Relativity and Cosmology


A Remark on an Ansatz by M.W. Evans and the so-Called Einstein-Cartan-Evans Unified Field Theory

Authors: Friedrich W. Hehl

M.W. Evans tried to relate the electromagnetic field strength to the torsion of a Riemann-Cartan spacetime. We show that this ansatz is untenable for at least two reasons: (i) Geometry: Torsion is related to the (external) translation group and cannot be linked to an internal group, like the U(1) group of electrodynamics. (ii) Electrodynamics: The electromagnetic field strength as a 2-form carries 6 independent components, whereas Evans' electromagnetic construct Fα is a vector-valued 2-form with 24 independent components. This doesn't match. One of these reasons is already enough to disprove the ansatz of Evans.

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Submission history

[v1] 17 Jul 2008

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