Emergence of scalar matter from spinfoam model

TL;DR

This paper develops a spinfoam model for 3D gravity coupled with a scalar field, showing how matter emerges from quantum geometric states and providing insights into unifying matter and geometry.

Contribution

It introduces a combinational discretization of scalar matter in a spinfoam framework, revealing how matter physics arises from quantum geometry.

Findings

Scalar matter physics encoded in modified spin-network dynamics

Emergence of matter phenomena from microscopic quantum geometry

Supports unification of matter and geometry at quantum level

Abstract

A spinfoam model of 3D gravity non-minimally coupled with a scalar field is studied. By discretization of the scalar field, the model is worked out precisely in a purely combinational way. It is shown that the quantum physics of the scalar matter are totally encoded into the modified dynamics of SU(2) spin-network states which describe the quantum geometry of space. It turns out that the physics of the scalar matter coupled with gravity manifested in the low energy scale can be viewed as the phenomena emerged from this microscopical construction. This gives rise to a radical observation on the issue of the unification of geometry and matter.