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Fundamental Concepts of Quantum Theories

DOI: 10.4236/oalib.1106970, PP. 1-11

Subject Areas: Modern Physics

Keywords: Principles of Quantum Theories, Particles and Waves, Uncertainty and Determinism, Constraints on Acceptable Quantum Theories

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Abstract

The foundations of the mathematical structure of quantum theories of a massive particle are the basis of this analysis. It proves the coherence of the particle-wave duality of quantum theories and the principle of complementarity as well. Furthermore, the noncommutativity of Hermitian operators proves that quantum theories are inherently indeterministic. This feature does not deny the fact that the classical limit of quantum theories agrees with classical physics. It is also shown that the foundations of the mathematical structure of quantum theories impose constraints on any specific quantum theory. It is proved that the first-order Dirac theory is consistent with all constraints. In contrast, second-order theories, such as the Klein-Gordon, the electroweak theory of the W± and the Z particles, and the Higgs boson theory fail to do that. An analogous analysis proves that also the Majorana neutrino theory is inconsistent with fundamental requirements. Similarly, inconsistencies of Proca’s idea about a massive photon are shown.

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Comay, E. (2020). Fundamental Concepts of Quantum Theories. Open Access Library Journal, 7, e6970. doi: http://dx.doi.org/10.4236/oalib.1106970.

References

[1]  Stability Theory. https://en.wikipedia.org/wiki/Stability_theory
[2]  Landau, L.D. and Lifshitz, E.M. (2005) The Classical Theory of Fields. Elsevier, Amsterdam.
[3]  Jackson, J.D. (1975) Classical Electrodynamics. John Wiley, New York.
[4]  Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. Oxford University Press, London. https://doi.org/10.1063/1.3062610
[5]  Schiff, L.I. (1955) Quantum Mechanics. McGraw-Hill, New York.
[6]  Weinberg, S. (1995) The Quantum Theory of Fields. Vol. I. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9781139644167
[7]  ATLAS Collaboration (2012) Determination of the Strange Quark Density of the Proton from ATLAS Measurements of the W→lv and Z→ll Cross Sections. Physical Review Letters, 109, Article ID: 012001. https://arxiv.org/abs/1203.4051
[8]  Alberg, M. (2008) Parton Distributions in Hadrons. Progress in Particle and Nuclear Physics, 61, 140-146. https://doi.org/10.1016/j.ppnp.2007.12.003
[9]  Reimer, P.E. and the Fermilab SeaQuest Collaboration (2016) Sea Quarks in the Proton. EPJ Web of Conferences, 113, Article No. 05012. https://www.epj-conferences.org/articles/epjconf/pdf/2016/08/epjconf_fb2016_05012.pdf https://doi.org/10.1051/epjconf/201611305012
[10]  Reimer, P.E. (2020) Measurement of the Flavor Asymmetry in the Proton’s Sea Quarks. https://www.anl.gov/event/measurement-of-the-flavor-asymmetry-in-the-protons-sea-quarks
[11]  Bjorken, J.D. and Drell, S.D. (1965) Relativistic Quantum Fields. McGraw-Hill, New York. https://doi.org/10.1063/1.3047288
[12]  Bjorken, J.D. and Drell, S.D. (1964) Relativistic Quantum Mechanics. McGraw-Hill, New York.
[13]  Peskin, M.E. and Schroeder, D.V. (1995) An Introduction to Quantum Field Theory. Addison-Wesley, Reading.
[14]  Merzbacher, E. (1970) Quantum Mechanics. John Wiley, New York.
[15]  Dirac Equation. https://en.wikipedia.org/wiki/Dirac_equation
[16]  Griffiths, D. (2008) Introduction to Elementary Particles. 2nd Edition, Wiley-VCH, Weinheim.
[17]  Dehmelt, H. (1988) A Single Atomic Particle Forever Floating at Rest in Free Space: New Value for Electron Radius. Physica Scripta, 1988, 102. https://doi.org/10.1088/0031-8949/1988/T22/016
[18]  Zyla, P.A., et al. (2020) Progress of Theoretical and Experimental Physics, 2020, 083C01. https://pdg.lbl.gov/2020/listings/contents_listings.html
[19]  Coulson, C.A. (1961) Waves. Oliver and Boyd, Edinburgh.
[20]  Double-Slit Experiment. https://en.wikipedia.org/wiki/Double-slit_experiment
[21]  Goldstein, H., Poole, C. and Safko, J. (2002) Classical Mechanics. 3rd Edition, Addison Wesley, San Francisco. https://doi.org/10.1119/1.1484149
[22]  Landau, L.D. and Lifshitz, E.M. (1960) Mechanics. Pergamon, Oxford.
[23]  Quantum Tunneling. https://en.wikipedia.org/wiki/Quantum_tunnelling
[24]  Sterman, G. (1993) An Introduction to Quantum Field Theory. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511622618

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