This paper is to address using what a fluctuation of a metric tensor leads to, in
pre Planckian physics, namely with a small δg
n, 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 2
nd 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 ~ a
init ~ 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 ΔΛ
initial ~ M
total-space-time-mass as well as heavy gravity issues.