Misc,

Entropy of Contracting Universe in Cyclic Cosmology

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(2007)cite arxiv:hep-th/0703162Comment: 5 pages latex.
DOI: 10.1142/S0217732308026170

Abstract

Following up a recent proposal BF for a cyclic model based on phantom dark energy, we examine the content of the contracting universe (cu) and its entropy $S_cu$. We find that beyond dark energy the universe contains on average zero or at most a single photon which if present immediately after turnaround has infinitesimally energy which subsequently blue shifts to produce $e^+e^-$ pairs. These statements are independent of the equation of state $= p/\rho$ of dark energy provided $< -1$. Thus $S_cu = 0$ and if observations confirm $< -1$ the entropy problem is solved. We discuss the absence of a theoretical lower bound on $= |+ 1|$, then describe an anthropic fine tuning argument that renders unlikely extremely small $\phi$. The present bound $0.1$ already implies a time until turnaround of $(t_T - t_0) 100$ Gy.

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