TITLE:
Examination of Minimum Time Step, from Modified Heisenberg Uncertainty Principle, Inflaton Physics and Black Hole Physics
AUTHORS:
Andrew Walcott Beckwith
KEYWORDS:
Massive Gravity, Inflaton Physics, Infinite Quantum Statistics, Modified Poisson’s Equation
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.3 No.1,
November
25,
2016
ABSTRACT: First, we calculate the minimum length for the creation of a 1045 Hz relic Gravitational wave. Next, we look Padamababhan’s inflaton physics, and work done by the author for a modified Heisenberg Uncertainty principle for constraints on a minimum time step. Sciama’s work in “Black hole explosions” (1982) gives us a linkage between a decay rate for black holes, in terms of a life time, and the mass, M of the black hole, which when combined with a simple exposition from Susskind and Hrabovsky (2013) for the most basic evolution the time change in energy E(t), which is how we form a first order treatment of the square of a minimum time step . We then reference what was done by Ng (2008) as far as infinite quantum statistics, for entropy as a particle count, and from first principle get constraints upon entropy production, as a function of boundaries on minimum time step. We assume massive Gravity, and obtain a peak 1036 Giga Hertz frequency range (1045 Hertz) for relic Gravitational waves, and Gravitons.