TITLE:
(Precursor for) Quantum Boundary Conditions for Expanding Universe
AUTHORS:
Andrew Walcott Beckwith
KEYWORDS:
Wheeler De Witt Equation, Inflaton, Friedman-Walker Metric, Scale Fact
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.3 No.1,
November
23,
2016
ABSTRACT:
Using Hall and Reginatto’s condition for a Wheeler De Witt Equation for a Friedman-Walker metric coupled to a (Inflaton) scalar field Φ, 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 Padmanabhan’s reference, “An Invitation to Astrophysics” which yields a nonstandard Potential U (a, Φ) 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 scale factor a (t)=ainitial·tα, 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 Φ and find a different way as to delineate a time regime for the range of quantum effects in an expanding universe.