Black Hole Final States and the Cosmic Cycle: Fermi-Bose Phase Transition in Discrete Spacetime and the Rebirth of the Universe

This paper proposes a discrete spacetime framework in which fermion capacity limits trigger a first-order phase transition from matter to pure radiation during black hole collapse. The corrected critical mass is M_crit ~ 10^1 kg, far below any astrophysical black hole mass, making the transition inevitable. The resulting stress-energy discontinuity may quantum-degrade the horizon, allowing energy escape and initiating a new cosmic cycle. The framework is driven entirely by three physical axioms, introduces no new entities, and provides testable predictions including relic gravitational waves and CMB anomalies.