Entropy bounds, Geroch process, and the sign of deformation parameter

Abstract:Based on Geroch's process of dropping a system into a black hole from the vicinity of the horizon, we investigate in this paper the influence of deformation on the Bekenstein entropy bound both for (3+1) and (2+1) dimensions in the context of a generalized uncertainty principle (GUP). While providing a coherent framework that sets an upper limit on the entropy across dimensions we show, within a semiclassical treatment, that while a negative GUP deformation yields a universal relaxation of the bound, a positive deformation tightens it. Our results may be interpreted as a response to Planck-scale modifications of the near-horizon redshift.

arXiv:2607.04905 [hep-th]

(or arXiv:2607.04905v3 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2607.04905 Focus to learn more arXiv-issued DOI via DataCite

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