**Authors:** Andrew Beckwith

Using Hall and Reginatto’s condition for a Wheeler De Witt Equation for a Friedman – Walker metric coupled to a (Inflaton) scalar field, we delineate the outer boundary of the value of a scale factor a(t) for quantum effects, in an expanding universe. The inflaton field is from Padamanabhan’s reference, “ An Invitation to Astrophysics” which yields a nonstandard Potential U(a,phi) which will lead to an algebraic expression for a(t) for the value of the outer boundary of quantum effects in the universe. Afterwards, using the expression a(t)= a(initial) times [t(time)] ^ alpha, with alpha given different values, we give an estimation as to a time, t(time) which is roughly the boundary of the range of quantum effects. How this is unusual? We use the Wheeler De Witt Equation, as a coupling to a given inflaton field, phi, and from there find a different way as to delineate a time regime for the range of quantum effects in an expanding universe

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[v1] 2016-09-30 07:27:38

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