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Spherically symmetric canonical quantum gravity

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arxiv 1411.3661 v2 pith:UF2B32OO submitted 2014-11-13 gr-qc hep-th

classification gr-qchep-th
keywords canonicalquantumalgebragravitysphericallysymmetricalthoughanomaly
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Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, with specific factor ordering choices ensuring in an anomaly free quantum constraint algebra. Comparison with previous work [1] reveals that the resulting physical Hilbert space has the same form, although the basic canonical variables are different in the two approaches. As an extension, holonomy modifications from Loop Quantum Gravity are shown to deform the Dirac space-time algebra, while going beyond `effective' calculations.

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  1. Lessons for loop quantum gravity from emergent modified gravity

    gr-qc 2024-11 conditional novelty 6.0 of 10

    Emergent modified gravity rules out most proposed loop quantum gravity black-hole models and shows that mu0 and mu-bar holonomy schemes are canonically equivalent, so they are not physically distinct.

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