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Canonical Quantum Gravity

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arxiv gr-qc/9304012 v1 pith:QFKBSWGG submitted 1993-04-08 gr-qc

classification gr-qc
keywords canonicalgravityquantizationaddressalgebraicaspectsaspirationsbroad
verification ladder T0 review T1 audit T2 compute T3 formal

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This is a review of the aspirations and disappointments of the canonical quantization of geometry. I compare the two chief ways of looking at canonical gravity, geometrodynamics and connection dynamics. I capture as much of the classical theory as I can by pictorial visualization. Algebraic aspects dominate my description of the quantization program. I address the problem of observables. The reader is encouraged to follow the broad outlines and not worry about the technical details.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Problem of Time and Background Independence: classical version's higher Lie Theory

    gr-qc 2019-07 unverdicted novelty 7.0 of 10

    Extends classical Lie theory with Lie's Algorithm and a commuting pentagon invariance criterion to locally resolve the Problem of Time via background independence.

  2. Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories

    hep-th 2026-07 unverdicted novelty 6.0 of 10

    Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space fact...

  3. Nambu variant of Local Resolution of Problem of Time and Background Independence

    gr-qc 2019-08 reject novelty 5.0 of 10

    The paper extends a local resolution of the Problem of Time to Nambu n-ary bracket formalism, introducing Nambu-Dirac and Nambu algorithms and a claimed uniqueness theorem for Nambu observables.

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