GIFT : Geometric Information Field Theory

The GIFT (Geometric Information Field Theory) framework explores geometric foundations of fundamental physics parameters through E8×E8 information structures. The framework derives Standard Model and cosmological parameters from four geometric constants {ξ, τ, β₀, δ} without empirical fitting, achieving mean deviation 1.2% across core observables.

Key results include electromagnetic fine structure α⁻¹ = 127.958 (0.78% deviation), Hubble constant H₀ = 72.97 km/s/Mpc (0.096% precision), and exact topological neutrino angle θ₁₃ = π/21. The framework predicts testable new physics: scalar particles at 3.897 GeV and 40.8 GeV, dark matter at 4.77 GeV, and inflation tensor ratio r = 0.0025.

Mathematical foundations employ E8×E8 → AdS₄×K₇ dimensional reduction with correction families F_α ≈ F_β ≈ 99 emerging through exceptional Jordan algebra and ζ-function geometric generation. Computational validation confirms χ²/dof = 0.85 across twelve observables.

The repository provides complete theoretical papers (GIFT-I through IV), technical supplements (mathematical derivations, phenomenological tables, computational implementation), and open-source Python tools for reproducible verification. 

This speculative theoretical research establishes potential connections between geometric information and physical observables, contributing methodological approaches for investigating fundamental parameter origins.

Keywords: Geometric information theory, E8×E8, Standard Model, cosmological tensions, experimental validation