IFF - Information First Framework

AbstractWe present the Information-First Framework (IFF), a unified gravitational theory in which information is ontologically primary. A single global object — the relative entropy Γ[ω] = D(ω‖ ω_Ω) defined on the C*-algebra A(M) of a spacetime manifold — generates the complete physical content of the framework. Matter and energy are local deviations of the quantum state from the vacuum; spacetime geometry emerges as the quantum Fisher information metric of the field; the cosmological constant is determined by the global information content of the universe. General relativity and quantum field theory are recovered as limiting cases. Vacuum entanglement — discarded by normal-ordering in standard QFT — is retained as physically real under axiom A2 and drives all genuinely new predictions.The framework contains 12 Genuine Theorems, 5 Mapping Theorems, and 3 Consistency Lemmata. Key results include: TN1 (exact four-term decomposition of global information including vacuum entanglement); T_Lambda (cosmological constant fixed by I_glob · l_P² · Λ = 3π); T_LambdaDyn (Λ decreases over cosmic time; dw/dt > 0); T_Page (Page time at t_Page = 0.646 · t_H, distinct from the standard estimate of 0.5); T_HawkCorr (Hawking two-mode off-diagonal correlator non-zero from t = 0, with dephasing timescale τ₁ = β_H and power-law amplitude A(t) = (1 − t/t_H)^{2/3} — the central near-term falsifiable prediction, testable in Bose-Einstein condensate analogue black hole systems); T_SM (Standard Model gauge coupling constants determined by integer Chern-Simons topological levels, k_GUT = 24); T_Fisher (spacetime metric = quantum Fisher information metric, verified for Schwarzschild). The hard core of the framework — axioms A1, A2, A7 — is nonnegotiable: the programme is falsified if QFT and GR cannot be recovered as limiting cases without modifying these axioms. IFF is not a complete physical theory. It is a framework with a genuine mathematical kernel and experimentally distinguishable predictions.