Journal of Optimization Theory and Applications

, Volume 41, Issue 1, pp 261–273 | Cite as

Generalized curve approach to elementary particles

  • L. C. Young
  • P. Nowosad
Contributed Papers


The theory developed in Ref. 1 is applied in a simplified form to a relativistic one-particle universe, and boundary symmetry conditions are imposed. The existence, for the particle, of a series of resonance states and a series of gauge states is derived. For the proton and the electron, a selection of such states accounts for the elementary particles observed to date.

Key Words

Generalized curves wave algebras relativity group representations elementary particles resonance states gauge states dislocation line 


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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • L. C. Young
    • 1
    • 2
  • P. Nowosad
    • 3
  1. 1.the University of WisconsinMadison
  2. 2.the Mathematics Research CenterMadison
  3. 3.IMPA, Instituto de Matématica Pura e AplicadaRio de JaneiroBrazil

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