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Lorentz invariance belongs to the fundamental symmetries of nature. It is basic for the successful Standard Model of Particle Physics. Nevertheless, within the last decades, Lorentz invariance has been repeatedly questioned. In fact, there…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Yuri N. Obukhov , Friedrich W. Hehl

In this note we review the problem of time delay of photons propagating in a spacetime with a metric that explicitly depends on the energy of the particles (Gravity-Rainbow approach). We show that corrections due to this approach -- which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. F. Grillo , E. Luzio , F. Mendez

General violations of Lorentz symmetry can be described by the Standard-Model Extension (SME) framework. The SME predicts modifications to existing physics and can be tested in high-precision experiments. By looking for small deviations…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Rui Xu

Special Relativity (SR) determines the properties of synchrotron radiation, but the corresponding mechanisms are frequently misunderstood. Time dilation is often invoked among the causes, whereas its role would violate the principles of SR.…

General Physics · Physics 2017-07-04 G. Margaritondo , J. Rafelski

The spectral lags of gamma-ray bursts (GRBs) have been viewed as the most promising probes of the possible violations of Lorentz invariance (LIV). However, these constraints usually depend on the assumption of the unknown intrinsic time lag…

High Energy Astrophysical Phenomena · Physics 2021-01-06 Shen-Shi Du , Lin Lan , Jun-Jie Wei , Zi-Ming Zhou , He Gao , Lu-Yao Jiang , Bin-Bin Zhang , Zi-Ke Liu , Xue-Feng Wu , En-Wei Liang , Zong-Hong Zhu

A clock synchronization thought experiment is modeled by a diffeomorphism invariant "time delay" observable. In a sense, this observable probes the causal structure of the ambient Lorentzian spacetime. Thus, upon quantization, it is…

General Relativity and Quantum Cosmology · Physics 2014-02-04 Béatrice Bonga , Igor Khavkine

The conventional discussion of the observed distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations, from a stationary frame, of : (i) objects…

Popular Physics · Physics 2009-11-06 J. H. Field

We make a reanalysis on the issue of neutrino speed anomaly by taking into account the newly reported data from the ICARUS experiment and other CNGS collaborations. We examine the consequence of the Lorentz violation on the neutrino speed…

High Energy Physics - Phenomenology · Physics 2013-04-30 Zhou Lingli , Bo-Qiang Ma

We have developed an apparatus to search for the higher-order Lorentz violation in photons by measuring the resonant frequency difference between two counterpropagating directions of an asymmetric optical ring cavity. From the year-long…

General Relativity and Quantum Cosmology · Physics 2016-02-02 Yuta Michimura , Jake Guscott , Matthew Mewes , Nobuyuki Matsumoto , Noriaki Ohmae , Wataru Kokuyama , Yoichi Aso , Masaki Ando

If textbook Lorentz invariance is actually a property of the equations describing a sector of the excitations of vacuum above some critical distance scale, several sectors of matter with different critical speeds in vacuum can coexist and…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

Lorentz invariance is one of the fundamental principles of physics, and, as such, it must be experimentally tested. The purpose of this work is to obtain, within the Standard-Model Extension, the dynamics of a Lorentz-violating spinor in a…

High Energy Physics - Phenomenology · Physics 2013-11-12 Yuri Bonder

Special relativity theory is well established and confirmed by experiments. This research establishes an operational measurement way to express the great theory in a geometrical form. This may be valuable for understanding the underlying…

General Physics · Physics 2007-05-23 Xiao Jianhua

The Lorentz transformation is used to analyse space and time coordinates corresponding to two spatially-separated clocks in the same inertial frame. The time dilatation effect is confirmed, but not `relativity of simultaneity' or…

General Physics · Physics 2009-09-01 J. H. Field

An experimental test of the Newtonian inverse square law at short range has been used to set limits on Lorentz violation in the pure gravity sector of the Standard-Model Extension. On account of the planar test mass geometry, nominally null…

General Relativity and Quantum Cosmology · Physics 2017-08-23 D. Bennett , V. Skavysh , J. Long

We present new results from our test of Lorentz invariance, which compares two orthogonal cryogenic sapphire microwave oscillators rotating in the lab. We have now acquired over 1 year of data, allowing us to avoid the short data set…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul L. Stanwix , Michael E. Tobar , Peter Wolf , Clayton R. Locke , Eugene N. Ivanov

If the observation by OPERA of apparently superluminal neutrinos is correct, the Lagrangian for second-generation leptons must break Lorentz invariance. We calculate the effects of an energy-independent change in the neutrino speed on…

High Energy Physics - Phenomenology · Physics 2011-11-15 Brett Altschul

Translational invariance requires that physical predictions are independent of the choice of spatial coordinate system used. The time dilatation effect of special relativity is shown to manifestly respect this invariance. Consideration of…

General Physics · Physics 2014-07-30 J. H. Field

Recently there has been a renewed activity in the physics of violations of Lorentz invariance in the neutrino sector. Flavor dependent Lorentz violation, which generically changes the pattern of neutrino oscillations, is extremely tightly…

High Energy Physics - Phenomenology · Physics 2013-04-05 Luca Maccione , Stefano Liberati , David M. Mattingly

In theories, whose Lorentz invariance is violated by involvement of an external any-rank tensor, we show that the standard relativistic rule still holds true for summing the signal speed, understood as the group velocity of a wave, with the…

High Energy Physics - Theory · Physics 2016-11-22 Anatoly E. Shabad

We present the first results from a rotating Michelson-Morley experiment that uses two orthogonally orientated cryogenic sapphire resonator-oscillators operating in whispering gallery modes near 10 GHz. The experiment is used to test for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul L. Stanwix , Michael E. Tobar , Peter Wolf , Mohamad Susli , Clayton R. Locke , Eugene N. Ivanov , John Winterflood , Frank van Kann