Spontaneous Lorentz Violation from Infrared Gravity
In this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms of a suitably modified form of the Heisenberg uncertainty relations. Specifically, we establish a one-to-one correspondence between this modified unc...
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MDPI AG
2021-10-01
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Online Access: | https://www.mdpi.com/2073-8994/13/10/1854 |
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author | Fabrizio Illuminati Gaetano Lambiase Luciano Petruzziello |
author_facet | Fabrizio Illuminati Gaetano Lambiase Luciano Petruzziello |
author_sort | Fabrizio Illuminati |
collection | DOAJ |
description | In this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms of a suitably modified form of the Heisenberg uncertainty relations. Specifically, we establish a one-to-one correspondence between this modified uncertainty principle and the Standard Model Extension (SME), a string-theoretical effective field theory that accounts for both explicit and spontaneous breaking of Lorentz symmetry. This tight correspondence between string-derived effective field theory and modified quantum mechanics with extended uncertainty relations is validated by comparing the predictions concerning a deformed Hawking temperature derived from the two models. Moreover, starting from the experimental bounds on the gravity sector of the SME, we derive the most stringent constraint achieved so far on the value of the free parameter in the extended Heisenberg uncertainty principle. |
first_indexed | 2024-03-10T06:10:07Z |
format | Article |
id | doaj.art-14739047fb084665aaf9b4ae2f9bd401 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T06:10:07Z |
publishDate | 2021-10-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
spelling | doaj.art-14739047fb084665aaf9b4ae2f9bd4012023-11-22T20:10:08ZengMDPI AGSymmetry2073-89942021-10-011310185410.3390/sym13101854Spontaneous Lorentz Violation from Infrared GravityFabrizio Illuminati0Gaetano Lambiase1Luciano Petruzziello2Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano, ItalyINFN, Sezione di Napoli, Gruppo Collegato di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDipartimento di Ingegneria Industriale, Università degli Studi di Salerno, via Giovanni Paolo II, 132, 84084 Fisciano, ItalyIn this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms of a suitably modified form of the Heisenberg uncertainty relations. Specifically, we establish a one-to-one correspondence between this modified uncertainty principle and the Standard Model Extension (SME), a string-theoretical effective field theory that accounts for both explicit and spontaneous breaking of Lorentz symmetry. This tight correspondence between string-derived effective field theory and modified quantum mechanics with extended uncertainty relations is validated by comparing the predictions concerning a deformed Hawking temperature derived from the two models. Moreover, starting from the experimental bounds on the gravity sector of the SME, we derive the most stringent constraint achieved so far on the value of the free parameter in the extended Heisenberg uncertainty principle.https://www.mdpi.com/2073-8994/13/10/1854extended uncertainty principleStandard Model ExtensionLorentz violation |
spellingShingle | Fabrizio Illuminati Gaetano Lambiase Luciano Petruzziello Spontaneous Lorentz Violation from Infrared Gravity Symmetry extended uncertainty principle Standard Model Extension Lorentz violation |
title | Spontaneous Lorentz Violation from Infrared Gravity |
title_full | Spontaneous Lorentz Violation from Infrared Gravity |
title_fullStr | Spontaneous Lorentz Violation from Infrared Gravity |
title_full_unstemmed | Spontaneous Lorentz Violation from Infrared Gravity |
title_short | Spontaneous Lorentz Violation from Infrared Gravity |
title_sort | spontaneous lorentz violation from infrared gravity |
topic | extended uncertainty principle Standard Model Extension Lorentz violation |
url | https://www.mdpi.com/2073-8994/13/10/1854 |
work_keys_str_mv | AT fabrizioilluminati spontaneouslorentzviolationfrominfraredgravity AT gaetanolambiase spontaneouslorentzviolationfrominfraredgravity AT lucianopetruzziello spontaneouslorentzviolationfrominfraredgravity |