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

Fabio Cardone; Alessio Marrani; Roberto Mignani

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arXiv · hep-th/0505137

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

Fabio Cardone·Alessio Marrani·Roberto Mignani

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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).

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Fabio Cardone, Alessio Marrani, Roberto Mignani. 2005-05-16. A geometrical meaning to the electron mass from breakdown of Lorentz invariance. https://arxiv.org/abs/hep-th/0505137

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