Abstract
A classification of particles in two classes is proposed in the framework of a model of space-time previously introduced. One of them is constituted by particles being represented by sets of sets of preparticles. The other kind is constituted by particles represented by cuts or discontinuities in a space-time. We prove here that particles of the first and second kind follow the Bose-Einstein and Fermi-Dirac statistics, respectively.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Basri, S. A. (1966).A Deductive Theory of Space and Time. North-Holland, Amsterdam.
Bunge, M., and García-Máynez, A. (1976).Inter. J. Theor. Phys.,15, 961.
Borneas, M. (1976).Inter. J. Theor. Phys.,15, 773.
Borneas, M. (1980).Analele Universitatii Timisoara,18, 57.
Borneas, M. (1981).Model of a Space-Time Theory (preprint, Universitatea dim Timisoara, U.T.F.T. 10/81).
Feynman, R. P. (1982).Inter. J. Theor. Phys.,21, 467.
Finkelstein, D. (1969).Phys. Rev.,184, 1261.
Finkelstein, D. (1972a).Phys. Rev. D5, 320.
Finkelstein, D. (1972b).Phys. Rev. D5, 2922.
Finkelstein, D. (1974).Phys. Rev. D9, 2219.
Finkelstein, D., Frye, G. and Susskind, L. (1974).Phys. Rev. D9, 2231.
Finkelstein, D. (1982).Inter. J. Theor. Phys.,21, 489.
Fraenkel, A. A. (1961).Abstract Set Theory. North-Holland, Amsterdam.
Fraenkel, A. A., and Bar-Hillel, Y. (1958).Foundations of Set Theory. North-Holland, Amsterdam.
García-Sucre, M. (1975).Inter. J. Theor. Phys.,12, 25.
García-Sucre, M. (1978a).Inter. J. Theor. Phys.,17, 163.
García-Sucre, M. (1978b).Proceedings of the First Section of the Interdisciplinary Seminars of Tachyons, Monopoles and Related Topics, E. Recami, ed., pp. 235–246. North-Holland, Amsterdam.
García-Sucre, M. (1979).Inter. J. Theor. Phys.,18, 725.
García-Sucre, M. (1981).Scientific Philosophy Today, J. Agassi and R. S. Cohen, eds., pp. 45–69. Reidel, Dordrecht.
Penrose, R. (1967).J. Math. Phys.,8, 345.
Penrose, R. (1968).Inter. J. Theor. Phys.,1, 61.
Penrose, R. (1971). Angular momentum: An approach to combinatorial space-time, inQuantum Theory and Beyond, T. Bastin, ed., pp. 151–180. Cambridge University Press, Cambridge.
Penrose, R. (1975). InQuantum Gravity, C. J. Isham, R. Penrose, and D. W. Sciama, eds., pp. 268–407. Clarendon Press, Oxford.
Reif, F. (1965).Fundamentals of Statistical and Thermal Physics, Chapter 9. McGraw-Hill, New York.
Sachs, M. (1972).Inter. J. Theor. Phys.,5, 161.
Sachs, M. (1980).Found. Phys.,10, 921.
Sachs, M. (1981).Found. Phys.,11, 329.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
García-Sucre, M. Quantum statistics in a simple model of space-time. Int J Theor Phys 24, 441–455 (1985). https://doi.org/10.1007/BF00669905
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00669905