Bekenstein-Hawking Entropy and Reversible Ternary Computation from the Discrete H4 Crystalline Vacuum

The fundamental information capacity and discrete update mechanics of the vacuum are derived using the H4 (600-cell) Cosserat lattice. We geometrically derive the exact Bekenstein-Hawking entropy bound (S = A/4) without thermodynamic renormalization by modeling the macroscopic event horizon as a structural yield point. At this threshold, internal Cosserat microrotations collapse into a binary state, storing exactly one Shannon bit per locked tetrahedral cell. Because a regular tetrahedron is bounded by exactly four triangular faces, the 1/4 ratio emerges as a strict Euclidean identity. Equating the area of the lattice's fundamental triangular face to the Planck area yields a falsifiable prediction for the microscopic lattice edge length: L = l_P * (4/√3)^(1/2) ≈ 1.52 l_P, connecting the electroweak vacuum expectation value to the Planck scale via eight geometric interaction grains (δ^8). Furthermore, we establish the computational architecture of the vacuum as a classical reversible ternary automaton. The D4 triality representations (8v, 8s, 8c) act as a physical trit state-space governed by the S3 outer automorphism group (single-trit gates) and Cosserat kinematic coupling (a two-trit controlled-addition gate). Finally, we demonstrate that the continuous SU(3) gauge symmetry of Quantum Chromodynamics emerges purely as a macroscopic Lattice Gas Automata approximation of ~ 10^20 discrete S3 logic gates, with hadronic color confinement acting as a topological stable fixed point in the reversible computation. Email: h4collaboration@protonmail.com