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arXiv 0810.4515gr-qc
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排泄黑洞的量子行为

Quantum Behaviors on an Excreting Black Hole

James Lindesay

摘要:

通常,有视界的几何学能让我们深入了解广义相对论和量子物理之间错综复杂的关系。然而,引力量子系统的一些微妙方面可能很难使用静态背景来确定,因为量子力学包含动态可测性约束(例如不确定原理等)。为此,本文研究了动态黑洞背景下量子系统的行为。代表性的传出,传入,和静态的经典粒子的速度和轨迹的计算和对比,和简单的量子场(无质量和大质量)的时空动力学进行检查。与量子场相关的不变密度在代表排泄黑洞的彭罗斯图上显示出来。此外,一个通用的方法,一致的相互引力的量子的方式,再现给定的几何发展。相互引力量子场的动力学用描述给定量子类型在时空上的局部运动的仿射参数来表示。这样就可以推导出将量子场的能量动量密度与爱因斯坦张量联系起来的代数方程。一个例子相互引力系统的宏观相干量子随着核心引力场演示。由于该方法是通用的和代数的,它可以用来表示各种系统指定的边界条件。

英文摘要:

Often, geometries with horizons offer insights into the intricate relationships between general relativity and quantum physics. However, some subtle aspects of gravitating quantum systems might be difficult to ascertain using static backgrounds, since quantum mechanics incorporates dynamic measurability constraints (such as the uncertainty principle, etc.). For this reason, the behaviors of quantum systems on a dynamic black hole background are explored in this paper. The velocities and trajectories of representative outgoing, ingoing, and stationary classical particles are calculated and contrasted, and the dynamics of simple quantum fields (both massless and massive) on the space-time are examined. Invariant densities associated with the quantum fields are exhibited on the Penrose diagram that represents the excreting black hole. Furthermore, a generic approach for the consistent mutual gravitation of quanta in a manner that reproduces the given geometry is developed. The dynamics of the mutually gravitating quantum fields are expressed in terms of the affine parameter that describes local motions of a given quantum type on the space-time. Algebraic equations that relate the energy-momentum densities of the quantum fields to Einstein's tensor can then be developed. An example mutually gravitating system of macroscopically coherent quanta along with a core gravitating field is demonstrated. Since the approach is generic and algebraic, it can be used to represent a variety of systems with specified boundary conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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