[2 offprints, including:] Unified field theory in six dimensions.
by PODOLANSKI, J.
London:: Proceedings of the Royal Society, 1950., 1950. 2 offprints. Original wrappers. Both signed by Abraham Pais. Very good. INVENTORY:  PODOLANSKI, J. Unified field theory in six dimensions. Offprint from: Proceedings of the Royal Society, A, vol. 201, pp. 234-260, 1950. Signed by Pais. Abstract: The geometry of the Dirac equation is actually six-dimensional. Taking this hint it is shown that a six-dimensional—classical—field theory avoids the difficulties with which the Kaluza-Klein theory has to contend. Moreover, the possibility is gained of making the field energy of a point source finite. A geometric requirement (structure axiom) decomposes the six-dimensional continuum. The space-time world appears as a subspace, immersed in the six-dimensional space. Each world point corresponds to a sheet of physically indistinguishable points. Potentials and gauge transformation can be interpreted geometrically. As a consequence of the embedding, two fields of inertial forces (fields of constraint) occur. The one behaves just as the Maxwell field; the other has negative energy and can cancel the singularities of the electromagnetic one. The theory can be made conformally invariant and then yields a relation between the mass and the charges (the sources of the constraining fields). The presentation given in this paper is provisional, as it gives infinite range also to the field of negative energy.  PODOLANSKI, J.; Armenteros, R. Analysis of V-Events. Offprint from: Philosophical Magazine, ser. 7, vol. 45, pp. 13-30, January 1954. Signed by Pais. Abstract: From the observed momenta and angles of decays in flight, variables are constructed which are better suited for the analysis than the measured quantities themselves. These variables are 1/P, the reciprocal of the primary momentum, ?, a combination of the longitudinal momenta of the secondaries, and either pt, the transverse momentum, or the quantity ?=2pt/P. The regularities in the distribution of the new variables, to be expected from a two-body decay, are discussed. The decay scheme may be derived by comparison with the experimental distributions. (Inventory #: S13348)
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