Space of quantum states built over metrics of fixed signature

Abstract

We construct a space of quantum states and an algebra of quantum observables, over the set of all metrics of arbitrary but fixed signature, defined on a manifold. The construction is diffeomorphism invariant, and unique up to natural isomorphisms.

24 pages, no figures, LaTeX, new results added

References in corpus (1)

• A modification of the projective construction of quantum states for field theories

Cited by in corpus (1)

• Hilbert spaces built over metrics of fixed signature