Abstract
An elementary particle is described as a spherically symmetric solution of the Proca equations and the Einstein general relativity equations. The mass is found to be of the order of the Planck mass. If the motion of its center of mass is determined by the Dirac equations, it has a spin 1/2.This work is parallel to an earlier one involving the Klein- Gordon equation.
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References
N. Rosen,Found. Phys. 24, 1563 (1994).
S. S. Schweber, H. A. Bethe, and F. de Hoffmann,Mesons and Fields, Vol. 1 (Row Peterson, Evanston, Illinois, 1955), p. 107.
A. Proca,J. Phys. 7, 347 (1936).
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Rosen, N. A classical Proca particle. Found Phys 24, 1689–1695 (1994). https://doi.org/10.1007/BF02054790
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DOI: https://doi.org/10.1007/BF02054790