Past Eras In Cyclic Cosmological Models

Understand

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.