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The Quantum Mechanics Needs the Principle of Wave-Function Collapse—But This Principle Shouldn’t Be Misunderstood

DOI: 10.4236/jqis.2021.111004, PP. 42-63

Keywords: Quantum Mechanics, Wave-Function Collapse, Interpretations, Elements of Reality

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Abstract:

The postulate of the collapse of the wave-function stands between the microscopic, quantum world, and the macroscopic world. Because of this intermediate position, the collapse process cannot be examined with the formalism of the quantum mechanics (QM), neither with that of classical mechanics. This fact makes some physicists propose interpretations of QM, which avoid this postulate. However, the common procedure used in that is making assumptions incompatible with the QM formalism. The present work discusses the most popular interpretations. It is shown that because of such assumptions those interpretations fail, i.e. predict for some experiments results which differ from the QM predictions. Despite that, special attention is called to a proposal of S. Gao, the only one which addresses and tries to solve an obvious and major contradiction. A couple of theorems are proved for showing that the collapse postulate is necessary in the QM. Although non-explainable with the quantum formalism, this postulate cannot be denied, otherwise one comes to conclusions which disagree with the QM. It is also proved here that the idea of “collapse at a distance” is problematic especially in relativistic cases, and is a misunderstanding. Namely, in an entanglement of two quantum systems, assuming that the measurement of one of the systems (accompanied by collapse of that system on one of its states) collapses the other systems, too without the second system being measured, which leads to a contradiction.

References

[1]  von Neumann, J. (1932) Mathematische Grundlagen der Quantenmechanik. Springer, Berlin. English Translation by Beyer, R.T. (1955) Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton.
[2]  Lüders, G. (1950) Über die Zustandsänderung durch den Meßprozeß. Annalen der Physik, 443, 322-328. English Translation and Discussion by Kirkpatrick, K.A. (2006) Concerning the State-Change Due to the Measurement Process. Annals of Physics (Leipzig), 15, 663-670.
https://doi.org/10.1002/andp.19504430510
[3]  de Broglie, L. (1924) Recherches sur la théorie des quanta. In: Flint, H. T., Tran., An Introduction to the Study of the Wave Mechanics, First Edition 1930.
[4]  de Broglie, L. (1926) Ondes et mouvements. Publisher Gauthier-Villars.
[5]  Bohm, D. (1952) A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables. Parts I and II. Physical Review, 85, 166-179.
https://doi.org/10.1103/PhysRev.85.180
[6]  Hardy, L. (1992) On the Existence of Empty Waves in Quantum Theory. Physics Letters A, 167, 11-16.
https://doi.org/10.1016/0375-9601(92)90618-V
[7]  Gao, S. (2016) Meaning of the Wave Function—In Search of the Ontology of Quantum Mechanics. arXiv:quant-ph/1611.02738v1
[8]  Griffiths, R.B. (1984) Consistent Histories and the Interpretation of Quantum Mechanics. Journal of Statistical Physics, 36, 219-272.
[9]  Griffiths, R.B. (2002) Consistent Quantum Theory. Cambridge University Press, Cambridge, UK.
[10]  Griffiths, R.B. (2019) The Consistent Histories Approach to Quantum Mechanics. In Stanford Encyclopedia of Philosophy.
[11]  Cramer, J.G. (1986) The Transactional Interpretation of the Quantum Mechanics. Reviews of Modern Physics, 58, 647-688.
[12]  Cramer, J.G. (1988) An Overview of the Transactional Interpretation. International Journal of Theoretical Physics, 27, 227-236.
https://doi.org/10.1007/BF00670751
[13]  Everett, H. (1973) The Theory of the Universal Wavefunction. Thesis, Princeton University, Princeton, 1-140.
[14]  Feynman, R.P. and Hibbs, A.R. (1965) Quantum Mechanics and Path Integral. McGraw-Hill Companies, Inc., New York. [Emended Edition Daniel F. Styer (2005); Emended Re-Publication Dover Publication, Inc., Mineola, New York (2010)].
[15]  Ghirardi, G.-C., Rimini, A. and Weber, T. (1986) Unified Dynamics for Microscopic and Macroscopic Systems. Physical Review D, 34, 470-491.
https://doi.org/10.1103/PhysRevD.34.470
[16]  Ghirardi, G.-C., Pearle, P. and Rimini, A. (1990) Markov Processes in Hilbert Space and Continuous Spontaneous Localization of Systems of Identical Particles. Physical Review, A: Atomic, Molecular, and Optical Physics, 42, 78-89.
https://doi.org/10.1103/PhysRevA.42.78
[17]  Bassi, A. and Ghirardi, G.-C. (2003) Dynamical Reduction Models. Physics Reports, 379, 257-426.
https://doi.org/10.1016/S0370-1573(03)00103-0
[18]  Bedingham, D.J. (2009) Dynamical State Reduction in an EPR Experiment. Journal of Physics A: Mathematical and Theoretical, 42, Article ID: 465301.
https://doi.org/10.1088/1751-8113/42/46/465301
[19]  Wechsler, S.D. (2020) In Praise and in Criticism of the Model of Continuous Spontaneous Localization of the Wave-Function. Journal of Quantum Information Science, 10.
https://doi.org/10.4236/jqis.2020.104006
[20]  Berndl, K., Goldstein, S. and Zanghì, N. (1996) EPR-Bell Nonlocality, Lorentz Invariance, and Bohmian Quantum Theory. Physical Review A, 53, 2062.
https://doi.org/10.1103/PhysRevA.53.2062
[21]  Hardy, L. (1992) Quantum Mechanics, Local Realistic Theories, and Lorenz-Invariant Realistic Theories. Physical Review Letters, 68, 2981-2984.
https://doi.org/10.1103/PhysRevLett.68.2981
[22]  Wechsler, S. (2017) Hardy’s Paradox Made Simple—What We Infer from It?
https://www.researchgate.net/publication/318446904_Hardy’s_paradox_made_simple_-_what_we_infer_from_it
[23]  Englert, B.-J., Scully, M.O., Süssman, G. and Walther, H. (1992) Surrealistic Bohmian Trajectories. Zeitschrift für Naturforschung, 47, 1175-1186.
https://doi.org/10.1515/zna-1992-1201
[24]  Dewdney, C., Hardy, L. and Squires, E.J. (1993) How Late Measurements of Quantum Trajectories Can Fool a Detector. Physics Letters A, 184, 6-11.
https://doi.org/10.1016/0375-9601(93)90337-Y
[25]  Mahler, D.H., Rozema, L., Fisher, K., Vermeyden, L., Resch, K.J., Wiseman, H.M. and Steinberg, A. (2016) Experimental Nonlocal and Surreal Bohmian Trajectories. Science Advances, 2, e1501466.
http://advances.sciencemag.org
https://doi.org/10.1126/sciadv.1501466
[26]  Dürr, D., Fusseder, W., Goldstein, S. and Zanghì, N. (1993) Comment on “Surrealistic Bohm Trajectories”. Zeitschrift für Naturforschung, 48, 1261-1262.
https://doi.org/10.1515/zna-1993-1219
[27]  Englert, B.-G., Scully, M.O., Süssmann, G. and Walther, H. (1993) Reply to Comment on “Surrealistic Bohm Trajectories”. Zeitschrift für Naturforschung, 48, 1263.
https://doi.org/10.1515/zna-1993-1220
[28]  Hiley, B.J. and Callaghan, R.E. (2006) Delayed Choice Experiments and the Bohm Approach.
[29]  Ghose, P. (2001) On the Incompatibility of Standard Quantum Mechanics and the de Broglie-Bohm Theory.
[30]  Brida, G., et al. (2003) A Biphotons Double Slit Experiment. Physical Review A, 68, Article ID: 033803.
https://doi.org/10.1103/PhysRevA.68.033803
[31]  Marchildon, L. (2001) On Bohmian Trajectories in Two-Particle Interference Devices. arXiv:quant-ph/0101132
[32]  Ghose, P. (2001) Comments on “On Bohm Trajectories in Two-Particle Interference Devices” by L. Marchildon. arXiv:quant-ph/0102131
[33]  Struyve, W. and De Baere, W. (2001) Comments on Some Recently Proposed Experiments That Should Distinguish Bohmian Mechanics from Quantum Mechanics. arXiv:quant-ph/0108038v1
[34]  Ghose, P. (2002) Comments on Struyve and Baere’s Paper on Experiments to Distinguish Bohmian Mechanics from Quantum Mechanics. arXiv:quant-ph/0208192
[35]  Wechsler, S.D. (2019) The Wave-Particle Duality—Does the Concept of Particle Make Sense in Quantum Mechanics? Should We Ask the Second Quantization? Journal of Quantum Information Science, 9, 155-170.
https://doi.org/10.4236/jqis.2019.93008
[36]  Bacciagaluppi, G. and Valentini, A. (2009) Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference. Cambridge University Press, Cambridge, 426.
https://doi.org/10.1017/CBO9781139194983
[37]  Peres, A. (1978) Unperformed Experiments Have No Results. American Journal of Physics, 46, 745-747.
https://doi.org/10.1119/1.11393
[38]  Kent, A. (1997) Consistent Sets Yield Contrary Inferences in Quantum Theory. Physical Review Letters, 78, 2874-2877.
https://doi.org/10.1103/PhysRevLett.78.2874
[39]  Griffith, R.B. and Hartle, J.B. (1998) Comment on “Consistent Sets Yield Contrary Inferences in Quantum Theory”. Physical Review Letters, 81, 1981-1982.
https://doi.org/10.1103/PhysRevLett.81.1981
[40]  Kent, A. (1998) Consistent Sets and Contrary Inferences: Reply to Griffiths and Hartle. Physical Review Letters, 81, 1982.
[41]  Pearle, P. (1989) Combining Stochastic Dynamical State-Vector Reduction with Spontaneous Localization. Physical Review A, 39, 2277-2289.
https://doi.org/10.1103/PhysRevA.39.2277
[42]  Einstein, A., Podolsky, B. and Rosen, N. (1935) Can Quantum Mechanical Description of Physical Reality Be Considered Complete? Physical Review, 47, 777-780.
https://doi.org/10.1103/PhysRev.47.777
[43]  Xiao, Y., Kedem, Y., Xu, J.-S., Li, C.-F. and Guo, G.-C. (2017) Experimental Nonlocal Steering of Bohmian Trajectories. Optics Express, 25, 14463-14472.
https://doi.org/10.1364/OE.25.014463
[44]  Berndl, K. and Goldstein, S. (1994) Comment on “Quantum Mechanics, Local Realistic Theories, and Lorenz-Invariant Realistic Theories”. Physical Review Letters, 72, 780.
https://doi.org/10.1103/PhysRevLett.72.780

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