From Big Bounce to Geometric Rebounce and Fusion Fundamentals Under MMA-DMF Framework

We present the unified physical consolidation of the MMA-DMF framework, a deterministic cosmology anchored by a single vacuum rigidity scale, M=100 TeVM = 100\ TeVM=100 TeV. Unlike standard ΛΛCDM, which relies on fitted dark-sector parameters, this framework proposes a fully constrained geometric model operating in a locked-parameter regime. We demonstrate that the cosmic cycle—from a non-singular Big Bounce to a future Geometric Rebounce—is thermodynamically closed by the Fluctuation–Dissipation Theorem (FDT). Without fine-tuning, the model derives the primordial Early-X injection amplitude (fpeak≈0. 3620f₏₄₀₊ 0. 3620fpeak≈0. 3620), resolving the Hubble tension at H0≈72. 1 km s−1 Mpc−1H₀ 72. 1\ km\, s^-1\, Mpc^{-1}H0≈72. 1 kms−1Mpc−1 and the S8S₈S8 tension (S8≈0. 772S₈ 0. 772S8≈0. 772) via geometric screening. We further report the zero-parameter convergence of the proton mass (mp=938. 27 MeVmₚ = 938. 27\ MeVmp=938. 27 MeV) and provide falsifiable predictions for gravitational-wave echoes (Δtecho=36. 1 ms t₄₂₇₎ = 36. 1\ msΔtecho=36. 1 ms for GW150914) and GNOME network transients. The theoretical architecture is declared closed and ready for Phase 10 observational validation.