On the interplay between the notions of Randers space and gauge invariance

Abstract

In this paper we argue that when gauge invariance is taken into consideration, there is no consistent geometric framework of Finsler class that can accommodate Randers type spaces. In this context, an alternative non-Finslerian framework for Randers spacetimes compatible with gauge invariance is introduced.

14 pages, minor corrections

References in corpus (3)

• Fermat Principle in Finsler Spacetimes
• Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
• Asymptotic analysis of ultra-relativistic charge

Cited by in corpus (2)

• A note on Clifford bundles and certain Finsler type spaces
• Averaged dynamics of ultra-relativisitc charged particles beams