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Space-Times and State Spaces

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Modern Physics and its Philosophy

Part of the book series: Synthese Library ((SYLI,volume 43))

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Abstract

An exhaustive treatment of this theme is impossible in this discussion. I shall therefore confine myself to some remarks of philosophical relevance.

Translated from ‘Struktur der Zustandsraume und der Raum-Zeit’, Wiss. Z. Humboldt- Univ. Berlin, Math.-Nat. R. 16 (1967) 987–8.

Discussion remarks made in the Section Physics/Chemistry of the Symposium ‘Struktur und Prozess in den Naturwissenschaften und der Technik’ organized by the Section Philosophische Probleme der modernen Naturwissenschaften of the Institut für Philosophie of the Humboldt University at Berlin and held on November 21–22, 1966.

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Notes

  1. H. Reichenbach, ‘Stetige Wahrscheinlichkeitsfolgen’, Z. Phys. 53 (1929) 274. [Another mathematical theory based on the same idea and successfully applied is that of MARKOFF chains.]

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  2. H. Steudel, ‘Symmetrieeigenschaften und Erhaltungssätze’, Diss. (1966) Humboldt University Berlin (preprint). [The mathematical theory involved in writing the classical law of motion in this form is the theory of LIE series.]

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  3. M. Strauss, ‘Grundlagen der modernen Physik’ in Mikrokosmos-Makrokosmos (ed. by H. Ley and R. Löther), Berlin 1967 [Chapter XIX of this volume]; ‘Quantentheorie und Philosophie’ in Naturwissenschaft und Philosophie (ed. by G. Harig), Berlin 1960 [Chapter XX of this volume.]

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  4. E. Schrödinger, ‘Die gegenwärtige Situation in der Quanten-mechanik’, Naturwiss. 23 (1935) pp. 807, 823, 844.

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  5. A. Einstein, B. Podolsky, and N. Rosen, ‘Can Quantum Mechanical Description of Physical Reality be Considered Complete?’, Phys. Rev. 48 (1935) 777.

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  6. M. Strauss, ‘The Lorentz Group: Axiomatics — Generalizations — Alternatives’, Wiss. Z. Friedrich-Schiller- Univ. Jena. Math.-Nat. R. 15 (1966) 109 [Chapter XIV of this volume].

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  7. J. A. Wheeler, ‘The Universe in the Light of General Relativity’ in Lectures in Theoretical Physics, Vol. V, (ed. by W. E. Brittin, B. W. Downs, and J. Downs), New York - London - Sydney 1963.

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© 1972 D. Reidel Publishing Company. Dordrecht, Holland

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Strauss, M. (1972). Space-Times and State Spaces. In: Modern Physics and its Philosophy. Synthese Library, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2893-6_11

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  • DOI: https://doi.org/10.1007/978-94-010-2893-6_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2895-0

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