Geometric and Biological Spacetimes: A Comprehensive Synthesis of Archenteric Topologies, G2-Manifolds, and Quantum Emulation
The persistent incompatibility between the deterministic, continuous manifolds of General Relativity and the non-local, probabilistic framework of Quantum Mechanics has long culminated in the black hole information paradox and the Einstein-Podolsky-Rosen (EPR) paradox. This paper presents a comprehensive theoretical synthesis that resolves these fundamental impasses by applying arithmetic geometry and higher-dimensional topologies—specifically G2-manifolds—across both astrophysical and biological scales. First, we postulate that black hole evaporation is halted by an arithmetic quantization process, resulting in a stable, microscopic remnant that preserves quantum unitarity and prevents the formation of absolute gravitational singularities.