caa a22 4500 467905959 CHVBK 20180406152834.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10701-005-9004-1 doi (NATIONALLICENCE)springer-10.1007/s10701-005-9004-1 Plotnitsky Arkady Theory and Cultural Studies Program, Department of English, Purdue University, 47907, West Lafayette, IN, USA aut A New Book of Numbers: On the Precise Definition of Quantum Variables and the Relationships between Mathematics and Physics in Quantum Theory [Elektronische Daten] [Arkady Plotnitsky] Following Asher Peres's observation that, as in classical physics, in quantum theory, too, a given physical object considered "has a precise position and a precise momentum,” this article examines the question of the definition of quantum variables, and then the new type (as against classical physics) of relationships between mathematics and physics in quantum theory. The article argues that the possibility of the precise definition and determination of quantum variables depends on the particular nature of these relationships. Springer Science+Business Media, Inc., 2006 Bohr nationallicence Heisenberg nationallicence mathematics nationallicence quantum state nationallicence quantum theory nationallicence Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/1(2006-01-01), 30-60 0015-9018 36:1<30 2006 36 10701 https://doi.org/10.1007/s10701-005-9004-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-005-9004-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Plotnitsky Arkady Theory and Cultural Studies Program, Department of English, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/1(2006-01-01), 30-60 0015-9018 36:1<30 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer