Discrete Symmetry in the EPRL Model and Neutrino Physics

TL;DR

This paper explores extending the EPRL quantum gravity model using monoidal functors to incorporate neutrino physics and potentially include the standard model.

Contribution

It introduces a novel extension of the EPRL model leveraging the theory of modules over monoidal functors, aiming to unify quantum gravity with the standard model.

Findings

Proposes a new interpretation of the EPRL model using the time functor.

Extends the EPRL model to include neutrino physics.

Lays groundwork for integrating the standard model into quantum gravity.

Abstract

In \cite{C1}, we proposed a new interpretation of the EPRL quantization of the BC model for quantum general relativity using a monoidal functor we call the time functor. In this preliminary draft we apply the theory of modules over monoidal functors \cite{Y1} to the time functor, to propose an extension of the EPRL model which would include the standard model. This is motivated by recent advances in neutrino Physics.