Cyclic Period in the CBE Model

TL;DR

This paper discusses a cyclic entropy model with a Come Back Empty assumption, focusing on scale factor matching to ensure infinite cyclicity, resulting in a cycle period of approximately 2.6 trillion years.

Contribution

It introduces a method for matching scale factors in a cyclic entropy model to achieve infinite cycles with a specific period.

Findings

Cycle period fixed at approximately 2.6 trillion years.

Matching scale factors is essential for infinite cyclicity.

The model supports a consistent cyclic universe scenario.

Abstract

In a cyclic entropy model in which the extroverse is jettisoned at turnaround with a Come Back Empty (CBE) assumption, we address matching of the contaction scale factor $\hat{a}(t)=f(t_T){a}(t)$ to the expansion scale factor $a(t)$, where $f(t_T)$ is the ratio at turnaround of the introverse to extroverse radii. Such matching is necessary for infinite cyclicity and fixes the CBE period at $\sim 2.6Ty$.