Events and observables in generally invariant spacetime theories

Details Events and observables in generally invariant spacetime theories Events and observables in generally invariant spacetime theories

2007-08-14

arxiv.org/abs/0708.1825v2

Found. Phys. 38 (2008) 908-915

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1007/s10701-008-9235-z

We address the problem of observables in generally invariant spacetime theories such as Einstein's general relativity. Using the refined notion of an event as a ``point-coincidence'' between scalar fields that completely characterise a spacetime model, we propose a generalisation of the relational local observables that does not require the existence of four everywhere invertible scalar fields. The collection of all point-coincidences forms in generic situations a four-dimensional manifold, that is naturally identified with the physical spacetime.

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