Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

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)

How to cite: Escors, D.; Kochan, A.G. The Uncertainty Principle and the Minimal Space-Time Length Element. Preprints 2022, 2022080347 (doi: 10.20944/preprints202208.0347.v1). Escors, D.; Kochan, A.G. The Uncertainty Principle and the Minimal Space-Time Length Element. Preprints 2022, 2022080347 (doi: 10.20944/preprints202208.0347.v1).

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, General & Theoretical Physics

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