Entropy Bound for the Crystalline Vacuum Cosmic Space Model

Abstract

By applying the Heisenberg's uncertainty principle for a macroscopic quantum gas formed by gravitational waves an expression for the universal bound on the entropy proposed by Bekenstein for any system of maximum radius R and total energy E has been obtained. By using such expression, in the theoretical scheme of the crystalline vacuum cosmic model, the low entropy value at the Big Bang beginning, 1088k, is explained. According to our analysis the time arrow is well defined and the theoretical time flow occurs only in one direction as requested by the physical processes of gravitational stabilization of the vacuum space crystalline structure around equilibrium conditions. PACS numbers: 65.50.+m, 97.60.Lf, 03.65.-w, 61.50.-f, 98.80.Ft, 04.20.-q