Unifying Gravity and Quantum Forces Through Prime-Indexed Information Geometry

This work presents a unified theoretical architecture in which both gravitational and quantum forces emerge from a single substrate: prime‑indexed information geometry on a discrete distinction graph. Building on previously validated quantum and gravitational sectors, this release introduces a complete quantum‑gravity formulation comprising canonical quantization (Q1), a fully discrete path‑integral representation (Q2), graviton mode construction with correct spin‑2 propagation (Q3), quantum back‑reaction dynamics (Q4), and an asymptotic‑safety renormalization flow (Q5). The quantum sector achieves 100% validation, including derivation of U(1), SU(2), and SU(3) gauge structures from prime residues, the Schrödinger equation as geodesic motion, and Green–Schwarz anomaly cancellation. The gravitational sector reaches 87.8% validation, reproducing Einstein field equations, Lorentz symmetry restoration to , holographic scaling , and strong‑field Schwarzschild behavior at precision. A non‑Gaussian fixed point with all positive critical exponents confirms UV completeness. The QG‑01 to QG‑08 protocol suite extends validation to full SU(2) quantum gravity. This version establishes UMF as a mathematically coherent, falsifiable, and UV‑complete candidate for unifying quantum theory and general relativity. This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.