Observer-Dependent Entropy Retrieval and Time-Adaptive Information Recovery in Black Hole Evolution
Evlondo Cooper · Preprints.org · 2025
Background: The black hole information paradox arises from tension between unitary evolution in quantum mechanics and apparent information loss in semiclassical gravity. Methods: We develop a relativistic framework in which entropy retrieval is an explicit function of an observer’s proper time and trajectory. By defining observer-dependent density matrices and a continuous retrieval law, we derive testable expressions for Rényi entropy and second-order correlation functions. Results: Our model predicts measurable deviations in the entanglement structure of Hawking radiation across observer classes and modifies the Ryu–Takayanagi prescription to include frame-dependent surface contributions. Conclusions: The information paradox resolves as an observer-dependent phenomenon without requiring nonunitary dynamics or exotic physics. These falsifiable signatures can be probed in black hole analog experiments, offering a new pathway toward empirical tests of quantum gravity.