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    Isentropic process of Reissner-Nordström black holes: A possible excess of the entropy bound via a nonperturbative channel

    Robert B. Mann1,2,3,* and Dong-han Yeom1,4,5,6,†

    • *Contact author: rbmann@uwaterloo.ca
    • †Contact author: innocent.yeom@gmail.com

    Phys. Rev. D 112, 064042 – Published 15 September, 2025

    DOI: https://doi.org/10.1103/t9px-txyf

    Abstract

    We study the implications of an isentropic processes applied to a Reissner-Nordström black hole. This process is possible if a black hole absorbs a particle with a specific ratio of energy and charge. We show that such an absorption process is not classically allowed, not only in Einstein gravity but also in several modified gravity theories, indicating that this prohibition is quite generic. However, an isentropic absorption process is quantum mechanically allowed: the particle can penetrate the potential barrier on the event horizon. We compute the probability of this absorption process and compare it to that of semiclassical effects. Nonperturbatively, if this process is accumulated, it is possible that the entanglement entropy can be greater than its Bekenstein-Hawking entropy and violate the entropy-bound relation.

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