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The Uncertainty Principle and the Minimal Space-Time Length Element
Version 1
: Received: 17 August 2022 / Approved: 18 August 2022 / Online: 18 August 2022 (11:06:06 CEST)
A peer-reviewed article of this Preprint also exists.
Escors, D.; Kochan, G. The Uncertainty Principle and the Minimal Space–Time Length Element. Physics 2022, 4, 1230-1240. Escors, D.; Kochan, G. The Uncertainty Principle and the Minimal Space–Time Length Element. Physics 2022, 4, 1230-1240.
Abstract
Quantum gravity theories rely on a minimal measurable length for their formulations, which clashes with the classical formulation of the uncertainty principle and with Lorentz invariance from general relativity. These incompatibilities led to the development of the generalized uncertainty principle (GUP) from string theories and its various modifications. GUP and covariant formulations of the uncertainty principle are discussed, together with implications for space-time quantization.
Keywords
General relativity; uncertainty principle; geodesics; black hole singularity; quantum gravity; Planck star; Lorentz invariance violations.
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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