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"Observables" in de Sitter Quantum Gravity: in Perturbation Theory and Beyond

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arxiv 2405.01773 v1 pith:CIOQQVRH submitted 2024-05-02 hep-th gr-qc

Tom Banks (NHETC , Department of Physics , Astronomy , Rutgers University) This is my paper · ORCID
classification hep-thgr-qc
keywords staticsitterenergygravityhamiltonianquantumspacetime
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A review of some errors made by the author and others in their search for quantum models of gravity in cosmological space-times that asymptote to de Sitter (dS) space in the future. The "static de Sitter Hamiltonian", which measures the energy of localized objects in a static patch, is not a conserved quantity. The static time translation diffeomorphism of eternal dS space is a gauge symmetry, and the static energy is an approximate property of meta-stable constrained states. It's not clear whether a theoretical model has to have a time independent Hamiltonian at all, but if it does, its eigenvalues are, {\it in principle}, not accessible to measurement by local detectors.

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Cited by 2 Pith papers

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

  1. New Modes for Vector Bosons in the Static Patch

    hep-th 2024-12 conditional novelty 6.0 of 10

    A massive vector boson in a de Sitter static patch has a stability edge at μ_v^2 = m_v^2 + 2(D-1)ℓ^{-2}, permitting naively tachyonic Lagrangian masses down to m_v^2ℓ^2 = -2(D-1).

  2. Hilbert Bundles and Holographic Space-time: the Hydrodynamic Approach to Gravity

    hep-th 2025-02 conditional novelty 3.0 of 10

    Einstein's equations are treated as hydrodynamic equations for the area-law entropy of causal diamonds, with quantum dynamics proposed to live in a Hilbert bundle over spacetime geodesics.

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