From Big Bang to Heat Death: A Closed-Loop Dynamics Based on D8 Discrete Geometry and DVRT Relaxation Scalar Field

We present a self-consistent conjectural framework for cosmology based on D8 half-cube discrete geometry and a vacuum relaxation scalar field (DVRT). Three axioms underpin the formalism: vacuum is a physical entity with intrinsic geometric structure; all matter fields are local topological excitations of vacuum geometry; gravity is the macroscopic restoring force of excitations relaxing toward the flat vacuum ground state. We provide a complete projection compactification scheme from eight-dimensional discrete geometry to four-dimensional Lorentzian spacetime, establishing a self-consistent mapping from discrete spectral data to effective field theory couplings. The full action principle, rigorously derived field equations, FLRW cosmological dynamics, and linear CMB perturbation spectra are presented. Numerical solutions for photon orbits in static spherically symmetric spacetimes yield quantitative predictions for black hole shadow radii. A geometric memory-based entropy reset mechanism resolves the classic entropy accumulation paradox of cyclic cosmology. All dimensionless parameters are derived purely from D8 geometry with no observational fitting. Seven quantitatively falsifiable predictions are specified with explicit thresholds. The framework is compared systematically with GR, LambdaCDM, f(R) gravity, chameleon theories, and DGP braneworld models. A clear distinction is maintained between rigorously established results and postulated mappings awaiting future derivation. ```