Geometrie und Materie — Ist Einsteins Vision übertragbar auf die Elementarteilchenphysik?

  • Wolfgang Drechsler
Aufsätze
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Summary

The philosophical implications associated with the choice of a particular geometry required for the formulation of a dynamics at subnuclear distances are discussed. A dualism between geometry and matter — the former identified with a fiber bundle of Cartan type raised over space-time, the latter represented by a generalized quantum mechanical wave function — is presented as a possible framework for the dynamics of strongly interacting particles at distances of 10−13 cm.

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Literaturhinweise

  1. [1]
    Rainich, G. Y.: Trans. Amer. Math. Soc.27, 106 (1925).CrossRefGoogle Scholar
  2. [2]
    Misner, C. W., and Wheeler, J. A.: Ann. Phys.2, 525 (1957).CrossRefGoogle Scholar
  3. [3]
    Kerner, R.: Ann. Inst. Henri Poincaré,9, 143 (1968).Google Scholar
  4. [4]
    Riemann, B.: Über die Hypothesen, welche der Geometrie zugrunde liegen, Habilitationsschrift, Abh. der Königl. Gesellsch. der Wiss. Bd.13, Göttingen 1867.Google Scholar
  5. [5]
    Lichnerowicz, A.: Théorie globale des connexions et des groupes d'holonomie, Edizioni Cremonese, Roma 1962.Google Scholar
  6. [6]
    Choquet-Bruhat, Y.: Géometrie différentielle et systèmes extérieurs, Dunod, Paris 1968.Google Scholar
  7. [7]
    Drechsler, W. and Mayer, M. E.: Fiber Bundle Techniques in Gauge Theories, Lecture Notes in Physics, Vol. 67, Springer Verlag 1977.Google Scholar
  8. [8]
    Aharonov, Y. and Bohm, D.: Phys. Rev.115, 485 (1959).CrossRefGoogle Scholar
  9. [9]
    Wu, T. T. and Yang, C. N.: Phys. Rev.D12, 3843 (1975).Google Scholar
  10. [10]
    Ehresmann, Ch.: Colloque de Topologie (espaces fibrés), Bruxelles 1950, p. 29.Google Scholar
  11. [11]
    Wigner, E. P.: Proc. Nat. Acad. Sc.36, 184 (1950).CrossRefGoogle Scholar
  12. [12]
    Gilmore, R.: Lie Groups, Lie Algebras and Some of Their Applications, J. Wiley, New York 1974.Google Scholar
  13. [13]
    Drechsler, W.: Group Contraction in a Fiber Bundle with Cartan Connexion, Journ. Math. Phys.18, 1358 (1977).CrossRefGoogle Scholar
  14. [14]
    Drechsler, W.: Fortschr. der Physik,23, 607 (1975).CrossRefGoogle Scholar
  15. [15]
    Drechsler, W.: Currents in a Theory of Strong Interactions Based on a Fiber Bundle Geometry, Found of Phys.7, 629 (1977).CrossRefGoogle Scholar
  16. [16]
    Yang, C. N., and Mills, R. L.: Phys. Rev.96, 191 (1954).CrossRefGoogle Scholar
  17. [17]
    Weyl, H.: Z. Physik,56, 330 (1929).CrossRefGoogle Scholar

Copyright information

© Franz Steiner Verlag Wiesbaden GmbH 1984

Authors and Affiliations

  • Wolfgang Drechsler
    • 1
  1. 1.Max-Planck-Institut für Physik und Astrophysik —, Werner-Heisenberg-Institut für PhysikMünchen 40

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