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Is the diagonal case a general picture for loop quantum cosmology?

Physical Review D, ISSN: 2470-0029, Vol: 108, Issue: 4
2023
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Article Description

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 nonvanishing 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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