A geometrical meaning to the electron mass from breakdown of Lorentz invariance

Abstract

We discuss the problem of the electron mass in the framework of Deformed Special Relativity (DSR), a generalization of Special Relativity based on a deformed Minkowski space (i.e. a four-dimensional space-time with metric coefficients depending on the energy). We show that, by such a formalism, it is possible to derive the value of the electron mass from the space-time geometry via the experimental knowledge of the parameter of local Lorentz invariance breakdown, and of the Minkowskian threshold energy $E_{0,em}$ for the electromagnetic interaction. We put forward the suggestion that mass generation can be related, in DSR, to the possible dependence of mass on the metric background (relativity of mass).

arXiv comment15 pages. To be published in the monography "What is electron?", Apeiron (2005)

References in corpus (3)

• Killing symmetries of generalized Minkowski spaces. 1-Algebraic-infinitesimal structure of space-time rotation groups
• Killing symmetries of generalized Minkowski spaces. 2-Finite structure of space-time rotation groups
• Killing symmetries of generalized Minkowski spaces. 3-Space-time translations in four dimensions

Cited by in corpus (1)

• A new pseudo-Kaluza-Klein scheme for geometrical description of interactions