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phase-transitions

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Mathematical synthesis framework unifying consciousness theories through phase transitions at brain criticality. Proposes consciousness emerges when C(t) = Φ(t) × R(t) × D(t) exceeds 8.3±0.6 bits. Integrates IIT, GNWT, FEP, and 40+ frameworks as special cases. Validated via Kuramoto simulations (qualitative agreement).

  • Updated Apr 1, 2026
  • Python

This repository contains the official simulation suite for the Curvature Adaptation Hypothesis (CAH), a unified theory of cortical state that bridges cellular-level dendritic gating with macroscopic functional geometry.

  • Updated Apr 5, 2026
  • Python

Investigating the mathematical links between Statistical Mechanics and AI. Phase 1 features a vectorized 2D Ising Model simulation (Metropolis-Hastings) with real-time thermodynamic analysis to demonstrate how local physical interactions drive emergent intelligence.

  • Updated Apr 3, 2026
  • Python

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