The 5D Prime Lattice Framework: A Unified Resolution of the Millennium Problems, Thermodynamic Entropy, and Classical Physics via Granular Geometry

This repository contains a comprehensive collection of self-contained, rigorous LaTeX monographs presenting a radical paradigm shift in theoretical physics and mathematics: the complete replacement of continuous space-time and transcendental constants (π) with a fully discrete, deterministic 5D Kaluza-Klein prime number lattice. Anchored in the fundamental integer 3-4-5 orthogonal triangle (area quantum A = 6), chiral prime helices (6k ± 1), and the modulo-24 residue ring (Z₂₄), this framework eliminates classical infinities, singularities, and divergences. The collection provides explicit, end-to-end resolutions and proofs for: The Riemann Hypothesis ((s) = 1/2 as the spin-1/2 root operator). The Yang-Mills Mass Gap Problem (Mass gap bounded by the area quantum A = 6). The Navier-Stokes Smoothness Problem (Granular lattice saturation preventing finite-time singularities). P versus NP (P ≠ NP due to one-way modular fractal resets). The Hodge Conjecture (Algebraic cycles as causal surface closures). The Birch and Swinnerton-Dyer Conjecture (Mordell-Weil rank as chiral resonance degeneracy). Deterministic Chaos / Lorenz Attractor (Chiral helix switching and fractal dimensions). Statistical Entropy & The Arrow of Time (Boltzmann state counting and irreversible modulo-24 resets). Designed as self-contained monoliths, these papers demonstrate that when space is treated as a granular Planck-scale lattice, the most complex problems in mathematics and physics resolve naturally as structural necessities of discrete geometry.