×

Bohr on EPR, the quantum postulate, determinism, and contextuality. (English) Zbl 07896329

Summary: The famous EPR article of 1935 challenged the completeness of quantum mechanics and spurred decades of theoretical and experimental research into the foundations of quantum theory. A crowning achievement of this research is the demonstration that nature cannot in general consist in noncontextual pre-measurement properties that uniquely determine possible measurement outcomes, through experimental violations of Bell inequalities and Kochen-Specker theorems. In this article, I reconstruct an argument from Niels Bohr’s writings that the reality of the Einstein-Planck-de Broglie relations alone implies that no such properties can exist for momentum and position measurements, show how this argument responds to the challenge of EPR on general physical grounds, and advance that this reconstruction shows that and how Bohr’s “complementarity” is a view of the objective content and logic of quantum theory.

MSC:

81Pxx Foundations, quantum information and its processing, quantum axioms, and philosophy
81-XX Quantum theory
00Axx General and miscellaneous specific topics
Full Text: DOI

References:

[1] Beller, M., Fine, A.: Bohr’s response to EPR. In: Faye, J., Folse, H.J. (eds.) Niels Bohr and Contemporary Philosophy, pp. 1-31. Kluwer Academic Publishers, Dordrecht (1994)
[2] Fine, A., The Shaky Game: Einstein, Realism, and the Quantum Theory, 1986, Chicago: University of Chicago Press, Chicago
[3] Healey, R., Quantum decoherence in a pragmatist view: dispelling Feynman’s mystery, Found. Phys., 42, 12, 1534-1555, 2012 · Zbl 1260.81145 · doi:10.1007/s10701-012-9681-5
[4] Beller, M., The rhetoric of antirealism and the Copenhagen spirit, Philos. Sci., 63, 2, 183-204, 1996 · doi:10.1086/289908
[5] Beller, M., Quantum Dialogue: The Making of a Revolution, 1999, Chicago: University of Chicago Press, Chicago · Zbl 1005.00501
[6] Cushing, JT, Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony, 1994, Chicago: University of Chicago Press, Chicago · Zbl 0828.00005
[7] Folse, H.J.: Bohr on Bell. In: McMullin, E., Cushing, J. (eds.) Philosophical Consequences of Quantum Theory: Reflections on Bell’s Theorem. University of Notre Dame Press, Indiana (1989)
[8] Faye, J., Niels Bohr: His Heritage and Legacy - An Anti-Realist View of Quantum Mechanics, 1991, Dordrecht, Heidelberg, London, and New York: Springer, Dordrecht, Heidelberg, London, and New York · doi:10.1007/978-94-011-3200-8
[9] Katsumori, M., Niels Bohr’s Complementarity : Its Structure, History, and Intersections with Hermeneutics and Deconstruction, 2011, Dordrecht, Heidelberg, London, and New York: Springer, Dordrecht, Heidelberg, London, and New York · doi:10.1007/978-94-007-1748-0
[10] Feyerabend, PK; Mckay, DM, Complementarity, Aristot. Soc. Suppl., 32, 1, 75-122, 1958 · doi:10.1093/aristoteliansupp/32.1.75
[11] MacKinnon, E.: Bohr and the realism debates. In: Faye, J., Folse, H.J. (eds.) Niels Bohr and Contemporary Philosophy, pp. 279-302. Kluwer Academic Publishers, Dordrecht (1994)
[12] Shomar, T., Bohr as a phenomenological realist, J. Gen. Philos. Sci. / Zeitschrift für Allgemeine Wissenschaftstheorie, 39, 2, 321-349, 2008 · doi:10.1007/s10838-009-9078-0
[13] Maleeh, R.; Amani, P., Pragmatism, Bohr, and the Copenhagen interpretation of quantum mechanics, Int. Stud. Philos. Sci., 27, 4, 353-367, 2013 · Zbl 1319.81012 · doi:10.1080/02698595.2013.868182
[14] Bohr, N.: Introductory survey. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 279-302. North-Holland Physics Publishing, Amsterdam (1929/1985)
[15] Bohr, N.: The quantum postulate and the recent development of atomic theory. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 148-158. North-Holland Physics Publishing, Amsterdam (1928/1985) · JFM 54.1006.01
[16] Bohr, N.: The quantum of action and the description of nature. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 208-217. North-Holland Physics Publishing, Amsterdam (1928/1985)
[17] Held, C.: The Kochen-Specker theorem. In: Zalta, E.N., Nodelman, U. (eds.) The Stanford Encyclopedia of Philosophy, Fall, 2022nd edn. Stanford University, Metaphysics Research Lab (2022)
[18] Kochen, S.; Specker, EP, The problem of hidden variables in quantum mechanics, J. Math. Mech., 17, 59-87, 1967 · Zbl 0156.23302
[19] Peres, A., Incompatible results of quantum measurements, Phys. Lett. A, 151, 3, 107-108, 1990 · doi:10.1016/0375-9601(90)90172-K
[20] Mermin, ND, Simple unified form for the major no-hidden-variables theorems, Phys. Rev. Lett., 65, 3373-3376, 1990 · Zbl 0971.81501 · doi:10.1103/PhysRevLett.65.3373
[21] Kunjwal, R.; Spekkens, RW, From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism, Phys. Rev. Lett., 115, 110403, 2015 · doi:10.1103/PhysRevLett.115.110403
[22] Bell, J.S.: Bertlmann’s socks and the nature of reality. In: Speakable and Unspeakable in Quantum Mechanics, pp. 139-158. Cambridge University Press, Cambridge (2004) · Zbl 1239.81002
[23] Myrvold, W., Genovese, M., Shimony, A.: Bell’s theorem. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy, Fall, 2021st edn. Stanford University, Metaphysics Research Lab (2021)
[24] Blaylock, G., The EPR paradox, Bell’s inequality, and the question of locality, Am. J. Phys., 78, 1, 111-120, 2010 · doi:10.1119/1.3243279
[25] Mermin, ND, What’s wrong with these elements of reality?, Phys. Today, 43, 9-11, 1990
[26] Zeilinger, A., A foundational principle for quantum mechanics, Found. Phys., 29, 4, 631-643, 1999 · doi:10.1023/A:1018820410908
[27] Ryckman, T.: Einstein. Routledge, New York (2017)
[28] Einstein, A.; Podolsky, B.; Rosen, N., Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev., 47, 777-780, 1935 · Zbl 0012.04201 · doi:10.1103/PhysRev.47.777
[29] Howard, D., Einstein on locality and separability, Stud. Hist. Philos. Sci. Part A, 16, 3, 171, 1985 · doi:10.1016/0039-3681(85)90001-9
[30] Bohr, N., Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev., 48, 696-702, 696-702, 1935 · Zbl 0012.42701 · doi:10.1103/PhysRev.48.696
[31] Bohr, N.: Discussion with Einstein on epistemological problems in atomic physics. In: Rüdinger, E., Aaserud, F., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 7, Foundations of Quantum Physics II, pp. 341-381. Elsevier Science B.V., Amsterdam (1949/1996)
[32] Uffink, JBM; Hilgevoord, J., Uncertainty principle and uncertainty relations, Found. Phys., 15, 9, 925-944, 1985 · doi:10.1007/BF00739034
[33] Greenstein, G.; Zajonc, AG, The Quantum Challenge: Modern Research on the Foundations of Quantum Mechanics, 1997, London: Jones and Bartlett Publishers, London
[34] Redhead, M., Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics, 1987, Oxford: Oxford University Press, Oxford · Zbl 0611.03003
[35] Kumar, M., Quantum: Einstein, Bohr, and the Great Debate About the Nature of Reality, 2009, India: Hachette, India
[36] Whitaker, MAB, The EPR paper and Bohr’s response: A re-assessment, Found. Phys., 34, 9, 1305-1340, 2004 · Zbl 1059.81015 · doi:10.1023/B:FOOP.0000044095.69270.31
[37] Becker, A., What Is Real?: The Unfinished Quest for the Meaning of Quantum Physics, 2018, New York: Basic Books, New York
[38] Maudlin, T.: The Defeat of Reason (2018)
[39] Norsen, T.: EPR and Bell Locality. AIP Conference Proceedings 844(1), 281-293 (2006) doi:10.1063/1.2219369 · Zbl 1121.81304
[40] Stapp, HP, EPR and Bell’s theorem: a critical review, Found. Phys., 21, 1, 1-23, 1991 · doi:10.1007/BF01883560
[41] Whitaker, A.: Einstein, Bohr and the Quantum Dilemma: From Quantum Theory to Quantum Information, 2nd edn. Cambridge University Press, Cambridge (2006). doi:10.1017/CBO9780511805714
[42] Fine, A.: The Einstein-Podolsky-Rosen Argument in Quantum Theory. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy, Summer, 2020th edn. Stanford University, Metaphysics Research Lab (2020)
[43] Howard, D.: Complementarity and ontology: Niels Bohr and the problem of scientific realism in quantum physics. PhD thesis, Boston University (1979)
[44] Halvorson, H., Clifton, R.: Reconsidering Bohr’s reply to EPR. In: Placek, T., Butterfield, J. (eds.) Non-locality and Modality, pp. 3-18. Kluwer Academic Publishers, Dordrecht (2001)
[45] Howard, D.: Revisiting the Einstein-Bohr dialogue. Iyyun: The Jerusalem Philosophical Quarterly 56, 57-90 (2007)
[46] Bohr, N.: The quantum postulate and the recent development of atomic theory [draft b]. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 113-136. North-Holland Physics Publishing, Amsterdam (1927/1985)
[47] Einstein, A., Bohr, N., Dirac, P., Heisenberg, W.: General discussion at the fifth Solvay conference. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 99-106. North-Holland Physics Publishing, Amsterdam (1927/1985)
[48] Barad, K., Meeting the Universe Halfway, 2007, Durham and London: Duke University Press, Durham and London · doi:10.2307/j.ctv12101zq
[49] Bohr, N.: The quantum postulate and the recent development of atomic theory [draft a]. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 91-98. North-Holland Physics Publishing, Amsterdam (1927/1985)
[50] Hilgevoord, J., Uffink, J.: The Uncertainty Principle. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy, Winter, 2016th edn. Stanford University, Metaphysics Research Lab (2016) · Zbl 0959.81502
[51] Bohr, N.: Fundamental problems of the quantum theory. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 75-80. North-Holland Physics Publishing, Amsterdam (1927/1985)
[52] Norton, J.: Waves and Particles. URL https://sites.pitt.edu/ jdnorton/teaching/HPS_0410/chapters/quantum_theory_waves/index.html (2017)
[53] Bohr, N.: Bohr to Oseen, 5 Nov 1928. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 189-191. North-Holland Physics Publishing, Amsterdam (1928/1985)
[54] Bohr, N.: The causality problem in atomic physics. In: Rüdinger, E., Aaserud, F., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 7, Foundations of Quantum Physics II, pp. 303-322. Elsevier Science B.V., Amsterdam (1939/1996)
[55] Bohr, N., On the notions of causality and complementarity, Dialectica, 2, 3-4, 312-319, 1948 · Zbl 0041.35312 · doi:10.1111/dltc.1948.2.issue-3-4
[56] Bohr, N.: Quantum physics and philosophy: Causality and Complementarity. In: Rüdinger, E., Aaserud, F., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 7, Foundations of Quantum Physics II, pp. 388-394. Elsevier Science B.V., Amsterdam (1958/1996)
[57] Bohr, N.: On atoms and human knowledge. In: Rüdinger, E., Aaserud, F., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 7, Foundations of Quantum Physics II, pp. 412-423. Elsevier Science B.V., Amsterdam (1958/1996)
[58] Bohr, N.: The atomic theory and the fundamental principles underlying the description of nature. In: Rüdinger, E., Kalckar, J. (eds.) Niels Bohr, Collected Works: Volume 6, Foundations of Quantum Physics I, pp. 236-253. North-Holland Physics Publishing, Amsterdam (1929/1985)
[59] Smith, G.E.: Closing the loop: Testing Newtonian Gravity, then and now. In: Newton and Empiricism. Oxford University Press, Oxford (2014). doi:10.1093/acprof:oso/9780199337095.003.0011._eprint: https://academic.oup.com/book/0/chapter/162918355/chapter-ag-pdf/44910125/book_12764_section_162918355.ag.pdf
[60] Stairs, A.: Correlations and counterfactuals: The EPR illusion. In: Frappier, M., Brown, D., DiSalle, R. (eds.) Analysis and Interpretation in the Exact Sciences: Essays in Honour of William Demopoulos. Springer, Dordrecht and London (2011)
[61] Einstein, A., Born, M., Born, H., Born, I.: Quantum Mechanics and Reality. The Born-Einstein Letters: Correspondence Between Albert Einstein and Max and Hedwig Born from 1916-1955, with Commentaries by Max Born. Macmillan, London and Basingstoke (1971). https://books.google.com/books?id=HvZAAQAAIAAJ · Zbl 0181.00203
[62] Folse, H.J.: Bohr’s conception of the quantum mechanical state of a system and its role in the framework of Complementarity (2002). doi:10.48550/ARXIV.QUANT-PH/0210075
[63] Heisenberg, W., Physics and Philosophy: The Revolution in Modern Science, 1958, New York: Harper & Brothers Publishers, New York
[64] Griffiths, D.J., Schroeter, D.F.: Introduction to Quantum Mechanics, 3rd edn. Cambridge University Press, Cambridge (2018). doi:10.1017/9781316995433 · Zbl 1402.81003
[65] von Neumann, J., Mathematical Foundations of Quantum Mechanics, 1955, Princeton: Princeton University Press, Princeton · Zbl 0064.21503
[66] Dirac, P., The Principles of Quantum Mechanics, 1958, London: Oxford University Press, London · Zbl 0080.22005
[67] Pauli, W., Über gasentartung und paramagnetismus, Zeitschrift für Physik A Hadrons Nuclei, 41, 2, 81-102, 1927 · JFM 53.0861.01 · doi:10.1007/BF01391920
[68] Busch, P.; Lahti, PJ, The standard model of quantum measurement theory: history and applications, Found. Phys., 26, 7, 875-893, 1996 · doi:10.1007/BF02148831
[69] Born, M., Quantenmechanik der stossvorgänge, Zeitschrift für physik, 38, 11, 803-827, 1926 · JFM 52.0973.04 · doi:10.1007/BF01397184
[70] Heisenberg, W., Der Teil und Das Ganze, 1986, Munich, Germany: Piper, Munich, Germany
[71] Auffèves, A.; Grangier, P., Contexts, systems and modalities: a new ontology for quantum mechanics, Found. Phys., 46, 2, 121-137, 2016 · Zbl 1334.81009 · doi:10.1007/s10701-015-9952-z
[72] Brukner, Č.: In: Bertlmann, R., Zeilinger, A. (eds.) On the Quantum Measurement Problem, pp. 95-117. Springer, Cham (2017). doi:10.1007/978-3-319-38987-5_5
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.