Constraints on Deflation from the Equation of State of Dark Energy

Abstract

In cyclic cosmology based on phantom dark energy the requirement that our universe satisfy a CBE-condition ({\it Comes Back Empty}) imposes a lower bound on the number $N_{\mathrm{cp}}$ of causal patches which separate just prior to turnaround. This bound depends on the dark energy equation of state $w=p/\rho =-1-\varphi$ with $\varphi >0$. More accurate measurement of $\varphi$ will constrain $N_{\mathrm{cp}}$. The critical density ${\rho }_c$ in the model has a lower bound ${\rho }_c\ge (10^9\mathrm{GeV}{)}^4$ or ${\rho }_c\ge (10^{18}\mathrm{GeV}{)}^4$ when the smallest bound state has size $10^{-15}$m, or $10^{-35}$m, respectively.

Comments: 23 pages, 3 figures, typos fixed