Beyond E = mc² : The Dynamic Universe Matrix and Quantum-Foam Renormalization

his refined edition of Beyond E = mc² presents the final, expanded formulation of the Dynamic Universe Matrix (DEM) framework, integrating quantum-foam renormalization with contextual entropy dynamics.The model unifies micro-scale quantum-foam fluctuations and macro-scale gravitational equilibria through two key contextual parameters — the deviation metric (ΔQ) and the entropic-tension coefficient (Σ) — which together form a parameter-free mechanism reproducing both galactic-rotation and cosmic-acceleration phenomena. This Post-Review Edition incorporates the full set of revisions recommended by reviewers: explicit derivation of the contextual-energy relation ΔQ=2ln⁡(Vobs/Vbar)\Delta Q = 2\ln(V_{obs}/V_{bar})ΔQ=2ln(Vobs/Vbar), quantitative cosmological tests (CMB anisotropy damping and time-variant lensing), a comparative table with ΛCDM and MOND, and complete methodological transparency across appendices A–C. DEM establishes a dynamic cosmological equilibrium: ρΛDEM=c2H8πG(ΔQΣ)\rho_{\Lambda}^{DEM} = \frac{c^{2}H}{8\pi G}(\Delta Q\Sigma)ρΛDEM=8πGc2H(ΔQΣ) eliminating the need for both dark matter and dark energy.The results achieve an empirical correlation of R² ≈ 0.994 with SPARC galactic-rotation data, while predicting measurable deviations in CMB spectra (1–2 %) and lensing drift (Δθ ≈ 10⁻⁵ rad). The work demonstrates that continuous quantum-foam renewal drives both gravitational and cosmological dynamics, offering a testable and self-consistent alternative to the ΛCDM paradigm.