Gedankenexperiment for Contributions to Cosmological Constant from Kinematic Viscosity Assuming Self Reproduction of the Universe with Non-Zero Initial Entropy

Abstract

This paper is to address using what a fluctuation of a metric tensor leads to, in pre Planckian physics, namely with a small δgn, affected by a small nonsingular region of space-time. The resulting density will be of the form with the first term, on the right viscosity, of space-time, the 2nd on the right the square of an initial expansion rate, and due to the nonsingular nature of initial space time the fourth power of a scale factor, with a ~ ainit ~ 10-55 . We apply these density alteration tools to a criterion of self-replication of the universe, as written up by Mukhanov, as to how classical and quantum inflaton variations lead to understanding if the initial inflaton field of the Universe will be “growing”, or shrinking with. The first contribution to the initial alteration of the inflaton is classical, equivalent to minus the inverse of the inflaton field, and the second quantum mechanically based alteration of the inflaton is a “mass” term times an initial inflaton field. If this change in inflaton is positive, it means that domains of space time are increasing, and this is dependent upon the effective mass term we calculate in this manuscript. Finally after we do this we state how this relates to a formulation of the initial change in the Cosmological “constant” as given by ΔΛinitial ~ Mtotal-space-time-mass as well as heavy gravity issues.