Particles within extended-spin space: Lagrangian connection

TL;DR

This paper reviews a spin-space extension model that offers new insights into the standard model's symmetries and representations, comparing a (5+1)-dimensional lepton-W Lagrangian with the standard model and discussing its advantages.

Contribution

It introduces a spin-space extension providing a unified matrix framework for symmetries, and compares its lepton-W Lagrangian with the standard model to derive matching conditions.

Findings

Derived conditions for matching the extended model with the standard model.

Compared the (5+1)-dimensional Lagrangian with the standard model.

Discussed advantages of the spin-space extension over other models.

Abstract

A spin-space extension is reviewed, which provides information on the standard model. Its defining feature is a common matrix space that describes symmetries and representations, and leads to limits on these, for given dimension. The model provides additional information on the standard model, whose interpretation requires an interactive formulation. Within this program, we compare the model's lepton-W generated interactive Lagrangian in (5+1)-dimensions, and that of the standard model. We derive the conditions for this matching, which apply to other Lagrangian terms. We also discuss the advantages of this extension, as compared to others.