A conjecture concerning determinism, reduction, and measurement in quantum mechanics

Smoluchowski, M.v.: Über den Begriff des Zufalls und den Ursprung der Wahrscheinlichkeitsgesetze in der Physik. Die Naturwissenschaften 6 (17), 253–263 (1918) Wolfram, S.: A New Kind of Science. Wolfram Media, Champaign (2002) Dirac, P.A.M.: Development of the Physicist’s Conception of Nature. In: Mehra, J. (ed.): The Physicist’s Conception of Nature, pp. 1–14. Reidel Publishing Company, Dordrecht (1973) (the quotation is from p. 7) Neumann, J.v.: Mathematische Grundlagen der Quantenmechanik. Springer, Berlin (1932). English translation: Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton NJ, 1955) Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1987) Kochen, S., Specker, E.P.: The problem of hidden variables in quantum mechanics. J. Math. Mech. 17(1), 59–87 (1967) Conway, J., Kochen, S.: The free will theorem. Found. Phys. 36, 1441–1473 (2006). (Slightly updated version) arXiv:quant-ph/0604079 Ax, J., Kochen, S.: Extension of quantum mechanics to individual systems. arXiv:quant-ph/9905077 Einstein, A.: On the method of theoretical physics. Philos. Sci. 1, 163–169 (1934) (the quotation is from p. 169) Jabs, A.: An interpretation of the formalism of quantum mechanics in terms of epistemological realism. Brit. J. Philos. Sci. 43, 405–421 (1992). arXiv:1212.4687 Jabs, A.: Quantum mechanics in terms of realism. (2016). arXiv:quant-ph/9606017 Jabs, A.: A realist view on the treatment of identical particles. (2015). arXiv:quant-ph/0605136 Born, M.: Quantenmechanik der Stoßvorgänge. Z. Phys. 38, 803–827 (1926) Born, M.: Zur Quantenmechanik der Stoßvorgänge, Z. Phys. 37, 863–867 (1926). (English translation in [38, p. 52-55]) Huang, K.: Statistical Mechanics, 2nd edn. Wiley, New York (1987) Feller, W.: An Introduction to Probability Theory and Its Applications, Vol. I, 3rd. edn., Vol. II, 2nd. edn. Wiley, New York (1970 and 1971) Paul, H.: Introduction to Quantum Optics. Cambridge University Press, Cambridge (2004) (Sec. 7.4) Kaltenbaek, R., Blauensteiner, B., Zukowski, M., Aspelmeyer, M., Zeilinger, A.: Experimental interference of independent photons. Phys. Rev. Lett. 96, 240502 (2006). arXiv:quant-ph/0603048 Laloë, F.: The hidden phase of Fock states; quantum non-local effects. Eur. Phys. J. D33 (1), 87–97 (2005). arXiv:quant-ph/0409097 Klaers, J., Schmitt, J., Vewinger, F., Weitz, M.: Bose–Einstein condensation of photons in an optical microcavity. Nature 468, 545–548 (2010). arXiv:1007.4088 Cohen-Tannoudji, C., Diu, B., Laloë, F.: Quantum Mechanics, vol. I, II. Wiley, New York (1977) Bargmann, V.: On unitary ray representations of continuous groups. Ann. Math. 59(1), 1–46 (1954) Messiah, A.: Quantum Mechanics, vol. I, II. North-Holland Publishing Company, Amsterdam (1961) Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics, Vol. III, pp. 6-5–6-6. Addison-Wesley, Reading (1965) Lévy-Leblond, J.-M.: Quantum fact and classical fiction: clarifying Landé’s pseudo-paradox. Am. J. Phys. 44(11), 1130–1132 (1976) Hornberger, K., Gerlich, S., Haslinger, P., Nimmrichter, S., Arndt, M.: Colloquium: quantum interference of clusters and molecules. Rev. Mod. Phys. 84(1), 157–173 (2012). arXiv:1109.5937 Arndt, M., Hornberger, K.: Quantum interferometry with complex molecules. In: Deveaud-Pledran, B., Quattropani, A., Schwendimann, P. (eds.) Quantum Coherence in Solid State Systems, International School of Physics ‘Enrico Fermi’, Course CLXXI, vol. 171. IOS Press, Amsterdam (2009). arXiv:0903.1614 Arndt, M., Gerlich, S., Hornberger, K., Mayor, M.: Interferometrie mit komplexen Molekülen. Phys. J. 9(10), 37–43 (2010) Bethe, H.A., Salpeter, E.E.: Quantum Mechanics of One- and Two-Electron Atoms, p. 83. Plenum, New York (1977) Jauch, J.M., Rohrlich, F.: The Theory of Photons and Electrons, p. 410. Springer, New York (1976) Adler, S.L.: Why decoherence has not solved the measurement problem: a response to P.W. Anderson. Stud. Hist. Philos. Mod. Phys. 34, 135–142 (2003). arXiv:quant-ph/0112095 Zurek, W.H.: Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys. 75, 715–774 (2003). arXiv:quant-ph/0105127 Joos, E.: Decoherence: an introduction. In: Physics and philosophy (2007—ID: 010), pp. 1–26 Ghirardi, G.C., Rimini, A., Weber, T.: Unified dynamics for microscopic and macroscopic systems. Phys. Rev. D 34(2), 470–491 (1986) ([5, p. 201–212]) Bassi, A.: Dynamical reduction models: present status and future developments. J. Phys. Conf. Ser. 67 012013 (2007). (and literature cited therein) arXiv:quant-ph/0701014 Pearle, P.: Collapse models. In: Breuer, H.-P., Petruccione, F. (eds.) Open Systems and Measurement in Relativistic Quantum Theory, pp. 195–234. Springer, Berlin (1999). arXiv:quant-ph/9901077 Brusheim-Johansson, H., Hansson, J.: A chaotic dynamical reduction model for the quantum mechanical state vector. arXiv:quant-ph/0611003 Wheeler, J.A., Zurek, W.H. (eds.): Quantum Theory and Measurement. Princeton University Press, Princeton (1983) Einstein, A.: Relativity, The Special and the General Theory (Methuen, London, 1970) Appendix V, the quotation is from, pp. 141, 142 (1970) Holland, P.R.: The Quantum Theory of Motion, pp. 350, 404. Cambridge University Press, Cambridge (1993) Süßmann, G.: Einführung in die Quantenmechanik, pp. 27, 75. Bibliographisches Institut, Mannheim (1963) Wigner, E.P.: Interpretation of Quantum Mechanics. 38, pp. 260–314 (especially p. 291) Bohr, N.: Discussion with Einstein on epistemological problems in atomic physics. In: Schilpp, P.A. (ed.): Albert Einstein: Philosopher-Scientist, pp. 199–241. Cambridge University Press, London (1949) (the quotation is from p. 210 (Reprinted in [38, p. 9–49]) Bunge, M.: Quantum Mechanics and Measurement. Int. J. Quant. Chem. 12(Suppl. 1), 1–13 (1977) Schlosshauer, M., Fine, A.: On Zurek’s derivation of the Born rule. Found. Phys. 35(2), 197–213 (2005). (This paper comments on various attempts to derive the Born rules) arXiv:quant-ph/0312058 Heitler, W.: The Quantum Theory of Radiation, 3rd edn, p. 65. Oxford University Press, Oxford (1954) Akhiezer, A.I., Berestetskii, V.B.: Quantum Electrodynamics, p. 178. Interscience Publishers, New York (1965) Davydov, A.S.: Quantum Mechanics, 2nd edn, p. 130. Pergamon Press, Oxford (1976) Dirac, P.A.M.: The quantum theory of emission and absorption of radiation. Proc. R. Soc. Lond. A 114, 243–265 (1927) Mandel, L., Wolf, E.: Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge (1995) (Sec. 10.7) Pauli, W.: Die allgemeinen Prinzipien der Wellenmechanik. In: Geiger, H., Scheel, K. (eds.) Handbuch der Physik, Vol. V, Part 1. Springer, Berlin (1958) pp. 60 footnote 1. English translation of a 1958 reprint by Achuthan, P., Venkatesan, K.: General Principles of Quantum Mechanics (Springer-Verlag, Berlin, 1980) p. 63, footnote 2 Schrödinger, E.: Spezielle Relativitätstheorie und Quantenmechanik (Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse (1931)) pp. 238–247 (especially p. 242) Becker, R.: Electromagnetic Fields and Interactions, vol. II, Quantum Theory of Atoms and Radiation, pp. 125. Dover Publications, New York (1982)