Concepts and Principles in Fundamental Physics

The aim of this introductory chapter is to outline the main concepts of this study, and to consider the nature of principle thinking in theoretical physics, most especially in quantum physics. After a brief introduction given in Sect. 1.1, Sect. 1.2 first defines the concept of concept, the main vehicle of thinking in theoretical physics. Then, it considers other key concepts of fundamental physics: theory, model, reality and realism, causality, randomness, probability and statistics, and locality. The deeper aspects of these concepts will be addressed throughout this study. The outline offered in this chapter is designed for introductory purposes and for avoiding misunderstandings concerning these concepts as defined by this study (they may be defined otherwise). Sec. 1.3 is devoted to a discussion of the concept of principle and the nature of principle thinking in theoretical physics, taking as its point of departure Einstein’s distinction between principle and constructive theories.

[1]  Gerard 't Hooft.  Determinism in Free Bosons , 2001 .

[2]  Otfried Gühne,et al.  Fifty years of Bell’s theorem , 2014 .

[3]  Suzanne Gieser,et al.  The Innermost Kernel: Depth Psychology and Quantum Physics. Wolfgang Pauli's Dialogue with C.G. Jung , 2004 .

[4]  E. Schrödinger.  Discussion of Probability Relations between Separated Systems , 1935, Mathematical Proceedings of the Cambridge Philosophical Society.

[5]  Albert Einstein,et al.  Strahlungs-Emission und ­Absorption nach der Quantentheorie , 1916 .

[6]  W. Pauli,et al.  Über den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren , 1925 .

[7]  P. Heelan.  Heisenberg and radical theoretic change , 1975 .

[8]  M. Born.  Natural Philosophy of Cause and Chance , 1949 .

[9]  B. V. Fraassen.  Scientific Representation: Paradoxes of Perspective , 2008 .

[10]  E. Wigner.  The Unreasonable Effectiveness of Mathematics in the Natural Sciences (reprint) , 1960 .

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

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

[13]  James T. Cushing,et al.  Philosophical Consequences of Quantum Theory Reflections on Bell's Theorem , 1989 .

[14]  A. Bohr,et al.  The Principle Underlying Quantum Mechanics , 2004 .

[15]  D. Gillies.  Philosophical Theories of Probability , 2000 .

[16]  Christopher Pincock,et al.  Mathematics and Scientific Representation , 2012 .

[17]  L. Wittgenstein.  Tractatus Logico-Philosophicus , 2021, Nordic Wittgenstein Review.

[18]  A. Einstein.  Zur Elektrodynamik bewegter Körper , 1905 .

[19]  Martin Heidegger,et al.  What is a thing , 1967 .

[20]  A Matter of Principle: The Principles of Quantum Theory, Dirac’s Equation, and Quantum Information , 2015, 1503.02229.

[21]  I. Newton,et al.  The Principia : Mathematical Principles of Natural Philosophy , 2018 .

[22]  P. Galison.  Refections on Image and Logic: A Material Culture of Microphysics , 1999, Perspectives on Science.

[23]  G. Luna.  The Kochen-Specker Theorem , 2007 .

[24]  Arkady Plotnitsky,et al.  On the Reasonable and Unreasonable Effectiveness of Mathematics in Classical and Quantum Physics , 2011 .

[25]  J. Bub.  Quantum Mechanics as a Principle Theory , 1999, quant-ph/9910096.

[26]  Albert Einstein,et al.  Zum gegenwärtigen Stand des Strahlungsproblems , 1909 .

[27]  N. phil.,et al.  I. On the constitution of atoms and molecules , 2009 .

[28]  J. Gray.  Plato's Ghost: The Modernist Transformation of Mathematics , 2008 .

[29]  J. Bell,et al.  Speakable and Unspeakable in Quantum Mechanics: Preface to the first edition , 2004 .

[30]  A. Einstein.  Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt [AdP 17, 132 (1905)] , 2005, Annalen der Physik.

[31]  Bose.  Plancks Gesetz und Lichtquantenhypothese , 1924 .

[32]  W. Pauli,et al.  Writings on Physics and Philosophy , 2010 .

[33]  W. Heisenberg,et al.  Encounters with Einstein: And Other Essays on People, Places, and Particles , 1989 .

[34]  Albert Einstein,et al.  Physics and reality , 1936 .

[35]  R. E. Latham,et al.  On the Nature of the Universe , 2008 .

[36]  B. Coecke.  Quantum picturalism , 2009, 0908.1787.

[37]  A. Khrennikov.  Born's rule from measurements of classical signals by threshold detectors which are properly calibrated , 2011, 1105.4269.

[38]  Andrei Khrennikov,et al.  Reality Without Realism: On the Ontological and Epistemological Architecture of Quantum Mechanics , 2015 .

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

[40]  B. D. Finetti,et al.  Philosophical Lectures on Probability , 2008 .

[41]  G. D’Ariano,et al.  Derivation of the Dirac Equation from Principles of Information Processing , 2013, 1306.1934.

[42]  N. Cartwright.  The dappled world : a study of the boundaries of science , 1999 .

[43]  Niels Bohr,et al.  Causality and Complementarity , 1937, Philosophy of Science.

[44]  Arkady Plotnitsky,et al.  Are quantum-mechanical-like models possible, or necessary, outside quantum physics? , 2014 .

[45]  Graham D. Burchell,et al.  What Is Philosophy , 1996 .

[46]  A. Plotnitsky.  "To be. To be. What does it mean to be?": On quantum-like literary models , 2012 .

[47]  Thomson and Tait's Natural Philosophy , 1879, Science.

[48]  N. David Mermin,et al.  Boojums All The Way Through , 1990 .

[49]  W. Heisenberg.  Physics and Beyond: Encounters and Conversations , 1971 .

[50]  N. Bohr.  The Quantum Postulate and the Recent Development of Atomic Theory , 1928, Nature.

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

[52]  Niels Bohr,et al.  Discussion with Einstein on Epistemological Problems in Atomic Physics , 1996 .

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

[54]  Erwin Schrödinger.  The Interpretation of Quantum Mechanics: Dublin Seminars (1949-1955) and Other Unpublished Essays , 1995 .

[55]  Roman Frigg,et al.  Models and fiction , 2009, Synthese.

[56]  Jagdish Mehra,et al.  The Historical Development of Quantum Theory , 1982 .

[57]  A. Einstein.  Zur Quantentheorie der Strahlung , 1916 .

[58]  F. Wilczek.  In search of symmetry lost , 2005, Nature.

[59]  Albert Einstein,et al.  Über die Entwicklung unserer Anschauungen über das Wesen und die Konstitution der Strahlung , 1969 .

[60]  A. Zeilinger.  A Foundational Principle for Quantum Mechanics , 1999, Synthese Library.

[61]  E. Schrödinger.  Zur Einsteinschen Gastheorie , 1926 .

[62]  Albert Einstein,et al.  Zur Theorie der Lichterzeugung und Lichtabsorption , 1906 .

[63]  A. Einstein.  Quantentheorie des einatomigen idealen Gases , 2006 .

[64]  N. Cartwright.  How the laws of physics lie , 1984 .

[65]  Aristotle.  The Complete Works Of Aristotle , 1954 .

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

[67]  M. Jacobs.  The structure of the metastable precipitates formed during ageing of an Al-Mg-Si alloy , 1972 .

[68]  D. Stevenson.  Planetary science: Mission to Earth's core — a modest proposal , 2003, Nature.

[69]  L. Smolin,et al.  The singular universe and the reality of time : a proposal in natural philosophy , 2014 .

[70]  W. Schultz,et al.  Quantentheorie der Strahlung , 1969 .

[71]  C. Isham,et al.  Spacetime and the Philosophical Challenge of Quantum Gravity , 2001 .

[72]  S. Hartmann,et al.  Models in Science , 2006 .

[73]  A. Khrennikov,et al.  Quantum Social Science , 2013 .