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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

In relative locality theories the geometric properties of phase space depart from the standard ones given by the fact that spaces of momenta are linear fibers over a spacetime base manifold. In particular here it is assumed that the…

High Energy Physics - Theory · Physics 2015-07-24 Valerio Astuti , Laurent Freidel

Observations of gamma-ray bursts are being used to test for a momentum dependence of the speed of photons, partly motivated by preliminary results reported in analyses of some quantum-spacetime scenarios. The relationship between time of…

High Energy Astrophysical Phenomena · Physics 2010-07-06 Giovanni Amelino-Camelia , Antonino Marciano , Marco Matassa , Giacomo Rosati

Plane waves in noncommutative classical electrodynamics (NCED) have a peculiar dispersion relation. We investigate the kinematical conditions on this deformed "mass shell" which come from ultra high energy gamma rays and discuss…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Castorina , Dario Zappala'

Using the recent observation of gravitational waves (GW) produced by a black-hole merger, we place a lower bound on the energy above which a multifractal spacetime would display an anomalous geometry and, in particular, violations of…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Gianluca Calcagni

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative…

High Energy Physics - Theory · Physics 2009-09-17 Sami Saxell

The interest of part of the quantum-gravity community in the possibility of Planck-scale-deformed Lorentz symmetry is also fueled by the opportunities for testing the relevant scenarios with analyses, from a signal-propagation perspective,…

High Energy Physics - Theory · Physics 2013-01-22 Giovanni Amelino-Camelia , Antonino MarcianÒ , Marco Matassa , Giacomo Rosati

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

We study a family of noncommutative spacetimes constructed by one four-vector. The large set of coordinate commutation relations described in this way includes many cases that are widely studied in the literature. The Hopf-algebra…

High Energy Physics - Theory · Physics 2017-10-02 Niccoló Loret , Stjepan Meljanac , Flavio Mercati , Danijel Pikutić

A nonrelativistic decomposition for the quark energy by the ratio of the dispersion of quark momentum squared and the effective quark mass is investigated in the framework of the relativistic oscillator constituent quark model as bound…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. P. Ilichova

The noncommutativity of the space-time had important implications for the very early Universe, when its size was of the order of the Planck length. An important implication of this effect is the deformation of the standard dispersion…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Yunxin Ye , Tiberiu Harko , Shi-Dong Liang

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

We show the existence of a noncommutative spacetime structure in the context of a complete discussion on the underlying spacetime symmetries for the physical system of a free massless relativistic particle. The above spacetime symmetry…

High Energy Physics - Theory · Physics 2009-11-10 R. P. Malik

We consider a problem of the consistent deformation of physical system introducing a new features, but preserving its fundamental properties. In particular, we study how to implement the noncommutativity of space-time without violation of…

High Energy Physics - Theory · Physics 2014-09-15 V. G. Kupriyanov

The investigations presented in this study are directed at relativistic modifications of the uncertainty relation derived from the curvature of the background spacetime. These findings generalize previous work which is recovered in the…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Fabian Wagner

Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman…

Mathematical Physics · Physics 2011-04-14 Harald Grosse , Gandalf Lechner

Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the entanglement configuration of NC two-mode Gaussian states are…

Quantum Physics · Physics 2015-10-13 Alex E. Bernardini , Catarina Bastos , Orfeu Bertolami , Nuno C. Dias , João N. Prata

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

Solar neutrino problem and atmospheric neutrino anomaly which are both long-standing issues studied intensively by physicists in the past several decades, are reckoned to be able to be solved simultaneously in the framework of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shao-Xia Chen , Zhao-Yu Yang