Quantum Mechanics: Some Questions

This initial chapter is devoted to a brief, critical review of the major conceptual difficulties that permeate the whole of quantum mechanics, especially when it is interpreted within the framework of the (mainstream or orthodox) Copenhagen school. The text is written for a reader who is interested in these issues and ready to accept that no interpretationInterpretation of quantum mechanics is free of conceptual difficulties, which require some repair. A short overview of the contents of the book is included at the end of the chapter, guided by the leitmotif of the theory presented, namely, that quantization can be understood as an emergent phenomenon arising from a deeper stochastic process. Specifically, the permanent interaction between matter and the zero-point radiation field is shown, chapter by chapter, to give rise to quantum features of both, field and matter. An appendix to the chapter provides a concise introduction to the Probability interpretation!ensembleensemble Ensembleinterpretation ofProbability interpretation probability, a much extended Probabilities!extendednotion among physicists, but hardly discussed in the literature.

[1]  D. Bohm.  A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .

[2]  Dipankar Home,et al.  Conceptual Foundations Of Quantum Physics , 1997 .

[3]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[4]  James B. Hartle,et al.  Wave Function of the Universe , 1983 .

[5]  B. D'espagnat.  Conceptual Foundations Of Quantum Mechanics , 1971 .

[6]  Mario Bunge,et al.  Problems Concerning Intertheory Relations , 1970 .

[7]  Max Jammer,et al.  The philosophy of quantum mechanics : the interpretations of quantum mechanics in historical perspective , 1974 .

[8]  Armen E. Allahverdyan,et al.  Understanding quantum measurement from the solution of dynamical models , 2011, 1107.2138.

[9]  P. Wilcox,et al.  AIP Conference Proceedings , 2012 .

[10]  Alfred Landé,et al.  New Foundations of Quantum Mechanics , 1966 .

[11]  E. Specker,et al.  The Problem of Hidden Variables in Quantum Mechanics , 1967 .

[12]  L. Ballentine,et al.  A Survey of Hidden‐Variables Theories , 1974 .

[13]  Carlo Rovelli.  Quantum gravity , 2008, Scholarpedia.

[14]  N. Maxwell.  Instead of particles and fields: A micro realistic quantum “smearon” theory , 1982 .

[15]  John Archibald Wheeler,et al.  The “Past” and the “Delayed-Choice” Double-Slit Experiment , 1978 .

[16]  Peter Clark,et al.  Physics and Philosophy: Selected Essays. , 1978 .

[17]  V. Fock,et al.  Fundamentals of Quantum Mechanics , 1978 .

[18]  A. N. Kolmogorov,et al.  Foundations of the theory of probability , 1960 .

[19]  Vlatko Vedral,et al.  Decoding Reality: The Universe as Quantum Information , 2010 .

[20]  Steven Weinberg,et al.  Lectures on Quantum Mechanics , 2012 .

[21]  Č. Brukner,et al.  Quantum Theory and Beyond: Is Entanglement Special? , 2009, 0911.0695.

[22]  A. Einstein.  On the Method of Theoretical Physics , 1934, Philosophy of Science.

[23]  M. Redhead,et al.  Incompleteness, Nonlocality, and Realism: A Prolegomenon to thePhilosophy of Quantum Mechanics , 1989 .

[24]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[25]  R. Henry.  The mental Universe , 2005, Nature.

[26]  Antony Valentini,et al.  Inflationary Cosmology as a Probe of Primordial Quantum Mechanics , 2008, 0805.0163.

[27]  Leslie E Ballentine,et al.  The statistical interpretation of quantum mechanics , 1970 .

[28]  Edward Nelson.  Derivation of the Schrodinger equation from Newtonian mechanics , 1966 .

[29]  E. Wigner.  The Problem of Measurement , 1963 .

[30]  M. Born.  Zur Quantenmechanik der Stoßvorgänge , 1926 .

[31]  Arnold Lunn,et al.  The Revolution in Modern Science , 1930 .

[32]  Peter W. Milonni,et al.  The Quantum Vacuum: An Introduction to Quantum Electrodynamics , 1993 .

[33]  Racionalidad y realismo , 1985 .

[34]  C. Rovelli,et al.  Relational Quantum Mechanics , 2006 .

[35]  J. Keynes.  A Treatise on Probability. , 1923 .

[36]  J. Mehra.  The physicist's conception of nature , 1973 .

[37]  Robert B. Griffiths,et al.  Consistent histories and the interpretation of quantum mechanics , 1984 .

[38]  Ariel Caticha,et al.  Lectures on Probability, Entropy, and Statistical Physics , 2008, ArXiv.

[39]  J. Bell,et al.  The Theory of Local Beables , 1975 .

[40]  Andreas Blass,et al.  Negative probability , 1945, Mathematical Proceedings of the Cambridge Philosophical Society.

[41]  Nikos A. Tambakis,et al.  On the Empirical Law of Epistemology: Physics as an Artifact of Mathematics , 1995 .

[42]  J. Venn,et al.  . On the diagrammatic and mechanical representation of propositions and reasonings , 2022 .

[43]  Alain Aspect,et al.  Speakable and Unspeakable in Quantum Mechanics: Introduction to the hidden-variable question , 2004 .

[44]  Charis Anastopoulos.  On the selection of preferred consistent sets , 1997, quant-ph/9709051.

[45]  J. Neumann.  Mathematische grundlagen der Quantenmechanik , 1935 .

[46]  Chin.  A Modern Perspective , 2009 .

[47]  H. Brown,et al.  The Philosophy of vacuum , 1991 .

[48]  B. Dewitt,et al.  Resource letter IQM-1 on the interpretation of quantum mechanics , 1971 .

[49]  C. cohen-tannoudji,et al.  Vacuum fluctuations and radiation reaction : identification of their respective contributions , 1982 .

[50]  B G Sidharth,et al.  Law without Law , 2007, 0710.3900.

[51]  R. Leighton,et al.  The Feynman Lectures on Physics; Vol. I , 1965 .

[52]  David Wick.  The Infamous boundary : seven decades of heresy in quantum physics , 1995 .

[53]  H. Everett.  "Relative State" Formulation of Quantum Mechanics , 1957 .

[54]  F. Laloë,et al.  Do we really understand quantum mechanics? Strange correlations, paradoxes, and theorems , 2001, quant-ph/0209123.

[55]  E. Richard Cohen,et al.  Foundations of Quantum Theory , 1955 .

[56]  J. Neumann,et al.  The Logic of Quantum Mechanics , 1936 .

[57]  Emil Wolf,et al.  COHERENCE AND QUANTUM OPTICS , 1973 .

[58]  T. H. Boyer,et al.  Any classical description of nature requires classical electromagnetic zero-point radiation , 2011, 1107.3455.

[59]  J. Wheeler,et al.  Quantum theory and measurement , 1983 .

[60]  Patrick Suppes,et al.  Logic and probability in quantum mechanics , 1976 .

[61]  Andrei Khrennikov,et al.  Foundations of Probability and Physics , 2002 .

[62]  Louis de Broglie,et al.  La mécanique ondulatoire et la structure atomique de la matière et du rayonnement , 1927 .

[63]  Abner Shimony.  Search for a worldview which can accommodate our knowledge of microphysics , 1993 .

[64]  Luis de la Peña,et al.  The quantum dice : an introduction to stochastic electrodynamics , 1996 .

[65]  I. D. Ivanović.  On complex Bell’s inequality , 1978 .

[66]  Asher Peres,et al.  Quantum Theory Needs No ‘Interpretation’ , 2000 .

[67]  N. Kampen,et al.  Ten theorems about quantum mechanical measurements , 1988 .

[68]  L. Ballentine,et al.  Quantum mechanics , 1989 .

[69]  Anton Zeilinger,et al.  Quantum (Un)speakables: From Bell to Quantum Information , 2010 .

[70]  Peter W. Milonni,et al.  The Quantum Vacuum , 1993 .

[71]  On a heuristic point of view concerning the motion of matter: From random metric to Schrödinger equation , 2005, quant-ph/0510059.

[72]  M. Wolf,et al.  Chaos - The Interplay Between Stochastic and Deterministic Behaviour: Proceedings of the XXXIst Winter School of Theoretical Physics Held in Karpacz, ... February 1995 , 2013 .

[73]  P. Dirac.  Principles of Quantum Mechanics , 1982 .

[74]  A. Gleason.  Measures on the Closed Subspaces of a Hilbert Space , 1957 .

[75]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[76]  E. Santos.  Interpretation of the quantum formalism and Bell's theorem , 1991 .

[77]  Willis E. Lamb,et al.  An operational interpretation of nonrelativistic quantum mechanics , 1969 .

[78]  Patrick Suppes,et al.  When are Probabilistic Explanations Possible , 1981 .

[79]  H. Jeffreys,et al.  Theory of probability , 1896 .

[80]  M. Jammer,et al.  International Conference on Bell's theorem and the foundations of modern physics , 1991 .

[81]  Andrei Khrennikov,et al.  Contextual Approach to Quantum Formalism , 2009 .

[82]  Aage Petersen,et al.  The Philosophy of Niels Bohr , 1963 .

[83]  John R. Lucas,et al.  The concept of probability , 1970 .

[84]  Vlatko Vedral,et al.  Foundations and Interpretation of Quantum Mechanics , 2001 .

[85]  Donald Gillies,et al.  An Objective Theory of Probability , 1976 .

[86]  Roland Omnès.  The Interpretation of Quantum Mechanics , 1987 .

[87]  Richard N. Boyd,et al.  On the current status of the issue of scientific realism , 1983 .

[88]  E. Schrödinger.  Sur la théorie relativiste de l'électron et l'interprétation de la mécanique quantique , 1932 .

[89]  H. Stapp.  The Copenhagen Interpretation , 1972 .

[90]  J. Wheeler.  Information, physics, quantum: the search for links , 1999 .

[91]  Hans Halvorson,et al.  Deep beauty : understanding the quantum world through mathematical innovation , 2011 .

[92]  B. D'espagnat.  Veiled Reality: An Analysis Of Present-day Quantum Mechanical Concepts , 1995 .

[93]  A. M. Cetto,et al.  The quantum dice : an introduction to stochastic electrodynamics , 1995 .

[94]  Paul Adrien Maurice Dirac,et al.  Bakerian Lecture - The physical interpretation of quantum mechanics , 1942, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[95]  Albert Einstein,et al.  Born-Einstein letters , 1971 .

[96]  S. S. Wilks,et al.  Probability, statistics and truth , 1939 .

[97]  Jean-Pierre Vigier,et al.  A review of extended probabilities , 1986 .

[98]  Mario Bunge,et al.  Philosophy of Physics , 1972 .

[99]  Bas C. Van Fraassen,et al.  The Charybdis of realism: Epistemological implications of bell's inequality , 1982, Synthese.

[101]  D. Home,et al.  Ensemble interpretations of quantum mechanics. A modern perspective , 1992 .

[102]  L. Ballentine.  Quantum mechanics : a modern development , 1998 .

[103]  京都大学基礎物理学研究所,et al.  A Different Universe , 2005 .

[104]  Karl Svozil.  On Counterfactuals and Contextuality , 2004 .

[105]  K. Popper,et al.  Logik der Forschung , 1935 .

[106]  Gerard 't Hooft.  Determinism Beneath Quantum Mechanics , 2002 .

[107]  A. Shimony.  Metaphysical Problems in the Foundations of Quantum Mechanics , 1978 .

[108]  N. Bohr.  II - Can Quantum-Mechanical Description of Physical Reality be Considered Complete? , 1935 .

[109]  Guido Bacciagaluppi,et al.  Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference , 2009 .

[110]  M. Redhead.  Nonlocality and Peaceful Coexistence , 1983 .

[111]  W. Heisenberg,et al.  Physics and Philosophy , 1943, Nature.

[112]  W. D. Muynck.  Foundations of Quantum Mechanics, an Empiricist Approach , 2002 .

[113]  B. M. Hill,et al.  Theory of Probability , 1990 .

[114]  Mario Bunge,et al.  Survey of the Interpretations of Quantum Mechanics , 1956 .

[115]  B. D'espagnat,et al.  Nonseparability and the tentative descriptions of reality , 1984 .

[116]  R. Fürth.  Über einige Beziehungen zwischen klassischer Statistik und Quantenmechanik , 1933 .

[117]  A. Einstein.  Physik und realität , 1936 .

[118]  D. Sudarsky,et al.  On the quantum origin of the seeds of cosmic structure , 2005, gr-qc/0508100.

[119]  Niels Bohr,et al.  Atomic Theory and the Description of Nature , 1934 .

[120]  Louis Marchildon,et al.  Why Should We Interpret Quantum Mechanics? , 2004 .

[121]  Henry Margenau,et al.  Philosophical Problems concerning the Meaning of Measurement in Physics , 1958, Philosophy of Science.

[122]  The Unconscious Quantum: Metaphysics in Modern Physics and Cosmology , 1995 .

[123]  J. Cramer,et al.  The transactional interpretation of quantum mechanics , 1986 .

[124]  J. Bell.  On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[125]  Hans Reichenbach,et al.  The theory of probability , 1968 .

[126]  The quantum and the universe. , 1979 .

[127]  S. Popescu,et al.  Quantum nonlocality as an axiom , 1994 .

[128]  David Hestenes,et al.  The zitterbewegung interpretation of quantum mechanics , 1990 .

[129]  Gunter Ludwig,et al.  CHAPTER IV – The Physical Interpretation of Quantum Mechanics , 1968 .

[130]  Iñigo L. Egusquiza,et al.  Time in quantum mechanics , 2002 .

[131]  Henry P. Stapp,et al.  S-MATRIX INTERPRETATION OF QUANTUM THEORY. , 1971 .

[132]  W. Pauli,et al.  Die allgemeinen Prinzipien der Wellenmechanik , 1990 .

[133]  R. Feynman.  Simulating physics with computers , 1999 .

[134]  W. Heisenberg.  The Physical Principles of the Quantum Theory , 1930 .

[135]  A. Zeilinger,et al.  Quantum [Un]speakables , 2002 .

[136]  F. London,et al.  La théorie de l'observation en mécanique quantique , 1939 .

[137]  G. Auletta.  Foundations and Interpretation of Quantum Mechanics: In the Light of a Critical-Historical Analysis of the Problems and of a Synthesis of the Results , 2000 .

[138]  Frank C. Becker,et al.  The Herbert Spencer Lecture. , 1905 .