Abstract
It is shown that special and general relativity can be derived as low-energy approximations from the nonrelativistic quantum chaos of a vortex sponge. If the average distance of separation between the filaments of the vortex sponge is chosen to be ∼10−30cm, a value suggested by the grand unified scale of elementary particle theories, the vortex core radius becomes about equal to the Planck length. The model permits a simple explanation of the phenomenon of charge, and in conjunction with a hypothesis by A. D. Sakharov, can explain Dirac spinors.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Gupta, S. N. (1954).Physical Review,96, 1683.
Helmholtz, v. H. (1858).Crelles Journal,55, 25.
Hönl, H., and Papapetrou, A. (1939).Zeitschrift für Physik,112, 512.
Landau, L. D., and Lifshitz, E. M. (1970).Theory of Elasticity, Pergamon Press, New York, p. 2.
Landau, L. D., and Lifshitz, E. M. (1975).The Classical Theory of Fields, Pergamon Press, New York.
Prokhovnik, S. J. (1967).The Logic of Special Relativity, Cambridge University Press, Cambridge.
Sakharov, A. D. (1968).Soviet Physics Doklady,12, 1040.
Schlayer, K. (1928).Zeitschrift für Angewandte Mathematik und Mechanik,8, 352.
Schrödinger, E. (1930).Berliner Berichte,1930, 415.
Schrödinger, E. (1931).Berliner Berichte,1931, 418.
Thomson, W. (Lord Kelvin) (1887).Philosophical Magazine,24, 342.
Wilhelm, H. E. (1988).Zeitschrift für Naturforschung,43a, 859.
Winterberg, F. (1988).Zeitschrift für Naturforschung,43a, 1131.
Winterberg, F. (1990a).Zeitschrift für Naturforschung,45a, 1102.
Winterberg, F. (1990b).Zeitschrift für Naturforschung,46a, 677.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Winterberg, F. Low-energy consequences of high-energy quantum chaos. Int J Theor Phys 31, 1375–1387 (1992). https://doi.org/10.1007/BF00673971
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00673971