Sachs unified field electrodynamics

M. W. Evans, Precise statement on the importance and implications of 0(3) electrodynamics as a special subset of Sachs unified field theory, (in press). 

In Sachs great generalization of a combined general relativity and electrodynamics, we are also speaking of spacetime curvature functions, and a unified field theory. See also Sachs chapter on symmetry in electrodynamics from special to general relativity, macro to quantum domains in this series of volumes on modern nonlinear optics (Part 1, 11th chapter). 

Indeed, classical U(l) electrodynamics is modeled as a field theory on a flat spacetime. In the more rigorous and general Sachs-Evans unified field approach, this is falsified. In that more fundamental model, EM waves and fields can propagate only through curved spacetime. 

To consider magnetic flux density components of IAIV, Q must have the units of weber and R, the scalar curvature, must have units of inverse square meters. In the flat spacetime limit, R 0, so it is clear that the non-Abelian part of the field tensor, Eq. (6), vanishes in special relativity. The complete field tensor F vanishes [1] in flat spacetime because the curvature tensor vanishes. These considerations refute the Maxwell-Heaviside theory, which is developed in flat spacetime, and show that 0(3) electrodynamics is a theory of conformally curved spacetime. Most generally, the Sachs theory is a closed field theory that, in principle, unifies all four fields gravitational, electromagnetic, weak, and strong. 

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