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

We present the third release of the Quantum-Gravitational-Informational (QGI) framework, now extended from analytical derivation to full numerical implementation. Gravitation, neutrino masses, electroweak correlations, and small cosmological shifts emerge from a single informational constant,αinfo=18π3ln⁡π,\alpha_{\mathrm{info}} = \frac{1}{8\pi^{3}\ln\pi},αinfo​=8π3lnπ1​,fixed by a Ward identity enforcing the closure ε = α_info ln π = (2π)⁻³. The gravitational sector introduces a universal spectral constantδ=Cgrav∣ln⁡αinfo∣,Cgrav=0.503±0.03,\delta = \frac{C_{\mathrm{grav}}}{|\ln\alpha_{\mathrm{info}}|}, \quad C_{\mathrm{grav}} = 0.503 \pm 0.03,δ=∣lnαinfo​∣Cgrav​​,Cgrav​=0.503±0.03,computed directly from zeta-function determinants on compact backgrounds (spin-2, ghost, and trace spectra) using the same a₄ scheme applied throughout. The framework reproduces: (i) the 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 {1, 9, 49}, and (iv) percent-level cosmological shifts (δΩ_Λ ≈ 1.6×10⁻⁶, Y_p ≈ 0.2462). All quantities are now computed and verified by open Python code with machine-precision closure of ε = (2π)⁻³ (10⁻¹⁵). The results demonstrate that a minimal informational geometry can reproduce multiple independent constants of nature with zero free parameters, establishing QGI as a predictive and falsifiable unification framework.