ZQCM Theoretical Finalization (Volume III): Cosmology, Gravity, and Dark Matter

This document ZQCM Theoretical Finalization Volume III V2.1 completes the cosmological, gravitational and dark matter framework built upon Volume I and II. It constructs the C0 dynamical dark energy model with neutrino topological coupling to resolve the \(\sigma_8\) tension, deriving testable \(w_0\), \(w_a\) and structure suppression predictions. Rigorous Coxeter geometric derivations yield fixed 0.97 keV dark matter mass and its portal coupling cross-sections. The C1 theorem mechanically links GUT scale to Planck mass with only −0.25% deviation, while B11 uses Coxeter exponential decay to naturally produce the observed tiny cosmological constant. B13 geometrically maps all three Sakharov conditions to lock baryon asymmetry matching observational data. Spectral path integral measures for fermions and gauge fields are also provided as mathematical foundations. Several cosmological numerical predictions await full CLASS MCMC validation.