The Uncertainty Principle and the Minimal Space–Time Length Element

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...

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Main Authors: David Escors, Grazyna Kochan
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Physics
Subjects:
Online Access:https://www.mdpi.com/2624-8174/4/4/79
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author David Escors
Grazyna Kochan
author_facet David Escors
Grazyna Kochan
author_sort David Escors
collection DOAJ
description 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.
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spelling doaj.art-63cffeca817f43c7a7f814fecdc022c82023-11-24T17:26:30ZengMDPI AGPhysics2624-81742022-10-01441230124010.3390/physics4040079The Uncertainty Principle and the Minimal Space–Time Length ElementDavid Escors0Grazyna Kochan1Fundacion Miguel Servet, Public University of Navarre (UPNA), 31008 Pamplona, SpainFundacion Miguel Servet, Public University of Navarre (UPNA), 31008 Pamplona, SpainQuantum 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.https://www.mdpi.com/2624-8174/4/4/79general relativityuncertainty principlegeodesicsblack hole singularityquantum gravityPlanck star
spellingShingle David Escors
Grazyna Kochan
The Uncertainty Principle and the Minimal Space–Time Length Element
Physics
general relativity
uncertainty principle
geodesics
black hole singularity
quantum gravity
Planck star
title The Uncertainty Principle and the Minimal Space–Time Length Element
title_full The Uncertainty Principle and the Minimal Space–Time Length Element
title_fullStr The Uncertainty Principle and the Minimal Space–Time Length Element
title_full_unstemmed The Uncertainty Principle and the Minimal Space–Time Length Element
title_short The Uncertainty Principle and the Minimal Space–Time Length Element
title_sort uncertainty principle and the minimal space time length element
topic general relativity
uncertainty principle
geodesics
black hole singularity
quantum gravity
Planck star
url https://www.mdpi.com/2624-8174/4/4/79
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