An assessment of Evans' unified field theory I

Details An assessment of Evans' unified field theory I An assessment of Evans' unified field theory I

2007-03-10

arxiv.org/abs/physics/0703116v2

Found.Phys.38:7-37,2008

Physics

Classical Physics

39 pages of latex, modified because of referee report, mistakes and typos removed, partly reformulated, taken care of M.W.Evan

Scientific paper

10.1007/s10701-007-9190-0

Evans developed a classical unified field theory of gravitation and electromagnetism on the background of a spacetime obeying a Riemann-Cartan geometry. This geometry can be characterized by an orthonormal coframe theta and a (metric compatible) Lorentz connection Gamma. These two potentials yield the field strengths torsion T and curvature R. Evans tried to infuse electromagnetic properties into this geometrical framework by putting the coframe theta to be proportional to four extended electromagnetic potentials A; these are assumed to encompass the conventional Maxwellian potential in a suitable limit. The viable Einstein-Cartan(-Sciama-Kibble) theory of gravity was adopted by Evans to describe the gravitational sector of his theory. Including also the results of an accompanying paper by Obukhov and the author, we show that Evans' ansatz for electromagnetism is untenable beyond repair both from a geometrical as well as from a physical point of view. As a consequence, his unified theory is obsolete.

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