References

[1]   L. E. Ballentine. The statistical interpretation of quantum mechanics. Reviews of Modern Physics, 42:358–381, 1970.

[2]   L. E. Ballentine. Quantum Mechanics. Prentice Hall, Englewood Cliffs, NJ, 1989.

[3]   J. A. Barrett. The Quantum Mechanics of Minds and Worlds. Oxford University Press, Oxford, 1999.

[4]   John S. Bell. On the problem of hidden variables in quantum mechanics. Reviews of Modern Physics, 38:447–452, 1966.

[5]   John Stuart Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1:195–200, 1964.

[6]   P. Busch, T. Heinonen, and P. Lahti. Heisenberg’s uncertainty principle. Physics Reports, 452:155–176, 2007.

[7]   P. A. M. Dirac. The principles of quantum mechanics. Oxford University Press, Oxford, 4. edition, 1958. p. 88.

[8]   A. Einstein. Reply to Criticism, page 665. Harper and Row, New York, 1949.

[9]   A. Einstein, B. Podolsky, and N. Rosen. Can quantum-mechanical description of physical reality be considered complete? Phys. Rev., 47(10):777–780, May 1935.

[10]   J. Erhart, S. Sponar, G. Sulyok, B. Badurek, M. Ozawa, and Y. Hasegawa. Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin-measurement. Nature Physics, 8:185, 2012.

[11]   Arthur Fine. The Shaky Game. The University of Chicago Press, Chicago and London, 1986.

[12]   Karl Hess, Hans De Raedt, and Kristel Michielsen. Hidden assumptions in the derivation of the Theorem of Bell. 2011. invited paper presented at FQMT11, available at http://www.arxiv.org/abs/quant-ph/1108583.

[13]   H. F. Hofmann. Measurement uncertainties in the quantum formalism: quasi-realities of individual systems. In Proceedings of QIT26, 2012, available at http://arXiv.org/abs/quant-ph/1205.0073.

[14]   E. H. Kennard. Zur Quantenmechanik einfacher Bewegungstypen. Z. Physik, 44:326–352, 1927.

[15]   Y. H. Kim and Y. H. Shih. Experimental realization of Popper’s experiment: violation of the uncertainty principle ? Foundations of Physics, 29:1849–1861, 1999.

[16]   U. Klein. A website explaining the statistical interpretation of quantum theory. http://statintquant.net.

[17]   U. Klein. What is the limit ℏ →  0  of quantum theory? American Journal of Physics. ’conditionally accepted’ for publication, a similar paper is available online at http://arxiv.org/abs/1201.0150.

[18]   U. Klein. Schrödinger’s equation with gauge coupling derived from a continuity equation. Foundations of physics, 39:964, 2009.

[19]   U. Klein. The statistical origins of quantum mechanics. Physics Research International, Article ID 808424, 2011. Open access paper available at http://downloads.hindawi.com/journals/phys/2010/808424.pdf.

[20]   H. Margenau and J. L. Park. The physics and the semantics of quantum measurement. Foundations of Physics, 3(1):19–28, 1973.

[21]   N. D. Mermin. Hidden variables and the two theorems of John Bell. Reviews of Modern Physics, 65:803–815, 1993.

[22]   M. Ozawa. Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurements. Phys. Rev. A, 67:042105, 2003.

[23]   M. R. Pahlavani, editor. Measurements in Quantum Mechanics, chapter ’A statistical derivation of non-relativistic quantum theory’, by U. Klein, pages 141–174. InTech, Rijeka, 2012. online available at http://www.intechopen.com/download/pdf/29091.

[24]   J. L. Park and H. Margenau. Simultaneous measurability in quantum theory. International Journal of Theoretical Physics, 1:211–283, 1968.

[25]   Karl R. Popper. The Open Universe - an Argument for Indeterminism. Rowman and Littlefield, Totowa, 1982.

[26]   Karl R. Popper. Quantum theory and the schism in physics. Rowman and Littlefield, Totowa, 1982.

[27]   E. Prugovečki. On a theory of measurement of incompatible observables in quantum mechanics. Can. J. of Physics, 45:2173–2219, 1967.

[28]   Michael Redhead. Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics. Clarendon Press, Oxford, 1990.

[29]   Mark P. Silverman. Quantum Superposition. Springer, New York, 2008. p.10.

[30]    A. Tonomura. Demonstration of single-electron buildup of an interference pattern, 1989. Video available at http://www.hitachi.com/rd/research/em/movie.html.

[31]   A. Tonomura, J. Endo, T. Matsuda, and T. Kawasaki. Demonstration of single-electron buildup of an interference pattern. Am. J. Phys., 57(2):117–120, 1989.

[32]   H. M. Wiseman. From Einstein’s theorem to Bell’s theorem: a history of quantum nonlocality. Contemporary Physics, 47:79–88, 2006. available at http://www.arxiv.org/abs/quant-ph/0509061.