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Quantum Observables Algebras and Abstract Differential Geometry | | Elias Zafiris
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2 May 2004 | | Subject: | gr-qc | | Abstract: | We construct a sheaf theoretical representation of Quantum Observables Algebras over a base Category equipped with a Grothendieck topology, consisting of epimorphic families of commutative Observables Algebras, playing the role of local arithmetics in measurement situations. This construction makes possible the application of the methodology of Abstract Differential Geometry in a Category theoretical environment, and subsequently, the extension of the mechanism of differentials in the Quantum regime. | | Source: | arXiv, gr-qc/0405009 | | Other source: | [GID 46685] gr-qc/0405009 | | Services: | Forum | Review | PDF | Favorites | |
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