F. Cardone, A. Marrani, R. Mignani
Deformed Special Relativity (DSR) is 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, in the DSR framework, 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 E0,em for the electromagnetic interaction.
Electromagnetic Phenomena (Special Iussue for Dirac’s Centenary) 3, 11 (2003)