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Title: In search of a covariant quantum measure
Authors: Surya, Sumati
Issue Date: Jul-2011
Publisher: IOP Publishing Ltd
Citation: Journal of Physics: Conference Series, Vol 306, p012018
Abstract: In the quantum measure approach, quantum theory is viewed as a generalisation of classical stochastic theory rather than of classical deterministic theory. An observable or "be-able" is thus a quantum measurable set in an appropriate event algebra. Thus, the observables in quantum cosmology are covariant quantum measurable sets. In a quantum system with a strongly positive quantum measure or decoherence functional one can construct a vector valued measure whose domain is the algebra of events or physical questions. Using results in the literature, this allows us to specify when a vector valued measure on finite time events can be extended to a measure over infinite time, or equivalently, covariant events. For the class of complex percolation dynamics we show that there is a generic obstruction to this process and that covariant observables can be constructed only for a very restricted class of dynamics.
Description: Open Access, Proceedings of 5th International Workshop DICE2010: Space-Time-Matter – Current Issues in Quantum Mechanics and Beyond 13–17th September 2010, Castello Pasquini, Castiglioncello, Tuscany, Italy
ISSN: 1742-6588
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Copyright: 2011 IOP Publishing Ltd
Appears in Collections:Research Papers (TP)

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