Barbour, J. (2010) Shape Dynamics: An Introduction. In: Finster, F., Muller, O., Nardmann, M., Tolksdorf, J. and Zeidler, E., Eds., Quantum Field Theory and Gravity, Conceptual and Mathematical Advances in the Search for a Unified Framework, Birkhauser, Springer-Verlag, London, 257-297.
TITLE: Gedanken Experiment for Initial Expansion of the Universe and Effects of a Nearly Zero Inflaton in Pre-Planckian Physics Space-Time Satisfying Traditional Slow Roll Formulas Which Happens in Pre-Planckian Regimes Even If φ⋅2»VSUSY
AUTHORS: Andrew Walcott Beckwith
JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.3 No.2, April 27, 2017
ABSTRACT: We first of all consider what if the initial inflaton was nearly zero instead of proportional to a Planck mass, in a SUSY type potential. Using the construction of Padmanabhan about general inflaton physics and the conditions of what are usual constituent slow roll requirements for inflation, and also of Kolb, Pi and Raby about a SUSY potential, we come up with the counter intuitive formulation of how usual tests for slow roll give the standard answers even if the inflaton in the SUSY potential as given by Kolb, Pi, and Raby is initially zero. The result gives support to a formulation of VEV conditions used right after a Planck instant of time. As it is, we will from first principles examine what adding acceleration does as to the HUP previously derived. In doing so we will be tying it in our discussion with the earlier work done on the HUP. The HUP results, so modified are appropriate for the Pre-Planckian results and may explain why the slow roll formulation as given by Padmanabhan holds where there is the phenomenon of for Pre-Planckian space-time. This leads to a very paradoxical result that in Pre-Planckian physics the traditional slow roll formulas are satisfied even if . But it also puts in extremely tight restrictions upon the formulation of the degree of freedom problem, as given in Equation (26) in this document.