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

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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. Rainich, G. Y.: Trans. Amer. Math. Soc.27, 106 (1925).

    Article  Google Scholar 

  2. Misner, C. W., and Wheeler, J. A.: Ann. Phys.2, 525 (1957).

    Article  Google Scholar 

  3. Kerner, R.: Ann. Inst. Henri Poincaré,9, 143 (1968).

    Google Scholar 

  4. Riemann, B.: Über die Hypothesen, welche der Geometrie zugrunde liegen, Habilitationsschrift, Abh. der Königl. Gesellsch. der Wiss. Bd.13, Göttingen 1867.

  5. Lichnerowicz, A.: Théorie globale des connexions et des groupes d'holonomie, Edizioni Cremonese, Roma 1962.

  6. Choquet-Bruhat, Y.: Géometrie différentielle et systèmes extérieurs, Dunod, Paris 1968.

  7. Drechsler, W. and Mayer, M. E.: Fiber Bundle Techniques in Gauge Theories, Lecture Notes in Physics, Vol. 67, Springer Verlag 1977.

  8. Aharonov, Y. and Bohm, D.: Phys. Rev.115, 485 (1959).

    Article  Google Scholar 

  9. Wu, T. T. and Yang, C. N.: Phys. Rev.D12, 3843 (1975).

    Google Scholar 

  10. Ehresmann, Ch.: Colloque de Topologie (espaces fibrés), Bruxelles 1950, p. 29.

  11. Wigner, E. P.: Proc. Nat. Acad. Sc.36, 184 (1950).

    Article  Google Scholar 

  12. Gilmore, R.: Lie Groups, Lie Algebras and Some of Their Applications, J. Wiley, New York 1974.

    Google Scholar 

  13. Drechsler, W.: Group Contraction in a Fiber Bundle with Cartan Connexion, Journ. Math. Phys.18, 1358 (1977).

    Article  Google Scholar 

  14. Drechsler, W.: Fortschr. der Physik,23, 607 (1975).

    Article  Google Scholar 

  15. Drechsler, W.: Currents in a Theory of Strong Interactions Based on a Fiber Bundle Geometry, Found of Phys.7, 629 (1977).

    Article  Google Scholar 

  16. Yang, C. N., and Mills, R. L.: Phys. Rev.96, 191 (1954).

    Article  Google Scholar 

  17. Weyl, H.: Z. Physik,56, 330 (1929).

    Article  Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik —, Werner-Heisenberg-Institut für Physik, Föhringer Ring 6, D-8000, München 40

    Wolfgang Drechsler

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  1. Wolfgang Drechsler
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Vortrag gehalten an der Universität München und an der Temple University, Philadelphia.

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Drechsler, W. Geometrie und Materie — Ist Einsteins Vision übertragbar auf die Elementarteilchenphysik?. Zeitschrift für Allgemeine Wissenschaftstheorie 15, 1–21 (1984). https://doi.org/10.1007/BF01800932

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