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Doubly Special Relativity

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arxiv gr-qc/0207049 v1 pith:3HCTJOJ2 submitted 2002-07-12 gr-qc

Giovanni Amelino-Camelia This is my paper · ORCID
classification gr-qc
keywords doublylengthmomentumobserver-independentrelativityscalespecialaspects
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abstract

I give a short non-technical review of the results obtained in recent work on "Doubly Special Relativity", the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two observer-independent scales (the familiar velocity scale, $c$, and a new observer-independent length/momentum scale, naturally identified with the Planck length/momentum). I emphasize the aspects relevant for the search of a solution to the cosmic-ray paradox.

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Cited by 8 Pith papers

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    A transverse deformation of the 2+1D de Sitter algebra yields energy-dependent transverse shifts and curvature-induced angular deviations for observers separated by a comoving distance.

  2. Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1

    gr-qc 2019-03 accept novelty 6.0 of 10

    Binary black hole signals in GWTC-1 are consistent with general relativity predictions, with an improved graviton mass bound of mg ≤ 4.7 × 10^{-23} eV/c² at 90% credible level.

  3. Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time

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  4. Dynamical Baryogenesis in Rainbow Cosmology

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    An energy-dependent 'rainbow' modification of spacetime can turn a baryon-symmetric scalar field state into a nonzero baryon-to-photon ratio of the observed size without supersymmetry.

  5. Kinematical correlations via $\kappa$-Poincar\'e coproducts

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    In the classical basis the non-bijective momentum map induces branch-dependent κ-deformed back-to-back correlations for two-particle states obeying vanishing total momentum.

  6. From minimal-length quantum theory to modified gravity

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    A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable le...

  7. \kappa-deformed spin-1/2 field

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    A kappa-deformed Dirac action is constructed whose Noether charges close the standard Poincaré algebra, while charge conjugation symmetry is broken and CPT can only be restored by deforming time reversal.

  8. Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog

    gr-qc 2020-10 accept novelty 5.0 of 10

    No evidence for deviations from general relativity is found in LIGO-Virgo binary black hole events, with improved constraints on waveform parameters, graviton mass, and ringdown properties.

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