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Relational observables in 2d quantum gravity

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arxiv hep-th/0612191 v2 pith:3C5LA4PG submitted 2006-12-19 hep-th gr-qc

Michael Gary , Steven B. Giddings This is my paper
classification hep-thgr-qc
keywords observablesgravityrelationallocalquantumexampleanalyticapplications
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Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge invariant local observables can't be defined, it has been argued that appropriate relational observables approximately reduce to local observables in certain states. However, quantum mechanics and gravity together imply limitations on the precision of their localization. Such a relational framework is studied in the context of two-dimensional gravity, where there is a high degree of analytic control. This example furnishes a concrete example of some of the essential features of relational observables.

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Cited by 3 Pith papers

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  1. Gravitational null rays: Covariant Quantization and the Dressing Time

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    Gravitational null rays are quantized in a diffeomorphism-covariant way using the gravitational dressing time as quantum reference frame, producing a Virasoro crossed-product algebra of gauge-invariant observables.

  2. Localization and anomalous reference frames in gravity

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    Constructs a phase space for gravitational degrees of freedom on null ray segments with commuting localized observables via edge modes and dressing time, then introduces an effective classical theory with Virasoro def...

  3. On the relation between perspective-neutral, algebraic, and effective quantum reference frames

    quant-ph 2025-07 conditional novelty 6.0 of 10

    For ideal quantum reference frames with a single constraint, the perspective-neutral, algebraic, and effective semiclassical approaches describe the same physics and the same frame-switching rules.

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