ADNΣ — The Mathematical Genome for Emergent Neural Intelligence

In LSARN, life is not scripted — it’s encoded. At the core of each agent resides ADNΣ (Sigma DNA), a fully procedural genome that defines not just appearance but cognition, memory, emotion, and behavior potential.

What ADNΣ does

  • Encodes morphology: size, mass, symmetry, coloration
  • Encodes personality attributes: curiosity, sociability, emotional sensitivity, circadian traits
  • Defines vocal identity and species constraints
  • Maintains lineage hashes for mutation tracking

Neurogenesis & Mutation

  • Brain weights are generated deterministically:
    w_i = base_i + sin(k·π·i + φ) × mutationRate
  • This avoids purely random initialization and ensures inherited neural patterns with variation
  • Agents’ brains are modular (2–7 sub‐brains) for specialized functions (vision, memory, motor control, emotion)

Inherited Symbolic Memory

  • Agents carry episodic memory fragments across generations:
    • symbolCode (ushort)
    • strength (float)
  • Limited buffer ensures Darwinian selection of memory among lineages

Visual Biocode Encoding

  • The entire ADNΣ is losslessly encoded into a PNG texture
  • RGBA pixels carry genome data
  • The texture can be decoded back into a full neural agent
  • Enables portability, archival, visualization

Emergence, not Instruction

  • No hardcoded behaviors
  • Agents act via:
     • ADNΣ → neural networks
     • Sensory input (raycasts, collision, sound)
     • Dopaminergic reward modulation
     • Emotional feedback & memory consolidation
  • The result: adaptive, lifelike behavior with unpredictability

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