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Einstein, Infeld, and Hoffmann Problem of Motion in Five Space
Phys. Rev. 125, 2136 – Published 15 March, 1962
DOI: https://doi.org/10.1103/PhysRev.125.2136
Abstract
The method of Einstein, Infeld, and Hoffmann is generalized to five space. It is shown that the equations of motion that emerge in the Newtonian approximation are partial differential equations and that certain entities appearing may be interpreted as mass and charge. In addition to the equations of motion there appear two additional linear partial differential equations for each particle involving a third parameter as well as the mass and charge. Even for an isolated "particle" or systems of "particles" far removed from one another partial differential equations of motion persist. Application to an electron indicates that the three coordinates satisfy an equation in the space characterized by the additional dimension and time which implies the propagation of a wave with the velocity of the order of times the velocity of light in this space.
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