
TL;DR
This paper introduces a novel approach to early cosmology using Loop Quantum Gravity, employing advanced quantum techniques to model inhomogeneous universes and presenting initial results on the scalar constraint solutions.
Contribution
It develops a quantum reduction method within LQG for inhomogeneous cosmology using spinnetworks and spinfoam techniques, providing a new framework for the field.
Findings
Preliminary solutions to the scalar constraint are obtained.
A quantum reduction suitable for inhomogeneous models is proposed.
The approach integrates spinnetworks, coherent states, and spinfoams.
Abstract
We present a new perspective on early cosmology based on Loop Quantum Gravity. We use projected spinnetworks, coherent states and spinfoam techniques, to implement a quantum reduction of the full Kinematical Hilbert space of LQG, suitable to describe inhomogeneous cosmological models. Some preliminary results on the solutions of the Scalar constraint of the reduced theory are also presented.
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