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arXiv · 2607.04905

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

Bijan Bagchi·Akshat Pandey·Parmest Roy·Sauvik Sen
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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.

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Bijan Bagchi, Akshat Pandey, Parmest Roy, Sauvik Sen. 2026-07-06. Entropy bounds, Geroch process, and the sign of deformation parameter. https://arxiv.org/abs/2607.04905

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