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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Main Authors: Fabrizio Illuminati, Gaetano Lambiase, Luciano Petruzziello
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Symmetry
Subjects:
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.
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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