The Atomicity of Electricity as a Quantum Theory Law
Abstract
IN the fivedimensional theory of the connexion between electromagnetism and gravitation first proposed by Th. Kaluza (Sitzungsberichte d. Berl. Akad., 1921, S. 766; see also O. Klein, Zs. für Phys., 37, 875, 1926), the equations of motion of an electrified particle may be shown to be the equations of geodetics belonging to the following line element: where x^{1}, x^{2}, x^{3}, x^{4} are the coordinates of ordinary space time with the line element g_{ik}dx^{i}dx^{k}, while x° is a fifth coordinate, and the φ_{i} are the four covariant components of the electromagnetic potential vector. If the constant β is given the value κ being the Einstein gravitational constant, the 14 field equations of the Einstein theory may, moreover, be simply expressed by means of the curvature tensor belonging to this line element.
 Publication:

Nature
 Pub Date:
 October 1926
 DOI:
 10.1038/118516a0
 Bibcode:
 1926Natur.118..516K