论文标题
关于Schwarzschild黑洞中信息内容的本地保护
On local conservation of information content in Schwarzschild black holes
论文作者
论文摘要
经典一般相对性的中央方程是爱因斯坦磁场方程，它不仅可以通过物质和辐射表现为引力效应，而且更重要的是质量能量动力学，进化和分布在空间时代上。本文中，我们引入了与Schwarzschild黑洞信息内容相对应的一般相对论的几何阶段。该数量适当地满足了局部保护法，但要与其他期望的特性，例如在普朗克地区单位中对黑洞地平线进行量化。局部保护定律是由场方程施加的，该方程不仅包含爱因斯坦磁场方程的痕迹，而且还包含具有类似于量子力学波函数的属性的复杂值函数。这样的成功证明了所提出的田间方程在捕获量子重力理论的关键方面的实用性。
The central equations in classical general relativity are the Einstein Field Equations, which accurately describe not only the generation of pseudo-Riemannian curvature by matter and radiation manifesting as gravitational effects, but more importantly mass-energy dynamics, evolution and distribution on the space-time manifold. Herein, we introduce a geometric phase in general relativity corresponding to Schwarzschild black hole information content. This quantity appropriately satisfies a local conservation law subject to minimal coupling, with other desirable properties such as the quantization of the black hole horizon in units of Planck area. The local conservation law is imposed by field equations, which not only contain the trace of Einstein Field Equations, but also a complex-valued function with properties analogous to the quantum-mechanical wave function. Such success attests to the utility of the proposed field equations in capturing key aspects of quantum gravity theories.
