TL;DR
This paper explores the quantum dynamics of a homogeneous, anisotropic universe using spinfoam cosmology, focusing on a simplified graph model to analyze transition amplitudes and their relation to classical Bianchi I spacetime.
Contribution
It introduces a simplified single-node graph model for spinfoam cosmology that allows calculation of all orders in the spin expansion, highlighting the role of vertex expansion in quantum dynamics.
Findings
Transition amplitudes for the Daisy graph are computed.
The model reproduces classical Bianchi I spacetime behavior.
All orders in the spin expansion can be explicitly calculated.
Abstract
The dynamics of a homogeneous, anisotropic universe are investigated within the context of spinfoam cosmology. Transition amplitudes are calculated for a graph consisting of a single node and three links - the `Daisy graph' - probing the behaviour a classical Bianchi I spacetime. It is shown further how the use of such single node graphs gives rise to a simplification of states such that all orders in the spin expansion can be calculated, indicating that it is the vertex expansion that contains information about quantum dynamics.
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