弯曲时空异质结构中事件视界的精确耦合。应用于黑洞物理学
Exact Coupling Of Event Horizons In Curved Spacetime Heterostructures. Application To Black-Hole Physics
摘要：
最近我们讨论了弯曲时空中的广义参数化Klein-Gordon方程。我们还讨论了它的推导从几种方法，直接Feynman参数化，态函数熵或等价的信息论方法，和随机微分方程的方法。我们还提出了熵的统计推广到广义熵，导出了特殊的非广延统计参数化Klein-Gordon方程，并讨论了它的非线性FPE代替了复杂的Gibbs-Boltzmann统计熵导出的具有复杂的非线性势或漂移扩散系数的类比.在这篇文章中，我们应用这些先前导出的结果突然耦合弯曲时空异质结构中的量子输运，这里特别适用于黑洞事件视界耦合到正常弯曲时空。导出了耦合自能和Garcia-Molliner表面格林函数，并由此计算了表面积和熵。然后，我们推导了黑洞辐射的非平衡输运方程。我们讨论了虫洞和量子类似物的理论应用。
英文摘要：
Recently we have discussed the generalized parametrized Klein-Gordon equation for curved spacetime. We have also discussed its derivation from several approaches, the direct Feynman parametrization, the state function entropy or equivalently the information theory approach, and the stochastic differential equation approach. We have even suggested a generalization of the statistics of the entropy to the generalized entropies and derived the particular nonextensive statistics parametrized Klein-Gordon equation, and discussed its nonlinear FPE replacement of the complicated Gibbs-Boltzmann statistics entropy derived analog with complicated nonlinear potential or drift and diffusion coefficients. In this article we apply these previously derived results to the quantum transport in abruptly coupled curved space-time heterostructures, applied here specifically to Black-Hole event horizon coupling to normal curved space-time. We derive the coupling self energy, and the Garcia-Molliner surface Green's functions from which we can calculate the surface area and entropy. We then derive the nonequilibrium transport equations for the radiation from the Black-Hole. We discuss the theory application to Worm Holes and quantum analogues.
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