暴露的光滑奇点：微分时空流形的嵌合体
广义相对论与量子宇宙学
2007-05-23 v9
摘要
基于微分时空流形的广义相对论(GR)的光滑引力奇点，从背景流形无关且广义地无微积分的抽象微分几何(ADG)视角加以审视。特别地，内 Schwarzschild 奇点以两种不同方式被 ADG 理论地“消解”。探讨并应对了当前经典与量子引力研究中大量重要的数学、物理和哲学问题。
引用
@article{arxiv.gr-qc/0411121,
title = {Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold},
author = {Anastasios Mallios and Ioannis Raptis},
journal= {arXiv preprint arXiv:gr-qc/0411121},
year = {2007}
}
备注
Size: 481 pages. The document is pretty much in its final form. We are still groping with quotations' referencing in the text. We shall rectify things duly