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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina


IMPACT FACTOR 2017: 0.755
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2391-5471
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Volume 11, Issue 2

Issues

Volume 13 (2015)

Using simple elastic bands to explain quantum mechanics: a conceptual review of two of Aerts’ machine-models

Massimiliano Sassoli de Bianchi
Published Online: 2013-02-09 | DOI: https://doi.org/10.2478/s11534-012-0164-2

Abstract

From the beginning of his research, the Belgian physicist Diederik Aerts has shown great creativity in inventing a number of concrete machine-models that have played an important role in the development of general mathematical and conceptual formalisms for the description of the physical reality. These models can also be used to demystify much of the strangeness in the behavior of quantum entities, by allowing to have a peek at what’s going on behind the “quantum scenes,” during a measurement. In this author’s view, the importance of these machine-models, and of the approaches they have originated, have been so far seriously underappreciated by the physics community, despite their success in clarifying many challenges of quantum physics. To fill this gap, and encourage a greater number of researchers to take cognizance of the important work of so-called Geneva-Brussels school, we describe and analyze in this paper two of Aerts’ historical machine-models, whose operations are based on simple breakable elastic bands. The first one, called the spin quantum-machine, is able to replicate the quantum probabilities associated with the spin measurement of a spin-1/2 entity. The second one, called the connected vessels of water model (of which we shall present here an alternative version based on elastics) is able to violate Bell’s inequality, as coincidence measurements on entangled states can do.

Keywords: quantum-machines; quantum probabilities; hidden measurements; entanglement; Bell’s inequalities

  • [1] J. G. Cramer, Rev. Mod. Phys. 58, 647 (1986) http://dx.doi.org/10.1103/RevModPhys.58.647CrossrefGoogle Scholar

  • [2] R. P. Feynman, The Character of Physical Law (Penguin Books, London, 1992) Google Scholar

  • [3] W. Heisenberg, Philosophic Problems of Nuclear Science (Pantheon Books, New York, 1952) Google Scholar

  • [4] M. Sassoli de Bianchi, Found. Sci. 16, 393 (2011) http://dx.doi.org/10.1007/s10699-011-9227-xCrossrefGoogle Scholar

  • [5] M. Sassoli de Bianchi, Found. Sci. 17, 223 (2012) http://dx.doi.org/10.1007/s10699-011-9233-zCrossrefGoogle Scholar

  • [6] D. Aerts, In: D. Aerts, J. Broekaert, E. Mathijs (Eds.), The white book of “Einstein meets Magritte” (Kluwer Academic Publishers, Dordrecht, 1999) 129 Google Scholar

  • [7] D. Aerts, In: D. Aerts, J. Broekaert, E. Mathijs (Eds.), The Indigo Book of “Einstein Meets Magritte” (Kluwer Academic Publishers, Dordrecht, 1999) 141 Google Scholar

  • [8] D. Aerts, J. Math, Phys. 27, 202 (1986) http://dx.doi.org/10.1063/1.527362CrossrefGoogle Scholar

  • [9] D. Aerts, Int. J. Theor. Phys. 34, 1165 (1995) http://dx.doi.org/10.1007/BF00676227CrossrefGoogle Scholar

  • [10] D. Aerts, In: Elena Castellani (Ed.), Interpreting bodies, classical and quantum objects in modern physics (Princeton University Press, Princeton, 1998) 223 Google Scholar

  • [11] D. Aerts, Int. J. Theor. Phys. 32, 2207 (1993) http://dx.doi.org/10.1007/BF00672993CrossrefGoogle Scholar

  • [12] A. D. O’Connell et al., Nature 464, 697 (2010) http://dx.doi.org/10.1038/nature08967CrossrefGoogle Scholar

  • [13] D. Aerts, In: J. Mizerski et al. (Eds.), Problems in Quantum Physics II; Gdansk’ 89 (World Scientific Publishing Company, Singapore, 1990) 3 Google Scholar

  • [14] D. Aerts, Helv. Phys. Acta 57, 421 (1984) Google Scholar

  • [15] D. Aerts, In: P. Mittelstaedt, E. W. Stachow (Eds.), Recent Developments in Quantum Logic (Bibliographisches Institut, Mannheim, 1985) 235 Google Scholar

  • [16] M. Jammer, The Philosophy of Quantum Mechanics (Wiley, New York, 1974) 151 Google Scholar

  • [17] D. Aerts, In: A. Blanquiere, S. Diner, G. Lochak (Eds.), Information, Complexity, and Control in Quantum Physics (Springer-Verlag, Wien and New York, 1987) 77 Google Scholar

  • [18] D. Aerts, T. Durt, Found. Phys. 24, 1353 (1994) http://dx.doi.org/10.1007/BF02283037CrossrefGoogle Scholar

  • [19] D. Aerts, T. Durt, In: K. V. Laurikainen, C. Montonen, K. Sunnaborg (Eds.), Proceedings of the International Symposium on the Foundations of Modern Physics, Helsinki, Finland (Editions Frontieres, Gives Sur Yvettes, 1994) 3 Google Scholar

  • [20] A. M. Gleason, J. Math. Mech. 6, 885 (1957) Google Scholar

  • [21] S. Kochen, E. P. Specker, J. Math. Mech. 17, 59 (1967) Google Scholar

  • [22] D. Aerts, B. Coecke, B. D’Hooghe, F. Valckenborgh, Helv. Phys. Acta 70, 793 (1997) Google Scholar

  • [23] D. Aerts, S. Aerts, J. Broekaert, L. Gabora, Found. Phys. 30, 1387 (2000) http://dx.doi.org/10.1023/A:1026449716544CrossrefGoogle Scholar

  • [24] D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, New York, 1951) Google Scholar

  • [25] J. S. Bell, In: B. d’Espagnat (Ed.), Proceedings of the International School of Physics “Enrico Fermi,” Course XLIX (Academic Press, New York, 1971) 171 Google Scholar

  • [26] J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964) Google Scholar

  • [27] A. Aspect et al., Phys. Rev. Lett. 49, 91 (1982) http://dx.doi.org/10.1103/PhysRevLett.49.91CrossrefGoogle Scholar

  • [28] A. Aspect, Nature 398, 189 (1999) http://dx.doi.org/10.1038/18296CrossrefGoogle Scholar

  • [29] S. Aerts, arXiv:quant-ph/0504171 Google Scholar

  • [30] E. Schroedinger, Naturwissenschaftern 23, 807 (1935) http://dx.doi.org/10.1007/BF01491891CrossrefGoogle Scholar

  • [31] D. Aerts, Helv. Phys. Acta 64, 1 (1991) Google Scholar

  • [32] D. Aerts, Int. J. Theor. Phys. 39, 485 (2000) Google Scholar

  • [33] M. Sassoli de Bianchi, Found. Sci., DOI: 10.1007/s10699-011-9284-1 CrossrefGoogle Scholar

  • [34] M. Sassoli de Bianchi, Found. Sci. 16, 393 (2011) http://dx.doi.org/10.1007/s10699-011-9227-xCrossrefGoogle Scholar

  • [35] M. Sassoli de Bianchi, Found. Sci. 17, 223 (2012) http://dx.doi.org/10.1007/s10699-011-9233-zCrossrefGoogle Scholar

  • [36] D. Aerts, Found. Sci. 14, 361 (2009) http://dx.doi.org/10.1007/s10699-009-9166-yCrossrefGoogle Scholar

  • [37] D. Aerts, Int. J. Theor. Phys. 49, 2950 (2010) http://dx.doi.org/10.1007/s10773-010-0440-0CrossrefGoogle Scholar

  • [38] G. Auletta, M. Fortunato, G. Parisi, Quantum Mechanics (Cambridge University Press, Cambridge, 2009) http://dx.doi.org/10.1017/CBO9780511813955CrossrefGoogle Scholar

  • [39] A. N. Kolmogorov, Foundations of the Theory of Probability (Chelsea Publishing Company, New York, 1956) Google Scholar

  • [40] D. Salart et. al., Nature 454, 861 (2008) http://dx.doi.org/10.1038/nature07121CrossrefGoogle Scholar

  • [41] H. P. Hberhard, Nuovo Cimento B 46, 392 (1978) http://dx.doi.org/10.1007/BF02728628CrossrefGoogle Scholar

About the article

Published Online: 2013-02-09

Published in Print: 2013-02-01


Citation Information: Open Physics, Volume 11, Issue 2, Pages 147–161, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-012-0164-2.

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© 2013 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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