The Principle of Solidarity: Geometrical Descriptions of Interactions

Abstract

We discuss the possibility of geometrizing interactions by exploiting the "principle of solidarity" between space-time and the physical phenomena occurring in it (formulated by the Italian matematician B. Finzi in 1955). This is accomplished by means of a deformation of the Minkowski metric, implemented by assuming that the metric coefficients depend on the energy of the process considered. Such a formalism ("Deformed Special Relativity") allows one, among the others, to deal with the breakdown of Lorentz invariance and to recover it in a generalized sense.