A metrical theory and its relation to the charge and masses of the electron and proton

Abstract
The works of Kaluza and of O. Klein have shown that it is possible to give to electromagnetic forces a geometrical interpretation similar to that of gravitational forces in the theory of relativity. It is necessary to assume the existence of a five-dimensional continuum defined by d σ 2 = γ μv dx μ dx v , (1) where the summation extends over μ v } = 1, 2, 3, 4, 5. The coefficients, γ μv have the values γ mn = g mn + γ 55 α 2 ϕ m ϕ n , γ 5 m = αγ 55 ϕ m , } (2) where α and γ 55 are constants, the g ’s the Riemannian coefficients and the ϕ ’s the components of the electromagnetic potential.

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