Glafka 2004: Spacetime Topology from the Tomographic Histories Approach |
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Authors: | Ioannis Raptis Petros Wallden Romàn R Zapatrin |
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Institution: | 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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