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We introduce a general framework for constructing dispersion relations using crossing-symmetric variables, leading to infinitely many distinct representations of the 2-to-2 scattering amplitude of identical scalars. Classical formulations…

High Energy Physics - Theory · Physics 2025-09-18 Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus , Ahmadullah Zahed

The most active area of research in quantum-gravity phenomenology investigates the possibility of Planck-scale-modified dispersion relations, focusing mainly on two alternative scenarios: the "LIV" scenario, characterized by a specific…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Giovanni Amelino-Camelia , Giulia Gubitosi , Pietro Pellecchia , Marco Refuto , Giacomo Rosati

In this paper we provide universal formulas describing Drinfeld-type quantization of inhomogeneous orthogonal groups determined by a metric tensor of an arbitrary signature living in a spacetime of arbitrary dimension. The metric tensor…

Mathematical Physics · Physics 2014-12-04 Andrzej Borowiec , Anna Pachol

We describe the generalized kappa-deformations of D=4 relativistic symmetries with finite masslike deformation parameter kappa and an arbitrary direction in kappa-deformed Minkowski space being noncommutative. The corresponding bicovariant…

High Energy Physics - Theory · Physics 2016-08-16 P. Kosiński , P. Maślanka , J. Lukierski , A. Sitarz

In order to the expected Planck-scale correction in the physical systems we have put forwarded a novel modified dispersion relation (MDR). It has a generalized structure. A specific choice of the function used in the construction of this…

General Physics · Physics 2020-03-02 Sohan Kumar Jha , Himangshu Barman , Anisur Rahaman

Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a smash product…

Mathematical Physics · Physics 2010-10-27 Andrzej Borowiec , Anna Pachoł

Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The technique is…

Quantum Gases · Physics 2022-01-27 Jean Claude Garreau , Véronique Zehnlé

We present {\tt radpol} - a numerical scheme for integrating multifrequency polarized radiative transfer equations along rays propagating in a curved spacetime. The scheme includes radiative processes such as synchrotron emission,…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Monika Moscibrodzka

In this paper we construct the action describing dynamics of the particle moving in curved spacetime, with a non-trivial momentum space geometry. Curved momentum space is the core feature of theories where relative locality effects are…

High Energy Physics - Theory · Physics 2013-07-11 Jerzy Kowalski-Glikman , Giacomo Rosati

We employ a twist deformation of infinitesimal diffeomorphisms to construct a modification of General Relativity on a non-commutative spacetime extending the local kappa-Minkowski geometry. This spacetime arises in Deformed Special…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Daniel Rozental , Ofek Birnholtz

Doubly Special Relativity (DSR) models are characterized by the deformation of relativistic symmetries at the Planck scale and constitute one of the cornerstones for quantum gravity phenomenology research, due to the possibility of testing…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Giuseppe Fabiano , Domenico Frattulillo

We define and study on Lorentz manifolds a family of covariant diffusions in which the quadratic variation is locally determined by the curvature. This allows the interpretation of the diffusion effect on a particle by its interaction with…

Probability · Mathematics 2015-05-18 Jacques Franchi , Yves Le Jan

We present Lie-algebraic deformations of Minkowski space with undeformed Poincare algebra. These deformations interpolate between Snyder and kappa-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative…

High Energy Physics - Theory · Physics 2010-04-30 S. Meljanac , D. Meljanac , A. Samsarov , M. Stojic

A novel approach to study the properties of models with quantum-deformed relativistic symmetries relies on a noncommutative space of worldlines rather than the usual noncommutative spacetime. In this setting, spacetime can be reconstructed…

High Energy Physics - Theory · Physics 2022-01-05 Angel Ballesteros , Giulia Gubitosi , Ivan Gutierrez-Sagredo , Flavio Mercati

The spin-curvature coupling as captured by the so-called Mathisson-Papapetrou-Dixon (MPD) equations is the leading order effect of the finite size of a rapidly rotating compact astrophysical object moving in a curved background. It is also…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Vojtěch Witzany , Jan Steinhoff , Georgios Lukes-Gerakopoulos

Principal contributions to QED radiative effects for Moller scattering of polarized particles are investigated both on the Born level and taking into account radiative corrections (RC). Scattering on the case of longitudinal and transversal…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. M. Shumeiko , J. G. Suarez

Deeply Virtual Compton Scattering and electroproduction of mesons involve amplitudes that are analytic in energy. Analyticity enables Dispersion Relations (DR's) for such amplitudes, relating real and imaginary parts. Lately it has been…

High Energy Physics - Phenomenology · Physics 2009-08-18 Gary R. Goldstein , Simonetta Liuti

In the present work, metrics which lead to projected closed orbits are found by comparing the relativistic differential equation of orbits with the corresponding classical differential equation. Physical and geometrical properties of these…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Mohsen Rahimkhanli , Nematollah Riazi

In this paper, we study the effect of $\kappa$-deformation of the space-time on the response function of a uniformly accelerating detector coupled to a scalar field. Starting with $\kappa$-deformed Klein-Gordon theory, which is invariant…

High Energy Physics - Theory · Physics 2015-06-05 E. Harikumar , A. K. Kapoor , Ravikant Verma

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will