Bekenstein bound and uncertainty relations
Bekenstein bound and uncertainty relations
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贝肯斯坦约束和不确定性关系
DOI：
10.1016/j.physletb.2021.136818
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Fabio Scardigli
中科院分区：
文献类型：
--
作者：
Luca Buoninfante;Giuseppe Gaetano Luciano;Luciano Petruzziello;Fabio Scardigli
普朗克常数的非零值导致了量子领域中必须满足的几个不等式的出现，其中最突出的是海森堡测不准原理。在这些不等式中，贝肯斯坦界提供了一个对给定大小和总能量的定域量子系统所能包含的熵的普遍限制。在这封信中，我们将探讨如何贝肯斯坦界的影响时，海森堡不确定性关系变形，以适应引力效应接近普朗克尺度（广义不确定性原理）。通过诉诸一般的热力学参数，并在政权的均分定理仍然成立，我们以这种方式得出一个“广义贝肯斯坦界”。这一结果的物理意义进行了讨论的变形参数的正值和负值的情况下。
The non–zero value of Planck constanthunderlies the emergence of several inequalities that must be satisfied in the quantum realm, the most prominent one being Heisenberg Uncertainty Principle. Among these inequalities, Bekenstein bound provides a universal limit on the entropy that can be contained in a localized quantum system of given size and total energy. In this Letter, we explore how Bekenstein bound is affected when Heisenberg uncertainty relation is deformed so as to accommodate gravitational effects close to Planck scale (Generalized Uncertainty Principle). By resorting to general thermodynamic arguments, and in regimes where the equipartition theorem still holds, we derive in this way a “generalized Bekenstein bound”. Physical implications of this result are discussed for both cases of positive and negative values of the deformation parameter.