论文标题
Bekenstein从Pauli原则中绑定
Bekenstein bound from the Pauli principle
论文作者
论文摘要
假设黑洞的自由度在数量上是有限的，我们自然而然地在蒸发的第二量化玩具模型中获得了bekenstein Bound的结果，是这些基本自由度的Pauli排斥原则的结果。我们表明，黑洞的纠缠，贝肯斯坦和热力学熵都源于同一方法，基于熵操作员，其结构是高桥和梅泽的热菲场动力学的结构。然后，我们评估冯·诺伊曼黑洞 - 环境熵，并明显获得类似页面的演变。我们最终表明，这是我们模型与量子耗散般的费米基系统之间双重性的结果。
Assuming that the degrees of freedom of a black hole are finite in number and of fermionic nature, we naturally obtain, within a second-quantized toy model of the evaporation, that the Bekenstein bound is a consequence of the Pauli exclusion principle for these fundamental degrees of freedom. We show that entanglement, Bekenstein and thermodynamic entropies of the black hole all stem from the same approach, based on the entropy operator whose structure is the one typical of Takahashi and Umezawa's Thermofield Dynamics. We then evaluate the von Neumann black hole--environment entropy and noticeably obtain a Page-like evolution. We finally show that this is a consequence of a duality between our model and a quantum dissipative-like fermionic system.
