Quantum theory as a universal physical theory

The problem of setting up quantum theory as a universal physical theory is investigated. It is shown that the existing formalism, in either the conventional or the Everett interpretation, must be supplemented by an additional structure, the “interpretation basis.” This is a preferred ordered orthonormal basis in the space of states. Quantum measurement theory is developed as a tool for determining the interpretation basis. The augmented quantum theory is discussed.

[1]  R. Morrow,et al.  Foundations of Quantum Mechanics , 1968 .

[2]  D. I. Blokhintsev.  Grundlagen der Quantenmechanik , 1936, Nature.

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

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

[5]  Bryce S. DeWitt,et al.  Quantum mechanics and reality , 1970 .

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

[7]  L. Lugiato.  Theory of open systems I , 1975 .

[8]  M. Gell-Mann,et al.  Physics Today. , 1966, Applied optics.

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

[10]  I. Prigogine,et al.  The Macroscopic Level of Quantum Mechanics , 1972, Nature.

[11]  Kommission hos Ejnar Munksgaard.  Det Kongelige Danske Videnskabernes Selskab : Matematisk-fysiske Meddelelser , 1959 .

[12]  G. Shilov,et al.  CHAPTER II – FUNDAMENTAL AND GENERALIZED FUNCTIONS , 1968 .

[13]  I Prigogine,et al.  Lyapounov variable: Entropy and measurement in quantum mechanics. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

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

[15]  J. Wheeler.  Genesis and Observership , 1977 .

[16]  J. V. Neumann,et al.  Fundamentos matemáticos de la mecánica cuántica , 1949 .

[17]  E. Schmidt.  Zur Theorie der linearen und nichtlinearen Integralgleichungen , 1907 .

[18]  J. Wheeler.  Assessment of Everett's 'Relative State' Formulation of Quantum Theory , 1957 .

[19]  Michael J. Moravcsik,et al.  Information‐program recommendations , 1970 .

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

[21]  Matthew Prior,et al.  Letter from “J” , 1863, The Dental register.

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

[23]  Niels Henrik David Bohr,et al.  Proceedings of the Cambridge Philosophical Society , 1843 .

[24]  Tobias J. Hagge,et al.  Physics , 1929, Nature.

[25]  H. Schöpf.  Battelle Rencontres ‐ 1967 Lectures in Mathematics and Physics (Ed. by C. M. DeWitt and J. A. Wheeler). XVII + 557 S. m. Fig. New York/Amsterdam 1968. W. A. Benjamin, Inc. , 1970 .

[26]  A. Daneri,et al.  QUANTUM THEORY OF MEASUREMENT AND ERGODICITY CONDITIONS , 1962 .