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Density now measured by information-theoretic bounds, not just counts: Shannon entropy H = -Σ p(x) log₂ p(x) over equation symbol distribution - Higher H = more informational diversity = denser content - RG flow bound: H < ln(2⁸) ≈ 2.08 for 8-strand representation Landauer cost E = N·kT·ln(2) where N = distinct math tokens - Each distinct symbol requires erasing energy - kT = 0.025 eV at 290K → ~0.017 eV per bit Density levels: THERMODYNAMIC_SATURATION: both Shannon + Landauer exceed bounds SHANNON_SATURATED: entropy > rgflow fixed-point LANDAUER_EXPENSIVE: energy cost too high COUNT_EXCEEDED: simple count threshold |
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SilverSight — Language Port
Source of truth: /home/allaun/SilverSight/formal/ (Lean 4)
This directory mirrors the Lean module structure. Each file implements the same theorems/algorithms in this language, providing independent cross-validation across runtimes.
Module map: CoreFormalism/ → formal/CoreFormalism/ (braid, Q16_16, Sidon) SilverSight/ → formal/SilverSight/ (PIST, AVMIsa, RRC) BindingSite/ → formal/BindingSite/ (DNA, hachimoji) PVGS_DQ_Bridge/ → formal/PVGS_DQ_Bridge/ UniversalEncoding/ → formal/UniversalEncoding/ nuvmap/ → python/nuvmap/ (NUVMAP projection)