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Lorentz Invariance with an Invariant Energy Scale
Open accessAbstract
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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Metadata
- Authors
- Magueijo, J., & Smolin, L.
- Affiliations
- Imperial College London (GB)
- University of Waterloo (CA)
- 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
- 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
- green
- arxiv.org
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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