AI 中文总结
研究黑洞内部因果时空结构及非豪斯多夫扩展，通过从黑洞外因果相连区域延续测地线完备化构建锥，将史瓦西黑洞视为零电荷极限改革彭罗斯 - 卡特图，其边缘轨迹构成特殊路径，形成粒子热浴。
AI 中文摘要
通过从黑洞内部因果相连的时空区域延续的测地线完备化，在黑洞视界下严格构建未来和过去的锥。将史瓦西黑洞视为雷斯纳 - 诺德斯特龙黑洞的零电荷极限，可将彭罗斯 - 卡特图转变为无限带，排除测地运动下的封闭原时循环。未来和过去锥之间的边缘轨迹构成与黑洞内部紧致非豪斯多夫球面扩展共有的路径，形成落入黑洞粒子的热浴。
英文摘要
Cones of future and past are rigorously constructed under the horizon of black hole by completions of geodesics continued from causally connected space-time regions outside the black hole interior. Treating the Schwarzschild black hole as a zero charge limit of Reissner--Nordsrøm black hole reforms the Penrose--Carter diagram into the infinite band that excludes the closed proper-time cycles under the geodesic motion. The marginal trajectories between the cones of future and past compose paths common with a compact non-Hausdorff spherical extension of black hole interior forming the thermal bath for particles fallen to the black hole.
Comments14 pages, 9 figures
