Algebraic description of spacetime foam

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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34 pages, LaTeX2e, the section concerning classical spacetimes in the limit essentially corrected

Scientific paper

10.1088/0264-9381/18/20/303

A mathematical formalism for treating spacetime topology as a quantum
observable is provided. We describe spacetime foam entirely in algebraic terms.
To implement the correspondence principle we express the classical spacetime
manifold of general relativity and the commutative coordinates of its events by
means of appropriate limit constructions.

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