Holography in the EPRL Model

TL;DR

This paper introduces a novel interpretation of the EPRL model using a functor called the time functor, proposing a holographic version of the model under specific cosmological assumptions.

Contribution

It presents the first example of a CLa-ren functor and explores holography in the EPRL model with potential links to model category theory.

Findings

Introduction of the time functor as a CLa-ren functor

Construction of a holographic version of the EPRL model

Discussion of generalizations and theoretical connections

Abstract

In this research announcement, we propose a new interpretation of the EPR quantization of the BC model using a functor we call the time functor, which is the first example of a CLa-ren functor. Under the hypothesis that the universe is in the Kodama state, we construct a holographic version of the model. Generalisations to other CLa-ren functors and connections to model category theory are considered.