标题： 非高斯统计中黑洞熵的贝肯斯坦界限 显示英文标题

标题： Bekenstein bound on black hole entropy in non-Gaussian statistics

摘要： 贝肯斯坦界限受到黑洞物理的启发，在广义热力学第二定律的背景下，被引入以将物理系统的熵增长限制到量子水平。 我们首先表明，当施瓦茨希尔德黑洞的熵在非高斯统计巴罗、塔利斯和卡尼亚达基斯中描述时，标准贝肯斯坦界限会被违反，这是由于相关指数$\Delta$、$q$和$\kappa$的存在。 然后，通过将GUP效应加入贝肯斯坦界限，我们发现通过熵指数与GUP参数$\beta$之间可能的联系，所提到的熵背景下广义界限是满足的。 显示英文摘要

摘要： The Bekenstein bound, inspired by the physics of black holes, is introduced to constrain the entropy growth of a physical system down to the quantum level in the context of a generalized second law of thermodynamics. We first show that the standard Bekenstein bound is violated when the entropy of a Schwarzschild black hole is described in non-Gaussian statistics Barrow, Tsallis, and Kaniadakis due to the presence of the related indices $\Delta$, $q$ and $\kappa$, respectively. Then, by adding the GUP effects into the Bekenstein bound, we find that the generalized bound is satisfied in the context of the mentioned entropies through a possible connection between the entropies indices and the GUP parameter $\beta$.