Kaluza-klein description of the electrical field due to an infinitely long, straight line charge

Physics

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Scientific paper

It is shown that according to the Kaluza-Klein theory the electromagnetic scalar potential is equal to the angular velocity of the rotational inertial dragging effect in five-dimensional space-time. The gravitational vacuum field equations for a five-dimensional space-time outside a rotating cylindrical shell are solved. The angular velocity of the inertial dragging field outside the shell is determined in terms of the angular momentum of the shell by means of Israel's geometric description of surface layers in general relativity. Projecting the solution into four-dimensional space-time, the inertial dragging field due to the rotation of the shell is interpreted as an electrical field. We conjecture that according to the Kaluza-Klein theory all electromagnetic phenomena are four-dimensional manifestations of the five-dimensional inertial dragging effect.

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