Lorentz Invariance with an Invariant Energy Scale
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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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The record
- Venue
- Physical Review Letters
- Topic
- Noncommutative and Quantum Gravity Theories
- Field
- Physics and Astronomy
- Canadian institutions
- Perimeter InstituteUniversity of Waterloo
- Funders
- —
- Keywords
- PhysicsInertial frame of referenceLorentz covarianceInvariant (physics)Doubly special relativityEnergy–momentum relationClassical mechanicsOne-way speed of lightTheory of relativityLorentz transformationTheoretical physicsTests of special relativityFour-momentumEinsteinFour-forceMathematical physicsTest theories of special relativity
- Has abstract in OpenAlex
- yes