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Assumptions of Metric Variable-Type in Bell’s Theorem

Received: 3 October 2013    Accepted:     Published: 30 November 2013
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Abstract

An analysis of both the original and the CHSH Bell inequalities is presented. Two additional mathematical assumptions are identified in the theorem. These are: all variables in the inequalities have a field algebraic structure, and all variables have measurability as a mathematical property. This means the variables are of metric-type, mathematically indistinguishable from those of classical theories. The consequences of attributing the violation of Bell’s theorem to these assumptions are examined.

Published in American Journal of Modern Physics (Volume 2, Issue 6)
DOI 10.11648/j.ajmp.20130206.22
Page(s) 350-356
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Bell’s Inequalities, Non-Classical Measurability, Metric Variables, Projective Geometry

References
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[24] Fosco Ruzzene Geometrical Interpretation of Quantum Mechanics (unpublished)
Cite This Article
  • APA Style

    Fosco Ruzzene. (2013). Assumptions of Metric Variable-Type in Bell’s Theorem. American Journal of Modern Physics, 2(6), 350-356. https://doi.org/10.11648/j.ajmp.20130206.22

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    ACS Style

    Fosco Ruzzene. Assumptions of Metric Variable-Type in Bell’s Theorem. Am. J. Mod. Phys. 2013, 2(6), 350-356. doi: 10.11648/j.ajmp.20130206.22

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    AMA Style

    Fosco Ruzzene. Assumptions of Metric Variable-Type in Bell’s Theorem. Am J Mod Phys. 2013;2(6):350-356. doi: 10.11648/j.ajmp.20130206.22

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  • @article{10.11648/j.ajmp.20130206.22,
      author = {Fosco Ruzzene},
      title = {Assumptions of Metric Variable-Type in Bell’s Theorem},
      journal = {American Journal of Modern Physics},
      volume = {2},
      number = {6},
      pages = {350-356},
      doi = {10.11648/j.ajmp.20130206.22},
      url = {https://doi.org/10.11648/j.ajmp.20130206.22},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20130206.22},
      abstract = {An analysis of both the original and the CHSH Bell inequalities is presented. Two additional mathematical assumptions are identified in the theorem. These are: all variables in the inequalities have a field algebraic structure, and all variables have measurability as a mathematical property. This means the variables are of metric-type, mathematically indistinguishable from those of classical theories. The consequences of attributing the violation of Bell’s theorem to these assumptions are examined.},
     year = {2013}
    }
    

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    AB  - An analysis of both the original and the CHSH Bell inequalities is presented. Two additional mathematical assumptions are identified in the theorem. These are: all variables in the inequalities have a field algebraic structure, and all variables have measurability as a mathematical property. This means the variables are of metric-type, mathematically indistinguishable from those of classical theories. The consequences of attributing the violation of Bell’s theorem to these assumptions are examined.
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Author Information
  • Department of Econometrics & Business Statistics, Monash University 900 Dandenong Road, Caulfield East, Australia

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