Real-Time Entanglement Dynamics and Information Flux Near Black-Hole Horizons

We investigate real-time quantum information flow in the vicinity of black-hole horizons within a finite-capacity spacetime model where local regions act as information registers that unitarily couple to infalling and outgoing fields. Building on previous research that introduced information-preserving spacetime microstructures, we derive and simulate the entanglement dynamics governing horizon-scale information exchange. The resulting channel connects microscopic imprinting and retrieval processes to macroscopic thermodynamic balance, reproducing the Bekenstein–Hawking entropy law while allowing small, unitary corrections that arise from finite information capacity. Exact numerical simulations using minimal tensor-network evolutions reveal Page-curve-like entropy behavior, echo-type modulations in radiation spectra, and mutual-information revivals between early and late emissions. Parameter sweeps confirm that these effects are robust and depend systematically on horizon capacity and retrieval cadence. The results provide a concrete realization of information preservation in gravitational systems and identify observational signatures, including spectral sidebands and delayed correlation peaks, that may serve as experimental tests of finite-capacity models of spacetime in future gravitational-wave observations.