Generalized Heisenberg Uncertainty Principle in Quantum Geometrodynamics and General Relativity

Authors

  • A. W. Beckwith Physics Department, Chongqing University, College of Physics, Chongqing University Huxi Campus
  • S. S. Moskaliuk Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe62.08.0727

Keywords:

generalized Heisenberg uncertainty principle, general relativity, Universe, cosmology, quantum geometrodynamics

Abstract

We focus on the energy flows in the Universe as a simple quantum system and are concentrating on the nonlinear Hamilton–Jacobi equation, which appears in the standard quantum formalism based on the Schr¨odinger equation. The cases of the domination of radiation, barotropic fluid, and the quantum matter-energy are considered too. As a result, the generalized Heisenberg uncertainty principle (GHUP) is formulated for a metric tensor. We also use the Kuzmichev–Kuzmichev geometrodynamics as a way to quantify the interrelationship between the GHUP for a metric tensor and conditions postulated as to a barotropic fluid, i.e. a dust for the early Universe conditions.

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Published

2018-12-13

How to Cite

Beckwith, A. W., & Moskaliuk, S. S. (2018). Generalized Heisenberg Uncertainty Principle in Quantum Geometrodynamics and General Relativity. Ukrainian Journal of Physics, 62(8), 727. https://doi.org/10.15407/ujpe62.08.0727

Issue

Section

Astrophysics and cosmology