Cohen, Andrew G.; Glashow, Sheldon L. Very special relativity. (English) Zbl 1228.83009 Phys. Rev. Lett. 97, No. 2, Article ID 021601, 3 p. (2006). Summary: By very special relativity (VSR) we mean descriptions of nature whose space-time symmetries are certain proper subgroups of the PoincarĂ© group. These subgroups contain space-time translations together with at least a two-parameter subgroup of the Lorentz group isomorphic to that generated by \(K_x+J_y\) and \(K_y-J_x\). We find that VSR implies special relativity (SR) in the context of local quantum field theory or of CP conservation. Absent both of these added hypotheses, VSR provides a simulacrum of SR for which most of the consequences of Lorentz invariance remain wholly or essentially intact, and for which many sensitive searches for departures from Lorentz invariance must fail. Several feasible experiments are discussed for which Lorentz-violating effects in VSR may be detectable. Cited in 41 Documents MSC: 83A05 Special relativity PDF BibTeX XML Cite \textit{A. G. Cohen} and \textit{S. L. Glashow}, Phys. Rev. Lett. 97, No. 2, Article ID 021601, 3 p. (2006; Zbl 1228.83009) Full Text: DOI References: [1] DOI: 10.1103/PhysRevD.59.116008 · doi:10.1103/PhysRevD.59.116008 [2] DOI: 10.1016/S0370-2693(97)00638-2 · doi:10.1016/S0370-2693(97)00638-2 [3] DOI: 10.1103/PhysRevD.55.6760 · doi:10.1103/PhysRevD.55.6760 [4] DOI: 10.1103/PhysRevD.58.116002 · doi:10.1103/PhysRevD.58.116002 [5] DOI: 10.1016/j.physletb.2005.04.010 · doi:10.1016/j.physletb.2005.04.010 [6] DOI: 10.1103/PhysRevLett.88.071805 · doi:10.1103/PhysRevLett.88.071805 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.