Propagating spin modes in canonical quantum gravity

TL;DR

This paper explores how spin modes propagate in a simplified model of canonical quantum gravity, revealing gauge-invariant dynamics of spin network states and their potential physical implications.

Contribution

It introduces a model allowing spin changes in spin networks and analyzes the resulting propagating spin modes within canonical quantum gravity.

Findings

Gauge invariance restricts spin values and induces propagating modes.

The model demonstrates dynamic spin propagation consistent with quantum gravity principles.

Various parameter assumptions affect the behavior of spin modes.

Abstract

One of the main results in canonical quantum gravity is the introduction of spin network states as a basis on the space of kinematical states. To arrive at the physical state space of the theory though we need to understand the dynamics of the quantum gravitational states. To this aim we study a model in which we allow for the spins, labeling the edges of spin networks, to change according to simple rules. The gauge invariance of the theory, restricting the possible values for the spins, induces propagating modes of spin changes. We investigate these modes under various assumptions about the parameters of the model.