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Journal

2013 | 11 | 2 | 147-161

Article title

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

Content

Title variants

Languages of publication

EN

Abstracts

EN
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.

Publisher

Journal

Year

Volume

11

Issue

2

Pages

147-161

Physical description

Dates

published
1 - 2 - 2013
online
9 - 2 - 2013

Contributors

  • Laboratorio di Autoricerca di Base, 6914, Carona, Switzerland

References

  • [1] J. G. Cramer, Rev. Mod. Phys. 58, 647 (1986) http://dx.doi.org/10.1103/RevModPhys.58.647[Crossref]
  • [2] R. P. Feynman, The Character of Physical Law (Penguin Books, London, 1992)
  • [3] W. Heisenberg, Philosophic Problems of Nuclear Science (Pantheon Books, New York, 1952)
  • [4] M. Sassoli de Bianchi, Found. Sci. 16, 393 (2011) http://dx.doi.org/10.1007/s10699-011-9227-x[Crossref]
  • [5] M. Sassoli de Bianchi, Found. Sci. 17, 223 (2012) http://dx.doi.org/10.1007/s10699-011-9233-z[Crossref]
  • [6] D. Aerts, In: D. Aerts, J. Broekaert, E. Mathijs (Eds.), The white book of “Einstein meets Magritte” (Kluwer Academic Publishers, Dordrecht, 1999) 129
  • [7] D. Aerts, In: D. Aerts, J. Broekaert, E. Mathijs (Eds.), The Indigo Book of “Einstein Meets Magritte” (Kluwer Academic Publishers, Dordrecht, 1999) 141
  • [8] D. Aerts, J. Math, Phys. 27, 202 (1986) http://dx.doi.org/10.1063/1.527362[Crossref]
  • [9] D. Aerts, Int. J. Theor. Phys. 34, 1165 (1995) http://dx.doi.org/10.1007/BF00676227[Crossref]
  • [10] D. Aerts, In: Elena Castellani (Ed.), Interpreting bodies, classical and quantum objects in modern physics (Princeton University Press, Princeton, 1998) 223
  • [11] D. Aerts, Int. J. Theor. Phys. 32, 2207 (1993) http://dx.doi.org/10.1007/BF00672993[Crossref]
  • [12] A. D. O’Connell et al., Nature 464, 697 (2010) http://dx.doi.org/10.1038/nature08967[Crossref]
  • [13] D. Aerts, In: J. Mizerski et al. (Eds.), Problems in Quantum Physics II; Gdansk’ 89 (World Scientific Publishing Company, Singapore, 1990) 3
  • [14] D. Aerts, Helv. Phys. Acta 57, 421 (1984)
  • [15] D. Aerts, In: P. Mittelstaedt, E. W. Stachow (Eds.), Recent Developments in Quantum Logic (Bibliographisches Institut, Mannheim, 1985) 235
  • [16] M. Jammer, The Philosophy of Quantum Mechanics (Wiley, New York, 1974) 151
  • [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
  • [18] D. Aerts, T. Durt, Found. Phys. 24, 1353 (1994) http://dx.doi.org/10.1007/BF02283037[Crossref]
  • [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
  • [20] A. M. Gleason, J. Math. Mech. 6, 885 (1957)
  • [21] S. Kochen, E. P. Specker, J. Math. Mech. 17, 59 (1967)
  • [22] D. Aerts, B. Coecke, B. D’Hooghe, F. Valckenborgh, Helv. Phys. Acta 70, 793 (1997)
  • [23] D. Aerts, S. Aerts, J. Broekaert, L. Gabora, Found. Phys. 30, 1387 (2000) http://dx.doi.org/10.1023/A:1026449716544[Crossref]
  • [24] D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, New York, 1951)
  • [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
  • [26] J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964)
  • [27] A. Aspect et al., Phys. Rev. Lett. 49, 91 (1982) http://dx.doi.org/10.1103/PhysRevLett.49.91[Crossref]
  • [28] A. Aspect, Nature 398, 189 (1999) http://dx.doi.org/10.1038/18296[Crossref]
  • [29] S. Aerts, arXiv:quant-ph/0504171
  • [30] E. Schroedinger, Naturwissenschaftern 23, 807 (1935) http://dx.doi.org/10.1007/BF01491891[Crossref]
  • [31] D. Aerts, Helv. Phys. Acta 64, 1 (1991)
  • [32] D. Aerts, Int. J. Theor. Phys. 39, 485 (2000)
  • [33] M. Sassoli de Bianchi, Found. Sci., DOI: 10.1007/s10699-011-9284-1 [Crossref]
  • [34] M. Sassoli de Bianchi, Found. Sci. 16, 393 (2011) http://dx.doi.org/10.1007/s10699-011-9227-x[Crossref]
  • [35] M. Sassoli de Bianchi, Found. Sci. 17, 223 (2012) http://dx.doi.org/10.1007/s10699-011-9233-z[Crossref]
  • [36] D. Aerts, Found. Sci. 14, 361 (2009) http://dx.doi.org/10.1007/s10699-009-9166-y[Crossref]
  • [37] D. Aerts, Int. J. Theor. Phys. 49, 2950 (2010) http://dx.doi.org/10.1007/s10773-010-0440-0[Crossref]
  • [38] G. Auletta, M. Fortunato, G. Parisi, Quantum Mechanics (Cambridge University Press, Cambridge, 2009) http://dx.doi.org/10.1017/CBO9780511813955[Crossref]
  • [39] A. N. Kolmogorov, Foundations of the Theory of Probability (Chelsea Publishing Company, New York, 1956)
  • [40] D. Salart et. al., Nature 454, 861 (2008) http://dx.doi.org/10.1038/nature07121[Crossref]
  • [41] H. P. Hberhard, Nuovo Cimento B 46, 392 (1978) http://dx.doi.org/10.1007/BF02728628[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-012-0164-2
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