Propagation and interaction of chiral states in quantum gravity

TL;DR

This paper investigates the behavior of braid states in quantum gravity models, analyzing their stability, propagation, and interactions within spin networks and Pachner move dynamics.

Contribution

It introduces a classification of simple braid states in quantum gravity, detailing their interaction and propagation properties in embedded spin networks.

Findings

Identifies three classes of braid states: interacting and propagating, only propagating, and neither.

Provides results for both framed and unframed braid cases.

Shows that most simple braids neither propagate nor interact.

Abstract

We study the stability, propagation and interactions of braid states in models of quantum gravity in which the states are four-valent spin networks embedded in a topological three manifold and the evolution moves are given by the dual Pachner moves. There are results for both the framed and unframed case. We study simple braids made up of two nodes which share three edges, which are possibly braided and twisted. We find three classes of such braids, those which both interact and propagate, those that only propagate, and the majority that do neither.