[03]Black Hole Information Dynamics based on Geometric Decoupling: Scrambling, Mutual Information, and Quantum Decoding

Wenjun Luo

Published Oct 22, 2026• 0 citations

Abstract

The core of the black hole information paradox is whether information falling into the horizon is completely lost during Hawking radiation. Based on connectivity engineering, this paper constructs a one-dimensional spin network with an effective horizon structure. We divide the system into a black hole interior (A) and exterior radiation (B), introducing a cross-horizon tunneling coupling ε. Numerical simulations show that the fidelity of the initial state in region A decays rapidly and plateaus, exhibiting a local information loss illusion; however, the quantum mutual information between regions A and B increases significantly. Furthermore, decoding operations based on the Hayden-Preskill protocol elevate the recovery fidelity to above 0.7 (far exceeding the random baseline), and the maximum entanglement capacity approaches the theoretical maximum 2 ln dim(A). This model requires no gravitational degrees of freedom and relies purely on many-body unitary evolution, providing a minimal deterministic dynamical example for the microscopic implementation of information conservation in Hawking radiation.

DOI: 10.5281/zenodo.23567513

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