Coherence-Regulated Black Hole Entropy: Fractal Information Storage and Dark Coherence Corrections

This publication introduces a new theoretical framework for black hole entropy, extending beyond the classical Bekenstein-Hawking area law by integrating coherence physics, dark-sector interactions, and fractal entropy scaling. The Coherence-Dark Coherence Model proposes that black hole entropy is not confined to the event horizon but is distributed recursively across internal coherence layers, ensuring information conservation and singularity avoidance. Key concepts of this model include: Fractal Entropy Distribution – Entropy is stored across recursive coherence eigenstates, leading to a log-periodic correction to the classical entropy formula. Dark SpaceON and Dark Cronon Contributions – Dark coherence excitations modulate entropy retention, regulating energy flow and suppressing Hawking radiation rates. Coherence-Regulated Hawking Radiation – Black holes emit radiation non-thermally, carrying coherence-encoded information, resolving the information paradox. Modified Evaporation Dynamics – Coherence-regulated black holes evaporate more slowly, aligning with observations of long-lived high-mass black holes. Gravitational Wave Echoes as Entropy Signatures – Post-merger echo-like signals are interpreted as entropy-preserving coherence cycles, observable in LIGO/Virgo data. The model provides testable predictions for entropy deviations in *supermassive black holes (e.g., M87, NGC 4889)**, potential coherence signatures in Hawking radiation, and gravitational wave entropy modulation. It offers a unified framework connecting thermodynamics, quantum information theory, and coherence physics, challenging conventional views on black hole entropy.