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Space and Time in Particle and Field Physics
Institution:1. Department of Mathematics and Computer Science, The University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark;2. Institute of Mathematics, University of Bialystok, ul. K. Ciolkowskiego 1M, 15-245 Bialystok, Poland;1. Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, People''s Republic of China;2. Department of Mathematics, Saratov University, Astrakhanskaya 83, Saratov 410012, Russia;1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA;2. Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada;1. Lebedev Physics Institute, Moscow 119991, Russia;2. ITEP, Moscow 117218, Russia;3. Institute for Information Transmission Problems, Moscow 127994, Russia;4. National Research Nuclear University MEPhI, Moscow 115409, Russia;5. Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk 454001, Russia
Abstract:Textbooks present classical particle and field physics as theories of physical systems situated in Newtonian absolute space. This absolute space has an influence on the evolution of physical processes, and can therefore be seen as a physical system itself; it is substantival. It turns out to be possible, however, to interpret the classical theories in another way. According to this rival interpretation, spatiotemporal position is a property of physical systems, and there is no substantival spacetime. The traditional objection that such a relationist view could not cope with the existence of inertial effects and other manifestations of the causal efficacy of spacetime can be answered successfully. According to the new point of view, the spacetime manifold of classical physics is a purely representational device. It represents possible locations of physical objects or events; but these locations are physical properties inherent in the physical objects or events themselves and having no existence independently of them. In relativistic quantum field theory the physical meaning of the spacetime manifold becomes even less tangible. Not only does the manifold lose its status as a substantival container, but also its function as a representation of spacetime properties possessed by physical systems becomes problematic. ‘Space and time’ become ordering parameters in the web of properties of physical systems. They seem to regain their traditional meaning only in the non-relativistic limit in which the classical particle concept becomes approximately applicable.
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