Cosmological Implications of the Arithmetic Theory of Everything (AToE): Resolving Ten Fundamental Paradoxes

This paper provides a comprehensive theoretical analysis of the ten most pressing questions in modern physical cosmology through the lens of the Arithmetic Theory of Everything (AToE). Moving beyond the probabilistic nature of the CDM model, this work introduces a deterministic, spectral-topological framework that reinterprets physical reality as an emergent projection of a 12-dimensional prime Fock space. Key highlights of this paper include: The Nature of the Dark Sector: Derivation of the global Dark Matter to Baryon ratio as a geometric projection constant and the reinterpretation of Dark Energy as informational expansion pressure. Resolution of the Hubble Tension: An explanation of the expansion rate discrepancy based on the Nyquist-Shannon sampling limits of the vacuum. Early Galaxy Formation: A solution to the JWST "mature galaxy" paradox via instantaneous resonant condensation in a GUE-spaced arithmetic lattice. Baryon Asymmetry: A phase-driven selection mechanism in the non-abelian prime-mode interaction . The 137-Step Lock-in: Replacing scalar-field inflation with a topological resonance synchronization. By mapping cosmological observables directly to the imaginary parts of the Riemann zeta zero, this paper suggests that the laws of physics are not arbitrary but are rooted in the spectral rigidity of prime numbers. It provides the theoretical foundation for subsequent experimental falsification protocols.