neuron
flowchart TD subgraph SMC_SUBSTRATE["Neural Substrate of SMC"] mPFC["mPFC
Self-model core"] TPJ2["TPJ
Self/not-self boundary"] PCC["PCC / precuneus
Autobiography"] MTL["Medial temporal lobe
Episodic context"] end subgraph DMN2["DMN (general)"] SIT_scan["Gap scanning (SIT)"] Rumination["Rumination (LP ~ 0)"] Reflexion["Productive reflection (LP > 0)"] end mPFC --> SIT_scan mPFC --> Reflexion mPFC --> Rumination PCC --> SIT_scan TPJ2 --> Reflexion MTL --> SIT_scan style mPFC fill:#e74c3c style TPJ2 fill:#3498db style PCC fill:#9b59b6 style Rumination fill:#f39c12 style Reflexion fill:#27ae60

DMN as Substrate of Reflection: The Mechanism

Reflection = SMC scans the M-layer, finding gaps, contradictions, G/M misalignments. Neurobiologically, this is realized through the DMN:

  1. mPFC assesses gap relevance to the self-model: “does this concern me?”
  2. PCC / precuneus contextualizes the gap in autobiographical history: “when did this begin?”
  3. Angular gyrus determines the semantic position of the gap: “what is this connected to?”
  4. Medial temporal lobe reactivates relevant episodes: “has something like this happened before?”

Result: LP (Learning Progress) — a signal of whether reflection is approaching closure. If LP > 0, productive reflection leads to a new meme (abduction). If LP ~ 0, rumination depletes $E_{available}$ (see EMT, Part XVII, Part IX of this document).

Quantitative consciousness assessment — the CL metric: The quality of SMC operation can be expressed as a single number: $CL(t) = \sigma_{SW}(t) \cdot A_{SMC}(t) \cdot f(Balance(t))$, where $\sigma_{SW}$ is network small-worldness, $A_{SMC}$ is Self-Model Cluster activity, and $f(Balance)$ is a bell-shaped function of G/M balance. CL unifies substrate (S), memetic (M), and interface (I) components of BMC into a single metric. Formalization details — NM, Part XIII.

M » G as a condition for reflection. Reflection is recursion of depth >= 2 within SMC: memes model their own memeplex. This requires a “surplus” of memes beyond the needs of modeling the world and the G-layer, i.e., $|V_m| \gg |V_u|$ (M » G). Neurobiologically, this is linked to the disproportionate development of PFC and associative zones (M-layer) relative to the limbic system (G-layer). The critical periods table below (Part IX) demonstrates this: in the “Sponge” phase (G » M) reflection is impossible; it appears only in the “Testing” phase (G ~ M, then M > G), when the memeplex first acquires sufficient capacity for self-modeling. Detailed formalization — EMT, Part XVI.

Proxy metrics for measuring CL in vivo: CL is directly computable only in a model, but each component has a measurable neurophysiological proxy. $\sigma_{SW}$ -> PCI (TMS-EEG, Casali et al., 2013): both measure the balance of integration/differentiation. $A_{SMC}$ -> DMN activity (fMRI): DMN is the neural substrate of the reflective cascade described above; L1 SMC (bodily self) maps onto posterior DMN (PCC, precuneus) + insula, L2 SMC (metacognition) onto anterior DMN (mPFC) + TPJ. $f(Balance)$ -> directed connectivity PFC->subcortical / subcortical->cortical (DCM). $I_{intero}$ (from the extended $CL_{full}$) -> HEP (Heartbeat Evoked Potential) + insula BOLD. A composite proxy index $CL_{proxy} = PCI \cdot DMN_{SMC} \cdot f(EC_{ratio})$ should predict subjective consciousness scales more accurately than any single component (detailed proxy table — NM, Part XII).

Evidence:

ObservationInterpretation via SMC/ReflectionSource
mPFC more active during self-referential judgments than judgments about othersmPFC is the SMC core, not merely a “social” areaNorthoff et al. (2006)
Rumination in depression linked to DMN hyperactivationLP ~ 0 -> SMC stuck in a cycle without closureBerman et al. (2011), Biological Psychiatry
Meditation reduces DMN activation and improves depressionMeditation weakens the SMC cycle -> interrupts ruminationBrewer et al. (2011), PNAS
mPFC damage -> impaired self-awareness (anosognosia)Without the SMC core, reflection is impossibleStuss (1991), Brain and Cognition

Active Inference Cascade: SIT -> SEEKING -> Motor Output

Reflection is not the only DMN function in the BMC context. When reflection discovers a gap and LP > 0 with high SIT, an active inference cascade is triggered — the memeplex motivates the host to change reality (see EMT, Part XVIII):

DMN (reflection) -> SIT > theta -> SEEKING (VTA/NA) -> PFC (planning) -> Motor cortex -> Action
StageNeural SubstrateFunction in the Cascade
Gap detectionDMN (mPFC, PCC)SMC finds a discrepancy between model and reality
SIT activationSEEKING (VTA -> NAcc), dopaminergic pathwaysMotivational signal: “explore, close the gap”
PlanningPFC (dlPFC), ACCGenerate action plan to close the gap
ExecutionMotor cortex, basal gangliaImplement the plan in the external world

Flow State: DMN Suppression and Optimal M/G Synchronization

  • DMN suppressed during flow (Ulrich et al., 2016); $A_{SMC} \to$ minimum -> $CL_{reflexive}$ low but $CL_{operative}$ high
  • SIT optimal range: $SIT_{bore} < SIT < SIT_{anxiety}$ -> progressive closure without overwhelm
  • Neurochemical profile: transient hypofrontality (Dietrich, 2004); PLAY elevated, FEAR minimal; $\sigma \approx 1$ (criticality)
  • Predictions: flow interruption -> sharp DMN reactivation (EEG alpha spike); high-PLAY baseline -> more frequent flow; flow correlates with power-law avalanche distribution

Cross-ref: NM Part XIII: CL operative vs reflexive; AGI Foundations: Flow as target mode.

Neurotransmitters as the Currency of Interaction

NeurotransmitterRole in Modulation Engine
Dopamine (DA)Learning rate ($\lambda_{lr}$), salience, noise ($\lambda_{noise}$)
Serotonin (5-HT)Activation threshold ($\theta_{act}$), inhibition ($\lambda_{inh}$)
Norepinephrine (NE)Speed ($\lambda_{speed}$), arousal
Acetylcholine (ACh)Plasticity ($\lambda_{plast}$), encoding mode
Oxytocin (OXT)Social bonding ($\lambda_{soc}$), in-group signal
GABAInhibitory — lateral inhibition, WM competition

Three computational engines of BMC:

EngineWhat It DeterminesSubstrate
Graph Engine (synaptic transmission)WHAT is active: activations, edges, WM competitionAP -> NT -> PSP
Modulation Engine (neuromodulation)HOW the graph works: speed, plasticity, noiseDA, 5-HT, NE, ACh
Diffusion Engine (volume transmission)BACKGROUND: priming, warming semantically related memesNT spillover

Physical Structure of a Meme: From Neuron to Cell Assembly

  • Meme = cell assembly (Hebb 1949) = engram (Josselyn & Tonegawa 2020). Causal proof: optogenetic reactivation of specific neurons triggers memory (Liu et al. 2012)
  • Population coding (Georgopoulos 1986): a meme is a distributed representation (vector in neural activation space)
  • Neural reuse (Anderson 2010): neurons do not know what they encode; Broca’s area = speech + gestures + music
  • Overlapping engrams (Cai et al. 2016): shared neurons between assemblies form the physical basis of edges ($w_{ij} \propto |ensemble_i \cap ensemble_j|$)
  • Mixed selectivity (Rigotti et al. 2013): one neuron participates in ~5–20 assemblies -> combinatorial power
  • Sparse coding: ~1–5% neurons per meme -> capacity ~$10^4$–$10^6$ memes

The Neuron as a Universal Computer

Dendritic computation: One biological neuron = 5–8 DNN layers (active dendrites: Na+, NMDA, Ca2+ channels). The NMDA spike is a coincidence detector (Hebbian at the molecular level). A single neuron can compute XOR (linearly inseparable). Implication: a cell assembly of ~$10^3$ neurons is computationally far more powerful than point-neuron models suggest.

Two learning rules: Pyramidal neurons use compartmentalized plasticity: (1) Basal dendrites — Hebbian (fire together, wire together), feedforward data; (2) Apical dendrites — non-Hebbian (local co-activation without spike), feedback/context/predictions. This is the anatomy of predictive coding: top-down predictions vs. bottom-up error correction.

Overlapping Ensembles: Why Connections Physically Exist

Overlapping engrams (Cai et al. 2016): shared neurons between assemblies = physical basis of edges ($w_{ij} \propto |ensemble_i \cap ensemble_j|$). Events occurring within a ~6 hour window share neurons (memory linking) -> causal association. In BMC: memes created within close $\Delta t$ acquire shared edges.

Mixed selectivity (Rigotti et al. 2013): one neuron participates in ~5–20 assemblies -> combinatorial power. This enables capacity scaling: not $N/s$ (linear), but $\binom{N/r}{s}$ (combinatorial).

Compressive Meme Coding

Sub-component reuse: memes are built from shared micro-ensembles (not atomic). A subset of size $r$ shared across $c$ memes yields capacity $\binom{N/r}{s}$ (combinatorial) vs. $N/s$ (linear). New meme cost: $O(1)$ new connections, not $O(s)$ neurons. Consequence: M » G requires sub-component reuse enabling a massive M without proportional G growth. Cross-ref: EMT XVI: M » G Theorem.

Neural Stigmergy: Coordination Through Traces in the Substrate

TraceSubstrateLifetimeCoordination
Synaptic weightSynaptic cleftHours–yearsLTP/LTD: previous activation changes conductance
Neurotrophic factorExtracellular spaceDays–weeksBDNF regulates new connections (“architectural stigmergy”)
Glial signalAstrocyte networkMinutes–hoursCa2+ waves = “second medium” without direct synapses
Volume transmissionDistributed neuromodulationMinutes–hoursBroadcast mode-switching for the entire BMC graph

Cross-ref: NM Part X: Stigmergy; EMT Part XII.

Neurotransmitters as Global Modulators of the BMC Graph

Neurotransmitters as global modulators (Dayan 2012, volume transmission): DA = salience/learning, NE = attention gate, 5-HT = I-layer suppression, ACh = encoding mode, OT = in-group signal.

Fidelity substrate: Full = perforated synapses + CREB transcription; Skeletal = dynamic spines + early LTP; Trace = silent synapses (Isaac 1995) + spine persistence (Yang 2009).

Sleep sources: SHY (Tononi & Cirelli 2003/2014), triple coupling (Staresina 2015, Latchoumane 2017), spine formation (Yang 2014), systems consolidation (Diekelmann & Born 2010).

Intrinsic dynamics: Physical architecture creates “channels” — preferred activation paths. Some patterns are fundamentally unlearnable regardless of motivation (BCI experiments: monkeys cannot reverse neural pattern). Confirms: the G-layer (motivation) cannot override S-substrate constraints. Architecture > willpower.

G-factor = S quality: General intelligence G = metric of substrate S in BMC. High G = more efficient substrate: faster spreading activation, higher capacity, better pattern separation (neuroefficiency: less activation for same task). G is ~60–80% heritable (Bouchard 2004), stable across lifespan (r=0.72 at age 11 vs 80). Cognitive segregation: similar-G people form networks -> memeplex homophily. Assortative mating by IQ (4x stronger than by personality) = Baldwin Effect mechanism.

Hodgkin-Huxley -> sigmoid: The Hodgkin-Huxley model (4 coupled ODEs) justifies the sigmoid in spreading activation: threshold theta = resting->action potential transition; coupled feedback (V and gates) = activation and edge weights; refractory period = why memes cannot stay permanently active.

Theta rhythm: Hippocampal 4–12 Hz oscillation (medial septum pacemaker, HCN channels). Functions: (1) cross-modal synchronization — phase = common clock binding position, vision, emotion into a single snapshot; (2) temporal ordering — each cycle = chunk (past->present->future); theta sequences = episodic memory. Phase precession: spike timing encodes position in sequence. Without theta -> no recall, no planning.

SWR tag->replay: Two-stage memory selection: awake sharp-wave ripples (SWR) tag significant experiences at pauses -> sleep SWR replay and transfer to neocortex. Competition through inhibition: strongest patterns win. Temporal compression: seconds -> ~100ms (10x) fits STDP plasticity window.

Balance Activation Formula

$$Balance(t) = \frac{A_{PFC}(t)}{A_{limbic}(t) + \varepsilon}$$
BalanceRegimeBehavior
> 2M dominanceRational, controlled
1–2Healthy balanceAdaptive flexibility
< 1G dominanceImpulsive, instinctive

Dynamics: $\frac{dA_m}{dt} = \alpha \cdot S_m(t) - \beta \cdot S_u(t) - \gamma \cdot fatigue(t)$

Stress -> Balance drops. Exhaustion -> G dominance. Recovery -> Balance restores.

Diagram: Flows Between Structures

flowchart TD subgraph INPUT["Incoming Signals"] EXT[External stimuli] INT[Internal states] end subgraph G_PROC["Genetic Processing"] AM[Amygdala] -->|threat?| HT[Hypothalamus] HT -->|drive| NA[N. Accumbens] NA -->|reward| DA[Dopamine up] end subgraph I_PROC["Interface"] ACC[ACC] -->|conflict| OFC[OFC] OFC -->|assessment| INS[Insula] end subgraph M_PROC["Memetic Processing"] PFC[PFC] -->|plan| ASS[Associations] ASS -->|integration| TPJ[TPJ] end EXT --> AM EXT --> PFC INT --> HT INT --> INS G_PROC <-->|modulation| I_PROC I_PROC <-->|control| M_PROC DA -.->|influences| PFC DA -.->|influences| ACC

Numerical Example: Stress and Balance

Situation: A person receives criticism at work.

Time$A_{limbic}$$A_{PFC}$$Balance$Behavior
t=0 (before criticism)0.30.62.0Calm work
t=1 (moment of criticism)0.80.50.63Emotional reaction
t=2 (one minute later)0.60.40.67Defensive reaction
t=5 (five minutes later)0.50.61.2Rationalization
t=30 (thirty minutes later)0.30.72.3Analysis, planning

Interpretation: The immediate reaction is genetic (status threat). Through the interface (ACC detects conflict), PFC control gradually recovers.

Important clarification: This is a simplified model. Real neurodynamic processes are considerably more complex and include feedback loops, nonlinearities, and individual differences.

See also: Neurobiological substrate in the AGI context — AGI Foundations, Part I.


Part IV. Network Formalization: Genes as Special Nodes

The Problem: How to Integrate Genes into the Network Model?

Network Memetics formalizes memes as graph nodes. But this model does not include genetic programs. An extension is needed.

Extending the Model: The BMC Graph

Definition: The BMC graph is a graph containing two types of nodes:

$$G_{BMC} = (V_g \cup V_m, E_{gg} \cup E_{mm} \cup E_{gm})$$

where:

  • $V_g$ — utility nodes (genetic programs, fixed)
  • $V_m$ — memetic nodes (memes, dynamic)
  • $E_{gg}$ — connections between utility nodes (fixed)
  • $E_{mm}$ — connections between memes (dynamic)
  • $E_{gm}$ — connections between genes and memes (semi-dynamic)

Signed edges: All edge types have weights $w \in [-1, +1]$:

  • $w > 0$ — excitatory connection
  • $w < 0$ — inhibitory connection
  • $w = 0$ — no connection

Comparison of Node Types

PropertyUtility nodes ($V_g$)Memetic nodes ($V_m$)
OriginBuilt in geneticallyEnter from outside via imitation
MutabilityImmutableAdded/removed
Base activationConstant ($a^{base} > 0$)Zero without stimulus
ConnectionsFixed weightsDynamic weights
QuantitySmall (~20–50)Large (~$10^4 - 10^6$)
TopologyNot heavy-tailedHeavy-tailed

Utility Node Activation Formula

Unlike memes, utility nodes have a constant base activation:

$$a_g(t) = a_g^{base} + \sum_i w_{gi} \cdot stimulus_i(t)$$

where:

  • $a_g^{base}$ — base drive level (always > 0)
  • $w_{gi} \in [-1, +1]$ — weight of connection to stimulus $i$ (when $w_{gi} < 0$ the stimulus inhibits the utility node)
  • $stimulus_i(t)$ — stimulus intensity at time $t$

Example: Hunger drive

$$a_{hunger}(t) = 0.2 + 0.5 \cdot time\_since\_meal(t) + 0.3 \cdot smell\_food(t)$$

Note (AGI implementation): In the AGI prototype, the base formula is augmented with inertia — $a_u(t+1) = \alpha \cdot a_u(t) + (1-\alpha) \cdot target(t)$, which smooths utility dynamics and models the “viscosity” of biological drives. Details: AGI Foundations, Part I.

Diagram: Bipartite BMC Graph

flowchart LR subgraph VG["Utility Nodes (V_g)"] G1((Hunger)) G2((Fear)) G3((Sex)) G4((Status)) G5((Attachment)) end subgraph VM["Memetic Nodes (V_m)"] M1((Diet)) M2((Career)) M3((Family)) M4((Religion)) M5((Hobby)) M6((Values)) end G1 <-->|+0.8| M1 G1 <-->|+0.3| M4 G2 <-->|+0.6| M4 G2 <-->|+0.4| M2 G3 <-->|+0.9| M3 G3 <-.->|"-0.7"| M4 G4 <-->|+0.7| M2 G4 <-->|+0.5| M5 G5 <-->|+0.8| M3 G5 <-->|+0.6| M4 M1 <-.->|"-0.4"| M5 M1 <-->|0.4| M6 M2 <-->|0.6| M6 M3 <-->|0.7| M6 M4 <-->|0.9| M6 style G1 fill:#e74c3c style G2 fill:#e74c3c style G3 fill:#e74c3c style G4 fill:#e74c3c style G5 fill:#e74c3c style M1 fill:#3498db style M2 fill:#3498db style M3 fill:#3498db style M4 fill:#3498db style M5 fill:#3498db style M6 fill:#3498db

Table of Basic Utility Nodes

Utility nodeBase ActivationTriggersAssociated Memes
Hunger0.2Time without food, food smellDiet, cooking, restaurants
Fear0.1Threats, uncertaintySafety, religion, politics
Sexuality0.15Attractive stimuliRelationships, morality, fashion
Status0.25Social comparisonCareer, achievements, status goods
Attachment0.2Close people, groupFamily, friendship, patriotism
Curiosity0.15Novelty, puzzlesScience, art, hobbies
Aggression0.05Threat, frustrationSports, competition, warfare

Numerical Example: Activation Cascade

Situation: A person sees a food advertisement.

Initial conditions:

  • $a_{hunger}^{base} = 0.2$
  • $time\_since\_meal = 3$ hours
  • $stimulus_{smell} = 0.8$ (very appetizing ad)

Step 1: Activation of the “Hunger” utility node

$$a_{hunger} = 0.2 + 0.1 \cdot 3 + 0.3 \cdot 0.8 = 0.2 + 0.3 + 0.24 = 0.74$$

Step 2: Propagation to connected memes

MemeConnection WeightIncoming ActivationNew Activation
“Diet”0.8$0.74 \cdot 0.8 = 0.59$0.59
“Restaurant X”0.6$0.74 \cdot 0.6 = 0.44$0.44
“Health”0.4$0.74 \cdot 0.4 = 0.30$0.30

Step 3: Meme competition

The “Diet” meme activates the connected “Control” meme ($w = 0.7$), which inhibits the desire to eat.

The “Restaurant X” meme activates the “Pleasure” meme ($w = 0.8$), which reinforces the desire.

Result: The outcome depends on the relative strength of the memes and the current BMC balance.

Formalization of Interaction

Influence of a utility node on a meme:

$$\Delta a_m(t) = \alpha \cdot w_{gm} \cdot a_g(t) \cdot (1 - a_m(t))$$

where $(1 - a_m(t))$ is the “free capacity” of the meme (saturation).

Influence of a meme on a utility node:

$$\Delta a_g(t) = \beta \cdot w_{mg} \cdot a_m(t)$$

The direction of influence is now determined by the sign of the weight $w_{mg} \in [-1, +1]$: a positive weight reinforces the utility node, a negative one suppresses it. A separate sign(compatibility) parameter is no longer needed.

Example: DISGUST as Interpretation: the meme “this is disgusting” has $w_{mg} < 0$ toward the corresponding stimulus, which suppresses its activation in the memeplex.

See also: Network model of memes — NM, Part V; utility nodes in AGI — AGI Foundations, Part I.

Differentiated Storage: Ranked Completeness

Problem: The brain stores thousands of memes, but its capacity is limited. How does the system cope?

Solution: Memes are stored with different completeness (Fidelity) depending on their rank in the network and frequency of use.

Fidelity Function

$$Fidelity(m, t) = \frac{k_m^{\gamma}}{k_{max}^{\gamma}} \cdot e^{-\lambda_f (t - t_{last})} \cdot (1 - e^{-\beta \cdot age})$$
ParameterValueBiological Meaning
$k_m$Meme degreeNumber of connections (importance for the network)
$k_{max}$Max degreeNormalization by hubs
$\gamma$0.5–1.0Nonlinearity of hub preference
$\lambda_f$0.01–0.1 month$^{-1}$Rate of detail “forgetting”
$t_{last}$TimeTime of last activation
$\beta$0.1–0.5Rate of consolidation into long-term memory
$age$TimeTime since first acquisition

Orthogonality of Fidelity and Weight

Fidelity (storage completeness) and weight (sign of relationship) are independent characteristics of a meme. A meme can be well-studied yet rejected:

$w > 0$ (accepted)$w < 0$ (rejected)
High FidelityActive belief, part of identityAntibody: a well-studied “enemy”
Low FidelityVague sympathy, background agreementVague antipathy, “something’s wrong”

Antibody = a meme with high Fidelity and negative weight. The memeplex stores a detailed threat model for quick recognition and blocking. Degree $k_m$ in the Fidelity formula counts all meme connections — both positive and negative.

Three Storage Modes

ModeFidelityWhat Is PreservedNeurobiological Substrate
Full> 0.7Core + all connections + detailsCortical networks + hippocampus
Skeletal0.3–0.7Core + primary connectionsCortical networks (without details)
Trace< 0.3Only core or fragmentWeak cortical traces
stateDiagram-v2 [*] --> Full: Acquisition (LTP) Full --> Skeletal: Detail degradation
(peripheral LTD) Skeletal --> Trace: Connection degradation
(continued LTD) Trace --> [*]: Complete loss
(synaptic pruning) Trace --> Skeletal: Reactivation
(new LTP) Skeletal --> Full: Intensive use
(consolidation) note right of Full: Hippocampus active note right of Skeletal: Cortex only note right of Trace: Minimal traces

Neurobiological Substrate of Fidelity

The three meme storage modes correspond to specific molecular and structural synaptic states:

ModeFidelitySynaptic BasisMolecular MechanismTimescale
Full> 0.7Perforated synapses, large stable spinesCREB-dependent transcription, new protein synthesisDays -> years (structural stabilization)
Skeletal0.3–0.7Dynamic medium-sized spinesEarly-phase LTP (protein synthesis-independent)Hours -> days
Trace< 0.3Silent synapses, dendritic tagsNMDA-only receptors (without AMPA), spine persistenceMinutes -> months

Silent synapses (Isaac et al., 1995, Neuron): synapses containing only NMDA receptors (without AMPA). They do not transmit signals during normal activation but preserve a structural trace — the basis for rapid reactivation.

Spine persistence (Yang et al., 2009, Nature): dendritic spines formed during learning persist for months even without repeated activation. This is the physical basis of trace storage: the meme is “forgotten” functionally, but its structure is not erased.

Reactivation and savings effect (Ebbinghaus, 1885): relearning a forgotten skill occurs significantly faster than learning de novo — because silent synapses and dendritic tags are not erased. Savings = the difference between initial learning and relearning.

Consolidation timescales:

PhaseTimeMechanismWhat Is Formed
Short-termMinutesEarly LTP (phosphorylation)Temporary strengthening of existing synapses
IntermediateHoursProtein synthesisNew receptors, spine growth
Long-termDaysGene transcription (CREB)New synapses, perforation
StructuralWeeks -> yearsStructural stabilizationStable spines, myelination

Adaptive Significance

AdvantageMechanismBiological Benefit
Energy savingsPeriphery not actively maintained-20% metabolic costs
Rapid reactivationCore preserved, connections restoredDays instead of years
Automatic prioritizationHubs (high degree) stored more completelyImportant things not forgotten
Update flexibilityDetails change, core remains stableAdaptation without identity loss

Key Example: Foreign Language

Scenario: 5 years of study -> 10 years without practice -> one week in the language environment

flowchart TD subgraph T0["After training (t=0)"] direction TB A1["Grammar: FULL"] A2["Vocabulary: 5000 words"] A3["Pronunciation: precise"] A4["Idioms: rich"] A5["Fidelity = 0.90"] end subgraph T10["After 10 years (t=10)"] direction TB B1["Grammar: PRESERVED (core)"] B2["Vocabulary: 200 words (core)"] B3["Pronunciation: lost"] B4["Idioms: forgotten"] B5["Fidelity = 0.25"] end subgraph TR["After reactivation (t=10+7d)"] direction TB C1["Grammar: FULL"] C2["Vocabulary: 3000 words"] C3["Pronunciation: improving"] C4["Idioms: partially"] C5["Fidelity = 0.60"] end T0 -->|"10 years without practice
peripheral LTD"| T10 T10 -->|"7 days exposure
reactivation LTP"| TR

Why “remembered” (days) rather than “learned anew” (years)?

ProcessDuring LearningDuring Reactivation
SynaptogenesisYes (slow)No
LTPCreating new patternsStrengthening existing ones
ConsolidationHippocampus -> cortexAlready in cortex
TimeYearsDays

The language core (grammatical structures, basic vocabulary) is already consolidated in the cortex. Reactivation merely strengthens weakened synapses — faster than creating new ones.

Reactivation Dynamics

$$\frac{d(Fidelity)}{dt} = \rho \cdot (1 - Fidelity) \cdot exposure(t)$$

where:

  • $\rho$ — reactivation rate (0.1–0.5 day$^{-1}$)
  • $exposure(t)$ — exposure intensity (0–1)

Property: Initial reactivation is fast (at low Fidelity there is much “free capacity”), then slows down.

Model Predictions

PredictionTestLiterature
A forgotten language is recovered 10–100x faster than learnedComparison relearning vs. learningHansen et al. (2010)
Grammar is preserved better than vocabularyGrammar vs. vocabulary testsBahrick (1984)
Childhood memes are more resilient than adult onesLongitudinal studyConway et al. (2009)
Hubs (high centrality) degrade lastNetwork analysis + memory testStasevich (in development)

Network formalization: Full Fidelity formula and numerical examples — see NM, Part VIII.

AGI application: Skeletal storage in artificial systems — see AGI Foundations, Part III.

Practical consequence: Mnemonics as a way to increase meme connectivity. More connections -> slower decay -> higher Fidelity. See NM: Associative memory vs. isolated memorization.

Multilevel Memory: Neurobiological Basis of $\kappa$

The mechanisms of edge decay, Fidelity, SIT, and continuous activation $a_i$ give rise to multilevel memory as an emergent property — without a separate module. Consolidation level $\kappa_i(t) \in \{0, 1, 2\}$ is a derived discrete parameter classifying the depth of a meme’s inscription in the neural substrate.

Molecular Markers of $\kappa$-Levels

$\kappa$Memory TypeNeural SubstrateMolecular MechanismTimescale
0 (sensory)Sensory bufferPrimary sensory cortexDecaying excitation, STD (vesicle depletion)~250 ms – 2 s
1 (STM)Short-termHippocampus (DG -> CA3 -> CA1)E-LTP: AMPA phosphorylation, CaMKII; pattern separation in DGMinutes – hours
2 (LTM)Long-termNeocortex (systems consolidation)L-LTP: CREB -> protein synthesis -> new spines; structural LTPDays – years

Neurobiology of $\kappa$-Transitions

$\kappa: 0 \to 1$ (sensory -> STM). The meme passes the I-filter (ACC / insula assess compatibility) -> hippocampal encoding. Mechanism: glutamate -> NMDA receptors -> Ca2+ influx -> CaMKII -> AMPA trafficking -> E-LTP. Speed: seconds. Pattern separation in the dentate gyrus (DG) ensures the uniqueness of each new meme even when similar to old ones.

$\kappa: 1 \to 2$ (STM -> LTM). Three competing pathways:

  1. Spaced repetition ($n_{react} \geq N_{crit}$): repeated co-activation -> late LTP -> CREB-dependent transcription -> BDNF -> growth of new spines -> structural LTP. Typical threshold: 3–5 reactivations with intervals >= hours.

  2. Emotional tag ($G_{align} > \theta_G$): amygdala (BLA) -> norepinephrine/cortisol -> enhanced hippocampal LTP; awake SWR tagging (Buzsaki, 2024, Science) marks the meme for overnight consolidation. Accelerated pathway: 1–2 exposures sufficient.

  3. Hub status ($Fidelity \geq F_{LTM}$): a meme with high degree ($k_m$) -> many synaptic contacts -> automatic strengthening via heterosynaptic metaplasticity (Abraham, 2008). Hubs consolidate “by themselves” — through constant reinforcement from neighbors.

$\kappa: 2 \to 1$ (deconsolidation). Prolonged disuse -> spine retraction (Yang et al., 2009): dendritic spines shrink, AMPA receptors are internalized. The structure (NMDA-only silent synapses) is preserved -> savings effect: reactivation 10–100x faster than new learning. The meme transitions from Full -> Skeletal -> Trace mode.

$\kappa: 1 \to \varnothing$ (pruning). Two mechanisms:

  • Passive: Synaptic downscaling (SHY, Tononi & Cirelli, 2014) during sleep: proportional weakening -> weak connections erased
  • Active: Microglial pruning (complement-tagging: C1q/C3 -> phagocytosis of inactive synapses; Schafer et al., 2012, Neuron)

Engram Allocation: Competition for Consolidation

Not all STM memes transition to LTM — neurons compete for inclusion in the engram:

  • CREB-dependent excitability (Josselyn & Frankland, 2015): neurons with high CREB -> increased excitability -> “win” allocation. In BMC: memes with high $C_E$ (eigenvector centrality) -> more frequently co-activated -> priority.
  • Memory linking (Cai et al., 2016, Nature): events within a ~6-hour window share neurons (overlapping engrams) -> causal association. In BMC: memes created within close $\Delta t$ acquire shared edges.
  • Stress -> engram expansion: cortisol increases the number of neurons in the engram -> generalized memories -> loss of specificity (PTSD). In BMC: high $E_{emot}$ -> multiple connections -> over-consolidation with loss of precision.

CLS: Two Storage Systems

Complementary Learning Systems (McClelland et al., 1995; O’Reilly et al., 2014):

Hippocampus ($\kappa = 1$)Neocortex ($\kappa = 2$)
LearningFast, one-shotSlow, interleaved
PatternsSeparated (unique)Overlapping (categories)
MemoryEpisodic (details)Semantic (gist)
VulnerabilityCatastrophic forgetting under overloadCatastrophic interference under rapid learning
In BMCNew DYN nodes, high Fidelity, $\kappa = 1$Consolidated hubs, $\kappa = 2$

Transfer $\kappa: 1 \to 2$ = active systems consolidation: SWR replay -> triple coupling (SO -> spindles -> SWR) -> cortical recording. More details — in the next section.

Schema-Congruence (SLIMM): I-Compatibility Determines Speed

Schema-Linked Interactions between Medial and Memory systems (van Kesteren et al., 2012):

Meme TypeI-CompatibilityPathwaySpeed $\kappa: 1 \to 2$Detail Level
Congruent with schemaHighmPFC -> fast integrationFastLow (gist)
IncongruentLowHippocampus -> detailed encodingSlowHigh
Radically new (high SIT)Low, but SEEKING upAmygdala -> emotional tagFastHigh

In BMC this U-shaped curve arises naturally: I-compatible memes integrate quickly (many attachment points); radically new ones receive an emotional boost through SEEKING/G-alignment. Intermediate ones (moderately unfamiliar, without emotion) are the most vulnerable.

Formalization: Definition of $\kappa_i(t)$, transition conditions, formulas — see NM, Part VIII.

Conceptual framework: BMC -> memory type mapping, predictions — see EMT, Part VIII.

Activity-Silent WM: The Synaptic Mechanism

The classical WM model (Fuster, 1973; Goldman-Rakic, 1995) explains information retention through sustained firing of PFC neurons — Active WM. However, evidence shows that WM also stores information without elevated activity — through synaptic short-term plasticity (STP) (Mongillo, Barak & Tsodyks, 2008, Science; Stokes, 2015, Trends in Cognitive Sciences).

STP mechanism: After firing cessation, elevated Ca2+ concentration remains in the presynaptic terminal (tens of seconds). The next spike causes facilitation — enhanced neurotransmitter release. Information is encoded not in neuron activity but in the pattern of potentiated synapses. This is the neurobiological substrate of $\psi_i$ in BMC: a synaptic trace existing when $a_i \approx 0$.

Pinging — experimental evidence: A TMS pulse (Rose et al., 2016, Journal of Cognitive Neuroscience) or orienting stimulus (Wolff et al., 2017, Nature Neuroscience) reactivates a “forgotten” WM item that was not decodable from neural activity before stimulation. In BMC: external signal (spreading activation) x synaptic trace ($\psi$) -> reactivation.

ComponentActive WMLatent WM (activity-silent)
Neural substrateSustained firing (PFC, dlPFC)STP (residual Ca2+, facilitation)
Decodability (fMRI/EEG)YesNo (only after pinging)
Capacity~3–4 elements (Cowan, 2001)~3–4 elements
DurationSeconds (requires maintenance)Tens of seconds – minutes (STP decay)
BMC variable$a_i > \theta_{act}$, $i \in$ top-k$\psi_i > \theta_\psi$, $a_i < \theta_{act}$

Panichello & Buschman (2021), Nature: WM representations in PFC are “morphed” — partially recoded during attention switching, but recovered upon re-attention. This is consistent with the model: the $\psi$-trace preserves the meme’s “address” but not its full activation; reactivation requires repeated spreading activation through preserved synaptic weights.

Formalization: Definition of $\psi_i(t)$, two-compartment WM model, pinging, pointer lifecycle — see NM, Part VIII.

Episodic Memory: Neurobiological Substrate

Episodic Memory Barcodes

The hippocampus generates sparse random activation patterns unique to each event — barcodes (Chettih et al., 2024, Cell). Key properties:

PropertyValueFunction
Sparseness~5–10% of CA1 neuronsMinimizing interference between episodes
RandomnessIndependent of contentContent-independent index (like a hash code)
OrthogonalityCosine similarity < 0.1Different episodes -> different addresses
Pattern completion~30% of barcode sufficientPartial cue -> full recovery

Generation mechanism: The dentate gyrus (DG) performs pattern separation — transforming similar inputs into orthogonal representations through sparse activation of granule cells (~2–6% simultaneously active). DG -> CA3 (pattern completion via recurrent connections) -> CA1 (output + temporal ordering). The barcode is formed at the DG->CA3 junction: a random sparse sample from granule cells, fixed via rapid E-LTP.

In BMC terms: the barcode = a sparse subset of memes co-activated at episode onset. It does not encode content — it serves as a pointer through which spreading activation recovers the full set of episode memes.

Time Cells: Temporal Order Within an Episode

In CA1, time cells have been discovered — neurons that fire at a specific moment relative to episode onset (MacDonald et al., 2011, Neuron; Eichenbaum, 2014, Nature Reviews Neuroscience). Time cells create a temporal scaffold for the episode:

Neuron TypeLocalizationWhat It EncodesTimescale
Place cellsCA1/CA3Spatial position
Time cellsCA1Position on the temporal axis within the episodeSeconds – minutes
Ramping neuronsmPFC, entorhinal cortexDistance to the episode boundarySeconds

Time cells provide a temporal scaffold: within an episode, memes are not merely co-active — they are ordered. During recall, order is recovered through sequential reactivation of time cells. Without time cells — recall without order (semantic memory: “I know that X” but not “first X, then Y”).

Connection to theta rhythm: Theta-binding (~125 ms, see above) synchronizes components of a single moment. Time cells operate on a larger scale — ordering moments within an episode. Phase precession bridges these scales: spike order within a theta cycle reflects trajectory order (Dragoi & Buzsaki, 2006).

Event Boundary Neurons: Where a New Episode Begins

Episode boundaries are not arbitrary — they are detected by specialized neural circuits:

  • Hippocampal boundary signals: CA1 activity changes sharply upon context switch — even without sensory changes (Baldassano et al., 2017, Neuron). The CA1 pattern “resets” — the old barcode deactivates, a new one is generated
  • mPFC event model: The medial prefrontal cortex maintains a “current event model.” Upon prediction error, the model updates -> signal to hippocampus -> boundary (Zacks et al., 2007, Psychological Bulletin)
  • Dopaminergic gating: Ventral tegmental area (VTA) -> hippocampus: a dopamine signal upon surprise marks the boundary and enhances encoding of the new episode (Shohamy & Adcock, 2010, Trends in Cognitive Sciences)

In BMC terms: Event boundary = the moment when prediction error ($\Delta_{PE}$) or a change in G-modulation exceeds a threshold. Neural substrate: mPFC monitors the event model; upon mismatch -> DA signal -> hippocampus resets the barcode.

Hippocampal Indexing Theory

The hippocampus stores not the memories themselves but indices (Teyler & DiScenna, 1986, Behavioral Neuroscience):

Hippocampus (index):  B_k -> [pointer_visual, pointer_auditory, pointer_emotional, ...]
Cortex (content):     visual_area: scene details
                      auditory_area: sounds
                      amygdala: emotional valence

Retrieval: cue -> hippocampus reactivates $B_k$ -> via index, cortical patterns are recovered -> full episode. This explains retrograde amnesia with hippocampal damage: content in cortex is intact, but indices are lost -> no access.

In BMC terms: Barcode = Teyler-DiScenna index. Memes ($\kappa = 2$, semantic) are stored in the graph. Barcodes ($\kappa = 1$, episodic) are temporary pointers to meme configurations. Trace transformation = index loss while content is preserved.

Barcode Lifecycle: Neurobiology

PhaseNeural ProcessBMC Analog
CreationDG pattern separation -> sparse E-LTP in CA3$B_k$ generation at event boundary
TaggingAwake SWRs mark barcode for replay (Buzsaki, 2024)SWR tag -> priority for overnight consolidation
Sleep replaySleep SWR reactivates barcode with ~10x compressionPattern completion: $B_k$ -> $M_k$ -> DECOMPOSE
ConsolidationContent -> L-LTP in neocortex; hippocampal trace weakens$M_k$: $\kappa: 1 \to 2$; $B_k$: replay ceases, coherence drops
FadingNeurogenesis in DG displaces old engrams (Akers et al., 2014, Science)$B_k$ lost; trace transformation complete
FlashbulbAmygdala -> enhanced E-LTP + protection from neurogenesisEmotional tag -> $B_k$ preserved -> vivid recall

Formalization: Definition of $\varepsilon_k$, event boundary detection, temporal chaining — see NM, Part VIII.

Conceptual framework: Episodes as discrete units of experience — see EMT, Part VIII.

Sleep as a Meme Consolidation Mechanism

The Problem: The Working Memory Buffer

The hippocampus functions as a working memory buffer with limited capacity. During the day, new memes accumulate in this buffer — both received from outside and internally synthesized. The buffer overflows -> unloading is necessary.

Solution: Sleep is the process of transfer from the buffer (hippocampus) to long-term storage (neocortex).

Active Systems Consolidation: The Transfer Mechanism

Triple coupling — temporal coordination of three oscillations (Staresina et al., 2015, Nature Neuroscience — hierarchical nesting SO->spindles->ripples in humans; Latchoumane et al., 2017, Neuron — causal proof through optogenetic spindle induction):

OscillationFrequencySourceFunction
Slow oscillations (SO)0.5–1 HzNeocortex“Window” for recording
Sleep spindles11–15 HzThalamusSynaptic plasticity
Sharp-wave ripples (SWRs)80–120 HzHippocampusMemory reactivation
sequenceDiagram participant Neo as Neocortex participant Thal as Thalamus participant Hipp as Hippocampus Note over Neo,Hipp: Slow-wave sleep cycle Neo->>Neo: Slow oscillation (UP state) Neo->>Thal: Triggers spindle Thal->>Thal: Sleep spindle (11-15 Hz) Thal->>Hipp: Enables replay window Hipp->>Hipp: Sharp-wave ripple Hipp->>Neo: Memory transfer Neo->>Neo: Synaptic consolidation

Two-stage SWR system — tag -> replay: Consolidation begins not during sleep but during wakefulness. Awake SWRs occur during activity pauses (stops, task completion) and mark significant episodes for subsequent consolidation — this is tagging (Jadhav et al., 2012, Science; Fernandez-Ruiz et al., 2019, Science). In terms of episodic memory (see above): awake SWR tags the barcode $B_k$ of an episode; sleep SWR reactivates $B_k$ -> through pattern completion the full $M_k$ is recovered -> DECOMPOSE. Compression ~10x (seconds -> ~100 ms) falls exactly within the STDP plasticity window of the neocortex (Buzsaki, 2015, Neuron). Competition through inhibition creates narrow windows — the strongest patterns (with highest centrality) win, explaining differential decay: $\lambda_{ij} = \lambda_0 / (1 + \alpha \cdot C(i) \cdot C(j))$.

Theta rhythm as a substrate clock: In addition to overnight triple coupling, a key role in meme formation is played by the theta rhythm (4–12 Hz) — the hippocampus’s internal clock, generated by the medial septum through HCN channels (Buzsaki, 2002, Neuron). Theta performs two functions: (1) modality synchronization — the phase of the theta cycle = a common clock for binding meme components (visual + emotional + contextual -> one cell assembly); (2) ordering — each theta cycle = one chunk (past->present->future), theta sequences are stitched into an episodic chain (Dragoi & Buzsaki, 2006, Neuron). Phase precession provides a temporal code: spike order within a cycle = meme order on a trajectory. Without theta rhythm, internal sequences (recall, planning, SIT-driven navigation) do not arise — this is a fundamental S-constraint on memeplex dynamics.

Connection to triple binding: Theta-mediated synchronization is the neural substrate of temporal binding: memes activated within a single theta window (~125 ms) are bound into a unified cluster of consciousness. Along with structural binding (ensemble overlap, see below) and competitive binding (WM competition — only a coherent coalition is admitted), three binding types are formalized in NM, Part XIV.

Consolidation probability formula:

$$P_{cons} = \alpha_{SO} \cdot \alpha_{spindle} \cdot \alpha_{SWR} \cdot (1 + \gamma \cdot E_{emotional})$$

where:

  • $\alpha_{SO}, \alpha_{spindle}, \alpha_{SWR}$ — amplitudes of corresponding oscillations (normalized, 0–1)
  • $E_{emotional}$ — emotional intensity of the experience (0–1)
  • $\gamma$ — emotional enhancement coefficient (~1.0–2.0)

Decomposition, Binding, and Recombination During Sleep

Model: Integral experience -> decomposition -> binding -> recombination (BLEND) -> pruning

The consolidation cycle includes five steps:

FOR each consolidation cycle:
  1. DECOMPOSE: decompose the experience into components (SWS, sharp-wave ripples)
  2. CONNECT: bind components to existing categories (SWS -> neocortex)
  3. BLEND: recombine components from different clusters (REM)  <-- NEW
  4. PRUNE: remove weak edges (synaptic homeostasis)
  5. STRENGTHEN: reinforce frequent edges (repeated replay)

The BLEND step is the key addition: during REM sleep, overlapping replay of related memories reinforces shared elements, forming cognitive schemas (Lewis & Durrant, 2011), creating conditions for meme recombination across clusters. Sleep restructures memory representations, facilitating “morning-after” insights (Wagner et al., 2004).

Neurobiological Basis of Sleep Processes

Synaptic Homeostasis Hypothesis (SHY) (Tononi & Cirelli, 2003, Brain Research Bulletin; Tononi & Cirelli, 2014, Neuron): wakefulness = net synaptic potentiation (learning strengthens synapses). Sleep = net synaptic downscaling (proportional weakening of all synapses). Result: strong pathways survive, weak ones are erased — this is the physical basis of PRUNE in our model.

Spine formation during sleep (Yang et al., 2014, Science): motor skill learning -> sleep -> growth of new dendritic spines on specific dendritic branches (not random). REM sleep deprivation blocks this process. This is the physical basis of STRENGTHEN.

Active systems consolidation (Diekelmann & Born, 2010, Nature Reviews Neuroscience): SWS provides systems consolidation (hippocampus -> neocortex transfer), REM provides synaptic consolidation (stabilization of transferred traces). The dual mechanism explains why both sleep phases are necessary.

Correspondence of sleep phases and operations on the BMC graph:

OperationSleep PhaseNeural MechanismSource
DECOMPOSESWSSharp-wave ripples reactivate patternsDiekelmann & Born 2010
CONNECTSWS -> neocortexTriple coupling (SO + spindles + SWRs)Staresina et al. 2015
BLENDREMOverlapping replay, chaotic recombinationLewis & Durrant 2011
PRUNESWSSynaptic downscaling (SHY)Tononi & Cirelli 2014
STRENGTHENREM/SWSSpine growth on specific branchesYang et al. 2014

Trace Transformation: The Synaptic Mechanism

Repeated replay transforms the engram at the molecular level — separating the fate of core and peripheral synapses:

  • Core synapses (high co-activation, connection to G-drives): replay -> repeated LTP -> CREB-dependent transcription -> BDNF -> new spines (Yang et al., 2014) -> structural LTP. Result: neocortical representation strengthened ($\kappa: 1 \to 2$).

  • Peripheral synapses (weak co-activation, contextual details): SHY downscaling (Tononi & Cirelli, 2014) -> proportional weakening -> below survival threshold -> microglial pruning (C1q/C3-tagging). Result: detail lost.

  • Barcode ($B_k$ in DG/CA3): maintained as long as replay continues. When core memes are integrated in the neocortex and replay ceases, neurogenesis in DG creates new neurons that integrate into existing circuits and degrade old barcode sparseness through interference — not direct replacement but pattern rewriting (Akers et al., 2014, Science; blocking neurogenesis slows forgetting) -> $B_k$ loses distinguishability -> retrieval via barcode impossible -> memory = gist without the episodic “wrapper.”

Molecular timescale of trace transformation:

StepMechanismTimeResult for BMC
E-LTPCaMKII, AMPA traffickingHours$\kappa = 1$: STM encoding
L-LTPCREB -> protein synthesis -> BDNFDaysBeginning of $\kappa: 1 \to 2$ for core memes
Structural LTPSpine growth, stabilizationWeeks$\kappa = 2$: LTM
Systems consolidationHippo -> neo transfer completeMonthsBarcode lost, gist in neocortex

Formalization: Fidelity_core(n), Fidelity_periph(n), N_replay^req, timeline — see NM, Part VIII.

Example: First visit to a castle

Input ExperienceDecompositionBinding to Categories
VisualGray stone, towers, narrow windows-> “Antiquity,” “Middle Ages”
TactileCold, dampness, roughness-> “Dungeon,” “Discomfort”
EmotionalAwe, slight fear-> “Grandeur,” “Protection,” “Permanence”
SpatialSpiral staircases, enfilades-> “Labyrinth,” “Verticality”

Result: A new meme group “medieval castles” is created, connected to all the above categories. The first visited castle “colonizes” this group.

flowchart TD subgraph INPUT["Input experience: Castle visit"] EXP((Integral
episode)) end subgraph DECOMP["Decomposition (SWS)"] V1[Gray stone] V2[Towers] T1[Cold] T2[Dampness] E1[Awe] E2[Fear] end subgraph CATEGORIES["Existing categories"] C1[Antiquity] C2[Protection] C3[Discomfort] C4[Grandeur] end subgraph BLEND["BLEND (REM): recombination"] B1[Antiquity +
Grandeur] end subgraph NEW["New group"] N1[Medieval
castles] end EXP --> V1 & V2 & T1 & T2 & E1 & E2 V1 -->|w=0.4| C1 V2 -->|w=0.5| C2 T1 -->|w=0.3| C3 T2 -->|w=0.3| C3 E1 -->|w=0.7| C4 E2 -->|w=0.6| C2 C1 & C4 -->|BLEND| B1 V1 & V2 & E1 & E2 & B1 --> N1 style E1 fill:#ffcccc style E2 fill:#ffcccc style B1 fill:#ffffcc style N1 fill:#ccffcc

New connection weight formula:

$$w_{new}(m, c) = w_{base} \cdot (1 + \gamma \cdot E_{emotional}) \cdot N_{replay}$$

where:

  • $w_{base}$ — base weight (~0.3)
  • $E_{emotional}$ — emotional intensity (0–1)
  • $N_{replay}$ — number of overnight reactivations (typically 5–20)
  • $\gamma$ — emotional enhancement coefficient (~1.0–2.0)

Emotional Enhancement of Connections

Empirical base:

  • Wagner et al. (2001): emotional memories are enhanced by sleep
  • Payne et al. (2008): REM sleep is critical for emotional memory

Modified edge decay:

$$\lambda_{eff}(e) = \lambda_0 \cdot \frac{1}{1 + \gamma \cdot E_{emotional}(e)}$$

Emotionally colored connections (biomemetic in nature) decay more slowly.

Dreams: REM as Stochastic BLEND With Weakened I-Layer

Consolidation during sleep = optimization of the M-layer. But dreams are a separate phenomenon requiring explanation: why dream content is bizarre and why it is not random.

Neurochemical basis of I-layer weakening:

NeurotransmitterWakefulnessREM SleepConsequence for I-Layer
AcetylcholineNormalElevatedEnhances M-activation, but without control
Norepinephrine (LC)NormalNear 0 (LC silent)I-layer loses “attentional” control
Serotonin (raphe)NormalNear 0Lowered threshold for strange associations
ACC/insulaActive (conflict detection)SuppressedI-filter disabled

Result: The M-layer actively recombines (BLEND), but without I-filtration. Meme combinations that are rejected during the day by the immune system as incompatible freely form temporary clusters -> bizarre dreams.

Dream content via SIT:

SIT-gaps (unresolved questions from the day) maintain high activation through the night. During BLEND they function as attractors for stochastic recombination: the M-layer tries to close gaps by testing combinations without I-constraints. This explains why we often dream about themes that concern us.

Functional consequences:

Dream TypeNeuromechanismFunction
OrdinaryBLEND + SIT-attractorsRecombination, seeking closure through new connections
NightmareAmygdala hyperactive (FEAR) + I-suppressedFEAR-dominant G-stimulation of M-layer
Lucid dreamingPartial reactivation of ACC + dlPFCI-layer partially restored -> control over BLEND
REM without dreamsBLEND without sufficient M-activationQuiet weight consolidation

Compatible data:

  • Voss et al. (2009): lucid dreamers show elevated ACC and dlPFC activity — structures interpreted as the I-layer in BMC
  • Walker & Stickgold (2004): REM deprivation reduces creativity — compatible with loss of BLEND recombination
  • Nir & Tononi (2010): neural activity in REM resembles wakefulness in strength but not in pattern — compatible with a stochastic M-mode

Conceptual connection: Dreams as a BMC mechanism — see EMT; offline simulation in AGI — see AGI Foundations.

Sleep Quality’s Effect on Fidelity

Extended formula:

$$Fidelity(m, t) = \frac{k_m^{\gamma}}{k_{max}^{\gamma}} \cdot e^{-\lambda_f (t - t_{last})} \cdot (1 - e^{-\beta \cdot age}) \cdot S_{quality}$$

where $S_{quality}$ — sleep quality (0–1):

$$S_{quality} = w_{SWS} \cdot \frac{t_{SWS}}{t_{SWS}^{norm}} + w_{REM} \cdot \frac{t_{REM}}{t_{REM}^{norm}}$$

Typical values: $w_{SWS} = 0.6$, $w_{REM} = 0.4$, $t_{SWS}^{norm} \approx 100$ min, $t_{REM}^{norm} \approx 90$ min.

Numerical Example: Night After Visiting a Castle

TimePhaseProcessCycle StepResult
23:00–00:30NREM1-2Transition to sleepBuffer full
00:30–02:00SWSTriple coupling, replay #1–5DECOMPOSE + CONNECTDecomposition into 12 components
02:00–03:00REMRecombination + emotional integrationBLENDStrengthening “awe,” “fear” connections; new combinations
03:00–05:00SWSReplay #6–15CONNECT + PRUNEBinding to categories, removing weak ones
05:00–07:00REMGeneralization + recombinationBLEND + STRENGTHENFormation of “castles” category, insights

Summary:

  • ~40 new connections created
  • Emotional connections: $w \approx 0.7$ (high)
  • Neutral connections: $w \approx 0.4$ (medium)
  • After one year without repetition: emotional connections will persist, neutral ones will degrade

Model Predictions

PredictionTestStatus
Sleep deprivation impairs consolidationWalker (2017)Confirmed
Emotional memes consolidate fasterPayne et al. (2008)Confirmed
TMR accelerates consolidation of target memesRasch et al. (2007)Confirmed
SWS quality predicts FidelityIn development

Network formalization: Overnight network optimization and sleep’s effect on edge decay — see NM: Overnight network optimization.

Operationalization for native BMC: Sleep cycle with DECOMPOSE -> CONNECT -> BLEND -> PRUNE -> STRENGTHEN -> REPLAY phases, including S-input shutdown and modulator regimes of the three engines (AGI Foundations, Part VII).

Active Forgetting: Molecular Mechanisms

Passive decay (SHY — Tononi & Cirelli, 2014) is not the only forgetting mechanism. Neurobiology identifies at least 6 molecular pathways of active forgetting:

#MechanismMolecular PathwayTimescaleBMC Analog
1Dopamine double-receptordDA1 -> learning; DAMB -> forgetting (Berry et al., 2012; Yi Zhong)HoursI-gate: one signal encodes, another erases
2Rac1/Cdc42 cascadeRac1 -> PAK -> Cofilin -> actin depolymerization (Shuai et al., 2010)Hours–daysI-suppression -> Fidelity damage
3AMPAR internalizationClathrin-mediated endocytosis (Dong et al., 2015)Minutes$w_{ij}$ decrease
4Neurogenesis (DG)New neurons -> engram competition (Akers et al., 2014)WeeksInterference
5Microglial pruningC1q/C3 -> synapse phagocytosis (Schafer et al., 2012)Days–weeksSleep pruning
6Prefrontal inhibitionPFC -> GABA -> thalamus/hippocampus (Anderson & Green, 2001)SecondsI-mediated suppression ($I_{sig}$)

BMC unifies all 6 mechanisms along two axes: passive (SHY, neurogenesis-interference — background process without intentionality) vs. active (GABA inhibition, Rac1 cascade — the I-system triggers suppression of specific memes). Key discovery by Yi Zhong: active forgetting is not a side effect but a separate biochemical process, regulated independently of learning.

Reconsolidation: The Plasticity Window

Nader et al. (2000) — the seminal experiment: anisomycin injection (protein synthesis blocker) after reactivation of consolidated memory -> memory loss. Conclusion: recall places an LTM meme into a labile state requiring renewed protein synthesis (re-stabilization).

PE-dependency. Pedreira et al. (2004): recall without prediction error does not trigger lability. Reconsolidation is triggered only by expectation-reality mismatch — “routine” recall is safe.

Boundary conditions. Suzuki et al. (2004): old and strong memories are more resistant to reconsolidation — they require greater PE or longer reactivation. Mechanism: multiple replay cycles create a distributed engram with redundant connections that is not fully destabilized by a single recall.

Therapeutic application. Schiller et al. (2010): reconsolidation update protocol — extinction within the 6-hour lability window updates fear memory without erasure. In BMC terms: recall + moderate PE -> update ($w_{ij}$ are modified, $\kappa$ preserved), not erase ($F_i \to F_{trace}$).

Network formalization: $I_{sig}$, $Labile(m_i, t)$, RIF, boundary conditions, 4 predictions — see NM: Active forgetting and reconsolidation.

Automatization: Neurobiological Substrate

The transition from deliberative (WM-dependent) to automatic (WM-independent) execution of behavioral sequences has a clear neurobiological correlate: a shift of control from dorsomedial striatum (DMS) to dorsolateral striatum (DLS).

Learning StageNeural SubstratePlasticityBMC Mechanism
Early (deliberative)PFC -> DMS, hippocampusCorticostriatal LTP (DMS)$habit \approx 0$, WM-controlled
Intermediate (chunking)DMS + DLS co-activeChunking in DMS, DLS beginningChunk formed, $habit < \theta_{habit}$
Late (automatic)DLS-SNr-PF-DLS loopThalamostriatal LTP (DLS)$habit > \theta_{habit}$, $Auto(S)$ active, WM cost -> 0
Override (de-auto)vlPFC -> premotor -> DMS reactivationPrefrontal inhibition of DLS$Cost_{override} \propto habit^2$

Grillner et al. (2025, PNAS): DLS-SNr-PF-DLS loop as a “habit repository” — a closed loop through basal ganglia and thalamus requiring no cortical control. Key data: (a) cortex is dispensable for expression of already automatized sequences (motor cortex lesion does not disrupt habits); (b) ZIP injection (PKMzeta inhibitor) into DLS -> habit loss with preserved deliberative skill; (c) plasticity is localized in thalamostriatal (PF->DLS) synapses, not corticostriatal.

Turner et al. (2022, J Neurosci): DMS and DLS functionally compete — DMS engagement early in learning slows transition to DLS-dominant mode (the deliberative system “does not release” control). DMS damage accelerates automatization — without a competitor, DLS “takes over” earlier. This explains why explicit verbalization (deliberation) slows motor learning (Masters, 1992, British Journal of Psychology).

Chunking is not automatization. These are orthogonal processes with dissociable neural substrates: chunking = uniting elements into a unit (DMS-mediated, hippocampal pre-ordering; Soni & Frank, 2025, eLife — chunking as a WM optimization strategy through PFC-BG gating); automatization = transfer of control to DLS (habit-learning). One can chunk without automatizing (a new chunk still requires a WM pointer) and automatize without explicit chunking (a long chain with gradual habit growth).

Yewbrey & Kornysheva (2024, J Neurosci): The hippocampus pre-orders sequences (element order) — hippocampal activity during planning predicts the order of upcoming movements. Subcortical structures (striatum, thalamus, cerebellum) are activated during execution but do not encode sequence identity, suggesting complementary roles: hippocampus — “what and in what order,” striatum — executive control.

Solano et al. (2024, J Neurosci): Sleep within ~1h of sensorimotor training -> ~30% enhancement of motor consolidation. Mechanism: spindle-SO coupling (contralateral cortex) enhances motor trace consolidation. Difference from declarative consolidation: declarative -> SWR-driven (hippocampus->cortex); motor -> spindle-SO coupling. Critical window ~1h ($T_{crit}$). In the BMC context: an analogous spindle-SO mechanism presumably strengthens edges in automatic chains (Auto(S)).

De-automatization (override). vlPFC (ventrolateral prefrontal cortex) as a “valve” — inhibits DLS output and reactivates the DMS pathway (Lakshminarasimhan et al., 2024; Coutureau & Killcross, 2003, Behavioral Brain Research). Override cost is nonlinear: $Cost_{override} \propto habit^2$ — deeply automatized sequences require powerful prefrontal intervention. Under stress (WM overload) prefrontal resources are depleted -> DLS “takes over” -> relapse.

H. floresiensis: neuroanatomical constraints. Brain ~420 cc -> proportional reduction of PFC and striatum. Falk et al. (2005, Science): endocast LB1 shows extensive reorganization (expanded temporal lobe, developed Brodmann area 10), but reduced absolute volume. In BMC terms: sufficient for basic G x M integration (genetic programs + simple memes), but insufficient for complex automatization — limited DLS loop capacity + limited WM pointer system -> cognitive ceiling. Oldowan tool level = maximum achievable with this substrate.

Network formalization: $Auto(S)$, $habit$, $wm\_cost$, $P_{auto}$, $Cost_{override}$, predictions P-A1–P-A5 — see NM: Automatization.

Character (Temperament): Individual Weights of Emotional Systems

The Problem: Why Does One Event Elicit Different Reactions?

Two people visit the same castle. One remembers it as “a creepy place,” the other as “interesting to explore.” Given identical input experiences, different memes are formed.

Hypothesis: The difference is caused by individual weights of emotional systems — character (temperament).

Temperament Vector T

Based on Panksepp’s 7 emotional systems (Panksepp, 1998):

$$T = (T_{SEEK}, T_{FEAR}, T_{RAGE}, T_{LUST}, T_{CARE}, T_{GRIEF}, T_{PLAY})$$
ComponentPanksepp SystemValenceFunctionRangeMean
$T_{SEEK}$SEEKING+Curiosity, exploration0.5–2.01.0
$T_{FEAR}$FEAR-Threat avoidance0.5–2.01.0
$T_{RAGE}$RAGE-Boundary defense0.5–2.01.0
$T_{LUST}$LUST+Reproduction0.5–2.01.0
$T_{CARE}$CARE+Offspring care0.5–2.01.0
$T_{GRIEF}$GRIEF/PANIC-Loss signal, attachment0.5–2.01.0
$T_{PLAY}$PLAY+Social learning0.5–2.01.0

Interpretation: $T_i > 1$ means heightened system reactivity, $T_i < 1$ means reduced reactivity.

Evolutionary Roots of Character: T in All Mammals

Key fact: Panksepp’s 7 emotional systems are homologously conserved across all mammals — from rats to primates. Character is not a uniquely human phenomenon but a fundamental property of the mammalian brain.

SpeciesResearchExample TraitsHeritability
Cats“Feline Five” (2017, n=2802)Neuroticism, Extraversion, DominanceNot measured
DogsPavlov (1900s), modern geneticsExcitable, Lively, Quiet, Inhibitedh2 = 0.4–0.6
MacaquesYale (1938+)Bold, Meek, Aggressive, Passiveh2 = 0.14–0.35
HorsesBreed studiesTrainability, Reactivityh2 = 0.15–0.40
ChimpanzeesCrawford (1938)First empirical studyh2 = 0.07–0.63

Neurotransmitter Profiles of Panksepp Systems

Each of the 7 systems relies on a characteristic set of neurotransmitters:

SystemNeurotransmitters (+)Function
SEEKINGDopamine, glutamateCuriosity, anticipation, “wanting”
FEARGlutamate, CRF, CCKFlight/freezing under threat
RAGESubstance P, acetylcholineAggression when freedom is restricted
LUSTGonadal steroids, vasopressin/oxytocinReproductive behavior
CAREOxytocin, prolactinCaring, attachment, empathy
PANIC/GRIEFCRF, glutamate (oxytocin and opioids inhibit)Separation distress, grief
PLAYOpioids, endocannabinoidsSocial play, skill development

Global modulators (act on all systems simultaneously): glutamate (+), GABA (-), norepinephrine (+), serotonin (-). These modulators set the overall tone: high norepinephrine increases excitability of all systems (stress mobilization), while serotonin reduces it (stabilization, satiation).

Source: Panksepp (2011). “The basic emotional circuits of mammalian brains: Do animals have affective lives?” Neuroscience & Biobehavioral Reviews, 35(9), 1791-1804.

Why this matters for the theory:

  1. Character = utility node weights. T variability is observed in all mammals because utility nodes (emotional systems) are the same neural circuits
  2. Evolutionary advantage of variability. “Fluctuation selection” — not always the same trait is optimal. A reservoir of different T values in the population
  3. Humans differ NOT in having character but in memeplex complexity. A cat has T but no memeplex to subordinate these weights

G-Programs and WM: The Dual Competition Model

dlPFC serves both working memory and emotion regulation simultaneously — one resource pool (Pessoa, 2009, TiCS). When a G-program is activated, part of PFC resources is redirected to processing the affective signal, reducing the number of available WM pointers. Empirically: CDA K-score ~ 2 under negative affect vs. ~ 3.5 under neutral conditions — loss of ~50% WM capacity (Figueira et al., 2017, SCAN; Stout et al., 2017, Scientific Reports).

Neurotransmitter mechanism by G-program:

G-programWM-Interference Mechanism$w^{capture}$
FEARAmygdala->dlPFC inhibition: NE burst + CRF -> direct suppression of WM maintenance1.0
RAGESubstance P -> PFC disorganization; vmPFC recruited for attack planning; crude attack planning preserved0.8
GRIEFCRF -> sustained PFC load: rumination as “looped” WM operation, occupying pointers0.7
LUSTGonadal steroids -> partial attention capture; PFC partially free0.3
CAREOxytocin -> minimal PFC load; CARE compatible with cognitive activity (caregiving requires planning)0.2
PLAYEndorphins + endocannabinoids -> reduced FEAR/RAGE tone -> WM released0
SEEKINGDopamine recruits WM (directs), but does not compete for pointers — SEEKING uses WM0

Mechanism: amygdala activation -> NE burst -> dlPFC interference + simultaneous vmPFC recruitment for emotion regulation -> fewer resources for WM maintenance. PLAY is the exception: endorphins and endocannabinoids reduce the tone of negative systems (FEAR, RAGE), freeing PFC resources -> WM during PLAY >= WM during neutral state. This is the neurobiological basis for the effectiveness of learning through play.

Formalization: $k_{eff}(t) = k_{active}(t_{dev}) - n_{captured}^G(t) - n_{captured}^{signal}(t)$, capture-weights, PTSD-loop — see NM: G->WM competition.

Signal Memes as a Second Source of WM Capture

The table above describes WM capture by G-programs (affective channel). But WM slots are competitive: they are captured not only by the G-layer but also by the M-layer — specifically, by signal memes. Mechanism:

  • Grounding: associating a signal with a referent through Hebbian co-activation requires simultaneous activation of both memes -> occupies a WM slot
  • Routing: routing the signal (to whom, when, through which channel) requires executive WM resources
  • Fidelity maintenance: maintaining signal accuracy (kappa-consolidation of signal memes) competes with maintenance of navigation/survival memes

At $k_{eff} \approx 3\text{--}4$ active slots, even one signal meme = 25–33% loss of survival-relevant capacity. Ten survival experiments (predator avoidance, cooperative foraging, farming, goal-directed navigation, $N$=8–150) confirm: language parasitizes WM — $\Delta_{alive} \approx 0$ or negative.

Generalized formula:

$$k_{eff}(t) = k_{active}(t_{dev}) - n_{captured}^G(t) - n_{captured}^{signal}(t), \quad k_{eff} \geq 1$$

where $n_{captured}^{signal}$ = number of WM slots occupied by signal memes (grounding, routing, fidelity). This is the second WM competition channel: G -> WM (affective, subcortical) and M -> WM (signal, cortical).

Consequence: language can arise only under resource surplus — the environment must be sufficiently rich for the organism to survive with reduced $k_{eff}$. This is the basis of the Language Emergence Threshold — see EMT, Part XXVIII.

Evolutionary status of language. Language is optimized for M-fitness (transmission fidelity, compressibility), not G-fitness (survival). This is the only known case where M permanently suppresses G not as an anomaly (kamikaze, anorexia) but as a species norm. Prediction P-BM28.

Computationally verified. Ten survival experiments in the BMC engine ($N$=8–150) confirmed $\Delta_{alive} \approx 0$ or negative. Lewis signaling game: 85–97.5% accuracy across 25–533 concepts without gradient-based optimization. Separating test: BMC TopSim 0.72 vs REINFORCE 0.60 ($p = 0.011$). See DOI: 10.5281/zenodo.19181798.

flowchart TD subgraph EVOLUTION["Evolution of Vector T"] subgraph MAMMALS["All Mammals"] M1["T = (SEEK, FEAR, RAGE, LUST, CARE, GRIEF, PLAY)"] M2["Subcortical structures"] M3["Homologously conserved"] end subgraph ANIMALS["Animals (without memeplex)"] A1["T -> Behavior directly"] A2["Cats: Feline Five"] A3["Dogs: breed differences"] end subgraph HUMAN["Humans"] H1["T -> Interface I -> Memeplex M"] H2["M can modulate T"] H3["But not shut it off"] end end MAMMALS --> ANIMALS MAMMALS --> HUMAN style MAMMALS fill:#3498db style HUMAN fill:#2ecc71

Formalization:

$$T_{mammal} = (T_{SEEK}, T_{FEAR}, T_{RAGE}, T_{LUST}, T_{CARE}, T_{GRIEF}, T_{PLAY})$$

The T vector is structurally identical for all mammals. Differences:

  • Value ranges may vary between species
  • In humans, T is modulated by the memeplex (via interface I)
  • In animals, T directly determines behavior

Sources: Selected Principles of Pankseppian Affective Neuroscience (PMC6344464); The ‘Feline Five’ (PLOS ONE, 2017); Animal personality (Wikipedia).

flowchart TD subgraph T["Character Vector T (individual)"] T1["T_SEEK = 1.2"] T2["T_FEAR = 0.8"] T3["T_RAGE = 0.6"] T4["T_CARE = 1.3"] end subgraph U["Utility nodes (base activation)"] U1["SEEKING: 0.15"] U2["FEAR: 0.10"] U3["RAGE: 0.05"] U4["CARE: 0.20"] end subgraph A["Modulated activation"] A1["0.18"] A2["0.08"] A3["0.03"] A4["0.26"] end T1 -->|"x"| U1 --> A1 T2 -->|"x"| U2 --> A2 T3 -->|"x"| U3 --> A3 T4 -->|"x"| U4 --> A4 style T1 fill:#ccffcc style T4 fill:#ccffcc style T2 fill:#ffcccc style T3 fill:#ffcccc

Modified Utility Node Activation Formula

Current formula (see above):

$$a_g(t) = a_g^{base} + \sum_i w_{gi} \cdot stimulus_i(t)$$

With character factored in:

$$a_g(t) = T_g \cdot \left( a_g^{base} + \sum_i w_{gi} \cdot stimulus_i(t) \right)$$

where $T_g$ is the character vector component for utility node $g$.

Influence of Character on Connection Formation

Modified new connection weight formula:

$$w_{new}(m, e_g) = w_{base} \cdot (1 + \gamma \cdot T_g \cdot a_g) \cdot N_{replay}$$

where:

  • $e_g$ — emotional node (utility node)
  • $T_g$ — character weight for the given emotion
  • $a_g$ — emotion activation during the experience (0–1)

Consequence: With high $T_{FEAR}$, connections to the “Fear” node form more strongly.

Numerical Example: Two People Visit a Castle

ParameterPerson APerson B
$T_{FEAR}$1.5 (anxious)0.6 (calm)
$T_{SEEK}$0.7 (cautious)1.4 (curious)
Stimulus: dark corridors0.50.5
$a_{FEAR}$$1.5 \cdot (0.1 + 0.5) = 0.90$$0.6 \cdot (0.1 + 0.5) = 0.36$
$a_{SEEK}$$0.7 \cdot (0.15 + 0.4) = 0.39$$1.4 \cdot (0.15 + 0.4) = 0.77$
$w_{new}$(castle->fear)$0.3 \cdot (1 + 1.5 \cdot 0.90) \cdot 10 = 7.05$$0.3 \cdot (1 + 1.5 \cdot 0.36) \cdot 10 = 4.62$
$w_{new}$(castle->curiosity)$0.3 \cdot (1 + 1.5 \cdot 0.39) \cdot 10 = 4.76$$0.3 \cdot (1 + 1.5 \cdot 0.77) \cdot 10 = 6.47$
flowchart LR subgraph STIMULUS["Experience: Castle Visit"] S1[Dark corridors] S2[Ancient artifacts] end subgraph PERSON_A["Person A: T_FEAR=1.5, T_SEEK=0.7"] A1((FEAR
w=7.05)) A2((SEEK
w=4.76)) A3["Meme: 'Castles are creepy'"] end subgraph PERSON_B["Person B: T_FEAR=0.6, T_SEEK=1.4"] B1((FEAR
w=4.62)) B2((SEEK
w=6.47)) B3["Meme: 'Castles are interesting'"] end S1 & S2 --> A1 & A2 S1 & S2 --> B1 & B2 A1 -->|dominates| A3 B2 -->|dominates| B3 style A1 fill:#ffcccc style B2 fill:#ccffcc

Result after one year:

  • Person A: “Castles are creepy places” (fear connection dominates)
  • Person B: “Castles are interesting places to explore” (curiosity connection dominates)

Character Inheritance

Empirical base: Twin studies show Big Five heritability of 40–60% (Jang et al., 1996).

Big Five TraitHeritability
Neuroticism41%
Extraversion53%
Openness61%
Agreeableness41%
Conscientiousness44%

Transmission formula:

$$T_{child}[i] = \alpha_i \cdot T_{parent1}[i] + (1 - \alpha_i) \cdot T_{parent2}[i] + \epsilon_i$$

where:

  • $\alpha_i \in [0, 1]$ — mixing coefficient for component $i$
  • $\epsilon_i \sim \mathcal{N}(0, \sigma^2)$ — mutational noise

Inheritance modes:

ModeMechanismExample
Full copy$T_{child} = T_{parent_k}$“Exact copy of character”
Averaging$\alpha = 0.5$ for all $i$Blend of both parents’ traits
Mosaic$\alpha_i$ random for each $i$Bits of character from different parents
Dominant$\alpha$ close to 0 or 1One parent’s predominance
flowchart TD subgraph P["Parents"] P1["Father: T = (1.3, 0.7, 0.5, 1.2)"] P2["Mother: T = (0.8, 1.2, 0.6, 0.9)"] end subgraph C["Children"] C1["Child 1: Mosaic
(1.3, 1.2, 0.5, 0.9)"] C2["Child 2: Averaging
(1.05, 0.95, 0.55, 1.05)"] C3["Child 3: Father bits
(1.3, 0.9, 0.5, 1.1)"] C4["Child 4: Father copy
(1.3, 0.7, 0.5, 1.2)"] end P1 & P2 --> C1 P1 & P2 --> C2 P1 & P2 --> C3 P1 --> C4 style C4 fill:#ccffcc

Example: 4 children — each has bits of parental character, the last one is a “carbon copy” (“Full copy” mode).

Model Predictions

PredictionTestStatus
Monozygotic twins have similar TTwin studiesConfirmed (r ~ 0.5)
T is stable over the lifespanLongitudinal studiesConfirmed (Costa & McCrae)
Children inherit T components from parentsFamily studiesConfirmed (40–60%)
High $T_{FEAR}$ -> anxious memeplexesPsychopathologyConfirmed

Network formalization: Spreading activation modulation by the T vector — see NM: Network modulation by character.

Sources: PMC: Selected Principles of Pankseppian Affective Neuroscience; PubMed: Jang et al. (1996).

Extension: Binding to Panksepp Systems

Three-Level Meme Binding

Following Panksepp & Biven (2012), emotional systems are organized into three levels. Memes bind to each level differently:

LevelBrain BasisWhen Binding FormsMeme TypeExample
Primary (unconditional)Subcortical: PAG, hypothalamus, amygdalaAt birth (genetically fixed)Basic emotional reactionsFear of loud sounds, pleasure from warmth
Secondary (conditioned)Basal ganglia, upper limbicEarly childhood (sponge phase)Conditioned triggers — first synthesized memes“Mom = safety,” “darkness = fear”
Tertiary (cognitive)NeocortexMaturityCognitive reinterpretation (Interpretation in I-layer)“Fear is a sign of growth,” “anger is unconstructive”

Consequence: Tertiary-level memes can modulate the expression of primary programs but cannot cancel them. Dementia is regression from tertiary to primary.

flowchart TB subgraph L3["Tertiary level (neocortex)"] direction LR T1["'Fear is a sign of growth'"] T2["'Anger is unconstructive'"] T3["Cognitive reinterpretation"] end subgraph L2["Secondary level (basal ganglia, upper limbic)"] direction LR S1["'Mom = safety'"] S2["'Darkness = fear'"] S3["Conditioned triggers"] end subgraph L1["Primary level (PAG, hypothalamus, amygdala)"] direction LR P1["Fear of loud sounds"] P2["Pleasure from warmth"] P3["Basic emotional reactions"] end L3 -- "modulates but does not cancel" --> L2 L2 -- "built on top of" --> L1 style L1 fill:#e74c3c style L2 fill:#f39c12 style L3 fill:#3498db

Affective Space: M-Layer Construction Over Discrete G

Central thesis: The G-level is discrete (Panksepp is right), the M-level is continuous (Barrett is right). Both are right at different levels of BMC.

G: discrete circuits. Panksepp’s seven systems are separate neural circuits with distinct nuclei (PAG, hypothalamus, VTA, BLA), different neurotransmitters (see table above), and different output patterns. The primary level: discrete, evolutionarily conserved, identical across all mammals.

M: continuous construction. The tertiary level is neocortical interpretation. Simultaneous activation of multiple G-programs produces a blend — a continuous point in affective space:

$$E(t) = \sum_g T_g \cdot a_g(t) \cdot \mathbf{v}_g \;\in\; \mathbb{R}^2$$

where $\mathbf{v}_g$ is a fixed vector in (valence, arousal) coordinates per G-program (Russell, 1980, J Pers Soc Psychol):

G-ProgramValenceArousalDescription
SEEKING+0.6+0.7Anticipation, curiosity
FEAR-0.8+0.9Threat, flight/freeze
RAGE-0.7+0.8Frustration, attack
LUST+0.5+0.6Desire, attraction
CARE+0.8+0.2Tenderness, protection
GRIEF-0.9-0.3Loss, separation distress
PLAY+0.9+0.5Joy, social engagement

$E(t)$ is emergent from discrete G-activations, modulated by $T$. “Nostalgia” = $E$ near GRIEF + SEEKING + CARE; “Schadenfreude” = PLAY + RAGE blend. M-memes cluster certain zones of E-space, giving them names and cultural interpretations.

Cultural variability. Amae (Japanese) = CARE + GRIEF + acceptable dependency blend. Saudade (Portuguese) = GRIEF + SEEKING + absent object. Schadenfreude (German) = PLAY + RAGE + another’s failure. Identical G-activations -> different M-clusters -> different “emotions.” This explains Barrett (2017, How Emotions Are Made): constructivism is correct for M, not for G. Cultures with different M-memes carve up the continuous E-space differently (Wierzbicka, 1999, Emotions Across Languages and Cultures).

Dementia as a test. When $M \to 0$ (neocortical neurodegeneration), blends disappear, exposing discrete primary G-patterns: pure FEAR, pure RAGE, uncontrolled GRIEF. If Barrett were entirely right (emotions are only constructions), there would be no discrete emotions in dementia — but they exist, and they correspond precisely to subcortical G-systems. This is a strong argument for the two-level model.

BMC position: Barrett is right for the M-level (continuous, culturally constructed); Panksepp for the G-level (discrete, biologically fixed). BMC reconciles these positions through a three-level architecture: primary G -> secondary conditioned -> tertiary M-construction.

Formalization: Blend formula $E(t)$, $\mathbf{v}_g$ coordinates — see NM: Affective Space.

SEEKING as Metasystem

SEEKING is not merely one of the seven systems. It is recruited by all others and functions as a metasystem — the “currency of attention” (dopamine).

$$a_{SEEK}(t) = T_{SEEK} \cdot a_{SEEK}^{base}(t) + \sum_{s \neq SEEK} \alpha_s \cdot a_s(t)$$

where:

  • $T_{SEEK}$ — individual weight from the character vector
  • $a_{SEEK}^{base}$ — SEEKING base activation
  • $\alpha_s$ — recruitment coefficient from system $s$
  • $a_s(t)$ — activation of system $s$ at time $t$

Interpretation: When FEAR is activated (threat), it recruits SEEKING to search for an exit. When CARE is activated (need to care), it recruits SEEKING to find an object of care. Dopamine is not “reward” but “directed curiosity.”

flowchart LR FEAR["FEAR
alpha_fear"] --> SEEKING RAGE["RAGE
alpha_rage"] --> SEEKING GRIEF["PANIC/GRIEF
alpha_grief"] --> SEEKING LUST["LUST
alpha_lust"] --> SEEKING CARE["CARE
alpha_care"] --> SEEKING PLAY["PLAY
alpha_play"] --> SEEKING SEEKING["SEEKING
Dopamine
'currency of attention'"] SEEKING --> OUT["Directed
behavior"] style SEEKING fill:#f1c40f,stroke:#f39c12,stroke-width:3px style FEAR fill:#e74c3c style RAGE fill:#e74c3c style GRIEF fill:#e74c3c style LUST fill:#2ecc71 style CARE fill:#2ecc71 style PLAY fill:#2ecc71

Structural Incompleteness as SEEKING’s Second Input (SIT)

Problem: The current SEEKING formula describes recruitment from other emotional systems:

$$a_{SEEK}(t) = T_{SEEK} \cdot a_{SEEK}^{base}(t) + \sum_{s \neq SEEK} \alpha_s \cdot a_s(t)$$

This explains why SEEKING is activated by fear (search for escape), care (search for object), curiosity (search for novelty). But the formula does not explain persistent SEEKING activation during unresolved tasks — without external stimuli, without recruitment from other emotions. Under the current model, an unresolved task should decay through edge decay. But this does not happen.

Structural Incompleteness Tension (SIT) — the tension of structural incompleteness — is SEEKING’s second input, alongside recruitment from emotional systems. Structural gaps in the memeplex generate SEEKING activation endogenously, proportional to the cluster’s importance and the degree to which the gap is unfilled.

Extended SEEKING formula:

$$a_{SEEK}(t) = T_{SEEK} \cdot \Big[a_{SEEK}^{base}(t) + \gamma_{SIT} \cdot \sum_C SIT(C) \cdot LP(C, t)\Big] + \sum_{s \neq SEEK} \alpha_s \cdot a_s(t)$$

where:

  • $SIT(C) = \sum_{g \in gaps(C)} relevance(g) \cdot centrality(C) \cdot (1 - closure(g))$ — structural incompleteness tension of cluster $C$ (see NM: SIT)
  • $LP(C, t) = \frac{d}{dt} closure(C, t)$ — Learning Progress: the rate of approaching closure
  • $\gamma_{SIT}$ — individual SIT sensitivity coefficient

Key point: The SIT term is inside the bracket $T_{SEEK}$. This means SIT modulates base curiosity, not emotional recruitment. A person with high $T_{SEEK}$ (researcher, scientist) reacts more strongly to structural gaps. A person with low $T_{SEEK}$ may have the same gaps but feel no discomfort.

LP-filter as a temporal modulator:

LP StateSubjective ExperienceSIT Contribution to SEEKING
$LP > 0$ (progress)“I’m about to find the answer!”High — SEEKING intensifies
$LP \approx 0$ (stagnation)“Dead end, don’t know how to approach it”Fades — the problem “lets go”
$LP$ suddenly $\gg 0$ (breakthrough)“Aha! A new approach!”Spike — return to old problem
$closure \to 1$“Got it!”$\to 0$ — SIT resolves

False closure and evolutionary logic: SIT generates persistent cognitive tension that consumes resources. Evolution developed a false closure strategy: fill the gap with any available node, even one with zero empirical validity. “Why is there thunder?” -> “Zeus is angry” — SIT decreases, cognitive load drops, resources are freed for survival. This is cheaper than maintaining an open question for years. Hence — religion, superstitions, magical thinking, conspiracy theories (details — NM: False closure).

flowchart LR subgraph "Three SEEKING Inputs" BASE["Base activation
a_SEEK^base"] SIT_IN["SIT
Structural gaps
Sum SIT(C)*LP(C,t)"] RECRUIT["Recruitment
FEAR, RAGE, CARE...
Sum alpha_s * a_s"] end BASE --> |"x T_SEEK"| SEEKING SIT_IN --> |"x gamma_SIT x T_SEEK"| SEEKING RECRUIT --> |"direct contribution"| SEEKING SEEKING["SEEKING
Dopamine
'Currency of attention'"] SEEKING --> BEHAVIOR["Directed
behavior"] SEEKING --> RETURN["Spontaneous
return to task"] style SEEKING fill:#f1c40f,stroke:#f39c12,stroke-width:3px style SIT_IN fill:#e67e22,stroke:#d35400,stroke-width:2px style BASE fill:#3498db style RECRUIT fill:#2ecc71

Consequences of the extended formula:

  1. Spontaneous return to tasks: An unresolved task with $SIT > 0$ periodically “surfaces” — especially when SEEKING load from other sources is low (rest, falling asleep, walking)
  2. Differential curiosity: Two people with identical memeplexes but different $T_{SEEK}$ will react differently to gaps
  3. Scientific obsession: Very high $T_{SEEK}$ + significant gap -> $SIT_{eff}$ can dominate other motivations
  4. DMN activation: Without external tasks, SEEKING switches to SIT-driven scanning — neurobiologically this is the Default Mode Network (see above, Part III: DMN)

DISGUST as an I-Layer Mechanism

DISGUST is not one of Panksepp’s 7 systems (he classified it as a sensory affect). However, in biomemetic theory DISGUST plays a key role as an interface mechanism (I-layer): a genetic program recruited by the memetic layer for marking “foreign” memes.

Evolution of DISGUST:

StageObjectMechanismNeural Substrate
Pathogen disgustRotten food, fecesInnateInsular cortex (insula)
Sexual disgustIncest, unacceptable partnersGenetically preparedSame insula
Moral disgust“Foreign” ideas, taboosMemetically recruitedSame insula (Haidt, 2001)

Key observation: The physiological substrate is identical for all levels — the insular cortex is activated identically during physical and moral disgust (Rozin et al., 2008). This means the memeplex co-opts a ready-made genetic mechanism for marking hostile memes.

DISGUST = the main neuromechanism for assigning negative weight. When the memeplex “rejects” an idea, it literally activates the same neural circuit as disgust at rotten food.

Sources: Panksepp & Biven (2012). The Archaeology of Mind; Haidt (2001). “The Emotional Dog and Its Rational Tail”; Rozin, Haidt & McCauley (2008). “Disgust” (in Handbook of Emotions).

Neurobiological Levels of Immune Filtration

DISGUST is not the only immune filtration mechanism. Hierarchical filtration at different processing levels is described in attention research (Broadbent, 1958; early vs late selection) and predictive processing (Friston, 2005). BMC interprets these levels as per-level immune subsystems $I^{(k)}$, each with its own neural substrate:

LevelNeural SubstrateFiltration TypeWhat It RejectsSpeed
Sensory (L0)Thalamic gate, primary sensory areasAttentional filter (norepinephrine -> threshold up)Noise, irrelevant stimuli~50 ms
Perceptual (L1)Secondary sensory areas, fusiform, STSPattern recognition (mismatch detection)Impossible combinations, perceptual artifacts~100–200 ms
Semantic (L2)PFC (ventromedial), ACC, insulaCognitive assessment + DISGUST responseSemantic contradictions, “foreign” memes~200–500 ms
Abstract (L3)dmPFC, PCC (DMN), dlPFCMetacognitive check vs G-coreMemes violating core values, self-inconsistency~500+ ms

Key observation: Filtration speed increases from bottom to top — lower levels react in tens of milliseconds (attentional gate), upper levels in hundreds (reflective assessment). This creates cascading filtration: a stimulus that passes the L0 filter may be rejected at L2, but with a delay. Empirically: the amygdala reacts to threat in ~100 ms (L1), PFC suppresses false alarm in ~200 ms (L2) — the I-layer begins working (see Part VII: conflict cascade).

Consequence for development: Upper-level immune filters mature later than lower ones. The age periods below correspond to known stages of cognitive development (Piaget) and data on PFC maturation (Gogtay et al., 2004); the mapping onto BMC I-levels is an interpretation of these data, not an independent prediction:

AgeMaturing FilterWhat Is Open to EntryConsequence
0–2$I^{(0)}$ (sensory) formingEverything above L0Massive meme entry (sponge phase)
2–6$I^{(1)}$ (perceptual) strengtheningL2–L3 openHub formation without critical filtration
6–12$I^{(2)}$ (semantic) formingL3 still weakBeginning of critical thinking, but abstract vulnerability
12–25$I^{(3)}$ (abstract) maturing (PFC myelination)Everything filteredAdolescent vulnerability to ideological capture = immature $I^{(3)}$

This explains why radicalization is most effective with adolescents (immature $I^{(3)}$) and least effective with the elderly (rigid $I^{(3)}$, but at the cost of plasticity).

Pathologies as I-level disruptions:

PathologyDisrupted LevelMechanism
ADHD$I^{(1)}$–$I^{(2)}$ unstableIrregular LC -> chaotic filtration
Autism$I^{(2)}$ hyper-strictRejects unstructured (social) memes
Schizophrenia$I^{(1)}$–$I^{(2)}$ weakenedPasses incompatible memes -> SMC fragmentation
Antisocial disorder$I^{(3)}$ not formedNo value-based meme filtering

Formalization: $I^{(k)}$ as immune subsystem of level $k$, G-invariants — see NM, Part IX. Engineering specification: AGI Foundations, Part IV.


Part V. Interaction Mechanisms: Redirection, Suppression, Interpretation

The Problem: How Do Memes Influence Genetic Programs?

A meme cannot “switch off” a genetic program — it is hardcoded. But a meme can modify its expression through three mechanisms.

Three Interface Mechanisms

flowchart TD subgraph REDIRECT["1. Redirection"] R1[Genetic program] --> R2[Meme links to new goal] R2 --> R3["Behavior directed at memes goal"] R4["Example: status -> spiritual perfection"] end subgraph SUPPRESS["2. Suppression"] S1[Genetic program active] --> S2[Meme creates inhibitory activation] S2 --> S3[Program temporarily blocked] S4["Example: celibacy suppresses sexuality"] end subgraph INTERPRET["3. Interpretation"] I1[Program signal] --> I2[Meme changes signal meaning] I2 --> I3[Response matches interpretation] I4["Example: fear = sign of God's will"] end

1. Redirection

Mechanism: The meme does not cancel the drive but links it to an alternative goal.

$$output_{redirected} = f_{meme}(input_{gene})$$
Genetic ProgramNatural GoalRedirected GoalMediating Meme
StatusDominance, resourcesSpiritual perfectionReligious asceticism
AggressionPhysical violenceAthletic competitionSports culture
AttachmentBiological familyReligious community“Brothers and sisters in Christ”
SexualityReproductionCreativitySublimation (Freud)

Redirection cost:

$$Cost_{redir} = \delta \cdot |goal_{gene} - goal_{meme}| \cdot a_g(t)$$

The farther the meme’s goal from the genetic one, the higher the cost.

2. Suppression

Mechanism: The meme creates competing activation that inhibits the genetic program’s expression.

$$a_{effective}(t) = \max(0, a_g(t) - \gamma \cdot a_{meme\_inhibit}(t))$$

Suppression cost formula:

$$Cost_{supp} = \beta \cdot a_g(t) \cdot duration \cdot (1 - habit(m))$$

where:

  • $\beta$ — base cost coefficient
  • $a_g(t)$ — strength of the suppressed program
  • $duration$ — suppression duration
  • $habit(m)$ — degree of automatization (0 to 1); formal definition, dynamics, and $Auto(S)$ — see Automatization: neurobiological substrate

Important: Suppression is depletable. Resources for suppression are limited.

3. Interpretation

Mechanism: The meme changes the meaning of the genetic program’s signal without changing the signal itself.

$$meaning_{perceived} = transform_{meme}(signal_{gene})$$
Genetic SignalInterpretation Without MemeInterpretation With Meme
Fear“Danger, flee”“Sign of God’s will” (religion)
Sexual attraction“I desire this person”“This is a sin” (asceticism)
Hunger“Need to eat”“Fasting strengthens the spirit” (religion)
Pain“Stop the action”“Pain = growth” (sports)

Mechanism Comparison Table

ParameterRedirectionSuppressionInterpretation
CostMediumHighLow
StabilityHighLowMedium
Failure modeReturn to original goal“Breakdown”Cognitive dissonance
Formation timeYearsMonthsFast
Stress resistanceHighLowMedium

Diagram: Three Mechanisms in Action

flowchart TD subgraph GENE["Genetic program: SEX"] G1[Activation: 0.7] end subgraph MECH1["Redirection"] M1["Meme: Creativity is the highest pleasure"] G1 -->|0.7| M1 M1 --> O1[Output: Creative activity] end subgraph MECH2["Suppression"] M2["Meme: Celibacy is the path to enlightenment"] G1 -->|0.7| M2 M2 -->|inhibition -0.5| O2[Output: Abstinence] O2 -.->|Cost: 0.35/hr| DEPL[Depletion] end subgraph MECH3["Interpretation"] M3["Meme: Desire is the devils temptation"] G1 -->|0.7| M3 M3 --> O3[Output: Prayer, repentance] end

Suppression Energy Budget

Total energy budget:

$$E_{available}(t) = E_{max} - \sum_i Cost_{supp,i}(t) - \sum_j Cost_{active,j}(t)$$

where:

  • $E_{max}$ — maximum energy resource (restored by sleep)
  • $Cost_{supp,i}$ — cost of suppressing the $i$-th program
  • $Cost_{active,j}$ — cost of active processes

Failure modes:

ConditionResult
$E_{available} < \theta_{min}$Suppression drops, impulsive behavior
$E_{available} < 0$“Breakdown,” complete loss of control
Prolonged deficitChronic stress, burnout

Numerical Example: Diet and Hunger

Situation: A person on a diet sees a cake.

Parameters:

  • $a_{hunger} = 0.6$
  • $a_{diet\_meme} = 0.4$
  • $habit_{diet} = 0.3$ (recently started)
  • $E_{available} = 0.5$

Suppression cost calculation:

$$Cost_{supp} = 0.1 \cdot 0.6 \cdot 1 \cdot (1 - 0.3) = 0.042 \text{ per minute}$$

After 10 minutes:

$$E_{available}(10) = 0.5 - 0.042 \cdot 10 = 0.08$$

At $\theta_{min} = 0.1$, suppression begins to weaken.

Conclusion: Without external help (leaving the kitchen) or meme reinforcement (remembering the diet goal), the person will probably eat the cake.

See also: Gene-meme interaction mechanisms — AGI Foundations, Part II.

Expression: Neurobiology of Replication Pressure

The three mechanisms above (redirection, suppression, interpretation) describe how memes influence G-programs. But there is a symmetric question: how do memes use the neuronal substrate for their own replication? Redirection, suppression, and interpretation are the M->G interface. Replication pressure is M->output: the mechanism by which activated memes are “pushed out” through the communication channel.

Formalization: $R_{expr}(m_i, t)$ — see NM, Part X.

The Speech Apparatus as a Replication Substrate

Genes replicate via DNA polymerase — an enzymatic complex refined over billions of years of evolution. Memes replicate via the speech apparatus — a neuromotor complex in which key roles are played by:

  • Broca’s area (BA 44/45, posterior IFG): articulation planning, syntactic structuring — “assembling” the meme into a linear word sequence
  • Wernicke’s area (BA 22, posterior superior temporal gyrus): decoding incoming speech — “unpacking” the meme on the recipient’s side
  • Arcuate fasciculus: Broca <-> Wernicke link — a closed “understood -> can say” circuit, necessary for self-monitoring of speech (the meme is checked before output)
  • Motor cortex (BA 4) + basal ganglia: articulation execution — the physical “printing” of the meme
flowchart LR subgraph "Internal circuit (before output)" A[Activated meme\na_i > theta] --> B[Inner speech\nBroca: premotor planning] B --> C[Self-monitoring\narcuate fasciculus -> Wernicke] C -->|"I-filter: suppress?"| D{Passes?} end D -->|Yes| E[Motor cortex\nArticulation] D -->|No| F[Suppression\nMeme not spoken] E --> G[Speech output\n~150 bps] G --> H[Recipient\nWernicke -> Broca -> adoption?] style A fill:#3498db style E fill:#27ae60 style F fill:#e74c3c style H fill:#f39c12

Inner Speech as Pre-Expression

Vygotsky (1934): thought passes through inner speech before becoming external. In BMC terms: an activated meme first passes through the internal circuit of Broca (premotor planning without articulation), and only with sufficient $R_{expr}$ transitions to motor execution. Inner speech is a trial run of replication: the meme is “assembled” into linear form, checked through the arcuate fasciculus, and upon passing the I-filter is released externally.

This explains the delay between meme activation and utterance: the internal circuit requires ~200–400 ms (Indefrey & Levelt, 2004) for lemmatic selection and phonological encoding.

Mirror Neurons and “Contagion” of Pressure

Mirror neurons, discovered in zone F5 of monkeys (Rizzolatti et al., 1996), are activated both during action execution and observation of others’ actions. Zone F5 is the homolog of human Broca’s area (BA 44); the hypothesis of language evolving from the mirror system: Rizzolatti & Arbib (1998). In the context of speech:

  • When listening to an interlocutor, the listener’s speech motor areas are activated phoneme-specifically: hearing words with lingual consonants enhances tongue motor potentials (Fadiga et al., 2002, TMS study)
  • This activation is not random: the incoming meme via Wernicke -> motor mirror system activates related memes of the listener
  • Related memes receive an activation boost -> their $R_{expr}$ grows -> the listener feels their own pressure to express

This is the neuronal basis of the “I had a similar experience!” phenomenon: the incoming meme via the mirror system activates the listener’s associated memes, which accumulate sufficient $R_{expr}$ for expression.

Neurochemistry of Social Reward

Successful communication (replication success) is reinforced via the mesolimbic pathway:

  • VTA -> NAcc: dopamine release during self-disclosure (Tamir & Mitchell, 2012, PNAS): talking about oneself activates the same NAcc regions as monetary reward; participants forfeited ~17% of potential earnings for the opportunity of self-disclosure
  • In BMC interpretation: NAcc reward for self-disclosure = dopaminergic reinforcement for successful meme replication. Not “people like talking about themselves” (phenomenology), but “the substrate reinforces meme replication just as it reinforces resource acquisition” (mechanism)
  • Oxytocin enhances social bonding -> lowers $\theta_{expr}$ (expression threshold) -> more memes pass the I-filter -> more “open” communication

Two Neurochemical Evidences for $R_{expr}$

1. Tip-of-the-tongue (TOT). The meme is activated (the subject knows what they want to say), but lemmatic selection fails (the word cannot be found). Subjectively felt as pressure — direct evidence of $R_{expr}$:

  • Meme activation is high (it is “knocking” on the channel)
  • The channel is blocked (phonological code not retrieved)
  • Result: an unpleasant feeling of incompleteness — analogous to SIT at the level of a single act of communication

2. Taboo effect (Wegner, 1987). “Don’t think of a white monkey” -> the meme is activated more strongly. The I-system suppresses the meme ($I_{sig}$ high), but the meme is already activated -> high $R_{expr}$. The conflict between I-suppression and expression pressure produces ironic monitoring: the stronger the suppression, the higher the pressure. This conflict is neuroanatomically localized: PFC (suppression) vs Broca (expression planning) vs ACC (conflict detection).

flowchart TD subgraph "Tip-of-the-tongue" T1[Meme activated\nR_expr high] --> T2[Lemmatic selection\nFAIL] T2 --> T3[Channel blocked\nPressure unreleased] T3 --> T4["Subjectively:\non the tip of my tongue"] end subgraph "Taboo effect" B1["I-suppression:\n'don't say this!'"] --> B2[Meme activated\nparadoxically] B2 --> B3[R_expr grows] B3 --> B4[PFC vs Broca\nconflict -> ACC] B4 --> B5["Subjectively:\ncant stop\nthinking about it"] end style T3 fill:#e74c3c style T4 fill:#f39c12 style B3 fill:#e74c3c style B5 fill:#f39c12

Sources: Rizzolatti et al. (1996) — mirror neurons in F5; Rizzolatti & Arbib (1998) — F5->Broca homology and language evolution; Fadiga et al. (2002) — phoneme-specific motor facilitation during speech listening (TMS); Tamir & Mitchell (2012, PNAS) — self-disclosure activates NAcc reward circuits; Indefrey & Levelt (2004) — temporal course of word production; Wegner et al. (1987) — paradoxical effects of thought suppression; Wegner (1994) — ironic process theory; Vygotsky (1934) — inner speech.


Part VI. Competition Dynamics: A Qualitative Model

The Problem: How to Understand Replicator Competition?

The description “genes and memes compete” is insufficient. A model is needed that allows:

  1. Understanding which layer dominates at any given moment
  2. Predicting transitions between regimes
  3. Explaining observed phenomena (breakdowns, willpower, impulsivity)

Key Idea: Competition for Limited Attention

Genetic programs ($G$) and the memetic layer ($M$) compete for a shared resource — attention. At any moment, attention is distributed unevenly between them.

What affects the balance:

FactorShifts Toward G (genes)Shifts Toward M (memes)
Physical stateHunger, fatigue, pain, sexual arousalSatiation, rest, absence of acute needs
StressAcute stress -> fight/flightSafety -> opportunity for reflection
TrainingMeditation, mindfulness practices
Meme strengthDeeply rooted beliefs linked to identity
External stimuliInstinct triggers (threat, food, potential partner)Value reminders, social context

Four System Regimes

flowchart TD subgraph MODES["BMC Regimes"] subgraph Q1["Meme Dominance"] S1[High M activation] S1 --> R1[Rational behavior, self-control] end subgraph Q2["Balance"] S2[M and G comparable] S2 --> R2[Adaptive behavior, flexibility] end subgraph Q3["Gene Dominance"] S3[High G activation] S3 --> R3[Impulsive behavior, instincts] end subgraph Q4["Conflict"] S4[M and G at war] S4 --> R4[Internal struggle, stress] end end Q1 <--> Q2 Q2 <--> Q3 Q2 <--> Q4 Q4 <--> Q1 Q4 <--> Q3
RegimeWhen It ArisesSubjective ExperienceExample
Meme dominanceCalm, safety, training“I am in control”Calmly following a plan
BalanceNormalSlight tension, but manageableOrdinary day with minor temptations
Gene dominanceAcute stress, strong hunger, threat“I’m being carried away,” “I can’t stop”Panic, diet breakdown, aggression
ConflictStrong meme vs strong driveAgonizing struggle, depletion“I want to, but I mustn’t”

Example: A Person on a Diet

Morning (regime: balance)

  • Full after breakfast, rested
  • “I’m losing weight” meme active
  • Hunger drive low
  • -> Easy to stick to the plan

Evening after work (regime: conflict -> gene dominance)

  • Tired, work stress
  • “I’m losing weight” meme weakened by fatigue
  • Hunger drive strengthened (6 hours without food + stress)
  • Sees the refrigerator (trigger)
  • -> Breakdown

What could have helped:

  • Not allowing strong hunger (remove G trigger)
  • Resting before making decisions (restore M)
  • Removing food from sight (remove external stimulus)
  • Reminding oneself of the goal (activate the meme)

Example: Street Aggression — G/M Tension as a Consciousness Trigger

The diet illustrates slow G/M competition (hours). Aggression illustrates instantaneous competition — and reveals a fundamental property: conscious thinking is triggered by tension between G and M.

Scenario: A person is walking down the street, approached by an aggressive stranger.

Time     What happens                       BMC Regime
-----    ---------------                    ----------
0 ms     Stimulus: threatening gesture      Entry via amygdala
50 ms    G-layer reacts: RAGE or FEAR       G dominance
         a_g^base -> fight/flight
         Cortisol, adrenaline up
         Balance drops sharply
200 ms   I-layer begins working:            Conflict
         Suppression (suppress impulse)
         Interpretation (assess threat)
500 ms   M-layer engages:                   M gaining weight
         "He's drunk, better leave"
         "There are cameras here, not worth it"
         "I have a family at home"
1-2 sec  Decision: leave / respond          Balance or
         (depends on competition outcome)   M dominance

Key observation: The M-layer was not thinking before the stimulus appeared. Memes about caution, cameras, family were in the memeplex but dormant. It was the G-layer that created tension that activated M.

Without the G-layer there is no trigger for M. Without the M-layer there is no brake for G. Conscious thinking is not an independent activity but a reaction of M to tension created by G.

Neurobiological substrate:

Time PhaseSubstrateFunction
0–100 msAmygdala -> hypothalamus -> PAGG-layer: instant threat assessment, preparation for action
100–300 msAmygdala -> PFC (ventromedial)I-layer: Suppression — PFC begins inhibiting amygdala
200–500 msdlPFC, ACCM-layer: working memory loads relevant memes
500+ msPFC -> motor cortexDecision: M-layer controls the action (or doesn’t, if G won)

What determines the outcome:

FactorOutcome: G winsOutcome: M wins
Stimulus strengthHigh (real life threat)Low (verbal provocation)
Host’s $T_{RAGE}$High (impulsive temperament)Low (calm temperament)
I-layer trainingNo practiceExperience with conflicts, meditation
Eigenvector of brake-memesLow (“family” meme is peripheral)High (“family” meme is a hub)
$E_{available}$Low (tired, stressed)High (rested, resources available)

Conclusion: consciousness is neither a passive observer nor a “boss” over the body. Consciousness (M-layer) is a competitor who is awakened when the G-layer creates tension. No tension — no need for conscious thinking. This explains why routine actions are performed “on autopilot”: with low G/M tension, the M-layer is not activated, and behavior is controlled by habits (entrenched memes with high inertia, not requiring WM involvement).

Regime Transitions

The system can abruptly switch between regimes when conditions change:

TransitionWhat HappensTrigger
Balance -> G DominanceLoss of controlStrong stress, exhaustion, powerful trigger
G Dominance -> Conflict“Came to” mid-actionExternal reminder, acute phase ending
Conflict -> M DominanceWillpower victoryTime, support, absence of triggers
M Dominance -> BalanceRelaxationGoal achieved, safety

Practical Consequences

  1. Willpower is a depletable resource: M/G conflict is depleting. After prolonged struggle, breakdown probability increases.

  2. Prevention beats fighting: Easier to prevent G dominance (avoid triggers) than to fight in conflict mode.

  3. Environment beats intentions: External stimuli strongly affect the balance. Changing the environment is more effective than “willpower.”

  4. Training works: Meditation and mindfulness practices strengthen M’s ability to suppress G.

Methodological note: This qualitative model describes observed phenomena without claiming quantitative precision. Mathematical formalization (e.g., via Lotka-Volterra-type equations) is possible but requires empirical parameter calibration that is currently absent. See Appendix D for a possible formalization direction.

SIT as the Fifth Competition Factor

To the four previously described G/M competition factors (physical state, stress, M training, meme strength), a fifth is added: Structural Incompleteness Tension (SIT).

SIT creates endogenous M-layer motivation independent of external stimuli and not derived from genetic drives. It is the only competition factor that works in favor of the M-layer autonomously:

Competition FactorDirection of InfluenceSourceTemporal Profile
Physical stateG up under exhaustionHomeostasisCyclic (daily)
StressG up under stressCortisol, HPA axisEpisodic
M trainingM up with practiceMeditation, educationCumulative
Meme strength (centrality)M up with strong memesMemeplexStable
SITM up with structural gapsUnfilled positionsPersistent

SIT interactions with other factors:

  • Stress + SIT: Stress suppresses the M-layer, but SIT continues to generate SEEKING activation. Result: rumination — obsessive return to unresolved problems precisely during stress, when the M-layer is weakened and cannot work effectively toward closure. This explains the paradox: stress reduces cognitive abilities but intensifies “fixation” on problems.

  • Low energy + SIT: Under exhaustion, the G-layer dominates, but SIT-driven thoughts continue to intrude. Subjectively: “can’t stop thinking about the problem even though I’m tired.” Hence — insomnia with unresolved problems.

  • High M training + SIT: Meditation and mindfulness allow observing SIT activation without automatically following it. The M-layer does not suppress SIT but chooses when to allocate resources to it.

  • Strong memes + SIT: Clusters with high eigenvector centrality containing gaps generate maximum SIT — these are the most “obsessive” unresolved problems (life questions, professional puzzles).

See also: Formal definition of SIT — NM, Part VIII; Resource competition — AGI Foundations, Part II.


Part VII. Ontogeny: BMC Changes Across the Lifespan

The Problem: BMC Is Not Static

BMC configuration changes throughout life:

  • Children easily accept memes
  • Adolescents test boundaries
  • Adults are stable but rigid
  • The elderly resist change

How to formalize these changes?

Critical Periods

A critical period is a time window during which certain meme types can enter with minimal resistance.

flowchart LR subgraph P1["0-6 years: Sponge"] A1[Minimal filtration] A2[Massive meme entry] A3[Hub formation] end subgraph P2["6-12 years: Organization"] B1[Structuring memes] B2[Cluster formation] B3[Immune system emerging] end subgraph P3["12-25 years: Testing"] C1[Testing boundaries] C2[Conflict with parental memes] C3[Identity formation] end subgraph P4["25-60 years: Stabilization"] D1[Structure reinforcement] D2[Modularity growth] D3[Change resistance] end subgraph P5["60+ years: Rigidity"] E1[High immunity] E2[Conservatism] E3[Possible regression] end P1 --> P2 --> P3 --> P4 --> P5

Critical Periods Table

AgePhasePFC StateBMC BalanceOpenness to MemesPanksepp Binding LevelRisks
0-6SpongeImmatureG » MMaximumPrimary dominatesTraumatic memes
6-12OrganizationMaturingG > MHighSecondary formingMaladaptive patterns
12-25TestingActive developmentG ~ MMediumTertiary formingDestructive ideologies
25-60StabilizationMatureM > GLowTertiary dominatesRigidity
60+RigidityDecliningM » G or decliningMinimalRegression to primaryG regression

Balance by Age Formula

$$Balance(age) = \frac{C_{PFC}(age)}{C_{limbic}} \cdot \frac{M_{density}(age)}{M_{max}}$$

where:

  • $C_{PFC}(age)$ — degree of prefrontal cortex maturation
  • $C_{limbic}$ — constant (limbic system matures early)
  • $M_{density}(age)$ — memeplex density
  • $M_{max}$ — maximum memeplex capacity

Approximate $C_{PFC}(age)$ values:

Age$C_{PFC}$Comment
5 years0.3Minimal control
12 years0.5Partial control
18 years0.7Suboptimal control
25 years1.0Full maturation
40 years1.0Stability
60 years0.9Beginning of decline
80 years0.6Significant decline

BMC Lifecycle Diagram

flowchart LR Birth[Birth
G dominates] --> Infancy[Infancy
Memes enter] Infancy --> Childhood[Childhood
Memeplex grows] Childhood --> Adolescence[Adolescence
G-M conflict] Adolescence --> YoungAdult[Young adult
Balance achieved] YoungAdult --> MidLife[Maturity
M stable] MidLife --> OldAge[Old age
Rigidity or regression] OldAge --> End[End
M dissolution?] style Birth fill:#e74c3c style Infancy fill:#f39c12 style Childhood fill:#f1c40f style Adolescence fill:#2ecc71 style YoungAdult fill:#3498db style MidLife fill:#9b59b6 style OldAge fill:#95a5a6

Table: Consequences of Missing a Critical Period

Critical PeriodMeme TypeConsequences of MissingExamples
0-3 yearsBasic attachmentAttachment disordersOrphanage children
0-6 yearsNative languageIncomplete language masteryFeral children
0-6 yearsBasic trustParanoid tendenciesEarly trauma
6-12 yearsSocial normsAntisocial patternsIsolation
12-20 yearsAbstract thinkingConcrete thinkingCognitive deprivation

Numerical Example: Openness Change

Model of openness to new memes:

$$Openness(age) = O_{base} \cdot e^{-\lambda \cdot (age - age_{peak})^2}$$

where $O_{base} = 1.0$, $age_{peak} = 10$, $\lambda = 0.003$.

AgeOpennessInterpretation
50.93Very open
101.00Peak openness
150.93Still open
250.65Declining
400.30Low openness
600.08Minimal

Conclusion: Core memes should enter before ~25 years. After that, entry is difficult.

See also: Memeplex ontogeny — EMT, Part VI.

Openness as a Cross-Cluster Plasticity Modulator

The openness function $O(age)$ (see table above) not only regulates the probability of new meme entry but also modulates reactivation of cross-cluster connections.

Mechanism: During Hebbian reactivation (both nodes co-activated), intra-cluster edges are reactivated at full strength $\Delta w$, while cross-cluster edges are modulated:

$$\Delta w_{cross} = \Delta w \cdot O(age)$$

Biological basis: Openness to experience is linked to dopaminergic activity (DeYoung, 2013), specifically tonic dopamine modulation of distal cortical connections. Age-related decline in dopaminergic activity (Backman et al., 2006) reduces plasticity of “long-range” associative pathways while preserving plasticity of local (intra-cluster) ones.

Phases:

Age$O(age)$Cross-Cluster ReactivationEffect on $Q$
50.9595% of $\Delta w$$Q$ low, high integration
150.8585% of $\Delta w$Slow $Q$ growth
250.6565% of $\Delta w$Beginning of crystallization
400.3030% of $\Delta w$Significant $Q$ growth
600.088% of $\Delta w$$Q$ maximal, rigidity

Additional mechanism at $O < 0.3$: In addition to weakened reactivation, differential plasticity engages — background strengthening of intra-cluster and weakening of cross-cluster connections (see NM: “Differential plasticity at low openness”).

Age Crises as Cascading Hub Restructuring

Critical periods (table above) describe smooth BMC dynamics. However, ontogeny also contains crises — discrete phase transitions during which memeplex topology reorganizes in an avalanche-like fashion (see EMT, Part XVII).

Mechanism: Hub Displacement

A crisis is the moment when the old hub is weakened (information gap, changed circumstances, G/M misalignment) and an alternative hub has already accumulated enough connections for avalanche-like capture:

$$\Delta k_i = -\beta \cdot \frac{k_j - k_i}{\sum_m k_m}$$

When $k_j$ (degree of the new hub) exceeds $k_i$ (degree of the old), connections begin to avalanche-transfer -> cascading restructuring = crisis.

Key point: “adult” memes (responsibility, independence, mortality) exist in a child’s memeplex long before the crisis, but as weak peripheral nodes. A crisis is not the appearance of new memes but the capture of connections by already existing memes.

Age Crisis Table

CrisisAgeOld Hub (weakening)New Hub (capturing)G/M TriggerNeural Substrate
Age 3 crisis2-4“Mom decides”“I’ll do it myself” (autonomy)Motor maturation -> G-signal “I can” vs M “not allowed”PFC maturation (frontal lobes)
Adolescent12-17Parental hub-memesOwn identity memesPuberty (G: hormonal surge) -> dissonance with childhood M-layerPFC restructuring; peak dopamine sensitivity
Midlife crisis35-50“Career / family / duty”“What’s it all for?” (existential meme)G: declining $T_{SEEK}$; M: SMC discovers gap between life model and outcomeDMN reflection; dopamine decline
Existential60+“Future” (planning)“Legacy” / “meaning of life lived”G: substrate degradation; M: SMC models finitudePFC degradation; increased DMN

Children After Upheavals

Serious stress (parent’s death, war, violence) is a forcible destabilization of the child’s memeplex. Trauma creates massive SIT -> old hubs (childhood world models) cannot provide closure -> “adult” hubs (which already existed but were weak) get a chance to capture connections -> the child “suddenly” starts reasoning like an adult.

This is not maturation but emergency hub displacement: the memeplex restructures under pressure, bypassing normal phases. The price is instability: “adult” hubs captured connections without having sufficient periphery (childhood memes are not integrated but suppressed -> high internal dissonance -> risk of pathologies, see Part IX).

flowchart TD subgraph NORMAL["Normal Ontogeny"] N1["Childhood hubs
k = 50"] --> N2["Gradual
weakening"] --> N3["Adolescent
hub displacement"] --> N4["Adult hubs
k = 80"] end subgraph TRAUMA["After Upheaval"] T1["Childhood hubs
k = 50"] --> T2["Trauma
(massive SIT)"] --> T3["Emergency
hub displacement"] --> T4["Adult hubs
k = 60, unstable"] end style T2 fill:#e74c3c style T3 fill:#f39c12 style T4 fill:#f39c12 style N3 fill:#27ae60 style N4 fill:#27ae60

Predictions:

PredictionTest
Crises correlate with sharp growth of betweenness centrality of new hubsLongitudinal analysis of semantic networks before/after crisis
Post-trauma children show higher modularity Q (unintegrated clusters)Semantic networks of traumatized vs control
Midlife crisis more common in people with high Q (rigid memeplex, accumulated dissonance)Correlation of Q and crisis onset age

See also: Hub displacement — EMT, Part XVII; network formalization of hub displacement — NM.

BMC Death: The Terminal Phase of Ontogeny

What Happens When the Host Dies

Death is the terminal phase of BMC ontogeny, characterized by irreversible substrate ($S$) loss.

Fate of BMC components:

ComponentAt DeathPreservation
$G$ (genetic)Substrate decay50% — via offspring
$M$ (memetic)Partial preservation<1% — via transmission to others
$I$ (interface)Decay0%
$S$ (substrate)Decay0%
flowchart TD subgraph LIFE["BMC During Life"] G[G: Genetic Layer] M[M: Memeplex] I[I: Interface] S[S: Substrate] G <--> I <--> M G & M & I --- S end DEATH[DEATH] subgraph AFTER["After Death"] G2[G: 50% via offspring] M2[M: <1% via others] I2[I: 0% -- lost] S2[S: 0% -- decayed] end LIFE --> DEATH --> AFTER style DEATH fill:#e74c3c style I2 fill:#95a5a6 style S2 fill:#95a5a6

Quantitative Assessment of Information Loss

Formula:

$$Loss_{death} = 1 - \frac{\sum_i Fidelity(m_i) \cdot Copied(m_i)}{|M|}$$

where $Copied(m_i) \in \{0, 1\}$ indicates whether the meme was copied during the host’s lifetime.

Typical values: $Loss_{death} > 0.99$ (>99% of the memeplex is lost).

Evolutionary Strategies for Meme Preservation

StrategyMechanismEffectiveness
OffspringTransmitting memes to childrenMedium (~10%)
DisciplesPurposeful transmissionHigh (~20%)
TextsExternalization into documentsLow (~1%)
InstitutionsEmbedding in social structuresVaries

The paradox of death: The genetic layer ($G$) has a built-in transmission mechanism (sexual reproduction), ensuring 50% preservation. The memetic layer ($M$) has no analogous mechanism — transmission depends on the host’s active efforts and requires a complex communication channel.

AGI application: Overcoming BMC death via Shared Memplex Repository — see AGI Foundations: Agent death and shared memplex repository.

Memetic perspective: Death and immortality of memes — see EMT, Part XXIII.

Programmed agent death (AGI): In multi-agent BMC systems, death is formalized as apoptosis with four pathways: (1) intrinsic — self-detection of rigidity (SIT near 0, IF near 0), analogous to p53-apoptosis; (2) extrinsic — evolutionary pressure (fitness < theta), analogous to TNF/Fas-signaling; (3) anoikis — social isolation as a senescence accelerator, analogous to loss of extracellular matrix; (4) neglect — resource exhaustion (energy=0), analogous to necrosis. The SMR-donation protocol ensures graceful knowledge transfer (kappa >= 2 memes -> stigmergic traces) before death, implementing the Super-Ratchet at the swarm level. Formalization: SM, Parts III–IV.


Part VIII. Cross-Cultural Variation: Different BMC Configurations

The Problem: Is the BMC Model Universal?

The genetic layer is universal (all humans have identical basic drives). But the interface configuration and memeplex structure vary across cultures.

Thesis: Cultures as BMC Configurations

Different cultures represent different ways of tuning BMC:

  • Which genetic programs are suppressed vs. encouraged
  • How emotions are interpreted
  • Which memes become hubs

Dimensions of Cultural Variation

flowchart TD subgraph DIM["Dimensions of Cultural Configuration"] D1[Individualism / Collectivism] D2[Honor Culture / Dignity Culture] D3[High context / Low context] D4[Tight / Loose cultures] end subgraph BMC_EFF["Effect on BMC"] E1[Which G is suppressed] E2[Which M dominates] E3[How I works] end D1 --> E1 D2 --> E2 D3 --> E3 D4 --> E1

Cultural Configuration Formalization

$$Config = (W_{ind}, W_{col}, \theta_{honor}, \sigma_{context})$$

where:

  • $W_{ind}$ — weight of individualistic memes
  • $W_{col}$ — weight of collectivistic memes
  • $\theta_{honor}$ — threshold for honor insult response
  • $\sigma_{context}$ — degree of contextual communication dependency

Table of Cultural Configurations

Culture$W_{ind}$$W_{col}$$\theta_{honor}$$\sigma_{context}$G-M Arbitration
USA0.80.30.70.2Individual choice
Japan0.30.90.50.9Group harmony
US South / Caucasus0.60.50.20.5Honor defense
Scandinavia0.70.60.80.3Consensus
Russia0.40.70.40.7Strong authority

Visibility of Genetic Programs

Different cultures mask or expose genetic programs differently:

CultureG VisibilityExample
Honor cultureHighAggression as response to insult is legitimate
Dignity cultureLowAggression suppressed, “politeness”
Victimhood cultureMediumAggression redirected into moral condemnation

Prediction: Honor Cultures and Escalation

Hypothesis: In cultures with low $\theta_{honor}$ (low insult-response threshold), G-M conflict escalates faster.

Mechanism:

  1. Insult activates $G_{status}$
  2. In honor culture, low $\theta_{honor}$ -> “defend honor” meme activates easily
  3. The meme does not suppress $G_{aggression}$ but directs it
  4. Result: physical aggression

In a dignity culture:

  1. Same insult activates $G_{status}$
  2. High $\theta_{honor}$ -> “rise above it” meme
  3. Meme suppresses $G_{aggression}$
  4. Result: external calm (internal tension)

Diagram: Cultural Modulation of BMC

flowchart TD subgraph STIM["Stimulus: Insult"] S1[G_status activation] end subgraph HONOR["Honor Culture"] H1[theta_honor low] H2["Meme: Defend honor"] H3[Aggression directed] H4[Physical response] end subgraph DIGNITY["Dignity Culture"] D1[theta_honor high] D2["Meme: Rise above"] D3[Aggression suppressed] D4[Verbal response or withdrawal] end S1 --> H1 S1 --> D1 H1 --> H2 --> H3 --> H4 D1 --> D2 --> D3 --> D4 style H4 fill:#e74c3c style D4 fill:#3498db

Intergenerational Configuration Transmission

Cultural configuration is transmitted through:

  1. Parenting — parents tune their children’s BMC
  2. Institutions — school, church, army
  3. Narratives — stories, heroes, role models
$$Config_{child} = \alpha \cdot Config_{parents} + \beta \cdot Config_{peers} + \gamma \cdot Config_{media}$$

where $\alpha + \beta + \gamma = 1$, and the weights change with age.

Stratification of Access to Cultural Configuration

The intergenerational transmission formula masks a critical fact: source quality depends on social stratum.

Stratum$q_{parents}$$q_{peers}$$q_{media}$$Config_{quality}$
Elite0.90.90.80.87
Middle class0.60.50.50.53
Lower class0.30.20.30.27

where $Config_{quality} = \alpha \cdot q_{parents} + \beta \cdot q_{peers} + \gamma \cdot q_{media}$

Source quality ($q$) is determined by:

  • Memeplex richness (meme diversity)
  • Coherence (internal consistency)
  • Adaptiveness (correspondence to reality)

Connection to Balance:

Low $Config_{quality}$ -> weak memetic layer (M) -> low $Balance$ -> greater susceptibility to genetic drives and external “tests.”

$$Balance(layer) \propto Config_{quality}(layer)$$

Consequence: Social inequality is not merely economic — it is memetic. Children from lower strata receive not only fewer resources but also a lower-quality BMC configuration.

Theory of cultural capital: Pierre Bourdieu (1986) — embodied, objectified, institutionalized capital.

See also: EMT: Culture as SMR.


Part IX. Pathologies: When BMC Breaks Down

The Problem: What Happens When BMC Malfunctions?

Psychopathology can be viewed as a disruption of balance, stability, or connectivity in BMC.

BMC Pathology Classification

flowchart TD subgraph CLASS["Classification by BMC Parameters"] subgraph BAL["By Balance"] B1[G >> M: Addiction, impulsivity] B2[M >> G: Mania, dissociation] end subgraph STAB["By Stability"] S1[Low: Borderline disorder] S2[Excessive: Rigidity, OCD] end subgraph CONN["By Connectivity"] C1[Fragmentation: Schizophrenia] C2[Hyperconnectivity: Paranoia] end end

Pathology Formula

$$Pathology = f(Balance, Stability, Connectivity)$$

where each parameter has a “healthy range”:

ParameterHealthy RangePathology at LowPathology at High
$Balance$0.8 – 2.5Impulsivity, addictionDissociation, intellectualization
$Stability$0.3 – 0.7Borderline disorderOCD, rigidity
$Connectivity$0.4 – 0.8SchizophreniaParanoia, ideas of reference

BMC Pathology Taxonomy

Pathology$Balance$$Stability$$Connectivity$Mechanism
AddictionG » MLowNormalReward system hack, G wins
DepressionM disruptedHigh (rigid)LowRumination (SMC, LP ~ 0) -> $E_{available} \to 0$ -> M-layer offline
PTSDG lockedUnstableHyper to traumaTraumatic hub-meme
ManiaM » GLowHyperMemes “running away,” G ignored
AnorexiaM » GHighNormalBeauty meme overrides hunger G
DissociationM detached from GLowFragmentationInterface “disconnected”
SchizophreniaUnstableLowFragmentationMemes not integrated into a unified “self”
OCDM dominatesVery highHyper to threatRitual-meme “protects” from G fear
BorderlineOscillatingVery lowUnstableRapid G-M switching
SuicideM vs G (terminal)Very highLow (isolation)Both inferences failed -> “closure impossible” -> “no way out” meme overcomes G

Diagram: Trajectories to Pathology

flowchart TD NORM[Norm
Balance: 1.5
Stability: 0.5
Connectivity: 0.6] subgraph PATH["Trajectories to Pathology"] NORM -->|Stress + vulnerability| ADDICTION[Addiction] NORM -->|Trauma| PTSD[PTSD] NORM -->|Loss of meaning| DEPRESSION[Depression] NORM -->|Genetic predisposition| SCHIZO[Schizophrenia] NORM -->|Diet culture + perfectionism| ANOREXIA[Anorexia] end style NORM fill:#27ae60 style ADDICTION fill:#e74c3c style PTSD fill:#e74c3c style DEPRESSION fill:#e74c3c style SCHIZO fill:#e74c3c style ANOREXIA fill:#e74c3c

Numerical Example: Addiction as a Trajectory

Initial state (norm):

  • $Balance = 1.5$
  • $A_m = 0.6$, $A_g = 0.4$
  • “Healthy lifestyle” meme controls $G_{reward}$

Event: first drug use

  • Drug directly activates $NA$ (nucleus accumbens)
  • $A_g$ sharply rises to 0.9
  • $Balance$ drops to 0.67

Dependency formation:

Stage$A_m$$A_g$$Balance$State
Norm0.60.41.50Control
After first use0.50.70.71Strong craving
Regular use0.40.80.50Loss of control
Dependency0.20.90.22G dominates
“Rock bottom”0.11.00.10M destruction

Mechanism: The drug hacks the reward system, making it insensitive to natural rewards (including rewards from memes). $G_{reward}$ no longer serves either genes or memes — only the substance.

Depression as Rumination: The SMC Mechanism

The classical description of depression as “memes switched off” is imprecise. The refined mechanism via reflection (see EMT, Part XVII):

  1. SMC scans the memeplex -> finds gaps and contradictions (normal reflection)
  2. Generates candidate memes for closure -> none closes the gap
  3. LP ~ 0 -> LP filter dampens SIT, but SMC continues scanning (rumination)
  4. Rumination consumes $E_{available}$ (energy budget is finite)
  5. $E_{available} \to 0$ -> M-layer loses activation -> sigma falls below criticality
  6. M-layer enters subcritical regime -> memes “offline” -> G dominates without M direction -> apathy, anhedonia
$$E_{available}(t) = E_{max} - \sum Cost_{rumination}(SMC) - \sum Cost_{active} \to 0$$

Neural substrate:

ComponentNeural StructureWhat Happens in Depression
SMC (rumination)DMN (mPFC, PCC)Hyperactivation — stuck reflection cycle
SEEKINGVTA -> NAHypoactivation — no closure -> no reward -> anhedonia
I-layerACC, insula“Conflict” signal, but no resources for resolution
M-layer (general)PFC, associative zonesSubcriticality — sigma < 1, memes cannot spread

Evidence: Berman et al. (2011), Biological Psychiatry: DMN hyperactivation in depression correlates with rumination; Sheline et al. (2009), PNAS: disrupted anti-correlation of DMN and task-positive networks in depression.

Suicide as Terminal Failure of Both Inferences

Suicide is an extreme case in which both discrepancy-minimization mechanisms have terminally failed (see EMT, Part XVII):

  • (a) Perceptual inference (update model to match reality): the memeplex is too rigid (high Q, hubs resist restructuring) -> the person cannot change their model
  • (b) Active inference (change reality to match model): insufficient resources or insurmountable circumstances -> the person cannot change the world

When both paths are blocked: LP = 0 -> rumination -> $E_{available} \to 0$ -> the M-layer generates the meme “closure is impossible” -> the “no way out” meme overcomes the G-layer (self-preservation instinct).

Risk and protective factors in BMC language:

FactorRisk (up)Protection (down)
Modularity QHigh -> rigidity -> perceptual inference blockedLow -> flexibility -> model adapts
$E_{available}$Low -> active inference impossibleHigh -> resources for changing reality
Social connectionsFew connections to other BMCs -> no external memes for closureMany connections -> external frameworks
$T_{SEEK}$ at LP = 0High -> agonizing need for closure without possibilityLow -> less suffering from the gap

Therapeutic Implications

PathologyTherapy Goal in BMC TermsTherapy Mechanism
AddictionRestore $Balance$, strengthen MNew memes capture connections from substance meme
DepressionInterrupt rumination, enable LP > 0CBT: new frameworks -> closure -> rumination stops; SSRI: suppress SMC cycle -> $E_{available}$ recovers
PTSDIntegrate traumatic meme, reduce its dominanceExposure: weakening traumatic hub connections
Suicide riskLower Q (flexibility), provide external memes for closureCrisis intervention: external connections + new frameworks (perceptual inference)
BorderlineStabilize G-M switchingI-layer stabilization
OCDLower $Stability$, weaken ritual-memeERP: weakening ritual-meme connections through non-reinforcement

See also: Addiction as defeat of both systems — EMT, Part XXVIII; network predictions of pathologies — NM, Part XII.

Extended Neurotaxonomy: ADHD, Autism, DID, and Cognitive Dissonance

The existing section covers addiction, depression, PTSD, schizophrenia, OCD, and borderline disorder. But BMC predicts a unified parameter space for all disorders. Below are the neuromechanisms of the missing ones.

ADHD: sigma > 1 (supercriticality) + unstable SIT

Neural StructureDisruptionBMC Interpretation
PFC (prefrontal cortex)HypoactivationM-layer cannot maintain focus — weak lateral inhibition
VTA -> NA (dopamine)Phasic instabilitySEEKING flickers: burst -> closure -> new gap -> burst
LC (norepinephrine)Irregular tonic activityI-layer cannot filter stably — memes compete chaotically
Default mode networkInterference with task-positiveSMC intrudes into task mode -> “daydreaming”

BMC mechanism: sigma > 1 (supercriticality) — activation spreads too easily -> memes do not compete but all activate simultaneously -> no winner -> switching. SIT creates many gaps, but closure comes prematurely (superficially) -> new gap -> cycle.

Stimulants (Ritalin, Adderall): increase tonic dopaminergic and noradrenergic activity -> stabilize the I-layer and lateral inhibition -> sigma approaches 1 -> M-layer can maintain focus.

Formal connection to WM selection: The distinction between phasic and tonic dopamine is directly reflected in the WM salience formula. Phasic VTA response = $|\Delta a_i(t)|$ (prediction error -> burst firing -> attention capture). Tonic level = $a_i(t)$ (baseline firing -> sustained focus). In ADHD, phasic signal is unstable (SEEKING flickering) and tonic is insufficient (weak lateral inhibition). Stimulants increase the tonic component, stabilizing $a_i(t)$ and allowing habituation $h_i(t)$ to correctly displace irrelevant memes.

Autism: I-Overtuning + Weak Long-Range Connections

Neural StructureDisruptionBMC Interpretation
ConnectivityHigh local, weak long-rangeM-layer: high local clustering, but modules weakly connected
ACC/insulaAtypical activation during social tasksI-layer does not integrate social-emotional signals
Mirror neuron systemAtypicalDifficult meme copying through observation
DMNHypoactive during social tasksSMC weakly connected to social-emotion clusters

BMC mechanism: The I-system is too strict — new memes (especially unstructured, social ones) are filtered out. The M-layer is highly structured within “special interests” (deep local clustering) but weakly connected between clusters. PLAY is reduced — little stochastic recombination.

Compatible neuroanatomical data: Ecker et al. (2013): diffusion MRI shows altered white matter connectivity in autism — specifically weak long-range connections with preserved local connectivity. This corresponds to the BMC description (high local clustering, weak inter-cluster edges), though the data precede the model.

DID (Dissociative Identity Disorder): Multiple SMC

Neural StructureDisruptionBMC Interpretation
DMN configurationDifferent patterns for different identity-statesMultiple SMC subgraphs, each with its own DMN profile
AmygdalaDifferentiated response by identity-statesDifferent G-configurations for each SMC module
PFC-amygdala connectivityDisrupted between statesI-layer between modules is broken

BMC mechanism: massive trauma -> forced M-layer segmentation to isolate unbearable SIT-gaps. Each segment develops its own SMC. Result: Modularity $Q$ » normal, connectivity between identity-modules -> 0.

Data: Reinders et al. (2014): fMRI shows different neural activity patterns for different identity-states, including different DMN configurations.

Cognitive Dissonance: Hub Advantage Neuromechanism

BMC predicts that in cognitive dissonance, the meme with lower eigenvector centrality will change (hub advantage — see EMT, Part IV). Neuromechanism:

  1. Conflict detection: ACC detects simultaneous activation of incompatible memes (negative edge + both > theta_high)
  2. Discomfort: Insula generates a somatic marker — a feeling that “something is wrong”
  3. Resolution via hub advantage: PFC redistributes activation. The meme with greater degree (more incoming edges -> more supporting activation) holds its position. The less connected meme is suppressed via lateral inhibition -> rationalization.

Neural data: van Veen et al. (2009): ACC is activated during cognitive dissonance (fMRI); dACC activation predicts degree of attitude change — the I-layer (conflict detection) initiates the process.

Unified parameter space of all disorders and formalization — see EMT, Part XXII; network formalization — see NM.

Radicalization: The Neural Trajectory of Ideological Capture

Radicalization is a neurobiologically describable process of hub displacement under ideological pressure. The mechanism parallels ontogenetic crises (hub displacement under trauma) but with an external agent (ideology).

Neural trajectory:

PhaseNeuromechanismBMC Parameter
1. Grievance/traumaMassive SIT-gap -> DMN hyperactive (rumination)SIT up, LP ~ 0
2. Ideological offerMeme-complex with high emotional valence closes gap -> VTA rewardLP -> “> 0” (illusory closure)
3. Hub displacementIdeological memes capture connections -> PFC reconfiguredDiversity down, Q up
4. I-recalibrationACC/insula recalibrated: in-group = compatible, out-group = threatI-threshold shifted
5. G-restructuringAmygdala hyperactive (FEAR/RAGE), VTA in tonic mode (in-group reward)RAGE/FEAR up, CARE/PLAY down

Neurochemistry:

  • Oxytocin: enhances in-group bonding, enhances out-group hostility (De Dreu et al., 2010)
  • Cortisol: chronically elevated (constant threat detection)
  • Dopamine: reward from in-group belonging -> reinforcing cycle

Adolescent vulnerability: PFC not fully myelinated yet (until ~25 years) -> I-layer immature -> weak filtration. Simultaneously, peak SEEKING (identity formation) + G-instability (puberty) -> ideal window for ideological capture.

Predictions:

PredictionNeural Marker
Radicalization accompanied by decreased PFC-amygdala connectivityfMRI: testable on ex-radicals
Deradicalization = restoration of DMN-TPN anti-correlationfMRI: longitudinal in exit programs
Adolescents with immature PFC more vulnerableCorrelation of PFC maturation x susceptibility

Conceptual connection: Radicalization as the reverse path of Gandhi — see EMT, Part XXVII.

PFC Myelination and WM Capacity Growth

The WM ceiling ($k_{active}$) is determined by theta-gamma coupling in PFC: the number of gamma cycles fitting within one theta cycle sets the maximum number of simultaneous representations (Lisman & Jensen, 2013, Neuron). This coupling matures as PFC myelinates — the latest-maturing cortical region (Gogtay et al., 2004, PNAS).

AgePFC StatusTheta-Gamma Coupling$k_{active}$Critical Period of Memogenesis
~1 yearMinimal myelinationWeak, unstable~1Primary binding: single memes
~3 yearsdlPFC myelination beginningForming~2Secondary binding: conditioned pairs
~7 yearsMid myelinationStable 3-cycle~3Tertiary binding: Piaget concrete operations
~15+ yearsNear matureStable 4-cycle~4Metacognition: reflection, long chains
>65 yearsAtrophy, demyelinationDecouplingDownCompensation via stigmergy + preserved habits

EEG marker: Growth in theta-gamma phase-amplitude coupling (PAC) in frontal leads correlates with WM capacity across ages (Gaillard et al., 2021, Heliyon). This provides an objective neural marker for $k_{active}(t_{dev})$.

Critical periods of memogenesis. Each increment in $k$ opens a new binding level: $k=1$ -> single memes (sensorimotor), $k=2$ -> conditioned pairs (early symbolism), $k=3$ -> triple operations (logic, rules), $k=4$ -> metarepresentations (reflection over memes). Memes requiring $k > k_{active}$ literally do not fit in WM -> cannot be acquired. Hence age-stratified cultural transmission.

Formalization: $k_{active}(t_{dev})$, formula and empirical anchors — see NM: WM Ontogeny.

Cognitive Biases: Neuroanatomical Substrate

The six BMC mechanisms generating cognitive biases have distinct neuroanatomical substrates. Below is the mapping of mechanisms to brain regions and key neural data.

BMC MechanismNeuroanatomical SubstrateKey Data
H (hub inertia)mPFC (belief updating), VMPFC (confidence in beliefs)Positive correlation: VMPFC activity correlates with confidence in current belief (Lebreton et al., 2015). Hub-memes with high $C_E$ are maintained by sustained mPFC representation
I (immune filtration)Parietal cortex (evidence encoding), mPFC (selective readout)Park et al. (2025, Nature Communications): evidence is accurately encoded in parietal cortex regardless of compatibility, but behavioral readout is higher for belief-consistent evidence. The I-filter acts at the readout level, not encoding
W (WM constraints)DLPFC (WM maintenance), theta-gamma coupling$k_{active}$ ceiling is determined by the number of gamma cycles per theta cycle (Lisman & Jensen, 2013). WM overload -> DLPFC deactivation -> biases intensify
G (affective capture)Amygdala (threat valuation), VMPFC (affect integration), striatum (reward)Nie et al. (2023, Imaging Neuroscience): MEG shows that loss and gain are processed via distinct neurodynamic pathways; alpha asymmetry correlates with individual loss aversion
A (automatization)DLS (dorsolateral striatum — habits) vs DMS (dorsomedial striatum — goal-directed)Yin & Knowlton (2006): DLS damage -> habit loss; DMS damage -> goal-directed control loss. DLS/DMS competition = $Auto(S)$ vs deliberation
R (reconsolidation)Hippocampus (labile window), BLA (emotional reconsolidation)Nader et al. (2000, Nature): reactivation -> labile state -> reconsolidation/extinction. Hippocampal reconsolidation = $Labile(m_i, t)$

Dual system: G vs M, not System 1 vs System 2. Kahneman described two “systems”: fast intuitive (System 1) and slow analytical (System 2). Neural data show a more precise picture:

  • G-layer (amygdala, striatum, VMPFC) — fast utility assessment. Not “irrational” — optimizes survival and reproduction. Loss aversion, affect heuristic = G-capture of WM slots.
  • M-layer deliberation (DLPFC, ACC, posterior parietal) — slow analytical processing. Requires WM resources ($k_{eff} > 1$). Confirmation bias, Dunning-Kruger = H-inertia + I-filtration in M-layer.
  • ACC (anterior cingulate cortex) — conflict detector. Activated during G/M misalignment (when G “wants” one thing and M analysis shows another). Detects cognitive dissonance ($D > \theta$) and triggers override — M’s attempt to suppress the G signal.

“System 1” = G + A (utility reactions + automatized patterns). “System 2” = M-layer deliberation with WM. But Kahneman does not distinguish G and A within “System 1” — and this is critical: G-biases (loss aversion) are intensified by WM load, A-biases (status quo) are not.

Neural signatures of biased confidence. Lebreton et al. (2015) and subsequent work show: VMPFC correlates positively with confidence (certainty in a decision), while DLPFC/DMPFC correlates negatively. In BMC: VMPFC = G-valuation (utility assessment “this is right/safe”), DLPFC = M-override (analytical check, requiring WM). High confidence during bias = strong G signal (VMPFC) with weak M-override (DLPFC loaded or not activated).

Cross-modulation: negativity bias. $\lambda_{neg} < \lambda_{pos}$ — neurobiologically: the amygdala reacts faster and more intensely to negative stimuli (LeDoux, 1996); consolidation of negative memories is enhanced (via norepinephrine -> BLA -> hippocampus pathway). This is not a separate system but a parameter modulating the edge decay rate for negatively colored edges in the memeplex.

Connection to pathologies. Extreme values of the same parameters produce clinical disorders (see Part IX above: parametric taxonomy). Cognitive biases are the normative range; clinical disorders are tail distributions of the same parameters:

Bias (norm)ParameterPathology (extreme)
Confirmation bias (H)$C_E$ high, I strictParanoid ideation (H+I -> extreme)
Loss aversion (G)FEAR $w_{capture} = 1.0$Anxiety disorder (FEAR-capture chronic)
Status quo bias (A)$habit^2$ highOCD (A -> extreme, $Cost_{override} \to \infty$)
Hindsight bias (R)$Labile$ + context shiftPTSD (R -> failure: destabilize-loop)

Formalization: Bias strength functions $B_H, B_I, B_W, B_G, B_A, B_R$ — see NM, Part IX. Conceptual overview: EMT, Part XXIV. AGI engineering: AGI Foundations, Part VI.


Part X. Epigenetics: Can Memes Influence Gene Expression?

The Problem: One-Directional Influence?

So far we have considered the influence of genes on memes and the reverse influence of memes (through behavior) on gene success. But is direct meme influence on gene expression possible?

Epigenetic Primer

Epigenetics is the study of changes in gene expression not related to changes in the DNA sequence.

Main mechanisms:

MechanismDescriptionEffect
DNA methylationAttachment of a methyl group to cytosineUsually suppresses expression
Histone modificationAcetylation, methylation of histone tailsChanges DNA accessibility
Non-coding RNAmiRNA, lncRNA regulate expressionPost-transcriptional regulation

Evidence of Behavioral Influence on the Epigenome

flowchart LR subgraph BEHAVIOR["Behavior (controlled by memes)"] B1[Meditation] B2[Chronic stress] B3[Social isolation] B4[Physical activity] end subgraph EPIGEN["Epigenetic Changes"] E1[Decreased methylation of inflammation genes] E2[Increased methylation of cortisol receptors] E3[Decreased BDNF expression] E4[Increased telomerase] end B1 --> E1 B2 --> E2 B3 --> E3 B4 --> E4

Table: Practices and Epigenetic Effects

PracticeEpigenetic EffectEvidence QualityTransgenerational
MeditationDecreased inflammation genes, increased telomeraseMedium (small samples)Not demonstrated
Chronic stressIncreased NR3C1 methylation (cortisol receptor)HighPossible
Early deprivationDecreased BDNF expression, increased inflammationHighShown in rodents
Physical activityDecreased PPARGC1A methylationMediumNot demonstrated
DietMultiple effectsMediumShown in rodents

Epigenetic Modification Probability Formula

$$P(mod) = 1 - e^{-\lambda \cdot duration \cdot intensity^2}$$

where:

  • $\lambda$ — base modification rate (gene-dependent)
  • $duration$ — exposure duration
  • $intensity$ — intensity (stress, practice)

Example calculation:

Meditation practice: $\lambda = 0.01$ (per week), $duration = 52$ weeks, $intensity = 0.5$ (moderate practice)

$$P(mod) = 1 - e^{-0.01 \cdot 52 \cdot 0.25} = 1 - e^{-0.13} \approx 0.12$$

Probability of a noticeable epigenetic effect ~12% after one year of moderate practice.

Transgenerational Effects

A controversial but important question: Can epigenetic changes be transmitted to offspring?

Evidence:

StudyFindingStatus (2025)
Dutch Hunger Winter (1944-45)Descendants of starved mothers have elevated risk of metabolic disease; accelerated biological aging six decades laterReplicated; PNAS 2024 confirms the effect
Holocaust studies (FKBP5)Altered FKBP5 methylation in survivors’ children; linked to cortisol levelsReplicated in 2020; in 2025 expanded to 3rd–4th generation (Scientific Reports)
Rodent studiesFear of an odor transmitted across 2 generationsExtrapolation to humans debatable; mechanisms not fully clear

2025 update: Transgenerational epigenetic effects in humans replicate more reliably than previously thought. However, effect sizes are small, and causal relationships remain debated due to multiple confounders (shared environment, cultural transmission of trauma, socioeconomic factors).

Diagram: Path from Meme to Epigenome

flowchart TD subgraph MEM["Meme"] M1["Meme: Meditation is beneficial"] end subgraph BEH["Behavior"] B1[Regular meditation] end subgraph PHYS["Physiology"] P1[Decreased cortisol] P2[Decreased inflammation] end subgraph EPI["Epigenetics"] E1[Decreased methylation of inflammation genes] E2[Increased telomerase activity] end subgraph EFF["Effects"] F1[Slowed aging?] F2[Reduced disease risk?] end M1 --> B1 B1 --> P1 B1 --> P2 P1 --> E1 P2 --> E1 P1 --> E2 E1 --> F1 E2 --> F1 E1 --> F2

Important Clarification: Lamarckism Is NOT Rehabilitated

Critical note: Epigenetic effects of behavior do not mean the rehabilitation of Lamarckism. Important limitations:

  1. Effects are probabilistic, not deterministic
  2. Effects are often reversible
  3. Transgenerational transmission is limited (1–2 generations)
  4. Mechanisms in humans are less studied than in rodents
  5. Many early studies have not been replicated

Memes can influence gene expression, but this influence is limited, probabilistic, and is not “inheritance of acquired traits” in the Lamarckian sense.

Implications for the BMC Model

If memes can influence the epigenome:

  1. Long-term memes can modify the $G$-layer itself (not the genome, but its expression)
  2. Cultural evolution can indirectly influence biological evolution via epigenetics
  3. Therapy may have epigenetic effects

This adds another level of interaction to the BMC model.


Part XI. Predictions and Falsifiability

The Problem: Does the Theory Explain Everything?

Any good theory must make falsifiable predictions. What does the BMC model predict?

Predictions Table

PredictionBMC MechanismVerification MethodWhat Would Refute It
PFC damage shifts balance toward GPFC is the M substrateBehavior of patients with PFC damageNo impulsivity with PFC damage
Cortisol correlates with G dominanceStress activates GCortisol measurement + behaviorHigh cortisol with rational behavior
Cultural configuration inherited via memesTransmission through upbringingMigrant children vs. native-culture childrenMigrant children identical to home culture
Regression under stressI depletion -> G dominatesBehavior under loadStress improves rationality
M Connectivity grows with ageConnection accumulationNetwork analysis of semantic networksIdentical modularity at 20 and 60
Therapy changes G-M connectionsI modificationNeuroimaging before/after therapyTherapy does not affect activation

Specific Predictions from the Model

1. Neuroanatomical Prediction

Prediction: Individual PFC thickness correlates with meme-favoring $Balance$.

Mechanism: PFC is the M substrate. More PFC -> more meme capacity -> higher $Balance$.

Verification: Correlation of PFC thickness (MRI) with self-control measures.

Falsification: No correlation or inverse correlation.

2. Pharmacological Prediction

Prediction: PFC-enhancing drugs (e.g., modafinil) increase meme-favoring $Balance$.

Mechanism: Strengthening the M substrate -> more M resources -> higher $Balance$.

Verification: Behavioral tests under drug vs. placebo.

Falsification: Drug does not affect self-control.

3. Ontogenetic Prediction

Prediction: PFC maturation (age ~25) coincides with peak $Balance$.

Mechanism: Full maturation of the M substrate -> maximum capacity.

Verification: Longitudinal study of $Balance$ (self-control tests) + MRI.

Falsification: Peak $Balance$ does not coincide with PFC maturation.

4. Cross-Cultural Prediction

Prediction: Cultures with high $\theta_{honor}$ (dignity cultures) have fewer violent crimes.

Mechanism: High threshold -> M suppresses G aggression more often.

Verification: Correlation of cultural metrics with crime statistics.

Falsification: No correlation or inverse correlation.

Predictions Structure Diagram

flowchart TD subgraph THEORY["BMC Theory"] T1[Balance = A_PFC / A_limbic] T2[Stress -> G dominates] T3[PFC is M substrate] end subgraph PREDICT["Predictions"] P1[PFC thickness ~ self-control] P2[Cortisol ~ impulsivity] P3[Age 25 = peak Balance] end subgraph TEST["Tests"] TEST1[MRI + behavioral tests] TEST2[Hormonal measurements + behavior] TEST3[Longitudinal study] end subgraph FALSIFY["Falsification"] F1[No correlation] F2[No correlation] F3[Peak not at 25] end T1 --> P1 T2 --> P2 T3 --> P3 P1 --> TEST1 --> F1 P2 --> TEST2 --> F2 P3 --> TEST3 --> F3

Existing Confirmations

PredictionStatusSource
PFC damage -> impulsivityConfirmedFamous case of Phineas Gage; systematic studies
Stress reduces self-controlConfirmedBaumeister et al., ego depletion (with replication caveats)
PFC matures by ~25 yearsConfirmedGogtay et al. (2004), longitudinal MRI
Honor cultures more aggressivePartially confirmedCohen et al. (1996), US South studies

5. SIT-Specific Predictions

Structural Incompleteness Tension (SIT) generates a separate class of predictions not derivable from the base BMC model without the SIT extension:

5a. Neuroanatomical (DMN x gap density):

PredictionMethodFalsification Criterion
Semantic network gap density correlates with DMN activation during resting-stateFree associations -> semantic network; fMRI resting-state$r < 0.15$ at $N > 50$

Subjects with more “open questions” (high gap density) should show higher basal DMN activation. This is a direct consequence of SIT -> SEEKING -> DMN.

5b. Pharmacological (dopaminergics x SIT-rumination):

PredictionMethodFalsification Criterion
Dopaminergics (L-DOPA, amphetamine) enhance SIT-ruminationPlacebo-controlled design; rumination questionnaire + thought probesNo significant increase in thought probes about unresolved tasks

The SIT term in the SEEKING formula is modulated by $T_{SEEK}$, which depends on dopamine. Increasing available dopamine -> increased $T_{SEEK}$ -> enhanced SIT-driven activation -> more spontaneous thoughts about unresolved problems.

5c. Behavioral (Zeigarnik x centrality):

PredictionMethodFalsification Criterion
Zeigarnik effect modulated by cluster centrality: important tasks -> stronger effectInterruption of tasks of varying subjective significance; recall after 24 hoursNo correlation between importance ratings and recall advantage

The classic Zeigarnik effect (better memory for interrupted tasks) should be modulated by significance: $SIT \propto centrality(C)$, so interrupted tasks from central clusters should be remembered significantly better than those from peripheral ones.

5d. Temporal (SIT is not a forgetting curve):

PredictionMethodFalsification Criterion
SIT does not follow a forgetting curve; persists until closure or LP-collapseLongitudinal study: unresolved problems x time x recallRecall for unresolved tasks follows $e^{-\lambda t}$ just like resolved ones

Resolved tasks follow edge decay: $w(t) = w_0 \cdot e^{-\lambda t}$. Unresolved tasks with $SIT > 0$ should show a plateau of recall that does not decline until closure (solution found) or LP-collapse (progress completely stopped).

See also: Falsifiability of meme theory — EMT, Part XXIX; network predictions and SIT prediction #9 — NM, Part XI.


Part XII. Conclusions and Implications

Summary of the BMC Model

The Biomemetic Complex is a system arising from the interaction of two replicators (genes and memes) on a shared neurobiological substrate.

$$BMC = (G, M, I, S)$$
flowchart TD subgraph SUMMARY["BMC Summary"] subgraph COMP["Components"] G[G: Genetic Layer
Fixed drives] M[M: Memetic Layer
Dynamic memeplex] I[I: Interface
Interaction mechanisms] S[S: Substrate
Neurobiology] end subgraph DYN["Dynamics"] D1[Competition for attention] D2[Four regimes] D3[Regime transitions] end subgraph ONTO["Ontogeny"] O1[Critical periods] O2[PFC maturation] O3[Rigidity with age] end subgraph PATH["Pathologies"] P1[Balance disruption] P2[Stability disruption] P3[Connectivity disruption] end end COMP --> DYN DYN --> ONTO ONTO --> PATH

Key Conclusions

#ConclusionImplication
1Consciousness is a product of tension between G and M, not M aloneFor AGI, a memeplex alone is insufficient
2$Balance$ depends on the substrate (PFC vs. limbic)Neurobiology determines boundaries
3Interface $I$ is trainable (habits)Therapy is possible
4BMC configuration is culture-specificUniversal prescriptions do not work
5Pathologies are disruptions of BMC parametersA new perspective on diagnostics

Implications for Different Domains

For Psychiatry

Traditional ApproachBMC Approach
Diagnosis by symptomsDiagnosis by BMC parameters
Drug treatmentModifying Balance + I
Focus on behaviorFocus on G-M dynamics

For Education

Traditional ApproachBMC Approach
Knowledge transferMeme niche colonization
Same methods for allAccounting for critical periods
Ignoring emotionsIntegrating G and M

For AI Alignment

Traditional ApproachBMC Approach
Value alignmentUtility layer + Memetic layer
Absence of conflict = goodConflict = source of “self”
Single-goal optimizationDynamic goal equilibrium

For Social Policy

Traditional ApproachBMC Approach
Information campaignsUnderstanding memeplex immunity
Rapid changesAccounting for BMC rigidity
Same measures for allAccounting for cultural configuration

Bridge to AGI

The BMC model proposes an architecture for AGI with human-like dynamics:

flowchart LR subgraph HUMAN["Human (BMC)"] H1[Genes] <-->|interface| H2[Memes] H2 --> H3[Consciousness] end subgraph AGI["AGI (BMC-based)"] A1[Utility substrate
Pseudo-instincts] <-->|interface| A2[Memetic layer
Dynamic memeplex] A2 --> A3[Artificial consciousness?] end H1 -.->|functional equivalent| A1 H2 -.->|same| A2

Hypothesis: To create AGI with a human-like “personality,” one must reproduce not only the memeplex but also the utility substrate and the interface between them.

Final Theory Diagram

flowchart TD subgraph FOUNDATION["Foundation"] EVO[Coevolution of genes and memes
Part II] NEURO[Neurobiological substrate
Part III] end subgraph FORMALIZATION["Formalization"] NETWORK[Network model
Part IV] MECH[Interaction mechanisms
Part V] COMPETE[Competition model
Part VI] end subgraph VARIATION["Variations"] ONTO[Ontogeny
Part VII] CULTURE[Culture
Part VIII] PATH[Pathologies
Part IX] end subgraph EXTENSION["Extensions"] EPIGEN[Epigenetics
Part X] PREDICT[Predictions
Part XI] end subgraph APPLICATION["Application"] PSYCH[Psychiatry] EDU[Education] AGI[AGI] POLICY[Policy] end FOUNDATION --> FORMALIZATION FORMALIZATION --> VARIATION VARIATION --> EXTENSION EXTENSION --> APPLICATION NETWORK --> AGI PATH --> PSYCH ONTO --> EDU CULTURE --> POLICY

What Comes Next

  1. Empirical testing — testing predictions from Part XI
  2. Formula refinement — calibrating parameters on real data
  3. AGI application — implementing the architecture from AGI Foundations
  4. Clinical application — developing BMC-based diagnostics

See also: Theory application to AGI — AGI Foundations; network formalization — NM; core theory — EMT.


8-Course Cross-Analysis Updates

The following updates emerge from a systematic cross-analysis of eight graduate-level courses — spanning behavioral biology, nonlinear dynamics, reinforcement learning, neuronal dynamics, cognitive neuroscience, information theory, and network science — against the original BMC formalism. Each update replaces or extends a specific formula from the core theory above with a more principled, empirically grounded version.

Balance Dynamics: Static Ratio → Bistable ODE (CRITICAL)

The original static formula $Balance = A_{PFC}/(A_{limbic}+\varepsilon)$ is replaced by a bistable 2D ODE system:

$$\frac{dA_{PFC}}{dt} = -\alpha A_{amyg} A_{PFC} + I_{rational} + A_{PFC}^{base}$$ $$\frac{dA_{amyg}}{dt} = -\beta A_{PFC} A_{amyg} + I_{emotional} + A_{amyg}^{base}$$

Two stable attractors (rational-dominant, emotional-dominant) with hysteresis: $\theta_{exit} \gg \theta_{enter}$. Once the system tips into an emotional attractor, significantly more rational input is required to return — explaining why “calming down” is harder than “getting angry.” Hopf bifurcation at critical parameter values yields a pathology taxonomy: bipolar disorder = limit cycle between attractors, PTSD = excitable system with low threshold.

Sources: Sapolsky (behavioral biology), Strogatz (nonlinear dynamics).

Learning Rules: Hebbian → TD-Modulated (HIGH)

Three-level hierarchy replacing the generic $\Delta w \propto a_i a_j$:

  1. STDP (Spike-Timing-Dependent Plasticity): $\Delta w = A_+ e^{-\Delta t/\tau_+}$ (pre→post, strengthening) $- A_- e^{-|\Delta t|/\tau_-}$ (post→pre, weakening). Introduces directional causality into edge weights.

  2. Reward-modulated STDP (3-factor rule): $\Delta w_{ij} = \eta \cdot \delta_{BMC} \cdot \psi_i \cdot a_j$. Learning occurs only when the TD error signal $\delta_{BMC}$ confirms that the co-activation was behaviorally relevant. Matches Yagishita et al. (2014) findings on dopamine-gated synaptic plasticity.

  3. TD error as learning signal: $\delta_{BMC} = \sum_g w_g a_g(t+1) + \gamma V(S_{t+1}) - V(S_t)$. Critic (2-factor, ventral striatum analogue) vs Actor (3-factor, dorsal striatum analogue).

Sources: Gerstner (neuronal dynamics), Sutton & Barto (reinforcement learning).

Mutual Information Interpretation of Edges (HIGH)

Edge weight now has a precise information-theoretic meaning:

$$|w_{ij}| \propto I(a_i; a_j) = H(a_i) + H(a_j) - H(a_i, a_j)$$

Edge weight = mutual information in bits between two memes. The PRUNE criterion becomes principled: remove edge if $I < \theta_{prune}$ bits (the memes are informationally independent). Hub = node with maximum total mutual information $\sum_j I(m_i; m_j)$.

Sources: MacKay, Stone (information theory).

Autoreception and Adaptation (MED-HIGH)

$$sensitivity_g(t+1) = sensitivity_g(t) \cdot (1 - \eta \cdot \max(0, a_g - a_g^{base}))$$

Chronic activation of a G-program → sensitivity decrease → tolerance, allostatic load, anhedonia. This formalizes why sustained stress eventually blunts the stress response itself. Implemented as an AdEx (adaptive exponential) slow variable: $\tau_w dw_i/dt = \alpha(a_i - a_i^{rest}) - w_i$.

Sources: Sapolsky (stress physiology), Gerstner (adaptive neuron models).

Serotonin: Dual Role (MED-HIGH)

Serotonin (5-HT) modulates two independent parameters simultaneously:

  1. I-gate amplification: $I_{eff} = I_{base}(1 + \beta_{5HT} \cdot Mod_{5HT})$ — impulse control strength
  2. Temporal discount rate: $\gamma_{BMC} = \gamma_{base} + \beta_\gamma \cdot Mod_{5HT}$ — patience/future orientation

Low serotonin → impulsive AND myopic (double deficit). Predicts Caspi effect: MAO-A variant × childhood trauma → antisocial behavior via both pathways.

Sources: Sapolsky (behavioral biology), Sutton & Barto (discount factor).

Dual-Route Processing (MED-HIGH)

Two routes for information influence on behavior:

  • Route 1 (conscious, ~200ms): $influence^{conscious} = a_i \cdot \mathbb{1}[a_i > \theta_{act}] \cdot priority$
  • Route 2 (subliminal, ~12ms): $influence^{subliminal} = \gamma_{sub} \cdot a_i \cdot f_{route2}(m_i)$

Where $f_{route2}$ depends on meme type: G-connected memes (1.0), semantic memes (0.3), abstract memes (0). Formalizes intuition, implicit bias, blindsight, and Zajonc’s mere exposure effect.

Source: Gazzaniga (cognitive neuroscience).

Rate-Distortion → Fidelity Tiers (MED-HIGH)

$$R(D) = H(m) - H_2(D)$$

Memory fidelity is not binary (remember/forget) but operates on a rate-distortion curve with three tiers:

TierDistortion $D$Rate $R$ (bits)Analog
Full$\leq 0.05$$\geq 0.71$Flashbulb memory
Skeletal$\leq 0.3$$\geq 0.12$Gist memory
Trace$> 0.3$$< 0.12$Déjà vu, priming

Information Bottleneck principle: optimal memory maximizes $\sum I(m; behavior)$ given a finite storage budget. Consolidation = source coding optimization.

Sources: MacKay, Stone (information theory, rate-distortion).

Additional Formulas

ParameterFormulaSource
Dopamine inverted-U$f(u) = 4u(1-u)$, max at $u=0.5$Sapolsky
Testosterone threshold$\theta_g^{eff} = \theta_g^{base} - \sum_k \beta_k Mod_k$Sapolsky
Triple attention$salience = a_i \cdot Alerting(NE) \cdot Orienting(ACh) \cdot Executive(DA)$Gazzaniga
ERP predictionsN400 $\propto PE_{semantic}$, P600 $\propto SIT_{syntactic}$, ERN $\propto$ ConflictGazzaniga

Appendix A. Formula Reference

Definitions

FormulaPartPurpose
$BMC = (G, M, I, S)$IDefinition of the Biomemetic Complex
$G_{BMC} = (V_g \cup V_m, E_{gg} \cup E_{mm} \cup E_{gm})$IVBMC graph

Coevolution

FormulaPartPurpose
$W_{total}(t) = W_g(t) \cdot W_m(t) + \alpha \cdot synergy(g, m)$IICoevolutionary fitness

Neurobiology

FormulaPartPurpose
$Balance(t) = \frac{A_{PFC}(t)}{A_{limbic}(t) + \varepsilon}$IIIActivation balance

Activation

FormulaPartPurpose
$a_g(t) = a_g^{base} + \sum_i w_{gi} \cdot stimulus_i(t)$IVUtility node activation
$\Delta a_m(t) = \alpha \cdot w_{gm} \cdot a_g(t) \cdot (1 - a_m(t))$IVG influence on M
$\Delta a_g(t) = \beta \cdot w_{mg} \cdot a_m(t)$IVM influence on G (sign of $w_{mg}$ determines direction)

Interaction Mechanisms

FormulaPartPurpose
$Cost_{redir} = \delta \cdot \|goal_{gene} - goal_{meme}\| \cdot a_g(t)$VRedirection cost
$Cost_{supp} = \beta \cdot a_g(t) \cdot duration \cdot (1 - habit(m))$VSuppression cost
$a_{effective}(t) = \max(0, a_g(t) - \gamma \cdot a_{meme\_inhibit}(t))$VEffective activation under suppression
$E_{available}(t) = E_{max} - \sum Cost_{supp} - \sum Cost_{active}$VEnergy budget

Competition Model

Mathematical formulas for the competition model are placed in Appendix D as hypothetical — they require empirical validation.

Ontogeny

FormulaPartPurpose
$Balance(age) = \frac{C_{PFC}(age)}{C_{limbic}} \cdot \frac{M_{density}(age)}{M_{max}}$VIIBalance by age
$Openness(age) = O_{base} \cdot e^{-\lambda \cdot (age - age_{peak})^2}$VIIOpenness to memes

Culture

FormulaPartPurpose
$Config = (W_{ind}, W_{col}, \theta_{honor}, \sigma_{context})$VIIICultural configuration
$Config_{child} = \alpha \cdot Config_{parents} + \beta \cdot Config_{peers} + \gamma \cdot Config_{media}$VIIIConfiguration transmission

Pathologies

FormulaPartPurpose
$Pathology = f(Balance, Stability, Connectivity)$IXPathology function

Epigenetics

FormulaPartPurpose
$P(mod) = 1 - e^{-\lambda \cdot duration \cdot intensity^2}$XEpigenetic modification probability

Signed Edges and Asymmetric Decay

FormulaPartPurpose
$w \in [-1, +1]$ for all edge typesIVSigned edges of the BMC graph
$w(t) = w_0 \cdot e^{-\lambda_{sign(w_0)} \cdot t}$, $\lambda_{neg} < \lambda_{pos}$IVAsymmetric decay (negativity bias)
$Ambivalence(m) = \sqrt{\frac{1}{\|N(m)\|}\sum_{j \in N(m)} (w_{mj} - \bar{w}_m)^2}$IVAmbivalence metric

SEEKING Metasystem and BLEND

FormulaPartPurpose
$a_{SEEK}(t) = T_{SEEK} \cdot a_{SEEK}^{base}(t) + \sum_{s \neq SEEK} \alpha_s \cdot a_s(t)$IVSEEKING as metasystem
BLEND: recombination of components from different clusters (step 3 of consolidation cycle)IVMeme synthesis during sleep

Differentiated Storage

FormulaPartPurpose
$Fidelity(m, t) = \frac{k_m^{\gamma}}{k_{max}^{\gamma}} \cdot e^{-\lambda_f (t - t_{last})} \cdot (1 - e^{-\beta \cdot age})$IVMeme storage completeness function
$\frac{d(Fidelity)}{dt} = \rho \cdot (1 - Fidelity) \cdot exposure(t)$IVReactivation dynamics
$\lambda_{ij} = \lambda_0 \cdot \frac{1}{1 + \alpha \cdot C(i) \cdot C(j)}$IVDifferential connection decay

Appendix B. Glossary

TermDefinition
BMC (Biomemetic Complex)System $(G, M, I, S)$: genetic layer, memetic layer, interface, substrate
Utility nodeNode in the BMC graph representing a genetic program (fixed, with base activation)
Memetic nodeNode in the BMC graph representing a meme (dynamic)
BalanceRatio of memetic to genetic layer activation: $A_{PFC}/A_{limbic}$
Interface (I)Mechanisms of interaction between G and M: redirection, suppression, interpretation
RedirectionMechanism linking the output of a genetic program to an alternative goal
SuppressionMechanism for inhibiting a genetic program (depletable)
InterpretationMechanism for changing the meaning of a signal from a genetic program
Critical periodTime window of heightened susceptibility to certain meme types
Cultural configurationCulture-specific tuning of BMC parameters
Baldwin effectMechanism for accelerating genetic evolution through learning
Transgenerational effectTransmission of epigenetic changes to offspring
Fidelity (storage completeness)Measure of meme preservation: from 0 (trace) to 1 (full)
Full storageFidelity > 0.7 mode: core + all connections + details
Skeletal storageFidelity 0.3–0.7 mode: core + primary connections (no details)
Trace storageFidelity < 0.3 mode: only core or fragment
Meme core (skeleton)Minimal central meme structure that persists longest
ReactivationRestoration of meme Fidelity upon re-exposure
Recombination (BLEND)Synthesis of a new meme by combining elements from different clusters; step 3 of consolidation cycle (REM sleep)
Three-level bindingHierarchy of meme binding to emotional systems: primary (unconditional), secondary (conditioned), tertiary (cognitive). Per Panksepp & Biven (2012)
SEEKING (metasystem)Dopamine system recruited by all other 6 Panksepp systems; “currency of attention”
DISGUST (I-layer)Not an 8th Panksepp system but an interface mechanism: a disgust genetic program recruited by the memetic layer for marking “foreign” memes
Connection/edgeEdge between BMC graph elements. Has weight $w \in [-1, +1]$ and decay rate $\lambda$. Neural analog: ensemble overlap (shared neurons)
HubA role, not a level: an element with centrality significantly exceeding the average. “Hub” = meme-hub (by default)
Meme-typeAbstract cultural pattern (analog of genotype)
Meme-instanceConcrete neural realization of a meme in one BMC (analog of phenotype)
Negative weight ($w < 0$)Inhibitory connection; when $w < -\theta$ the meme is actively rejected by the memeplex
AntibodyMeme with high Fidelity and negative connection: a well-studied “enemy” enabling rapid threat recognition

Appendix C. References

Evolution and Coevolution

  • Baldwin, J.M. (1896). A new factor in evolution. The American Naturalist, 30(354), 441-451.
  • Blackmore, S. (1999). The Meme Machine. Oxford University Press.
  • Dawkins, R. (1976). The Selfish Gene. Oxford University Press.
  • Deacon, T.W. (1997). The Symbolic Species. W.W. Norton.
  • Richerson, P.J., & Boyd, R. (2005). Not by Genes Alone. University of Chicago Press.

Neurobiology

  • Arnsten, A.F. (2009). Stress signalling pathways that impair prefrontal cortex structure and function. Nature Reviews Neuroscience, 10(6), 410-422.
  • Damasio, A. (1994). Descartes’ Error. Putnam.
  • Gogtay, N., et al. (2004). Dynamic mapping of human cortical development during childhood through early adulthood. PNAS, 101(21), 8174-8179.
  • Miller, E.K., & Cohen, J.D. (2001). An integrative theory of prefrontal cortex function. Annual Review of Neuroscience, 24, 167-202.

Epigenetics

  • Meaney, M.J. (2010). Epigenetics and the biological definition of gene x environment interactions. Child Development, 81(1), 41-79.
  • Yehuda, R., et al. (2016). Holocaust exposure induced intergenerational effects on FKBP5 methylation. Biological Psychiatry, 80(5), 372-380.

Cross-Cultural Psychology

  • Cohen, D., et al. (1996). Insult, aggression, and the southern culture of honor. Journal of Personality and Social Psychology, 70(5), 945-960.
  • Hofstede, G. (2001). Culture’s Consequences. 2nd ed. Sage Publications.
  • Nisbett, R.E., & Cohen, D. (1996). Culture of Honor. Westview Press.

Psychopathology

  • Baumeister, R.F., et al. (2007). The strength model of self-control. Current Directions in Psychological Science, 16(6), 351-355.
  • Koob, G.F., & Volkow, N.D. (2016). Neurobiology of addiction: a neurocircuitry analysis. The Lancet Psychiatry, 3(8), 760-773.

Affective Neuroscience and Emotions

  • Panksepp, J. (2011). The basic emotional circuits of mammalian brains: Do animals have affective lives? Neuroscience & Biobehavioral Reviews, 35(9), 1791-1804.
  • Panksepp, J., & Biven, L. (2012). The Archaeology of Mind: Neuroevolutionary Origins of Human Emotions. W.W. Norton.
  • Haidt, J. (2001). The emotional dog and its rational tail: A social intuitionist approach to moral judgment. Psychological Review, 108(4), 814-834.
  • Rozin, P., Haidt, J., & McCauley, C.R. (2008). Disgust. In M. Lewis, J.M. Haviland-Jones & L.F. Barrett (Eds.), Handbook of Emotions (3rd ed., pp. 757-776). Guilford Press.

Meme Synthesis and Sleep

  • Fauconnier, G., & Turner, M. (2002). The Way We Think: Conceptual Blending and the Mind’s Hidden Complexities. Basic Books.
  • Wagner, U., Gais, S., Haider, H., Verleger, R., & Born, J. (2004). Sleep inspires insight. Nature, 427(6972), 352-355.
  • Lewis, P.A., & Durrant, S.J. (2011). Overlapping memory replay during sleep builds cognitive schemata. Trends in Cognitive Sciences, 15(8), 343-351.

Negative Weights and Structural Balance

  • Baumeister, R.F., Bratslavsky, E., Finkenauer, C., & Vohs, K.D. (2001). Bad is stronger than good. Review of General Psychology, 5(4), 323-370.
  • Heider, F. (1946). Attitudes and cognitive organization. The Journal of Psychology, 21(1), 107-112.
  • Davis, J.A. (1967). Clustering and structural balance in graphs. Human Relations, 20(2), 181-187.
  • Hovland, C.I., Lumsdaine, A.A., & Sheffield, F.D. (1949). Experiments on Mass Communication. Princeton University Press.

Network Science

  • Barabasi, A.-L. (2016). Network Science. Cambridge University Press.
  • Newman, M.E.J. (2018). Networks: An Introduction. 2nd ed. Oxford University Press.

Appendix D. Hypothetical Mathematical Formalization

Status: This formalization is hypothetical. Parameters are not empirically calibrated. It is presented as a possible direction for future research, not as a validated model.

Lotka-Volterra Competition Model

The classical two-population competition model for a shared resource can be adapted to describe the competition between genetic ($A_g$) and memetic ($A_m$) activation:

$$\frac{dA_m}{dt} = r_m A_m \left(1 - \frac{A_m + \alpha_{gm} A_g}{K_m}\right)$$ $$\frac{dA_g}{dt} = r_g A_g \left(1 - \frac{A_g + \alpha_{mg} A_m}{K_g}\right) + S_g(t)$$

Parameters:

  • $A_m$, $A_g$ — memetic and genetic layer activations
  • $r_m$, $r_g$ — activation growth rates
  • $K_m$, $K_g$ — capacities (maximum activation)
  • $\alpha_{gm}$, $\alpha_{mg}$ — competition coefficients
  • $S_g(t)$ — external stimuli for genetic programs

Possible equilibria:

  • Meme dominance ($A_m \approx K_m$, $A_g \approx 0$)
  • Gene dominance ($A_m \approx 0$, $A_g \approx K_g$)
  • Coexistence ($A_m > 0$, $A_g > 0$)
  • Bistability (outcome depends on initial conditions)

What Is Needed for Validation

  1. Operationalization of variables: How to measure $A_m$ and $A_g$? Possible proxies: PFC activity (fMRI), cortisol levels, behavioral markers.

  2. Parameter calibration: Experiments with controlled factor changes (hunger, stress, meditation) and measurement of behavior/neuroactivity changes.

  3. Prediction testing: The model predicts bifurcation points — sharp regime transitions. This can be tested.

Literature on Dynamic Models in Psychology

  • Guastello, S.J., et al. (2009). Chaos and Complexity in Psychology. Cambridge University Press.
  • van Geert, P. (1994). Dynamic Systems of Development. Harvester Wheatsheaf.
  • Warren, K., et al. (2003). Nonlinear dynamics in psychology. Nonlinear Dynamics, Psychology, and Life Sciences.

Document created as the theoretical foundation of the MEMETICS project. For AGI application, see AGI Foundations.