AI 中文总结
基于热罗奇将系统从视界附近落入黑洞的过程，在广义不确定性原理下研究变形对（3 + 1）和（2 + 1）维贝肯斯坦熵界的影响，半经典处理表明正负变形对熵界有不同作用。
AI 中文摘要
基于热罗奇从视界附近将一个系统掉入黑洞的过程，我们在本文中研究了在广义不确定性原理（GUP）的背景下，变形对（3 + 1）和（2 + 1）维的贝肯斯坦熵界的影响。在提供一个用于给出跨维度熵的上限的连贯框架时，我们在半经典处理框架中表明，虽然负的GUP变形会导致该界的普遍松弛，但正变形会使其收紧。我们的结果可以被解释为对近视界红移的普朗克尺度修正的一种响应。
英文摘要
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.
CommentsVersion accepted in PLB
Journal refPhys. Lett. B880 (2026) 140868
