Author(s)

Andrew Walcott Beckwith

Department of Physics, College of Physics, Chongqing University Huxi Campus, Chongqing, China.

We will first of all reference a value of momentum, in the early universe. This is for 3 + 1 dimensions and is important since Wesson has an integration of this momentum with regards to a 5 dimensional parameter included in an integration of momentum over space which equals a ration of L divided by small l (length) and all these times a constant. The ratio of L over small l is a way of making deterministic inputs from 5 dimensions into the 3 + 1 dimensional HUP. In doing so, we come up with a very small radial component for reasons which due to an argument from Wesson is a way to deterministically fix one of the variables placed into the 3 + 1 HUP. This is a deterministic input into a derivation which is then, first of all, we restate a proof of a highly localized special case of a metric tensor uncertainty principle first written up by Unruh. Unruh did not use the Roberson-Walker geometry which we do, and it so happens that the dominant metric tensor we will be examining is variation in δg_tt. We state that the metric tensor variations are given by δg_rr, δg_θθ and δg_φφ are negligible contributions, as compared to the variation δg_tt. From there the expression for the HUP and its applications into certain cases in the early universe are strictly affected after we take into consideration a vanishingly small r spatial value in how we define δg_tt.

Massive Gravitons, Heisenberg Uncertainty Principle (HUP), Riemannian-Penrose Inequality

Beckwith, A. (2023) How 5 Dimensions May Fix a Deterministic Background Spatially as to Be Inserted for HUP in 3 + 1 Dimensions, and Its Relevance to the Early Universe? Criteria for Massive Graviton Detection from Relic Conditions Mentioned. Journal of High Energy Physics, Gravitation and Cosmology, 9, 108-115. doi: 10.4236/jhepgc.2023.91010.