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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
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