Two-body decays in deformed relativity

Lobo, Iarley P.; Pfeifer, Christian; Morais, Pedro H.; Batista, Rafael Alves; Bezerra, Valdir B.

doi:10.48550/arxiv.2112.12172

“…A DSR theory always has a modified composition law of momenta, giving rise to non-standard conservation laws in particle processes, and therefore, to possible observable effects beyond time delays. This fact is what makes a DSR model without time delays different from standard SR (see however [56][57][58] for recent works discussing a possible effect of DSR in the lifetime of particles).…”

Section: A Modified Composition Lawmentioning

confidence: 99%

Time delays, choice of energy-momentum variables, and relative locality in doubly special relativity

Carmona

¹

,

Cortés

²

,

Relancio

³

et al. 2022

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Doubly Special Relativity (DSR) theories consider (quantum-gravity motivated) deformations of the symmetries of special relativity compatible with a relativity principle. The existence of time delays for massless particles, one of their proposed phenomenological consequences, is a delicate question, since, contrary to what happens with Lorentz Invariance Violation (LIV) scenarios, they are not simply determined by the modification in the particle dispersion relation. While some studies of DSR assert the existence of photon time delays, in this paper we generalize a recently proposed model for time delay studies in DSR and show that the existence of photon time delays does not necessarily follow from a DSR scenario, determining in which cases this is so. Moreover, we clarify long-standing questions about the arbitrariness in the choice of the energy-momentum labels and the independence of the time delay on this choice, as well as on the consistency of its calculation with the relative locality paradigm of DSR theories. Finally, we show that the result for time delays is reproduced in models that consider propagation in a noncommutative spacetime.

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“…modifications of the special relativistic dispersion relation. In this case modifications of the classical special relativistic effects like length contraction and time dilation are investigated [36,37] as well as particle physics processes from deformed relativistic kinematics or quantum field theories [38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Observables from spherically symmetric modified dispersion relations

Läänemets,

Hohmann,

Pfeifer

2022

Preprint

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In this work we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first order modification of the general relativistic dispersion relation as well as subject to the κ-Poincaré dispersion relation in spherical symmetry. We derive the corrections to the photon sphere, the Shapiro delay and the light deflection and identify the additional dependence of these observables on the photons' four momentum, which leads to measurable effects that can be compared to experimental data. The results presented here can be interpreted in two ways, depending on the origin of the modified dispersion relation: on the one hand as prediction for traces of quantum gravity, when the modified dispersion relation is induced by phenomenological approaches to quantum gravity, on the other hand as predictions of observables due to the presence of a medium, like a plasma, which modifies the dispersion relation of light on curved spacetimes.

show abstract

Time delays, choice of energy-momentum variables and relative locality in doubly special relativity

Carmona,

Cortés,

Relancio

et al. 2022

Preprint

0

View full text Add to dashboard Cite

Doubly Special Relativity (DSR) theories consider (quantum-gravity motivated) deformations of the symmetries of special relativity compatible with a relativity principle. The existence of time delays for massless particles, one of their proposed phenomenological consequences, is a delicate question, since, contrary to what happens with Lorentz Invariance Violation (LIV) scenarios, they are not simply determined by the modification in the particle dispersion relation. While some studies of DSR assert the existence of photon time delays, in this paper we generalize a recently proposed model for time delay studies in DSR and show that the existence of photon time delays does not necessarily follow from a DSR scenario, determining in which cases this is so. Moreover, we clarify long-standing questions about the arbitrariness in the choice of the energy-momentum labels and the independence of the time delay on this choice, as well as on the consistency of its calculation with the relative locality paradigm of DSR theories. Finally, we show that the result for time delays is reproduced in models that consider propagation in a noncommutative spacetime.

show abstract

Two-body decays in deformed relativity

Cited by 3 publications

References 53 publications

Time delays, choice of energy-momentum variables, and relative locality in doubly special relativity

Time delays, choice of energy-momentum variables, and relative locality in doubly special relativity

Observables from spherically symmetric modified dispersion relations

Time delays, choice of energy-momentum variables and relative locality in doubly special relativity

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