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The idea that Lorentz-symmetry in momentum space could be modified but still remain observer-independent has received quite some attention in the recent years. This modified Lorentz-symmetry, which has been argued to arise in Loop Quantum…

General Relativity and Quantum Cosmology · Physics 2014-07-30 Sabine Hossenfelder

Lorentz symmetry is the fundamental symmetry of Einstein's theory of Special Relativity and has been tested to great precision. Nevertheless, the possibility remains that it is violated at the Planck scale, as predicted by some theories of…

High Energy Physics - Phenomenology · Physics 2026-04-16 Fabian Kislat

Quantizing the gravitational field described by General relativity being a notorious difficult, unsolved and maybe meaningless problem I use in this essay a different strategy: I consider a linear theory in the framework of Special…

General Physics · Physics 2016-03-28 Ll. Bel

The physical intepretation of effective field theories of fundamental interactions incorporating large Lorentz violation is a long-standing challenge, known as the concordance problem. In condensed-matter physics, certain Weyl semimetals…

High Energy Physics - Phenomenology · Physics 2025-12-03 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

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

Since 1983 the meter is defined to be the "length of the path travelled by light in vacuum during a time interval of 1/299792458 of a second". If there was exactly one single consistent method of synchronizing clocks, or if all…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Ostermann

Recent claims point out that possible violations of Lorentz symmetry appearing in some semiclassical models of extended matter dynamics motivated by loop quantum gravity can be removed by a different choice of canonically conjugated…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jorge Alfaro , Marat Reyes , Hugo A. Morales-Tecotl , L. F. Urrutia

In this extended note a critical discussion of an extension of the Lorentz transformations for velocities faster than the speed of light given recently by Hill and Cox is provided. The presented approach reveals the connection between…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Congrui Jin , Markus Lazar

An analysis of the Lorentz transformation shows that the unchangeability of the space-time coordinates of the inertial systems under consideration and the possibility of a direct projection of those coordinates onto another are the…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

These are intended to be review notes on emergent symmetries, i.e., symmetries which manifest themselves in specific sectors of energy in many systems. The emphasis is on the physical aspects rather than computation methods. We include some…

High Energy Physics - Theory · Physics 2016-03-17 Pedro R. S. Gomes

It is nowadays clear that General Relativity cannot be the definitive theory of Gravitation due to several shortcomings that come out both from theoretical and experimental viewpoints. At large scales (astrophysical and cosmological) the…

General Relativity and Quantum Cosmology · Physics 2009-10-02 S. Capozziello , M. De Laurentis , M. Francaviglia , S. Mercadante

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a…

Classical Physics · Physics 2021-11-02 Biplab Raychaudhuri , Souvik Ghose , Arunabha Bhadra

We argue that it is fundamentally impossible to recover information about quantum superpositions when a system has interacted with a sufficiently large number of degrees of freedom of the environment. This is due to the fact that gravity…

Quantum Physics · Physics 2010-01-07 Rodolfo Gambini , Luis Pedro Garcia Pintos , Jorge Pullin

A hypothetical violation of Lorentz invariance in the electrons' equation of motion (expressed within the Lorentz-violating extension of the standard model) leads to a change of the geometry of crystals and thus shifts the resonance…

High Energy Physics - Phenomenology · Physics 2008-11-26 Holger Mueller , Sven Herrmann , Alejandro Saenz , Achim Peters , Claus Laemmerzahl

The observation of the bending of light by mass, now known as gravitational lensing, was key in establishing general relativity as one of the pillars of modern physics. In the past couple of decades, there has been increasing interest in…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Arthur B. Congdon , Savitri V. Iyer , Charles R. Keeton

The principle of invariance of the velocity of light is only valid for the wrong measurements of inertial observers who ignore their own movement and consider themselves at rest. The Langevin (or clock) paradox arises when it is assumed…

Classical Physics · Physics 2008-03-17 A. Lopez-Ramos

The apparent discrepancy between the bending of light predicted by the equivalence principle and its corresponding value in general relativity is resolved by evaluating the deflection of light with respect to a direction that is parallel…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rafael Ferraro

The measurement conundrum seems to have plagued quantum mechanics for so long that impressions of an inconsistency amongst its axioms have spawned. A demonstration that such purported inconsistency is fictitious may then be in order and is…

Quantum Physics · Physics 2016-09-08 Tristan Hübsch

A simple theorem on proportionality of indefinite real quadratic forms is proved, and is used to clarify the proof of the invariance of the interval in Special Relativity from Einstein's postulate on the universality of the speed of light;…

General Mathematics · Mathematics 2009-08-04 John H. Elton

The Halting Problem is ill-conceived and ill-defined.

Logic in Computer Science · Computer Science 2016-06-29 Eric C. R. Hehner