The wave-function as a multi-field
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It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the wave-function as a multi-field in three-dimensional space. This approach hasn’t received the attention yet it really deserves. The aim of this paper is threefold: first, we show that the wave-function is naturally and straightforwardly construed as a multi-field; second, we show why this interpretation is superior to other interpretations discussed in the literature; third, we clarify common misconceptions.
KeywordsBohmian mechanics de Broglie–Bohm theory Interpretation Multi-field Ontology Wave-function
We wish to thank David Albert, Guido Bacciagaluppi, Michael Esfeld, Dustin Lazarovici, Tim Maudlin, Matteo Morganti, Travis Norsen, Andrea Oldofredi, Charles Sebens, and Tiziano Ferrando for many helpful comments on previous drafts of this paper. We also thank the audience of the 3rd Annual Conference of the Society for the Metaphysics of Science (SMS) and especially Lucas Dunlap for commenting on our paper at this event. We also thank two anonymous referees for their very detailed reviews. Davide Romano’s research was funded by the Swiss National Science Foundation (grant no. 105212_149650).
- Albert, D.Z. (1994). Quantum mechanics and experience. Cambridge: Harvard University Press.Google Scholar
- Albert, D.Z. (1996). Elementary quantum metaphysics. In Cushing, J.T., Fine, A., & Goldstein, S. (Eds.) Bohmian mechanics and quantum theory: an appraisal (pp. 277–284). Netherlands: Springer.Google Scholar
- Allori, V. (2017). A new argument for the nomological interpretation of the wave function: The Galilean group and the classical limit of nonrelativistic quantum mechanics. International Studies in the Philosophy of Science, forthcoming.Google Scholar
- Bell, J.S. (1987). Speakable and unspeakable in quantum mechanics. Cambridge: Cambridge University Press.Google Scholar
- Bohm, D., & Hiley, B.J. (1993). The undivided universe: an ontological interpretation of quantum theory. London: Routledge.Google Scholar
- Chen, E.K. (2017a). Our fundamental physical space: an essay on the metaphysics of the wave function. The Journal of Philosophy, 114(7), 333–365.Google Scholar
- Chen, E.K. (2017b). An intrinsic theory of quantum mechanics: progress in Field’s nominalistic program, part i. Preprint. http://philsci-archive.pitt.edu/13083/.
- Emery, N. (2017). Against radical quantum ontologies. Philosophy and Phenomenological Research. Advance access. https://doi.org/10.1111/phpr.12444.
- Forrest, P. (1988). Quantum metaphysics. Oxford: Basil Blackwell.Google Scholar
- Goldstein, S., & Zanghì, N. (2013). Reality and the role of the wave function in quantum theory. In Ney, A., & Albert, D.Z. (Eds.) The wave function: essays on the metaphysics of quantum mechanics, chapter 4 (pp. 91–109). New York: Oxford University Press.Google Scholar
- Maudlin, T. (2013). The nature of the quantum state. In Ney, A., & Albert, D.Z. (Eds.) The wave function: essays on the metaphysics of quantum mechanics, chapter 6, (pp. 126–153). New York: Oxford University Press.Google Scholar
- Monton, B. (2013). Against 3N-dimensional space. In Ney, A., & Albert, D.Z. (Eds.) The wave function: essays on the metaphysics of quantum mechanics, chapter 7 (pp. 154–167). New York: Oxford University Press.Google Scholar
- Schaffer, J. (2009). On what grounds what. In Chalmers, D.J., Manley, D., & Wasserman, R. (Eds.) Metametaphysics: new essays on the foundations of ontology, chapter 12 (pp. 347–383). New York: Oxford University Press.Google Scholar
- Sellars, W. (1963). Empiricism and the philosophy of mind. In Science perception and reality (pp. 127–196). Atascadero: Ridgeview Company.Google Scholar
- Valentini, A. (2010). De Broglie–Bohm pilot-wave theory: many worlds in denial? In Saunders, S., Barrett, J., Kent, A., & Wallace, D. (Eds.) Many worlds? Everett, quantum theory, and reality, chapter 16 (pp. 476–509). New York: Oxford University Press.Google Scholar