Many advocates of the Everettian interpretation consider that theirs is the only approach to take quantum mechanics really seriously, and that this approach allows to deduce a fantastic scenario for our reality, one that consists of an infinite number of parallel worlds that branch out continuously. In this article, written in dialogue form, we suggest that quantum mechanics can be taken even more seriously, if the many-worlds view is replaced by a many-measurements view. This allows not only to derive the Born rule, thus solving the measurement problem, but also to deduce a one-world non-spatial reality, providing an even more fantastic scenario than that of the multiverse.
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Aerts, D. (1999). The stuff the world is made of: Physics and reality. pp. 129–183. In D. Aerts, J. Broekaert, E. Mathijs (Eds.), The White Book of ‘Einstein Meets Magritte’. Dordrecht: Kluwer, 274 pp.
Aerts, D. (2014). Quantum theory and human perception of the macro-world. Frontiers in Psychology, 5, 554. doi:10.3389/fpsyg.2014.00554.
Aerts, D., & Sassoli de Bianchi, M. (2014a). The unreasonable success of quantum probability I: Quantum measurements as uniform measurements. arXiv:1401.2647 [quant-ph].
Aerts, D., & Sassoli de Bianchi, M. (2014b). The unreasonable success of quantum probability II: Quantum measurements as universal measurements. arXiv:1401.2650 [quant-ph].
Aerts, D., & Sassoli de Bianchi, M. (2014c). The extended Bloch representation of quantum mechanics and the hidden-measurement solution to the measurement problem. Annals of Physics. doi:10.1016/j.aop.2014.09.020.
Aerts, D. (1982). Description of many physical entities without the paradoxes encountered in quantum mechanics. Foundations of Physics, 12, 1131–1170.
Aerts, D. (1986). A possible explanation for the probabilities of quantum mechanics. Journal of Mathematical Physics, 27, 202–210.
Aerts, D. (1998a). The hidden measurement formalism: What can be explained and where paradoxes remain. International Journal of Theoretical Physics, 37, 291.
Aerts, D. (1998b). The entity and modern physics: The creation-discovery view of reality. In E. Castellani (Ed.), Interpreting bodies: Classical and quantum objects in modern physics. Princeton: Princeton University Press.
Aerts, D. (2010). Interpreting quantum particles as conceptual entities. International Journal of Theoretical Physics, 49, 2950–2970.
Albert, D., & Loewer, B. (1988). Interpreting the many worlds interpretation. Synthese, 77, 195–213.
Baker, D. J. (2007). Measurement outcomes and probability in Everettian quantum mechanics. Studies In History and Philosophy of Science Part B: Sudies In History and Philosophy of Modern Physics, 38, 153–169.
Barnum, H., Caves, C. M., Finkelstein, J., Fuchs, C. A., & Schack, R. (2000). Quantum probability from decision theory? Proceedings of the Royal Society London, A456, 1175–1182.
Bell, J. S. (1966). On the problem of hidden variables in quantum mechanics. Reviews of Modern Physics, 38, 447–452.
Bohm, D. (1952). A suggested interpretation of the quantum theory in terms of hidden variables, II. Physics Review, 85, 180–193.
Bohm, D. (1957). Causality and chance in modern physics. London: Routledge & Kegan Paul.
Born, M. (1926). Quantenmechanik der Stoßvorgänge. Z. Phys., 38, 803–827.
Cassinello, A., & Sánchez-Gómez, J. L. (1996). On the probabilistic postulate of quantum mechanics. Foundations of Physics, 26, 1357–1374.
Caves, C., & Schack, R. (2005). Properties of the frequency operator do not imply the quantum probability postulate. Annals of Physics, 315, 123–146.
Coecke, B. (1995). Generalization of the proof on the existence of hidden measurements to experiments with an infinite set of outcomes. Foundations of Physics Letters, 8, 437.
Deutsch, D. (1996). Comment on Lockwood. British Journal for the Philosophy of Science, 47, 222–228.
Deutsch, D. (1998). The fabric of reality. London: Penguin Book.
Deutsch, D. (1999). Quantum theory of probability and decisions. Proceedings of the Royal Society London, A455, 3129–3137.
DeWitt, B., & Graham, N. (Eds.). (1973). The many-worlds interpretation of quantum mechanics. Princeton: Princeton University Press.
Everett, H. (1957). Relative state formulation of quantum mechanics. Review of Modern Physics, 29, 454–462.
Feynman, R. P. (1992). The character of physical law. London: Penguin Books.
Gell-Mann, M., & Hartle, J. (1993). Classical equations for quantum systems. Physical Review D, 47, 3345–3382.
Gerlich, S., Eibenberger, S., Tomandl, M., Nimmrichter, S., Hornberger, K., Fagan, P. J., et al. (2011). Quantum interference of large organic molecules. Nature Communications, 2, 263.
Geroch, R. (1984). The Everett interpretation. Noûs, 18, 617–633.
Gleason, A. M. (1957). Measures on the closed subspaces of a Hilbert space. Jounal of Mathematics and Mechanics, 6, 885–893.
Gudder, S. P. (1970). On hidden-variable theories. Journal of Mathematical Physics, 11, 431–436.
Hartle, J. (1968). Quantum mechanics of individual systems. American Journal of Physics, 36, 704–712.
Jauch, J. M., & Piron, C. (1963). Can hidden variables be excluded in quantum mechanics? Helvetica Physics Acta, 36, 827–837.
Kochen, S., & Specker, E. P. (1967). The problem of hidden variables in quantum mechanics. Jounal of Mathematics and Mechanics, 17, 59–87.
Kolmogorov, A. N. (1950). Grundbegriffe der Wahrscheinlichkeitrechnung, Ergebnisse Der Mathematik (1933); translated as Foundations of Probability. New York: Chelsea Publishing Company.
Laplace, P. S. (1951). A philosophical essay on probabilities. New York: Dover Publications Inc., English edition 1951 (1814).
Lockwood, M. (1996). Many Minds’. Interpretations of quantum mechanics. British Journal for the Philosophy of Science, 47, 159–188.
Piron, C. (1976). Foundations of quantum physics. Reading, MA: W. A. Benjamin.
Sassoli de Bianchi, M. (2014). God may not play dice, but human observers surely do. Foundations of Science. doi:10.1007/s10699-014-9352-4.
Sassoli de Bianchi, M. (2013). Quantum dice. Annals of Physics, 336, 56–75.
Sassoli de Bianchi, M. (2013). Using simple elastic bands to explain quantum mechanics: a conceptual review of two of Aerts’ machine-models. Central European Journal of Physics, 11, 147–161.
Sassoli de Bianchi, M. (2014). A remark on the role of indeterminism and non-locality in the violation of Bell’s inequality. Annals of Physics, 342, 133–142.
Saunders, S., Barrett, J., Kent, A., & Wallace, D. (Eds.). (2010). Many worlds? Quantum theory and reality. Everett: Oxford University Press.
Schlosshauer, M., & Fine, A. (2005). On Zureks derivation of the born rule. Foundations of Physics, 35, 197–213.
Schrödinger, E. (1926). An undulatory theory of the mechanics of atoms and molecules. Physical Review, 28, 1049–1070.
Streater, R. F., & Wightman, A. S. (1964). PCT, spin and statistics, and all that. New York: W. A. Benjamin Inc.
Von Neumann, J. (1932). Grundlehren. Math. Wiss. XXXVIII
von Neumann, J. (1955). Mathematical foundations of quantum mechanics. Princeton: Princeton University Press.
Wallace, D. (2003). Everettian rationality. Studies in History and Philosophy of Modern Physics, 34, 87–105.
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Aerts, D., Sassoli de Bianchi, M. Many-Measurements or Many-Worlds? A Dialogue. Found Sci 20, 399–427 (2015). https://doi.org/10.1007/s10699-014-9382-y
- Measurement problem
- Parallel universes