Events and observables in generally invariant spacetime theories

Publication Year:
2007
Usage 223
Downloads 223
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/3473
Author(s):
Westman, Hans; Sonego, Sebastiano
preprint description
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.