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Mathematical structure of loop quantum cosmology
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Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity. However, the precise mathematical structure underlying loop quantum cosmology and the sense in which it implements the full quantization program in a symmetry reduced model has not been made explicit. The purpose of this paper is to address these issues, thereby providing a firmer mathematical and conceptual foundation to the subject.
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Forward citations
Cited by 2 Pith papers
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Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce
Improved GUP deformations applied to FLRW cosmology with Ashtekar-Barbero variables produce a non-singular emergent universe coasting from constant volume without a bounce and with a universal maximum energy density.
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Relational quantum dynamics of the black hole interior: singularity resolution and quantum bounce
Relational quantization of the Schwarzschild black hole interior resolves the singularity with a quantum bounce, finite Kretschmann scalar, bounded area, and black-hole-to-white-hole transition.
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