Nov 13, 2008
This is simple and follows directly from the tetrad postulate and Leibniz Theorem from the definition of the symmetric metric as
g sub mu nu = q sup a sub mu q sup b sub nu eta sub a b
where the q’s are tetrads and where eta is the Minkowski metric diag (-1 , 1, 1, 1).
The tetrad postulate is the rather obscure name given to the very fundamental property
that the complete vector field is independent of the way in which it is expressed in
terms of components and basis elements. So this completes a thorough check of the basics
of the ECE engineering model and spin connection resonance. Obviously it is of key
importance to check the basics. This is precisely what the now obsolete standard physics
failed to do.
Evans' assumption Dμ ηab = 0,
or see my 2005 web note: Evans Proving the Metric Compatibility? .
Proof of Metric Compatibility #2
Check Evans' assumption Dμ ηab = 0, or see my 2005 web note: Evans Proving the Metric Compatibility? .