循环宇宙学模型中的过去时代
Past Eras In Cyclic Cosmological Models
摘要：
在无限循环宇宙学中，过去的纪元是用集合论和超限数来讨论的。在文献中已经有一个一致的假设，即总是存在可数无限个$\aleph_0$宇宙，而没有大爆炸。我在这里描述一个替代方案，其中现在的宇宙数量是$\aleph_0$，在无限的过去只有有限数量的宇宙。在这个替代模型中，也有可能没有大爆炸。
英文摘要：
In infinitely cyclic cosmology past eras are discussed using set theory and transfinite numbers. One consistent scenario, already in the literature, is where there is always a countably infinite number, $\aleph_0$, of universes and no big bang. I describe here an alternative where the present number of universes is $\aleph_0$ and in the infinite past there was only a finite number of universes. In this alternative model it is also possible that there was no big bang.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
