Quantum-Gravitational-Informational Theory: A First-Principles Framework for Fundamental Physics

We present a first-principles framework where gravitation, neutrino masses, electroweak correlations, and small cosmological shifts emerge from a single informational constant, α_info = 1/(8π³ lnπ), fixed by a Ward identity that enforces the closure ε = α_info lnπ = (2π)⁻³. The gravitational sector introduces a single spectral constant δ = C_grav/|ln α_info| derived from zeta-function determinants on compact backgrounds, with C_grav = 0.503 ± 0.03 computable from the spin-2 TT, ghost, and trace spectra in the same a₄ scheme used throughout. The framework yields: (i) a derived gravitational fine-structure constant, (ii) a parameter-free electroweak correlation δ(sin²θ_W)/δ(α_em⁻¹) = α_info, (iii) absolute neutrino masses from informational geodesics with fixed winding numbers, and (iv) percent-level cosmological shifts. All claims are falsifiable on realistic timescales: KATRIN and JUNO (2027–2030) will probe the absolute neutrino mass scale; CMB-S4/Euclid/LSST (2030s) will test cosmological corrections; and FCC-ee (2030s–2040s) can resolve the predicted electroweak correlation at high precision. These results indicate that an informational geometric structure suffices to reproduce multiple independent constants of nature, offering a minimal and predictive alternative to existing unification programs.