caa a22 4500 469031298 CHVBK 20180323132744.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF00732696 doi (NATIONALLICENCE)springer-10.1007/BF00732696 Donald Matthew The Cavendish Laboratory, Madingley Road, CB3 0HE, Cambridge, United Kingdom aut A priori probability and localized observers [Elektronische Daten] [Matthew Donald] A physical and mathematical framework for the analysis of probabilities in quantum theory is proposed and developed. One purpose is to surmount the problem, crucial to any reconciliation between quantum theory and space-time physics, of requiring instantaneous "wave-packet collapse” across the entire universe. The physical starting point is the idea of an observer as an entity, localized in space-time, for whom any physical system can be described at any moment, by a set of (not necessarily pure) quantum states compatible with his observations of the system at that moment. The mathematical starting point is the theory of local algebras from axiomatic relativistic quantum field theory. A function defining thea priori probability of mistaking one local state for another is analysed. This function is shown to possess a broad range of appropriate properties and to be uniquely defined by a selection of them. Through a general model for observations, it is argued that the probabilities defined here are as compatible with experiment as the probabilities of conventional interpretations of quantum mechanics but are more likely to be compatible, not only with modern developments in mathematical physics, but also with a complete and consistent theory of measurement. Plenum Publishing Corporation, 1992 Foundations of Physics Kluwer Academic Publishers-Plenum Publishers 22/9(1992-09-01), 1111-1172 0015-9018 22:9<1111 1992 22 10701 https://doi.org/10.1007/BF00732696 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00732696 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Donald Matthew The Cavendish Laboratory, Madingley Road, CB3 0HE, Cambridge, United Kingdom aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers 22/9(1992-09-01), 1111-1172 0015-9018 22:9<1111 1992 22 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer