Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
Johannes Brunnemann, Thomas Thiemann

TL;DR
This paper provides rigorous proofs supporting the claim that Loop Quantum Gravity can avoid cosmological curvature singularities, advancing the understanding of quantum gravitational effects in cosmology.
Contribution
It delivers the mathematical proofs confirming singularity avoidance in full Loop Quantum Gravity, building on previous claims.
Findings
Proofs confirm singularity avoidance in LQG
Supports the viability of LQG in cosmological models
Advances theoretical understanding of quantum gravity effects
Abstract
In this paper we deliver the proofs for the claims, made in a companion paper, concerning the avoidance of cosmological curvature singularities in in full Loop Quantum Gravity (LQG).
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