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We discuss several phenomenological implications of Very Special Relativity (VSR). It is assumed that there is a small violation of Lorentz invariance and the true symmetry group of nature is a subgroup called SIM(2). This symmetry group…

高能物理 - 唯象学 · 物理学 2017-10-25 Alekha C. Nayak , Pankaj Jain

The theory of very special relativity (VSR) proposed by Cohen and Glashow contains an intrinsic preferred direction. Starting from the irreducible unitary representation of the inhomogeneous VSR group $ISIM(2)$, we present a rigorous…

高能物理 - 理论 · 物理学 2016-02-23 Cheng-Yang Lee

By Very Special Relativity (VSR) we mean descriptions of nature whose space-time symmetries are certain proper subgroups of the Poincar\'e group. These subgroups contain space-time translations together with at least a 2-parameter subgroup…

高能物理 - 唯象学 · 物理学 2009-11-11 Andrew G. Cohen , Sheldon L. Glashow

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance. It can not be regarded as a fundamental symmetry of nature because many observed phenomena depend on the existence of Lorentz…

高能物理 - 理论 · 物理学 2014-09-22 Jorge Alfaro , Victor O. Rivelles

This thesis studies the symmetries and phenomenologies of the massive vector fields of indefinite spin with both scalar and spin-one degrees of freedom and Elko. The investigation is conducted by using and extending the quantum field theory…

高能物理 - 理论 · 物理学 2013-06-26 Cheng-Yang Lee

In this work, we explore the implications of the Cohen and Glashow Very Special Relativity (VSR) theory, a framework that introduces Lorentz invariance violation through the presence of a preferred direction. Our analysis focuses on the…

高能物理 - 唯象学 · 物理学 2025-01-27 I. H. Brevik , M. M. Chaichian , B. A. Couto e Silva , B. L. Sánchez-Vega

In this thesis, we investigate the implications of Lorentz-violating (LV) theories, focusing on Very Special Relativity (VSR) and its phenomenological consequences. Initially presented as an alternative mechanism for neutrino masses, VSR…

高能物理 - 唯象学 · 物理学 2025-07-30 Alessandro Santoni

We show that the Cohen-Glashow Very Special Relativity (VSR) theory [1] can be realized as the part of the Poincar\'e symmetry preserved on a noncommutative Moyal plane with light-like noncommutativity. Moreover, we show that the three…

高能物理 - 理论 · 物理学 2010-05-12 M. M. Sheikh-Jabbari , A. Tureanu

The Cohen-Glashow Very Special Relativity (VSR) algebra [arXiv:hep-ph/0601236] is defined as the part of the Lorentz algebra which upon addition of CP or T invariance enhances to the full Lorentz group, plus the space-time translations. We…

高能物理 - 唯象学 · 物理学 2014-11-18 M. M. Sheikh-Jabbari , A. Tureanu

The Very Special Relativity Electroweak Standard Model (VSR EW SM) is a theory with $SU(2)_L \times U(1)_R$ symmetry, with the same number of leptons and gauge fields as in the usual Weinberg-Salam (WS) model. No new particles are…

高能物理 - 唯象学 · 物理学 2015-06-11 Jorge Alfaro , Pablo González , Ricardo Ávila

Glashow and Cohen claim that many results of special theory of relativity (SR) like time dilation, relativistic velocity addition, etc, can be explained by using certain proper subgroups, of the Lorentz group, which collectively form the…

经典物理 · 物理学 2011-05-25 Biplab Dutta , Kaushik Bhattacharya

General Very Special Relativity (GVSR) is the curved space-time of Very Special Relativity (VSR) proposed by Cohen and Glashow. The geometry of GVSR possesses a line element of Finsler Geometry proposed by Bogoslovsky. We calculate the…

广义相对论与量子宇宙学 · 物理学 2009-10-29 A. P. Kouretsis , M. Stathakopoulos , P. C. Stavrinos

Glashow and Cohen make the interesting observation that certain proper subgroups of the Lorentz group like HOM(2) or SIM(2) can explain many results of special relativity like time dilation, relativistic velocity addition and a maximal…

高能物理 - 唯象学 · 物理学 2011-01-20 Suratna Das , Subhendra Mohanty

Very Special Relativity (VSR) framework, proposed by Cohen and Glashow [1], demonstrated that a proper subgroup of the Poincar\'e group, (in particular ISIM(2)), is sufficient to describe the spacetime symmetries of the so far observed…

高能物理 - 理论 · 物理学 2015-05-18 Sudipta Das , Subir Ghosh , Salvatore Mignemi

We consider violation of Lorentz invariance in QED induced by a very high frequency background wave. An effective theory is obtained by averaging observables over the rapid field oscillations. This preserves Ward identities and restores…

高能物理 - 理论 · 物理学 2016-09-07 Anton Ilderton

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance due to an intrinsic preferred direction. We study the VSR modified extended BRST and anti-BRST symmetry of the Batalin-Vilkovisky…

高能物理 - 理论 · 物理学 2017-03-20 Sudhaker Upadhyay , Mushtaq B. Shah , Prince A. Ganai

In the framework of Einstein's gravity, we study the thermodynamic equation state, $P=P(V,T)$, associated with a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) universe. In this scenario, we consider the components of the dark sector as…

广义相对论与量子宇宙学 · 物理学 2024-07-25 Miguel Cruz , Samuel Lepe , Joel Saavedra

An intrinsic mass generation mechanism for exotic ELKO dark matter fields is scrutinized, in the context of the very special relativity (VSR). Our results are reported on unraveling inequivalent spin structures that educe an additional term…

高能物理 - 理论 · 物理学 2012-10-08 Alex E. Bernardini , Roldao da Rocha

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…

广义相对论与量子宇宙学 · 物理学 2024-09-10 Cláudio Nassif Cruz

Should projects of space experiments on ultra-high energy cosmic rays be supported, whatever AUGER results will turn out to be? We claim that this is indeed the case. It is now widely admitted that models of Lorentz symmetry violation (LSV)…

高能物理 - 唯象学 · 物理学 2007-05-23 Luis Gonzalez-Mestres
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