A Homogeneous Model of Spinfoam Cosmology

TL;DR

This paper develops a simplified spinfoam cosmology model using a homogeneous graph, demonstrating that the dynamics avoid zero-volume states and potentially resolve big bang singularities.

Contribution

It introduces a homogeneous graph approach to spinfoam cosmology and analyzes dynamics that exclude zero-volume singularities.

Findings

Dynamics are peaked on non-zero volume solutions.

Big bang singularities are avoided in the model.

Framework established for anisotropic extensions.

Abstract

We examine spinfoam cosmology by use of a simple graph adapted to homogeneous cosmological models. We calculate dynamics in the isotropic limit, and provide the framework for the aniostropic case. The dynamical behaviour is calculating transition amplitudes between holomorphic coherent states on a single node graph. The resultant dynamics is peaked on solutions which have no support on the zero volume state, indicating that big bang type singularities are avoided within such models.