论文标题
粗糙黑洞的面积
The Area of a Rough Black Hole
论文作者
论文摘要
我们研究了对地平线几何引入分形结构的黑洞面积的后果。我们使用无限缩小的层次结构在Schwarzschild事件范围内创建了“ Koch Snowflake”的三维球形类似物。我们可以为地平线创建一个有限体积和无限（或有限）区域的分形结构。这是一个玩具模型，可实现量子引力时空泡沫的可能影响，对黑洞和宇宙的熵的评估产生了重大影响，黑洞和宇宙的熵通常比黑洞结构和热力学的标准图片大，这可能是相当大的因素。如今，可观察到的宇宙的熵变为log（s）约为120（1+d/2），对于光滑的时空结构，D = 0，对于最复杂的时空结构，D = 1。黑洞的鹰寿命也减少了。
We investigate the consequences for the black hole area of introducing fractal structure for the horizon geometry. We create a three-dimensional spherical analogue of a 'Koch Snowflake' using a infinite diminishing hierarchy of touching spheres around the Schwarzschild event horizon. We can create a fractal structure for the horizon with finite volume and infinite (or finite) area. This is a toy model for the possible effects of quantum gravitational spacetime foam, with significant implications for assessments of the entropy of black holes and the universe, which is generally larger than in standard picture of black hole structure and thermodynamics, potentially by very considerable factors. The entropy of the observable universe today becomes log(S) is approximately 120(1+D/2) with D = 0 for a smooth spacetime structure and D = 1 for the most intricate. The Hawking lifetime of black holes is also reduced.
