Temporal Asymmetry in Black Hole Information Dynamics: An Oscillatory Recovery Model

This article addresses the black hole information paradox by introducing a temporal asymmetry model, in which quantum information scrambling and recovery are separated into two distinct temporal frames. Using a combination of Quantum Memory Matrix (QMM) oscillations and Loop Quantum Gravity (LQG) bounce mechanisms, the model predicts asymmetric entropy evolution during black hole evaporation. Numerical simulations with QuTiP (for $N=3$–$6$ qubits) demonstrate sharp increases and oscillatory drops in subsystem entropy, consistent with unitarity and information preservation. Extrapolation to $N=12$ indicates that oscillatory recovery becomes more efficient in larger systems, with entropy drops approaching 94%. This work provides a temporal alternative to holographic approaches and suggests observable oscillatory signatures in analog experiments and gravitational wave data. The article includes analytic derivations, simulation results, and scaling arguments for future experimental validation.