The Rosetta Stone of Quantum Gravity: Unifying Black Hole Thermodynamics and Dismantling the AMPS Firewall via Tri-Scale Protocol Handover

Abstract

This culminating manuscript presents the final mathematical synthesis of the Tri-Scale Informational Topology, unifying the macroscopic thermodynamic track (Cosmology, Expansion, Arrow of Time) with the microscopic quantum track (Particles, LQG, String Theory) into a single, scale-invariant geometric isomorphism. Key Breakthroughs: The Scale-Invariant Isomorphism: Formulates the unified boundary equation demonstrating that the macroscopic thermodynamic expansion of the Hubble horizon and the microscopic entanglement of quantum gravity are governed by the exact same continuous physical law. Holographic Unification: Proves that standard General Relativity and the Standard Model of particle physics are low-energy approximations of a singular, holographic information channel bounded by the Planck scale and the Kodama horizon. Final Predictive Framework: Summarizes the complete matrix of empirically testable predictions established across the series, offering a comprehensive, dark-sector-free paradigm for 21st-century theoretical physics. By formally bridging the boundaries of the universe to the boundaries of the quantum vacuum, this work concludes the theoretical architecture, offering a strictly deterministic, bounded, and testable ontology for the cosmos.