Mass formula for leptons and quarks as suggested by generalized Dirac's square root

Abstract

Basing on the formalism of generalized Dirac equation introduced by the author already many years ago, we suggest a model of formal intrinsic interactions within leptons and quarks of three generations. In this model, the leptons and quarks are treated as some intrinsic composites of algebraic partons, the latter being identified with Dirac bispinor indices appearing in the generalized Dirac equation. This intrinsic model implies a universal mass formula for leptons and quarks of three generations that has been recently proposed on an essentially empirical level.