未来共形视界的电动力学
Electrodynamics with a Future Conformal Horizon
摘要：
我们调查的影响奇点发生在未来的时间在共形坐标表示的弗里德曼方程的解决方案。我们专注于通过物质和辐射物理学的奇异性扩展时间坐标的后果只占据一边。这主要涉及研究线元ds^2 = a^2（t）*（dt^2 - dx^2）的度规与电动力学中的时间反演对称性之间的关系。事实证明，只有当奇点发生时存在奇异物理事件或拓扑结构并非微不足道时，这两者之间的兼容性才是可能的。在这两种情况下，奇点都呈现出类似时间的镜像。我们能够证明电动力学中以延迟辐射和辐射反应为特征的破缺时间对称性与相对于奇点时间的绝对共形时间之间的关系，即电磁和宇宙学时间箭头之间的关系。它是确定的惠勒-费曼推理，但与未来的吸收体所取代的宇宙镜导致与观察的冲突，除非物质是电磁强烈绑定到环境。
英文摘要：
We investigate the impact of singularities occurring at future times in solutions of the Friedmann equations expressed in conformal coordinates. We focus on the consequences of extending the time coordinate through the singularity for the physics of matter and radiation occupying just one side. Mostly this involves investigation of the relationship between the metric with line element ds^2 = a^2(t) * (dt^2 - dx^2) and time reversal symmetry within electrodynamics. It turns out compatibility between these two is possible only if there is a singular physical event at the time of the singularity or if the topology is not trivial. In both cases the singularity takes on the appearance of a time-like mirror. We are able to demonstrate a relationship between the broken time symmetry in electrodynamics characterized by retarded radiation and radiation reaction and the absolute conformal time relative to the time of the singularity, i.e. between the Electromagnetic and Cosmological arrows of time. It is determined that the Wheeler-Feynman reasoning but with the future absorber replaced by the Cosmological mirror leads to a conflict with observation unless matter is electromagnetically strongly bound to the environment.
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