Abstract
Bell’s Theorem is one of the most profound results in physics of the twentieth century. Not only does it have a significant impact on natural philosophy and on the true meaning of quantum mechanics, it also has stimulated important and practical new research in quantum optics. In 1972 at the CQ03 Rochester conference, in response to a number of disturbing issues and challenges then raised by Ed Jaynes concerning the foundations of quantum electrodynamics, I introduced the quantum optics community to Bell’s Theorem and a few of the associated mysteries manifest in quantum entanglement. Given the widespread belief that the foundations of quantum mechanics were then well understood, needless to say, my 1972 talks were then met with considerable skepticism. Eventually, however, the importance of Bell’s Theorem gained full acceptance, so that now it is discussed in many recent quantum mechanics and quantum optics textbooks. Similarly, my first experimental test (with Stuart Freedman in 1972) of the Bell-Clauser-Horne-Shimony-Holt prediction has since then been repeated and confirmed literally dozens of times, and that prediction now provides a standard quantitative measure of entanglement. Moreover, the fundamental ideas underlying Bell’s Theorem have been found to be sufficiently useful and important, that it is doubtful that the parallel conference ICQI-2001 would have occurred without them. This article recounts the important historical events behind the development of Bell’s Theorem.
Formerly at Department of Physics, univ. of California — Berkeley (retired).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. F. Clauser and A. Shimony, Rep. Prog. Phys. (1978) 411881–1927.
Epistemological Letters (Association Ferdinand Gonseth, Institut de la Methode, Case Postale 1081, CH-2501, Bienne.) This newspaper was somewhat unique for its time, in that it openly proclaimed that the usual stigma against hidden-variable theories, and the like, was to be absent for publications within it.
J. S. Bell, Speakable and unspeakable in quantum mechanics, (Cambridge Univ. Press, Cambridge, 1987).
Max Jammer, in Sect. 4.2 of his book, The Conceptual Development of Quantum Mechancs, (McGraw-Hill, New York, 1966) argues that Bohr’s denial of realism was in response to his being strongly influenced by the contemporary philosophers, Kierkegaard and Høffding.
J. von Neumann, Mathematische Grundlagen der Quantenmechanic, (Springer-Verlag, 1932). English translation: Mathematical Foundations of Quantum Mechanics, (Princeton University Press, 1955).
A. Einstein, B. Podolsky, and N. Rosen (1935), Phys. Rev. 47, 777–80.
N. Bohr,Phys. Rev. 48, 696 (1935); Nature 136, 65 (1935).
E. Schrödinger, Proc. Camb. Phil. Soc. 31, 555 (1935).
W. H. Furry, Phys. Rev. 49, 393 (1936); Phys. Rev. 49, 476 (1936). The second paper emphasizes the differences between his and Schrödinger’s views of this result.
A. H. Compton and A. W. Simon, Phys. Rev. 26, 289–299 (1925). This experiment is a more precise repetition of an earlier experiment by W. Bothe and H. Geiger, Zeits. für Physik, 26, 44 (1924). Schrödinger, however, subsequently found a semi-classical explanation of this experiment, and went on to propose an important relevant experiment. See “Splitting photons?”.
N. Bohr, H. A. Kramers, and J. C. Slater, Phil. Mag. [6] 47, 785–802 (1924).
J. S. Bell, Phys. World, Aug. 33–40 (1990).
D. Bohm, Quantum Theory, (Prentis Hall, Englewood Cliffs, NJ, 1950).
D. Bohm and Y. Aharonov, Phys. Rev. 108, 1070 (1957).
C. S. Wu and I. Shaknov, Phys. Rev. 77, 136 (1950).
D. Bohm, Phys. Rev. 85, 169 (1952). See also, D. Bohm and 1. P. Vigier, Phys. Rev. 96, 208 (1954). Fortunately, this work was published before the APS policy had been formulated. Presumably, it would have not passed muster under that policy.
L. deBroglie, Nonlinear Wave Mechanics, (Elsevier, Amsterdam, 1960); Ondes Electromagnetiques et Photons, (Gauthier-Villars, Paris, 1968); and Introduction to the Vigier Theory of Elementary Particles, (Elsevier, Amsterdam, 1963).
J. S. Bell, Revs. Mod. Phys. 38, 447 (1965).
J. S. Bell, Physics, 1, 195 (1964).
John Bell confesses in the preface to his book, Speakable and unspeakale in quantum mechanics, to being similarly enamored with these features of pilot-wave theories.
C. A. Kocher and E. D. Commins, Phys. Rev. Lett., 18, 575 (1969).
According to David Wick [The Infamous Boundary — Seven Decades of Controversy in Quantum Physics, Birkhäuser, Boston, 1995], my 1969 letter was the first response to his 1964 paper that Bell had received
J. F. Clauser, Bull. Amer. Phys. Soc. 14, 578 (1969).
J, F, Clauser, M. A. Home, A. Shimony, and R. A. Holt, Phys. Rev. Lett., 23, 880 (1969). This paper first coined the term “Bell’s Theorem”.
S. J. Freedman and J. F. Clauser, Phys. Rev. Lett. 28, 938 (1972).
J. F. Clauser, Phys. Rev. Lett., 36, 1223, (1976).
J. F. Clauser, Il Nuovo Cimento, 33B, 740 (1976).
E. S. Fry and R. C. Thompson, Phys. Rev. Lett. 37, 465 (1976).
J. F. Clauser and M. A. Home, Phys. Rev. D 10, 526–535 (1974).
Shortly following CHSH, Bell did extend the range of applicability of the CHSH result further to include the effects of additional hidden variables in each apparatus. [J. S. Bell, Introduction to the hidden-variables question, in Foundations of Quantum Mechanics, Proceedings of the International School of Physics, “Enrico Fermi”, B. d’ Espagnat, ed. (Academic Press, New York, 1971), pp. 170–194]. However, in doing so he adds no new premises to Bell’ s Theorem in this new derivation, and similarly explicitly assumes determinism to hold.
J. S. Bell, Science, 177, 880 (1972).
E. S. Fry, T. Walther, and S. Li, Phys. Rev. A, 52, 4381–4395 (1995).
A. Aspect, P. Grangier and G. Roger, Phys. Rev. Lett., 49, 91 (1982).
J.S. Bell, Communication at the 6th Gift Conf. Jaca, June 1975, Res Th 2053-CERN. Perhaps, Bell’s reason for not publishing this result in 1975 is that he may have been afraid that doing so might warrant his being branded a quack, given the then existing stigma against such work.
See, J. S. Bell, A. Shimony, M. A. Home, and J. F. Clauser, Dialectica, 39, pp.85–110, (1985), for a republication of this interchange that also includes Bell’s “Beablesrd paper.
See also, A. Shimony, Search for a Naturalistic World, (Cambridge Univ. Press, Cambridge, 1993). More recently, the importance of these concepts was independently rediscovered by J. Jarrett [Noûs, 18,569 (1984)].
W. E. Lamb and Scully, in Polarization: Matière et Rayonnement, (Presses Universitaires de France, Paris, 1969), edited by Société Française de de Physique.
P. A. Franken, in Atomic Physics: Pooceedings of the 1st International Conference on Atomic Physics, (Plenum, New York, 1968) V. Hughes et al. eds., p.377.
E, T. Jaynes and Cummings, Proc. IEEE 51, 89 (1963); C. R. Stroud, Jr. and E. T. Jaynes, Phys. Rev. A 1,106 (1970); M. D. Crisp and E. T. Jaynes, Phys. Rev. 179, 1253 (1969); 185, 2046 (1969). See also, P. A. Nesbet, Phys. Rev. A 4, 259 (1971).
J. F. Clauser, Phys. Rev. A, 6, 49 (1972).
The proceedings of this conference are in Coherence and Quantum Optics, (Plenum Press, New York, 1973) L. Mandel and E. Wolf, eds.
J. M. Jauch and F. Rohrlich, The Theory of Photons and Electrons (Addison-Wesley, Reading, MA, 1955).
J. M. Jauch, Dialogue on the Question ARE QUANTA REAL? (Univ. of Geneva, preprint, 1971).
E. Schrödinger, Physikalische Zeits. 23, 301–303 (1922); Die Naturwissenschaften 12, 720-724 (1924); Il Nuovo Cimento 9,162-170 (1958).
A. Ádám, L. Jánnosy and P. Varga, Acta Phys. Hung., 4, 301 (1955); Ann. Physik, 16, 408, (1956).
J. F. Clauser, Phys. Rev. D, 9, 853 (1974).
P. Grangier, G. Roger, and A. Aspect, Europhys. Lett., 20, 1061 (1986).
A. Aspect, J. Dalibard and G. Roger, Phys. Rev. Lett., 49, 1804 (1982).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this paper
Cite this paper
Clauser, J.F. (2003). Early History of Bell’s Theorem. In: Bigelow, N.P., Eberly, J.H., Stroud, C.R., Walmsley, I.A. (eds) Coherence and Quantum Optics VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8907-9_2
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8907-9_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4715-6
Online ISBN: 978-1-4419-8907-9
eBook Packages: Springer Book Archive