Relational observables in 2d quantum gravity

Details Relational observables in 2d quantum gravity Relational observables in 2d quantum gravity

2006-12-19

arxiv.org/abs/hep-th/0612191v2

Phys.Rev.D75:104007,2007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 1 figure, harvmac. v1: reference added

Scientific paper

10.1103/PhysRevD.75.104007

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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