In the Maxwell Heaviside Theory the homogeneous equation is given by

d Ù F = 0
(1)

and the inhomogeneous equation by

d Ù F^{~} = μ_{o} J
(2)

in differential form notation.

Agreed so far.

These are first translated into tensor notation as follows. Eq.(1) is

∂_{ρ} F_{μν} +
∂_{μ} F_{νρ} +
∂_{ν} F_{ρμ} = 0 .
(3)

and this is the same as

**∂ _{μ} F^{~ μν} = 0**
(4)

where the tilde denotes Hodge dual

F

Q. E. D.

These considerations are *incorrect* for several reasons.
The correct version of equ.(3) is

∂_{[ρ} F_{μν]} +
C_{[μρ}^{σ} F_{ν]σ} = 0

where the additional term
C_{[μρ}^{σ} F_{ν]σ}
is caused by the anholonomicity of the coframe θ^{σ} (α=0,1,2,3)
[1, p.146 eq.(B.4.31)]. The anholonomicity is required for the orthonormality [2, p.88, eq.(3.114)] of the
frame

g(e_{α},e_{β}) = η_{αβ}

which cannot be attained for *holonomic* coframes
θ^{α} = dx^{α}.
In other words: Evans' eq. (3) is valid only in the special case of orthonormal
Cartesian coordinates x^{α} (α=0,1,2,3).

This can be affirmed by reading Evans' papernote #100(4) , eq. (4), where he explicitly assures that he is dealing with the Minkowskian case

g_{μν} = g^{μν} = diag[1, −1, −1, −1]

merely, i.e. with *flat* spacetime.

In curved spacetime, however, the Î-tensor is variable [2, p.52, eq.(2.43)]. Hence the Leibniz rule would yield additional terms in the eqs. (7-10).

In addition, the factors ½ in the eqs.(7-9) are wrong which is, of course, of minor importance.

Analogous objections hold for the eqs. (11-12). The validity of the subsequent eqs. (13-16) was therefore shown only for the Minkowskian case where the equations are well-known.

[1] F.W. Hehl and Y.N. Obukhov, *Foundations of Classical Electrodynamics*,
Birkhäuser 2003

[2] S.M. Carroll, *Lecture Notes on General Relativity*,

http://xxx.lanl.gov/PS_cache/gr-qc/pdf/9712/9712019v1.pdf, 1997.

(27.12.2007)
**Remarks on Evans' Web Note #103
**

(19.12.2007)
**Myron now completely confused
**

(14.12.2007)
**Evans' Central Claim in his Paper #100
**

(10.12.2007)
**How Dr. Evans refutes the whole EH Theory
**