Progress of Theoretical Physics
Vol. 28 No. 4 (1962) pp. 731-750
URL : http://ptp.ipap.jp/link?PTP/28/731/
DOI : 10.1143/PTP.28.731

Elastic Ether Theory of Elementary Particles. II

Hideo Fukutome

(Received June 5, 1962)

A theory of relativistic elastic continuum with intrinsic angular momentum is developed. The elastic medium with intrinsic angular momentum is called “the gyro-elastic medium”. The Lagrangian of the gyro-elastic medium depends on the third order Lagrange Tensor called “the fluidity tensor” as well as the second order strain tensor. It is shown that Dirac's ether is a special case of the gyro-elastic media, so that the electromagnetic field may be interpreted in terms of the ether model of elementary particles which was proposed previously. A spinor formulation of the rotational flow of the gyro-elastic medium is given. It is shown that Heisenberg's “Urmaterie” field may be interpreted as a purely rotational gyro-elastic continuum.

References:

1. H. Fukutome, Prog. Theor. Phys. 24 (1960), 877[IPAP].
2. P. A. M. Dirac, Nature 24 (1951), 168; ibid. 24 (1951), 906.
3. P. A. M. Dirac, Proc. Roy. Soc. (London), A 209 (1951), 291; ibid. 212 (1952), 330.
4. T. Takabayasi, Prog. Theor. Phys. Suppl. No. 4 (1957), 1[IPAP]; Compt. rend. 246 (1958), 64.
5. H. P. Dürr and W. Heisenberg, Z. Naturforsch. 16a (1961), 726.
6. T. Nakano, Prog. Theor. Phys. 15 (1956), 333[IPAP].
   T. Takabayasi, Nuovo Cim. 13 (1959), 532; Prog. Theor. Phys. 23 (1960), 915[IPAP].
   D. Bohm, P. Hillion, T. Takabayasi and J. P. Vigier, Prog. Theor. Phys. 23 (1960), 496[IPAP].
7. loc. cit. 3).
8. H. B. G. Casimir, Rotation of a Rigid Body in Quantum Mechanics (J. B. Walter's Uitgevers-Maatschappij, 1931).
9. E. M. Corson, Introduction to Tensors, Spinors, and Relativistic Wave Equations.
10. loc. cit. 3).
11. M. Goldhaber, Phys. Rev. 101 (1956), 433[APS].
12. loc. cit. 4).
13. loc. cit. 9).
14. loc. cit. 5).

1. Progress of Theoretical Physics Vol. 33 No. 5 (1965) pp. 907-931 :

   Rigid Sphere Model of Elementary Particles and the Electromagnetic Field

   Osamu Hara and Tetsuo Goto

2. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 272-283 :

   Quantum Field Theory of Complex Mass

   Hiroshi Yamamoto

3. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 357-374 :

   Theory of Relativistic Top and Electromagnetic Interaction

   Takehiko Takabayasi

4. Progress of Theoretical Physics Supplement No.105 (1991) pp. 270-286 :

   25. Nonlocal Theories and Related Topics

   Takehiko Takabayasi

Quick Search:

Copyright (c) Progress of Theoretical Physics 1962 All rights reserved.
ptp@yukawa.kyoto-u.ac.jp