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Equivalence principle and HBAR entropy of an atom falling into a quantum corrected black hole

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arxiv 2202.00671 v2 pith:P6WCTOU4 submitted 2022-02-01 hep-th gr-qcquant-ph

classification hep-thgr-qcquant-ph
keywords blackholeatomentropyquantumcorrectedequivalencehbar
verification ladder T0 review T1 audit T2 compute T3 formal
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In this work, we have investigated the phenomenon of acceleration radiation exhibited by an atom falling into a quantum corrected Schwarzschild black hole. We observe that the excitation-probability of the atom with simultaneous emission of a photon satisfies the equivalence principle when we compare it to the excitation probability of a mirror accelerating with respect to an atom. We also demonstrate the validity of the equivalence principle for a generic black hole geometry. Then we calculate the horizon brightened acceleration radiation (HBAR) entropy for this quantum corrected black hole geometry. We observed that the HBAR entropy has the form identical to that of Bekenstein-Hawking black hole entropy along with universal quantum gravity corrections.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Ringdown modulation of acceleration radiation in the Schwarzschild background

    gr-qc 2025-11 reject novelty 5.0 of 10

    Near a Schwarzschild horizon, a quadrupolar quasinormal ringdown is claimed to modulate the detector detailed-balance exponent by a decaying sinusoid at the QNM frequency, at first order in the perturbation amplitude.

  2. Integrals of motion on extremals of the equation Euler-Lagrange

    physics.class-ph 2025-08 unverdicted novelty 4.0 of 10

    The paper claims that Wronskian determinants of closed first-order ODE systems serve as integrals of motion on Euler-Lagrange extremals, constructed via the Jacobi equation.

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