Advertisement

Foundations of Physics

, Volume 4, Issue 3, pp 395–405 | Cite as

Particle behavior in aesthetic field theory

  • Murray Muraskin
  • Beatrice Ring
Article

Abstract

We discuss the structure of a particle system obtained in “aesthetic” field theory and study the evolution of this system in time. We find the particle system to have more structure than particles found by other authors investigating particlelike behavior in nonlinear field theories. Our particle system has a maximum center in proximity to a minimum center. Thus, we can interpret our system as being constructed of two bodies. We find that the maximum center and the minimum center move in straight lines, to computer accuracy. Thus, we have not found any nontrivial force laws. This suggests that the situation with respect to basic principles be kept fluid. So far as we know, we are the first investigators to study the trajectories of a two-body system which arises as a consequence of nonlinear field equations.

Keywords

Field Theory Basic Principle Field Equation Particle System Computer Accuracy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. Muraskin,Ann. Phys. 59, 27 (1970).Google Scholar
  2. 2.
    M. Muraskin and T. Clark,Ann. Phys. 59, 19 (1970).Google Scholar
  3. 3.
    M. Muraskin,JMP 12, 28 (1971).Google Scholar
  4. 4.
    M. Muraskin,Intern. J. Theor. Phys. 4, 49 (1971).Google Scholar
  5. 5.
    M. Muraskin,JMP,13, 863 (1972).Google Scholar
  6. 6.
    M. Muraskin,Found. Phys. 2, 181 (1972).Google Scholar
  7. 7.
    M. Muraskin,Intern. J. Theor. Phys. 6, 37 (1972).Google Scholar
  8. 8.
    M. Muraskin and B. Ring,Intern. J. Theor. Phys. 6, 105 (1972).Google Scholar
  9. 9.
    M. Muraskin, to be published.Google Scholar
  10. 10.
    J. L. Anderson,Principles of Relativity Physics (Academic Press, 1967), Chapter 5.Google Scholar
  11. 11.
    A. Trautmann,Lectures in General Relativity, Vol. 1, Brandeis Lectures 1964 (Prentice Hall).Google Scholar
  12. 12.
    D. Anderson and G. Derrick,JMP 11, 1336 (1972).Google Scholar
  13. 13.
    M. Born and L. Infeld,Proc. Roy. Soc. A144, 425 (1934).Google Scholar
  14. 14.
    G. Rosen,JMP 7, 2066 (1966).Google Scholar
  15. 15.
    G. Rosen,JMP 13, 595 (1972).Google Scholar
  16. 16.
    A. Rañada and M. Soler,JMP 13, 671 (1972).Google Scholar
  17. 17.
    G. Duff,Partial Differential Equations (Toronto Press, 1956), p. 4.Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • Murray Muraskin
    • 1
  • Beatrice Ring
    • 1
  1. 1.Department of PhysicsUniversity of North DakotaGrand Forks

Personalised recommendations