Is the diagonal case a general picture for Loop Quantum Cosmology?

• URL: http://arxiv.org/abs/2306.10934v2
• Date: Wed, 28 Jun 2023 13:23:51 GMT
• Title: Is the diagonal case a general picture for Loop Quantum Cosmology?
• Abstract summary: The role of this symmetry is expressed by the Gauss constraint. We show that using suitable variables, it can be recast into three Abelian constraints.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The correct implementation of the Loop Quantum Gravity to the early homogeneous Universe has been the subject of a long debate in the literature because the SU(2) symmetry cannot be properly retained. The role of this symmetry is expressed by the Gauss constraint. Here, a non-vanishing Gauss constraint is found. However, we show that using suitable variables, it can be recast into three Abelian constraints, justifying the absence of such a symmetry in Loop Quantum Cosmology.

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