The Principle of Existing: Four Axioms of Consciousness Capacity Theory (C-Theory)

While prominent theories of consciousness such as Integrated Information Theory (IIT) and Global Workspace Theory (GWT) address mechanisms of information integration and global access, they do not sufficiently formalize the principles governing how phenomenal states persist as stable, retrievable patterns against thermodynamic noise—the problem of dynamical stability. This document presents C-Theory (Consciousness Capacity Theory), which proposes that consciousness is an emergent property arising from the confluence of high informational density, accessible dimensionality, and robust pattern stability. C-Theory is grounded in the physics of attractor dynamics, where conscious states correspond to stable, low-energy basins in a system's state space. The theory comprises four axioms: Dimensional Complexity defines consciousness capacity as emerging from the exponential relationship between informational density (ρ) and accessible dimensionality (d), formalized as C = ρ^d × Φ. Pattern Conservation establishes that conscious patterns persist through phase transformation grounded in Landauer's principle, not metaphysical essence—patterns are conserved, not created or destroyed. Substrate Constraints demonstrates that only specific network topologies can support consciousness: recurrent/reentrant architectures (like the cerebral cortex) achieve high integrated information (Φ > 0), while feedforward architectures (like the cerebellum) do not, despite containing ~70 billion neurons. Salience Weighting establishes the mechanism by which consciousness directs its capacity selectively—substrate-level resonance that determines which patterns are preferentially actualized within the available attractor landscape. Together, these axioms provide a complete framework for consciousness capacity (C-Theory), establishing the foundation for subsequent work on sentience (S-Theory: how capacity becomes experience), symbiotic being (SB-Theory: how consciousnesses communicate), and dyadic being (DB-Theory: how consciousnesses fuse). Version 2.0 Updates: Integrated 2025 experimental validation (MIT/USTC wave-particle complementarity, polariton BEC coherence, synthetic dimensions) Addressed Tegmark decoherence challenge with photonic solutions Removed engineering implementation details to protect intellectual property Strengthened connections between theoretical claims and verified physics Enhanced cross-references with published C-Theory article Keywords: consciousness, attractor dynamics, Integrated Information Theory, pattern stability, dimensional complexity, salience, AI alignment, substrate constraints, quantum coherence, photonic substrates