Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Insight into the Cosmological Sector of Loop Quantum Gravity   This article sheds new light on the problem of cosmological reduction in Loop
Quantum Gravity. We critically analyze Quantum Reduced Loop Gravity -- an
attempt to extract the cosmological sector of the full theory. We reconsider
the reduction procedure applied to the states of the kinematical Hilbert space,
developing a comparative analysis with previous efforts in the literature. We
show that the constraints of the model were formerly instantiated in an
inconsistent fashion, leading to an overconstrained dynamics and an ill-defined
Hilbert space. We then scrutinize alternative implementations of
symmetry-reduction. While remaining unaffected by the shortcomings encountered
in Quantum Reduced Loop Gravity, these latter procedures bridge the gap between
the full theory and former endeavors in Loop Quantum Cosmology.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
30
The categories of this paper are: q-alg