Reconciling Information-Theoretic Approaches to Black Hole Thermodynamics: From Entangled Hawking Radiation to Entropy Mechanics

Two theoretical frameworks addressing black hole information preservation appear fundamentally contradictory: Denis (2023) requires Hawking radiation for information extraction, while my Quantum-Thermodynamic Entropy Partition (QTEP) framework demonstrates thermal effects emerge from entropy gradients without particle emission. I argue these frameworks are reconcilable. Denis’s entropy accounting remains mathematically valid; what differs is the physical carrier. Laboratory analogs using Bose-Einstein condensates cannot distinguish between Hawking’s pair creation and QTEP’s thermodynamic gradients-both produce thermal spectra. However, QTEPpredicts discrete transitions at integer multiples of ln(2), while Hawking radiation predicts continuous emission. ATLAS data supports discrete structure. Denis’s entropy chain remains valid when ”entangled Hawking radiation” is reinterpreted as de-coherent entropy at holographic boundaries.