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The idea that quantum gravity manifestations would be associated with a violation of Lorentz invariance is very strongly bounded and faces serious theoretical challenges. This leads us to consider an alternative line of thought for such…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Daniel Sudarsky

It is well known that a fundamental theorem of Quantum Field Theory (QFT) set in at spacetime ensures the CPT invariance of the theory. This symmetry is strictly connected to the Lorentz covariance, and consequently to the fundamental…

High Energy Physics - Phenomenology · Physics 2021-10-19 Vito Antonelli , Lino Miramonti , Marco Danilo Claudio Torri

Recent works in foundations of quantum (field) theory and relativistic quantum information try to better grasp the interplay between the structure of quantum correlations and the constraints imposed by causality on physical operations.…

Quantum Physics · Physics 2015-10-14 Issam Ibnouhsein

Nonrelativistic systems exhibiting collective magnetic behavior are analyzed in the framework of effective Lagrangians. The method, formulating the dynamics in terms of Goldstone bosons, allows to investigate the consequences of spontaneous…

Condensed Matter · Physics 2009-10-31 Christoph P. Hofmann

The behaviour of a relativistic scalar particle in a possible scenario that arises from the violation of the Lorentz symmetry is investigated. The background of the Lorentz symmetry violation is defined by a tensor field that governs the…

High Energy Physics - Theory · Physics 2015-07-02 K. Bakke , H. Belich

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear…

Quantum Physics · Physics 2009-11-10 George Svetlichny

In this chapter we shall discuss the recent progresses of information theoretic tools in the context of free and confined harmonic oscillator. Confined quantum systems have provided appreciable interest in areas of physics, chemistry,…

Quantum Physics · Physics 2021-05-06 Neetik Mukherjee , Amlan K. Roy

Neutrino oscillations provide an opportunity for sensitive tests of Lorentz invariance. This talk reviews some aspects of Lorentz violation in neutrinos and the prospect of testing Lorentz invariance in neutrino-oscillation experiments. A…

High Energy Physics - Phenomenology · Physics 2016-11-03 Matthew Mewes

Recently, calculations which consider the implications of anomalous trilinear gauge-boson couplings, both at tree-level and in loop-induced processes, have been criticized on the grounds that the lagrangians employed are not \gwk gauge…

High Energy Physics - Phenomenology · Physics 2008-02-03 C. P. Burgess , David London

Violations of Lorentz symmetry are typically associated with modifications of one-particle dispersion relations. The physical effects of such modifications in particle collisions often grow with energy, so that ultrahigh-energy cosmic rays…

High Energy Physics - Phenomenology · Physics 2014-03-25 Ralf Lehnert

We study the problem of the instability of inhomogeneous radiation universes in quadratic lagrangian theories of gravity written as a system of evolution equations with constraints. We construct formal series expansions and show that the…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Spiros Cotsakis , Dimitrios Trachilis

The possibility of a frame-induced violation of Lorentz invariance due to non-inertial spin-1/2 particle motion is explored in detail for muon decay while in orbit near the event horizon of a microscopic Kerr black hole. It is explicitly…

High Energy Physics - Theory · Physics 2010-11-19 Dinesh Singh , Nader Mobed

One possible feature of quantum gravity may be the violation of Lorentz invariance. In this paper we consider one particular manifestation of the violation of Lorentz invariance, namely modified dispersion relations for massive neutrinos.…

Astrophysics · Physics 2009-11-13 Dean Morgan , Elizabeth Winstanley , Jurgen Brunner , Lee F. Thompson

The quantum predictions for a single nonrelativistic spin-1/2 particle can be reproduced by noncontextual hidden variables. Here we show that quantum contextuality for a relativistic electron moving in a Coulomb potential naturally emerges…

Quantum Physics · Physics 2013-02-18 Jing-Ling Chen , Hong-Yi Su , Chunfeng Wu , Dong-Ling Deng , Adan Cabello , L. C. Kwek , C. H. Oh

We develop a perturbative framework with which to discuss departures from exact Lorentz invariance and explore their potentially observable ramifications. Tiny non-invariant terms introduced into the standard model Lagrangian are assumed to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sidney Coleman , Sheldon L. Glashow

We explain how the disparate kinematics of quantum mechanics (finite-dimensional Hilbert space of QM) and special relativity (Minkowski spacetime from the Lorentz transformations of SR) can both be based on one principle (relativity…

Quantum Physics · Physics 2024-04-23 W. M. Stuckey , Michael Silberstein , Timothy McDevitt

In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is violated and whether it can be saved with these…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Michael Bishop , Daniel Hooker , Peter Martin , Douglas Singleton

The notion of uniform and/or constant tensor fields of rank $>0$ is incompatible with general curved spacetimes. This work considers the consequences of certain tensor-valued coefficients for Lorentz violation in the Standard-Model…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Charles D. Lane

On the basis of the correspondence principle between the relativistic moving medium electrodynamics and relativistic quantum field theory the covariant Lagrangian of the electromagnetic field interaction with the polarized spin particles…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Belousova , N. V. Maksimenko

A consistent theory of faster-than-light particles (tachyons) can be built replacing the standard Lorentz-invariant approach to the quantum field theory of tachyons by the Lorentz-covariant one, invoking a concept of the preferred reference…

General Physics · Physics 2019-06-17 Vassili F. Perepelitsa
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