Glafka 2004: Spacetime Topology from the Tomographic Histories Approach I: Non-Relativistic Case |
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| Authors: | Ioannis Raptis Petros Wallden Romàn R. Zapatrin |
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| Affiliation: | (1) Algebra and Geometry Section, Department of Mathematics, University of Athens, Panepistimioupolis, Athens, 157 84, Greece;(2) Theoretical Physics Group, Blackett Laboratory, Imperial College of Science, Technology and Medicine, Prince Consort Road, South Kensington, London, SW7 2BZ, UK;(3) Department of Information Science, The State Russian Museum, Inzenernaya 4, 191186 St. Petersburg, Russia |
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| Abstract: | The tomographic histories approach is presented. As an inverse problem, we recover in an operational way the effective topology of the extended configuration space of a system. This means that from a series of experiments we get a set of points corresponding to events. The difference between effective and actual topology is drawn. We deduce the topology of the extended configuration space of a non-relativistic system, using certain concepts from the consistent histories approach to Quantum Mechanics, such as the notion of a record. A few remarks about the case of a relativistic system, preparing the ground for a forthcoming paper sequel to this, are made in the end. |
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| Keywords: | quantum mechanics histories approach topology |
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