Neural quantum states on K5 yield two families of approximate physical states for the Thiemann-ordered Hamiltonian constraint in Abelianized Euclidean LQG: one flat with non-zero volume (non-normalizable) and one normalizable with zero volume, close to Ashtekar-Lewandowski and Dittrich-Geiller vacua
Discreteness of area and volume in quantum gravity
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Bounded polymerization in asymmetric LQG-inspired bounce models makes shell-crossing singularities unavoidable for inhomogeneous dust collapse, whereas unbounded polymerization in non-bouncing models permits avoidance for suitable decreasing initial profiles.
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Finding and characterising physical states of Euclidean Abelianized loop quantum gravity using neural quantum states
Neural quantum states on K5 yield two families of approximate physical states for the Thiemann-ordered Hamiltonian constraint in Abelianized Euclidean LQG: one flat with non-zero volume (non-normalizable) and one normalizable with zero volume, close to Ashtekar-Lewandowski and Dittrich-Geiller vacua
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Formation of shell-crossing singularities in effective gravitational collapse models with bounded and unbounded polymerizations
Bounded polymerization in asymmetric LQG-inspired bounce models makes shell-crossing singularities unavoidable for inhomogeneous dust collapse, whereas unbounded polymerization in non-bouncing models permits avoidance for suitable decreasing initial profiles.