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.
Similar content being viewed by others
References
M. Muraskin,Ann. Phys. 59, 27 (1970).
M. Muraskin and T. Clark,Ann. Phys. 59, 19 (1970).
M. Muraskin,JMP 12, 28 (1971).
M. Muraskin,Intern. J. Theor. Phys. 4, 49 (1971).
M. Muraskin,JMP,13, 863 (1972).
M. Muraskin,Found. Phys. 2, 181 (1972).
M. Muraskin,Intern. J. Theor. Phys. 6, 37 (1972).
M. Muraskin and B. Ring,Intern. J. Theor. Phys. 6, 105 (1972).
M. Muraskin, to be published.
J. L. Anderson,Principles of Relativity Physics (Academic Press, 1967), Chapter 5.
A. Trautmann,Lectures in General Relativity, Vol. 1, Brandeis Lectures 1964 (Prentice Hall).
D. Anderson and G. Derrick,JMP 11, 1336 (1972).
M. Born and L. Infeld,Proc. Roy. Soc. A144, 425 (1934).
G. Rosen,JMP 7, 2066 (1966).
G. Rosen,JMP 13, 595 (1972).
A. Rañada and M. Soler,JMP 13, 671 (1972).
G. Duff,Partial Differential Equations (Toronto Press, 1956), p. 4.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Muraskin, M., Ring, B. Particle behavior in aesthetic field theory. Found Phys 4, 395–405 (1974). https://doi.org/10.1007/BF00708544
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00708544