Thermodynamic Coherence and Virial Inversion in Black Hole Evolution

This paper introduces a conceptual framework for black hole thermodynamic coherence, reframing evaporation and mass absorption as inverse virial dynamics. Coherence is defined as the inverse of the entropy–temperature product and shown to scale inversely with mass-energy. Two Python-based simulations were implemented to explore this model. The first simulation tracks black hole evaporation as a coherence ascent, modeling mass loss and contradiction energy absorption using a simplified virial imbalance condition~\cite{VirialSim2025}. The second simulation extends this by incorporating Hawking temperature and entropy, and introduces an entropic penalty mechanism for absorbing highly contradictory matter~\cite{Barton2025b}. This penalty scales with both virial imbalance and coherence, demonstrating reduced tolerance for disorder as structural selectivity increases. Together, these simulations offer a diagnostic lens for horizon dynamics, contradiction resolution, and phase alignment, positioning black holes not as entropy sinks but as coherence-processing regimes.