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Time and a physical Hamiltonian for quantum gravity

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arxiv 1108.1145 v2 pith:C3YCQWZQ submitted 2011-08-04 gr-qc hep-th

Time and a physical Hamiltonian for quantum gravity

Viqar Husain , Tomasz Pawlowski This is my paper
classification gr-qc hep-th
keywords quantumgravityhamiltoniandustphysicalprovidestimeapplications
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a non-perturbative quantization of general relativity coupled to dust and other matter fields. The dust provides a natural time variable, leading to a physical Hamiltonian with spatial diffeomorphism symmetry. The surprising feature is that the Hamiltonian is not a square root. This property, together with the kinematical structure of loop quantum gravity, provides a complete theory of quantum gravity, and puts in technical reach applications to cosmology, quantum gravitational collapse and Hawking radiation.

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Cited by 4 Pith papers

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

  1. Prism Effect in Quantum Gravity

    gr-qc 2026-07 conditional novelty 7.0

    Electromagnetic backreaction on quantum geometry in LQC makes the photon group velocity mode-dependent and subluminal, a 'prism effect' that vanishes at low energies.

  2. Prism Effect in Quantum Gravity

    gr-qc 2026-07 unverdicted novelty 6.0

    Extended Born-Oppenheimer coupling of the EM field to quantum geometry yields chromatic dispersion of light—a prism effect proposed as an all-energy quantum-gravity probe on a quantum FLRW background.

  3. Dust collapse and bounce in spherically symmetric quantum-inspired gravity models

    gr-qc 2026-02 unverdicted novelty 5.0

    Algebraic equations from Hamiltonian constraints on vacuum spherically symmetric metrics describe non-homogeneous dust collapse and bounce, applied to quantum-inspired models to recover or find new bounce results.

  4. Canonical form of a deformed Poisson bracket spacetime

    gr-qc 2025-11 unverdicted novelty 5.0

    A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.