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While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Mattingly , Ted Jacobson

In this letter we reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. We argue that, generally, Lorentz invariance can only be imposed in the sense that all Lorentz non-invariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

A high energy power law is a common feature in the spectra of many astrophysical objects. We show that the photons in a relativistic plasma with a variable Lorentz factor go through repeated scattering with electrons to gain energy. The…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Mukesh K. Vyas , Asaf Pe'er

We present an updated review of Lorentz invariance tests in Effective field theories (EFT) in the matter as well as in the gravity sector. After a general discussion of the role of Lorentz invariance and a derivation of its transformations…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Stefano Liberati

It is shown that the field equations derived from an effective interaction hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using rotational invariant states (such as weave states)…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. N. Kozameh , M. F. Parisi

The problem of the classical non-relativistic electromagnetically kicked oscillator can be cast into the form of an iterative map on phase space. The original work of Zaslovskii {\it et al} showed that the resulting evolution contains a…

High Energy Physics - Theory · Physics 2007-05-23 L. P. Horwitz

Hadron properties and interactions are emergent from QCD. Atomic and condensed matter physics are emergent from QED. Could the local gauge symmetries of particle physics also be emergent? We give an introduction to this question and recent…

High Energy Physics - Phenomenology · Physics 2020-10-05 Steven D. Bass

Employing induced representations of the Lorentz group (Wigner's little group construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing Lorentz invariance of the S…

High Energy Physics - Phenomenology · Physics 2013-05-30 Johannes Heinonen , Richard J. Hill , Mikhail P. Solon

Special relativity is foundation of many branches of modern physics, of which theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use…

Quantum Physics · Physics 2019-04-18 Da-Bao Yang , Yan Li , Fu-Lin Zhang , Jing-Ling Chen

In this essay we marshal evidence suggesting that Einstein gravity may be an emergent phenomenon, one that is not ``fundamental'' but rather is an almost automatic low-energy long-distance consequence of a wide class of theories.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Carlos Barcelo , Matt Visser , Stefano Liberati

In the past decade the phenomenology of quantum gravity has been dominated by the search of violations of Lorentz invariance. However, there are very serious arguments that led us to assume that this invariance is a symmetry in Nature. This…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Yuri Bonder

It has been suggested that one may construct a Lorentz-invariant noncommutative field theory by extending the coordinate algebra to additional, fictitious coordinates that transform nontrivially under the Lorentz group. Integration over…

High Energy Physics - Phenomenology · Physics 2009-11-11 Christopher D. Carone , Herry J. Kwee

An extension of the finite and infinite Lie groups properties of complex numbers and functions of complex variable is proposed. This extension is performed exploiting hypercomplex number systems that follow the elementary algebra rules. In…

Mathematical Physics · Physics 2007-05-23 Francesco Catoni , Paolo Zampetti

We consider a scenario where local Lorentz invariance is violated by the existence of a preferred time direction at every space-time point. This scenario can arise in the context of quantum gravity and its description at low energies…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-16 B. Audren , D. Blas , M. M. Ivanov , J. Lesgourgues , S. Sibiryakov

We point out that violation of Lorentz invariance affects the interaction of high-energy photons with the Earth's atmosphere and magnetic field. In certain parameter region this interaction becomes suppressed and the photons escape…

High Energy Astrophysical Phenomena · Physics 2014-07-01 Grigory Rubtsov , Petr Satunin , Sergey Sibiryakov

High-resolution numerical simulations are utilized to examine isotropic turbulence in a compressible fluid when long wavelength velocity fluctuations approach light speed. Spectral analysis reveals an inertial sub-range of relativistic…

High Energy Astrophysical Phenomena · Physics 2013-01-04 Jonathan Zrake , Andrew MacFadyen

According to special relativity and the equivalence principle, the Newtonian gravitational force between two particles with relativistic velocities increases significantly with velocity and in fact becomes unbound as the latter approaches…

General Physics · Physics 2011-01-26 Constantinos G. Vayenas , Stamatios Souentie

Local Lorentz invariance violation can be realized by introducing extra tensor fields in the action that couple to matter. If the Lorentz violation is rotationally invariant in some frame, then it is characterized by an ``aether'', i.e. a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Jacobson , D. Mattingly

The invariant mass of free particles is used to derive a bound-state equation for the hydrogen atom at rest. This equation has the well-known solutions for the single-particle states. Existence of two-particle bound states, for which the…

General Physics · Physics 2023-08-28 A. I. Agafonov

Magnetic reconnection is often invoked as a source of high-energy particles, and in relativistic astrophysical systems it is regarded as a prime candidate for powering fast and bright flares. We present a novel analytical model - supported…

High Energy Astrophysical Phenomena · Physics 2023-02-27 Hao Zhang , Lorenzo Sironi , Dimitrios Giannios , Maria Petropoulou
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