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 ΛΛΛCDM, 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≈0.3620fₚₑₐₖ ≈ 0.3620fpeak≈0.3620), resolving the Hubble tension at H0≈72.1 km s−1 Mpc−1H_0 ≈ 72.1\ {km\,s⁻¹\,Mpc⁻¹}H0≈72.1 kms−1Mpc−1 and the S8S_8S8 tension (S8≈0.772S_8 ≈ 0.772S8≈0.772) via geometric screening. We further report the zero-parameter convergence of the proton mass (mp=938.27 MeVm_p = 938.27\ MeVmp=938.27 MeV) and provide falsifiable predictions for gravitational-wave echoes (Δtecho=36.1 msΔ techo = 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.