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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MDPI AG
2022-10-01
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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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format | Article |
id | doaj.art-63cffeca817f43c7a7f814fecdc022c8 |
institution | Directory Open Access Journal |
issn | 2624-8174 |
language | English |
last_indexed | 2024-03-09T15:57:22Z |
publishDate | 2022-10-01 |
publisher | MDPI AG |
record_format | Article |
series | Physics |
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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