Hall, M.J.W. and Reginatto, M. (2016) Ensembles on Configuration Space, Classical, Quantum, and Beyond. Fundamental Theories of Physics, Volume 184, Springer Verlag, Springer International Series Publishing, Geneva.

has been cited by the following article:

• 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.