Einstein's Unified Field Theory Research Articles

Gravitation and Electrodynamics

In this paper Einstein's unified field theory is modified, and some of the physical implications of the new theory are examined. It entails: (1) a restriction of 4-current distribution, (2) an electromagnetic field consisting of short- and long-range parts, (3) a finite self-energy for the electron, (4) a classical description of pair production and annihilation as discussed by Feynman in his electrodynamics, (5) the Lorentz-force law for a charged particle moving in an external electromagnetic field, (6) the bending of light grazing the surface of the sun---the same as given by the general theory of relativity.

Einstein's Unified Field Theory

In this paper it is shown that, under certain assumptions about the metric of the space-time, energy momentum tensor of the total field, when Einstein's field equations are satisfied, vanishes identically. A new version of the unified field theory is suggested, and it is indicated briefly that a genuine energy momentum tensor exists which is conserved and has a structure similar to that of general relativity. From the form of the energy momentum tensor and from the field equations of the proposed theory it is concluded that the law of force for a charged mass particle moving in a gravitational and electromagnetic field would have the expected form.

Some Results in Einstein's Unified Field Theory

Some Results in Einstein's Unified Field Theory

LXI.On the interpretation of Einstein's unified field theory

(1933). LXI. On the interpretation of Einstein's unified field theory. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 16, No. 106, pp. 707-719.

CVI.On Levi-Civita's modification of Einstein's Unified Field Theory

CVI.<i>On Levi-Civita's modification of Einstein's Unified Field Theory</i>

On Einstein's unified field theory

In a recent paper Prof. A. Einstein has proposed equations determining a field containing both gravitational and electromagnetic phenomena, the underlying geometry being of a type which admits the possibility of giving any arbitrary vector in the field a displacement which conserves parallelism at a distance. The purpose of the present paper is to try and obtain light on the new theory by applying it to a special case in which an exact solution of the usual gravitational and electromagnetic equations of the relatively theory is known. In II we obtain this solution, that is to say, we determine a set of values of the g μv and ϕ μ which exactly satisfies the recognised relatively equations. It is found that this solution corresponds to an electrostatic field uniform in direction and nearly constant but with a slight exponential change of strength as we go along the field.

Societies and Academies

Societies and Academies