Spacetime Topology from the Tomographic Histories Approach: Part II |
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| Authors: | Ioannis Raptis Petros Wallden Romàn R Zapatrin |
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| Institution: | (1) EU Marie Curie Reintegration Postdoctoral Research Fellow, Algebra and Geometry Section, Department of Mathematics, University of Athens, Panepistimioupolis, Athens, 157 84, Greece;(2) Visiting Researcher, Theoretical Physics Group, Blackett Laboratory, Imperial College of Science, Technology and Medicine, Prince Consort Road, South Kensington, London, SW7 2BZ, UK;(3) Theoretical Physics Group, Physics Department, Imperial College, London, UK;(4) Department of Information Science, The State Russian Museum, Inzenernaya 4, 191186 St.Petersburg, Russia |
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| Abstract: | As an inverse problem, we recover the topology of the effective spacetime that a system lies in, in an operational way. This means that from a series of experiments we get a set of points corresponding to events. This continues the previous work done by the authors. Here the relativistic case is considered. The existence of upper bound in the speed of transfer of matter and information induces a partial order on the set of events. While the actual partial order is not known in our operational set up, the grouping of events to (unordered) subsets corresponding to possible histories, is given. From this we recover the partial order up to certain ambiguities that are then classified. Finally two different ways to recover the topology are sketched and their interpretation is discussed. |
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| Keywords: | quantum gravity decoherent histories spacetime topology |
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