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arXiv · 2607.27388

Area-Information Trade-Offs in Acceleration Radiation from Atoms Falling into Black Holes

Yusef Maleki·Gustavo Valdivia-Mera·Carlos R. Ordonez·Horacio E. Camblong·Marlan O. Scully
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Abstract

We develop a geometric theory of information processing in the Horizon-brightened acceleration radiation (HBAR) channel, in which the radiative horizon-area change provides an entropy budget for the information carried by the radiation field. Building on the quantum-optical description of atom--field interactions near the horizon and the resulting HBAR thermodynamic correspondence, we derive area-cost laws in the near-steady, thermally saturated regime. The accessible classical information and the mutual information generated between the radiation field and its environment are bounded by the associated radiative horizon-area budget. Reliability is incorporated through Fano's inequality, which translates a prescribed decoding error probability into an area requirement. We further derive Fisher-information speed limits that constrain the statistical evolution of the radiation field and place a lower bound on the duration required for correlation generation. Together, these results establish a bits-per-area principle linking black-hole thermodynamics, information geometry, and quantum information in the HBAR framework.

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Yusef Maleki, Gustavo Valdivia-Mera, Carlos R. Ordonez, Horacio E. Camblong, Marlan O. Scully. 2026-07-29. Area-Information Trade-Offs in Acceleration Radiation from Atoms Falling into Black Holes. https://arxiv.org/abs/2607.27388

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