[03]Black Hole Information Dynamics based on Geometric Decoupling: Scrambling, Mutual Information, and Quantum Decoding
- 1Independent Researcher
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.
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BibTeX
@misc{luo202603black,
title = {{[03]Black Hole Information Dynamics based on Geometric Decoupling: Scrambling, Mutual Information, and Quantum Decoding}},
author = {Wenjun Luo},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23567514},
url = {https://zenodo.org/records/23567514},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - [03]Black Hole Information Dynamics based on Geometric Decoupling: Scrambling, Mutual Information, and Quantum Decoding
AU - Wenjun Luo
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23567514
UR - https://zenodo.org/records/23567514
AB - 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.
ER -