Cosmological-Quantum Renormalization via Entropic Action

We present the Cosmological-Quantum Renormalization via Entropic Action (COREA) framework, also designated Entropic Field Unification (EFU), a thermodynamic unification scheme in which all fundamental physics emerges from the vanishing of free energy at every quantum level. The single axiom F_n = E_n - T_n * S_n = 0, combined with the master scaling constant Q = 1 + ln(2)/3 = 1.2310490602, yields the fine structure constant alpha = 1/137.036, the hydrogen spectrum, Standard Model coupling constants, renormalization group flow from the electron mass to the Planck scale, black hole thermodynamics, gravitational wave structure, and the dark energy fraction Omega_Lambda = ln(2). All 42 cells of the Grand Puzzle Matrix are filled. Seven independent tests pass. Three formula errors identified in a prior version have been corrected. The framework achieves 100% paper completion with observational validation ongoing.
Keywords: entropic gravity, free energy vanishing, fine structure constant, renormalization group, black hole thermodynamics, dark energy, unified field theory, COREA, EFU