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Deformed relativistic kinematics, expected to emerge in a flat-spacetime limit of quantum gravity, predicts violation of discrete symmetries at energy scale in the vicinity of the Planck mass. Momentum-dependent deformations of the C, P and…

High Energy Physics - Phenomenology · Physics 2020-11-04 Wojciech Wislicki

We present a simple algebraic argument for the conclusion that the low energy limit of a quantum theory of gravity must be a theory invariant, not under the Poincare group, but under a deformation of it parameterized by a dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Giovanni Amelino-Camelia , Lee Smolin , Artem Starodubtsev

We compare two versions of deformed dispersion relations (energy vs momenta and momenta vs energy) and the corresponding time delay up to the second order accuracy in the quantum gravity scale (deformation parameter). A general framework…

High Energy Physics - Theory · Physics 2010-11-26 A. Borowiec , Kumar S. Gupta , S. Meljanac , A. Pachol

We show that deformed relativistic kinematics, expected to emerge in a flat-spacetime limit of quantum gravity, predicts different lifetimes for particles and their antiparticles. This phenomenon is a consequence of Planck-scale…

High Energy Physics - Phenomenology · Physics 2019-05-31 Michele Arzano , Jerzy Kowalski-Glikman , Wojciech Wislicki

We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its implications. This $\kappa$-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the…

High Energy Physics - Theory · Physics 2011-07-28 E. Harikumar , M. Sivakumar , N. Srinivas

We use the results of ultra-precise cold-atom-recoil experiments to constrain the form of the energy-momentum dispersion relation, a structure that is expected to be modified in several quantum-gravity approaches. Our strategy of analysis…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Giovanni Amelino-Camelia , Claus Laemmerzahl , Flavio Mercati , Guglielmo M. Tino

Recent work has shown that dispersion relations with Planck scale Lorentz violation can produce observable effects at energies many orders of magnitude below the Planck energy M. This opens a window on physics that may reveal quantum…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Jacobson , S. Liberati , D. Mattingly

We carry out a systematic study of the bounds that can be set on Planck-scale deformations of relativistic symmetries and CPT from precision measurements of particle and antiparticle lifetimes. Elaborating on our earlier work [1] we discuss…

High Energy Physics - Phenomenology · Physics 2020-09-08 Michele Arzano , Jerzy Kowalski-Glikman , Wojciech Wislicki

In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to non-commutative space-time. We…

High Energy Physics - Theory · Physics 2012-02-10 E. Harikumar , T. Juric , S. Meljanac

A common feature of collapse models and an expected signature of the quantization of gravity at energies well below the Planck scale is the deviation from ordinary quantum-mechanical behavior. Here, we analyze the general consequences of…

The deformed Dirac equation invariant under the $\kappa$-Poincar\'{e}-Hopf quantum algebra in the context of minimal and scalar couplings under spin and pseudospin symmetries limits is considered. The $\kappa$-deformed Pauli-Dirac…

High Energy Physics - Theory · Physics 2019-09-27 Claudio F. Farias , Edilberto O. Silva

The study of generic, non-linear, deformations of Special Relativity parametrized by a high-energy scale $M$, which was carried out at first order in $M$ in Phys.Rev. D86, 084032 (2012), is extended to second order. This can be done…

High Energy Physics - Theory · Physics 2016-10-07 J. M. Carmona , J. L. Cortes , J. J. Relancio

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

We analyze the kinematics of electron-positron production in a photon-photon interaction when one has a modification of the special relativistic kinematics as a power expansion in the inverse of a new high-energy scale. We derive the…

High Energy Physics - Phenomenology · Physics 2020-08-25 J. M. Carmona , J. L. Cortés , L. Pereira , J. J. Relancio

The theory of the $\kappa$-deformed Poincare algebra is applied to the analysis of various phenomena in special relativity, quantum mechanics and field theory. The method relies on the development of series expansions in $\kappa^{-1}$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-05 J. P. Bowes , P. D. Jarvis

We investigate the phenomenological consequences of kappa-Minkowski extension of the Standard Model, working in the linear order in inverse $\kappa$. At this order the *-deformed Lagrangian can be expanded in the series of dimension five…

High Energy Physics - Phenomenology · Physics 2009-06-19 Pavel A. Bolokhov , Maxim Pospelov

Experiments in atomic physics have exceptional sensitivity to small shifts in energy in an atom, ion, or bound particle. They are particularly well suited to search for unique low-energy signatures of new physics, including effects that…

High Energy Physics - Phenomenology · Physics 2017-08-23 Robert Bluhm

The non-commutative geometry offers an effective framework for describing physics at the Planck scale, incorporating generic quantum-gravitational effects through an intrinsic minimal length and the $\kappa$-deformed space-time stands out…

High Energy Physics - Theory · Physics 2025-11-17 Vishnu Rajagopal , Puxun Wu

In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the $\kappa$-Poincar\'{e}-Hopf algebra. We consider the nonrelativistic limit of the $\kappa$-deformed Dirac equation…

High Energy Physics - Theory · Physics 2013-02-07 F. M. Andrade , E. O. Silva

The propagation of photons, electrons and positrons at ultra-high energies above 10^{19} eV can be changed considerably if the dispersion relations of these particles are modified by terms suppressed by powers of the Planck scale. We…

Astrophysics · Physics 2009-09-29 Matteo Galaverni , Guenter Sigl
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