Can Leptons Be Considered Effectively as Local 3-Quark Composites?

Abstract

The idea about leptons as local composites of 3 quarks is strongly suggested by the mathematical structure of TGD. Later it was realized that it is enough that leptons look like local composites in scales longer than CP₂ scale defining the scale of the partonic 2-surface assignable to the particle. The proposal has profound consequences. One might say that SUSY in the TGD sense has been  below our nose for more than a century. The proposal could also solve matter-antimatter asymmetry since the twistor-lift of TGD predicts the analog of Kahler structure for Minkowski space and a small CP breaking, which could make possible a cosmological evolution in which quarks prefer to form baryons and antiquarks to form leptons. The basic objection is that the leptonic analog of Δ might emerge. One must explain why this state is at least experimentally absent and also develop a detailed model. In this article the construction of leptons as effectively local 3 quark states allowing effective description in terms of the  modes of leptonic spinor field in H = M⁴ x CP₂  having H-chirality opposite to quark spinors is discussed in detail.