Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings

Details Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings

2006-11-13

arxiv.org/abs/quant-ph/0611139v1

Journal of Physics: Conference Series 70 (2007) 012003

Physics

Quantum Physics

24 pages, 5 figures; submitted to proceedings, 3rd Feynman Festival, University of Maryland, 2006

Scientific paper

10.1088/1742-6596/70/1/012003

In this paper fields of quantum reference frames based on gauge transformations of rational string states are described in a way that, hopefully, makes them more understandable than their description in an earlier paper. The approach taken here is based on three main points: (1) There are a large number of different quantum theory representations of natural numbers, integers, and rational numbers as states of qubit strings. (2) For each representation, Cauchy sequences of rational string states give a representation of the real (and complex) numbers. A reference frame is associated to each representation. (3) Each frame contains a representation of all mathematical and physical theories that have the representations of the real and complex numbers as a scalar base for the theories. These points and other aspects of the resulting fields are then discussed and justified in some detail. Also two different methods of relating the frame field to physics are discussed.

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