Preon Model, Knot Algebra and Gravity

Abstract

I study the properties of a preon model for the substructure of the standard model quarks and leptons. The goal is to establish both local and global group representations for the particles of the model. Knot theory algebra SLq(2) is shown to be applicable to the model. Teleparallel gravity is discussed with an interesting result to hadronic physics. A tentative glimpse on quantum gravity is indicated.

On the Preon Model

“…It was assumed that the quarks have substructures called the preons [1] [2]. Several preon models were proposed [3]- [11] to explain the Standard Model SM, predicting small discrepancies with such a model and generating new particles and certain phenomena, which are outside the Standard Model. The preon models were introduced among other things to mainly reduce a large number of particles, many that differ only in charge, to a smaller number of more fundamental particles.…”