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Cited by 1,226Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.

Lorentz Invariance with an Invariant Energy Scale

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Magueijo, João, Smolin, Lee·2002·Physical Review Letters
DOI 10.1103/physrevlett.88.190403
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Abstract

We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory at low energies. This is accomplished by a nonlinear modification of the action of the Lorentz group on momentum space, generated by adding a dilatation to each boost in such a way that the Planck energy remains invariant. The associated algebra has unmodified structure constants. We also discuss the resulting modifications of field theory and suggest a modification of the equivalence principle which determines how the new theory is embedded in general relativity.

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Research works printed but not linked: 2

  1. C. Rovelli, 1995, Nucl. Phys., B456, 734
  2. G. Amelino-Camelia, 2000, Int. J. Mod. Phys. A, 15, 4301

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Metadata

Authors
Magueijo, J., & Smolin, L.
Affiliations
  • Imperial College London (GB)
  • University of Waterloo (CA)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2002-04-26
Volume
88
Issue
19
Pages
190403-190403
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.88.190403
OpenAlex
W2087945706
Cited by
1,226
References
22
Citations by year
2026: 40 · 2025: 67 · 2024: 59 · 2023: 56 · 2022: 52 · 2021: 69 · 2020: 53 · 2019: 55 · 2018: 52 · 2017: 57 · 2016: 61 · 2015: 50 · 2014: 55 · 2013: 64 · 2012: 60
FWCI
28.36
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
Lorentz violation, modified special relativity, Planck energy, dilation, structure constants, equivalence principle, general relativity

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