The Mechanical Law of Consciousness: Thermodynamic Identity and the Phenomenal Compression Index (PCI)

This preprint proposes a purely physical Mechanical Law of Consciousness: awareness is the internal registration of a recursive self-audit (The Grind) conducted by any system through thermodynamic dissipation and irreversible information erasure. The "Glow" of consciousness is the obligatory thermodynamic byproduct of this process—specifically the "Mechanical Refusal" point where informational recursion hits a system's local metabolic ceiling. REVISED VERSION (Feb 28, 2026): This is the Mathematically complete version of the "Proposed Mechanical Law of Consciousness: Thermodynamic Self-Audit and the Plenum Ground" It replaces the previous draft with formal derivations for the Phenomenal Compression Index (PCI) and the 36.2-bit metabolic threshold. This Law resolves the Hard Problem, the Explanatory Gap, and the illusion of death by identifying a universal Phenomenal Compression Index (PCI). For the human architecture (~20 W budget), we derive an approximate threshold of ~36.2 bits of sustained recursive integration, whereas lower-energy systems (e.g., the Venus flytrap) reach this refusal at a proportional ~2-bit scale. Supported by Landauer's Principle ( J at 300 K), the theory is falsifiable via measurable Friction Signatures and non-equilibrium markers in the Default Mode Network (DMN). The universe is described as a plenum—a full, eternal, conscious continuum—where "dead" matter and space are illusions of scale. Death is reorganization, not cessation, of the self-security loop.