论文标题
量子黑洞 - 白孔纠缠状态
Quantum Black hole--White hole entangled states
论文作者
论文摘要
我们研究了施瓦兹柴尔德黑洞的Wheeler-Dewitt方程的量子变形。具体而言，量子变形黑洞是由量子Heisenberg构建的量化模型 - weyl $ u_q（H_4）$组。我们证明事件范围区域和质量是量化，退化和边界的。状态的退化表明纠缠的量子黑洞/白洞状态。因此，量子变形提供了一个新的框架来检查爱因斯坦 - 刺激性虫洞溶液。此外，我们获得了质量，温度和Q形成的量子Schwarzschild黑洞的熵。我们在黑洞/白洞对的质量上找到上限。同样，在量子变形水平上，黑洞的熵包含三个部分：通常的bekenstein-熵熵，对数项和一个通常的黑洞熵。
We investigate the quantum deformation of the Wheeler--DeWitt equation of a Schwarzchild black hole. Specifically, the quantum deformed black hole is a quantized model constructed from the quantum Heisenberg--Weyl $U_q(h_4)$ group. We show that the event horizon area and the mass are quantized, degenerate, and bounded. The degeneracy of states indicates entangled quantum black hole/white hole states. Accordingly, quantum deformation provides a new framework to examine Einstein--Rosen wormhole solutions. Besides, we obtain the mass, the temperature, and the entropy of the q-deformed quantum Schwarzschild black hole. We find an upper bound on the mass of a black hole/white hole pair. Also, at the quantum deformation level, the entropy of the black hole contains three parts: the usual Bekenstein--Hawking entropy, the logarithmic term, and a Cube of usual black hole entropy.
