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Derivation of MH equations from transformation laws


 

This is an excellent and insightful paper by Horst Eckardt, and it can be posted on www.aias.us. There is a mathematical similarity between the wirbel or whirlpool equations by Eckardt and the Hodge dual of the Coulomb and Ampere Maxwell laws just given in note 115(7). For example from Eckardt's eq. (13) compared with the results of note 115(7):

 
               b = - v bold del dot H / c
 
                 = curl P - (1 / c squared) partial M / partial t = J tilde
 

The Lorentz force law 

 
                             F = e(E + v x B)
 

has its Hodge dual in ECE theory, and the Lorentz force law is a limit of the general coordinate transform of torsion:

 
                           T' = gamma1 gamma2 T
 

in shorthand notation. In the limit of Minkowski sapcetime being approached, gamma1 gamma2 goes to the tensor product of two Lorentz transform matrices as describe din many texts, e.g. Landau and Lifshitz and Jackson.  Then there will be the Hodge dual of this general coordinate transform.

 

I think it is important to see how this paper by Horst Eckardt fits in to the ECE framework, and now all these electrodynamical considerations can be extended to gravitation in the ECE framework.

 

MWE

 

Posted: 2008-06-22 


 

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