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In this paper, the deformed Special Relativity, which leads to an essentially new theoretical context of quantum mechanics, is presented. The formulation of the theory arises from a straightforward analogy with the Special Relativity, but…

General Physics · Physics 2015-10-07 Lukasz Andrzej Glinka

Lorentz Violation (LV) is posited as a possible relic effect of quantum gravity at low energy scales. The Standard-Model Extension provides an effective field-theoretic framework for examining possible deviations attributed to LV. With…

High Energy Astrophysical Phenomena · Physics 2024-04-12 Yiming Dong , Ziming Wang , Lijing Shao

We reconsider velocity addition/subtraction in Special Relativity and re-derive its well-known non-commutative and non-associative algebraic properties in a self contained way, including various explicit expressions for the Thomas angle,…

Mathematical Physics · Physics 2026-03-25 Domenico Giulini

The theory of statistical mechanics is studied in the presence of Lorentz-violating background fields. The analysis is performed using the Standard-Model Extension (SME) together with a Jaynesian formulation of statistical inference.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Don Colladay , Patrick McDonald

The mathematical treatment and graphical representation of Special Relativity (SR) are well established, yet carry deep implications that remain hard to visualize. This paper presents a new graphical interpretation of the geometry of SR…

Classical Physics · Physics 2016-04-06 John H. Marr

A logic of reciprocity between inertial frames in relative uniform motion is investigated. Relativity allows any reference frame to apply Lorentz Transformation while reciprocity would require the relative frame to use Inverse…

Mathematical Physics · Physics 2007-05-23 Chao Y. Yang

The idea that local Lorentz invariance might be violated due to new physics that goes beyond the Standard Model of particle physics and Einstein's General Relativity has received a great deal of interest in recent years. At the same time,…

High Energy Physics - Phenomenology · Physics 2015-06-12 Robert Bluhm

Lorentz-violating operators involving Standard Model fields are tightly constrained by experimental data. However, bounds are more model-independent for Lorentz violation appearing in purely gravitational couplings. The spontaneous breaking…

High Energy Physics - Theory · Physics 2010-04-05 Michael L. Graesser , Alejandro Jenkins , Mark B. Wise

We introduce a new Lorentz-violating modification to a scalar quantum field theory. This interaction, while super-renormalizable by power counting, is fundamentally different from the interactions previously considered within the…

High Energy Physics - Theory · Physics 2009-11-10 B. Altschul

A screening mechanism for conformal vector-tensor modifications of general relativity is proposed. The conformal factor depends on the norm of the vector field and makes the field to vanish in high dense regions, whereas drives it to a…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-31 Jose Beltrán Jiménez , André Luís Delvas Fróes , David F. Mota

Binary pulsars are excellent laboratories to test the building blocks of Einstein's theory of General Relativity. One of these is Lorentz symmetry which states that physical phenomena appear the same for all inertially moving observers. We…

General Relativity and Quantum Cosmology · Physics 2014-05-01 Kent Yagi , Diego Blas , Nicolas Yunes , Enrico Barausse

Besides the defining space-time symmetries (homogeneity and isotropy) of inertial frames, the derivation of Lorentz transformation requires postulating the principle of relativity and the existence of a finite speed limit. In this article,…

Classical Physics · Physics 2017-05-12 Somajit Dey

A new way of supersymmetry breaking involving a dynamical parameter is introduced. It is independent of particle phenomenology and gauge groups. The only requirement is that Lorentz invariance be valid strictly infinitesimally (i. e.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Golubev

Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violating. The directional dependence of the Finsler metric provides a way to encode the Lorentz violating effects into the geometric structure…

High Energy Physics - Theory · Physics 2021-04-29 J. E. G. Silva

We show that the explanation of Thomas-Wigner rotation (TWR) and Thomas precession (TP) in the framework of special theory of relativity (STR) contains a number of points of inconsistency, in particular, with respect to physical…

Classical Physics · Physics 2015-06-19 Alexander Kholmetskii , Tolga Yarman

This research aims to provide the geometrical foundation of the uncertainty principle within a new causal structure of spacetime so-called Symmetrical Special Relativity (SSR), where there emerges a Lorentz violation due to the presence of…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Cláudio Nassif Cruz

Extremely high-energy(EHE) cosmic rays might provide a chance to check a violation of the Lorentz symmetry of spacetime. Some theoretical consideration is described about why the Lorentz symmetry might break-down in EHE phenomena in this…

Astrophysics · Physics 2007-05-23 Humitaka Sato

Interacting massive spin-1 fields have been widely used in cosmology and particle physics. We obtain a new condition on the validity of the classical limit of these theories related to the non-trivial constraints that exist for vector field…

High Energy Physics - Theory · Physics 2022-10-19 Zong-Gang Mou , Hong-Yi Zhang

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

Special relativity beyond its basic treatment can be inaccessible, in particular because introductory physics courses typically view special relativity as decontextualized from the rest of physics. We seek to place special relativity back…

Classical Physics · Physics 2026-04-14 Gerd Wagner , Matthew W. Guthrie