Abstract
Lorentz invariance violation is a common feature of new physics beyond the Standard Model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz invariance violation. The counterparts of the Lorentz transformation in the Einstein's special relativity are presented explicitly. The coordinate transformations are unitary and form a group. Generators and algebra satisfied by them are different from usual Lorentz ones. The Randersian line element as well as speed of light is invariant under the transformations. In particular, there is another invariant speed which may be related with Planck scale and the mass of moving particle. Thus, the Randers spaces is a suitable framework to discuss the Lorentz invariance violation.
Highlights
Lorentz Invariance violation is a common feature of new physics beyond the standard model
The theory with SIM(2) symmetry is refereed as the Very Special Relativity (VSR)
Liberati and Sindoni[15] showed that the modified dispersion relations (MDR) can be incorporated into the framework of Finsler geometry
Summary
S dτ dτ Throughout the Letter, the lowering and raising of indices are carried out by the fundamental tensor gij defined above, and its matrix inverse gij.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
