Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings.
Abstract
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 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.
 Authors:
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 971133
 Report Number(s):
 ANL/PHY/CP57836
TRN: US201003%%585
 DOE Contract Number:
 DEAC0206CH11357
 Resource Type:
 Conference
 Resource Relation:
 Journal Name: J. Phys.: Conf. Ser.; Journal Volume: 70; Journal Issue: 2007; Conference: 3rd Feynman Festival; Aug. 25, 2006  Aug. 29, 2006; College Park, MD
 Country of Publication:
 United States
 Language:
 ENGLISH
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GAUGE INVARIANCE; PHYSICS; QUBITS; SCALARS
Citation Formats
Benioff, P., and Physics. Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings.. United States: N. p., 2007.
Web. doi:10.1088/17426596/70/1/012003.
Benioff, P., & Physics. Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings.. United States. doi:10.1088/17426596/70/1/012003.
Benioff, P., and Physics. Mon .
"Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings.". United States.
doi:10.1088/17426596/70/1/012003.
@article{osti_971133,
title = {Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings.},
author = {Benioff, P. and Physics},
abstractNote = {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 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.},
doi = {10.1088/17426596/70/1/012003},
journal = {J. Phys.: Conf. Ser.},
number = 2007,
volume = 70,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}

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