A deformed uncertainty relation for the universe scale factor modifies the Friedmann equation to yield late-universe acceleration or a bounce according to the sign of a single free exponent.
Lorentz invariance with an invariant energy scale
4 Pith papers cite this work. Polarity classification is still indexing.
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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 non-linear 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, and we highlight the similarities between the group action found and a transformation previously proposed by Fock. 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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representative citing papers
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than current bounds for Hořava-Lifschitz and extra-dimension models.
In the DSR1 model with subluminal light-speed variation, a boosted box can overtake its own emitted photon above a critical rapidity, leading to tensions in particle counting and motion not resolved by relative locality.
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
citing papers explorer
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A Cosmological Uncertainty Relation and Late-Universe Acceleration
A deformed uncertainty relation for the universe scale factor modifies the Friedmann equation to yield late-universe acceleration or a bounce according to the sign of a single free exponent.
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Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than current bounds for Hořava-Lifschitz and extra-dimension models.
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On the Consistency of Covariant Light-Speed Variation in Doubly Special Relativity
In the DSR1 model with subluminal light-speed variation, a boosted box can overtake its own emitted photon above a critical rapidity, leading to tensions in particle counting and motion not resolved by relative locality.
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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.