Hertz’s Viewpoint on Quantum Theory

In the nineteenth century (in the process of transition from mechanics to the field theory), the German school of theoretical physics confronted problems similar to the basic problems in the foundations of quantum mechanics (QM). Hertz tried to resolve such problem through analysis of the notion of a scientific theory and interrelation of theory and experiment. This analysis led him to the Bild (image) conception of theory (which was later essentially developed, but also modified by Boltzmann). In this paper, we claim that to resolve the basic foundational problems of QM, one has to use the Bild conception and reject the observational viewpoint on physical theory. As an example of a Bild theory underlying QM (treated as an observational theory), we consider prequantum classical statistical field theory (PCSFT): theory of random subquantum fields.

[1]  Andrei Khrennikov A Mathematician's Viewpoint to Bell's theorem: In Memory of Walter Philipp. In: Foundations of probability and physics-- 4 , 2007 .

[2]  Ludwig Boltzmann,et al.  On the Development of the Methods of Theoretical Physics in Recent Times , 1974 .

[3]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

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

[5]  J. Neumann Mathematical Foundations of Quantum Mechanics , 1955 .

[6]  Andrei Khrennikov,et al.  Bohr against Bell: complementarity versus nonlocality , 2017 .

[7]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure , 2010 .

[8]  Arthur I. Miller Book-Review - Imagery in Scientific thought - Creating 20TH-CENTURY Physics , 1984 .

[9]  Sergey V. Polyakov,et al.  Quantum Theory: Reconsideration of Foundations-4 , 2007 .

[10]  Andrei Khrennikov,et al.  Quantum epistemology from subquantum ontology: quantum mechanics from theory of classical random fields , 2016, 1605.05907.

[11]  Andrei Khrennikov,et al.  The Present Situation in Quantum Theory and its Merging with General Relativity , 2017, 1704.04679.

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

[13]  Harald Atmanspacher,et al.  Epistemic and Ontic Quantum Realities , 2003 .

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

[15]  Heinrich Hertz,et al.  The Principles of Mechanics Presented in a New Form , 1956 .

[16]  Andrei Khrennikov Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type properly calibrated detectors , 2011 .

[17]  D. A. Edwards The mathematical foundations of quantum mechanics , 1979, Synthese.

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

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

[20]  Antony Valentini,et al.  Beyond the Quantum , 2009, 1001.2758.

[21]  Arkady Plotnitsky,et al.  Reading Bohr: Physics and Philosophy , 2006 .

[22]  Louis de Broglie,et al.  The current interpretation of wave mechanics : a critical study , 1964 .

[23]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure: From Psychology to Finance , 2010 .

[24]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .

[25]  Arkady Plotnitsky,et al.  Epistemology and Probability: Bohr, Heisenberg, Schrödinger, and the Nature of Quantum-Theoretical Thinking , 2009 .

[26]  A. Einstein,et al.  The Evolution of Physics: The Growth of Ideas from the Early Concepts to Relativity and Quanta , 1938 .

[27]  Ludwig Boltzmann Über die Frage nach der objektiven Existenz der Vorgänge in der unbelebten Natur , 1979 .

[28]  William Carbonaro,et al.  After the Bell , 2010 .

[29]  Arkady Plotnitsky The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson , 2016 .

[30]  Andrei Khrennikov,et al.  Towards Experiments to Test Violation of the Original Bell Inequality , 2018, Entropy.

[31]  Andrei Khrennikov,et al.  To quantum averages through asymptotic expansion of classical averages on infinite-dimensional space , 2007 .

[32]  A. Khrennikov,et al.  Quantum mechanics as the quadratic Taylor approximation of classical mechanics: The finite-dimensional case , 2005 .

[33]  H. Stapp Mind, matter, and quantum mechanics , 1982 .