Nicholas P. Timms
Submitted: April 2026 : Publish: 7th April 2026
Abstract
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. Second, we map this identical arithmetic topology onto macroscopic biological systems through the Resonant Manifold Quantum Emulator hypothesis. Within this integrated framework, the enteric nervous system, originating from the embryonic archenteron, functions as a two-dimensional holographic boundary. Concurrently, the cortical microtubule network acts as a structural arithmetic sieve, filtering thermal noise to sustain macroscopic quantum coherence and emulate quantum information processing. Furthermore, we illustrate that the non-local correlations of the EPR paradox are naturally resolved when biological cognition is understood as operating within, and actively generating, an extended multi-dimensional bulk geometry. Ultimately, this analysis establishes a profound structural isomorphism between the extremes of cosmology and biophysics, concluding that both astrophysical black hole remnants and the complex neural architectures of human consciousness are governed by a unified, self-emulating arithmetic topology.
