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Canonical Quantum Gravity and the Problem of Time
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Canonical Quantum Gravity and the Problem of Time
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This is the write-up of my lectures at the NATO Summer School held in Salamanca in June 1992. The paper deals with the problem of time in quantum gravity. All the major schemes are reviewed. Please note that the paper is in two parts for ease of email transmission; this is part 1. The mailer from gr-qc may further subdivide these two sections.
Forward citations
Cited by 12 Pith papers
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Quantization of Gravity on Null Hypersurfaces
An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.
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Problem of Time and Background Independence: classical version's higher Lie Theory
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Proposes reducing quantum gravity dynamics to Regge-Teitelboim boundary charges in an asymptotic proper-time gauge, yielding a Berry-phase effective Hamiltonian after integrating out bulk modes.
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Singularity Resolution in Quantum Cosmology via Page-Wootters Formalism
In a quantum Bianchi type-I cosmology, the conditional probability density for zero volume vanishes for all clock times, resolving the classical singularity via Page-Wootters relational dynamics.
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Stochastic modes in postquantum classical gravity
Postquantum classical gravity requires stochastic spacetime fluctuations consisting of a diffusing spin-2 field and spin-0 scalar whose noise is constrained by LISA Pathfinder and decoherence bounds.
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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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