Gravitation and Electrodynamics

Abstract

DIFFUSIONCONSTANT AND MOBILITY 1369 obtained : 3 £>/M=0.0268±0.0013ev, r=303±l°K, ^r/^=0.0262±0.0001 ev. 3 The probable error in the values of T and kT/q were not obtained using the method of least squares which would give a value much less than this. Generous allowance is made for systematic uncertainty in recording ambient temperature.It would appear that these results verify the relation D/fx -kT/q. Although there have been other experimental verifications of this relationship using colloidal particles and ions, this is the first direct experimental proof of the validity of this equation for electrons and holes of which we are aware.The authors would like to express their appreciation to W. C. Westphal for assisting with apparatus, to J. R. Haynes for advice and encouragement, and to the Bell Telephone Laboratories for their hospitality.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.

On the Nonsymmetric Purely Affine Gravity

“…The first case was assumed by Papapetrou [75,85,89,90,91] and later by Moffat [71,72]. The second case was assumed by Kurşunoglu and Hély after reading a physical meaning from the contracted Bianchi identities [92,93,94,95,96,97,98,99,100,101]. The fourth case was assumed by Lichnerowicz, who proved, by availing only of the field equations, that g (µν) enters the eikonal equation as the contravariant metric, both geometrically and physically [102].…”

A modification of Einstein–Schrödinger theory that contains Einstein–Maxwell–Yang–Mills theory

“…We assume this special case because it gives us Einstein-Maxwell-Yang-Mills theory, and because it greatly simplifies the theory. With the assumption (44) we also havẽ R νµ = tr(R νµ )I/d, and the term ([A α ,Γ (18). It is important to emphasize that any solution of the restricted theory (44) will also be a solution of the more general theory.…”

“…The additional cosmological constant Λ z in our Lagrangian density (5,18) could have several contributions. If there was a contribution from zero-point fluctuations it would be approximately [14,15,16,17] …”

“…To investigate this let us calculate the field equations with the Lagrangian density (18,19) and the special case…”

“…A possible origin of our Λ z is from zero-point fluctuations [14,15,16,17] and Higgs field vacuum energy, although we just take Λ z as given, without regard to its origin. The theory in [13] is related to one in [18], but it is roughly the electromagnetic dual of that theory, it uses a different nonsymmetric Ricci tensor with special transformation properties, it allows coupling to additional fields (sources), and it allows Λ = 0.…”