Remarks on Evans' paper #100 - Section 5.

G.W. Bruhn, Darmstadt University of Technology

16.01.2008

(Quotations from Evans' papers are displayed in black.)

With the introduction to his paper #100 [1.1]. Evans announces a review of major themes of his ECE theory. We continue reviewing paper #100 with its section 5 [1.5] finding a further fatal flaw of that ECE "theory".

The electromagnetic field tensor

We read on p.31 of Evans' paper 100 section 5 [1.5]:

. . . The tensor law for the homogeneous field equation has been shown {1-12} to be:

∂_μ F^{~ κμν} = 0 . (77)

For each κ index the structure of the matrix is:

[ 0 cB_x cB_y cB_z ]

[−cB_x 0 −E_z E_y ]
F^{~ μν} = = . . . (78)
[−cB_y E_z 0 −E_x ]

[−cB_z −E_y E_x 0 ]

Which is the meaning of x, y, z here? Cartesian coordinates in general spacetime???

The Gauss law of magnetism in ECE theory has been shown to be obtained from

κ = ν = 0 (79)

and so:

∂₁F^{~ 010} + ∂₂F^{~ 020} + ∂₃F^{~ 030} = 0 (80)

i.e.

Ñ · B = 0 (81)

with:

B = B_x i + B_y j + B_z k (82)

and

B_x = B⁰⁰¹, B_y = B⁰⁰², B_z = B⁰⁰³, (83)

Now it is clear: The author believes in having a Cartesian 3-D space Rł with Cartesian coordinates x,y,z and a constant vector basis i, j, k, available in general (locally Minkowskian) spacetime.

Therefore no further remark is necessary:

The author Evans has not understood the concept of a general spacetime manifold.

All what Evans has shown here is textbook folklore: That the equ. (77) leads to the usual Maxwell equations in Minkowski spacetime.

References

[1.1] M.W. Evans, A Review of Einstein-Cartan-Evans (ECE) Field Theory (Introduction of Paper #100),
http://www.atomicprecision.com/blog/2007/12/27/introduction-to-paper-100/wp-filez/a100thpaperintroduction.pdf .

[1.2] M.W. Evans, Geometrical Principles (Section 2 of Paper #100:
A Review of Einstein-Cartan-Evans (ECE) Field Theory,
http://www.atomicprecision.com/blog/wp-filez/a100thpapersection2.pdf .

[1.3] M.W. Evans, The Field (Section 3 of Paper #100:
A Review of Einstein-Cartan-Evans (ECE) Field Theory,
http://www.atomicprecision.com/blog/wp-filez/a100thpapersection3.pdf .

[1.4] M.W. Evans, Aharonov Bohm and Phase Effects in ECE Theory (Section 4 of Paper #100:
A Review of Einstein-Cartan-Evans (ECE) Field Theory,
http://www.atomicprecision.com/blog/wp-filez/a100thpapersection4.pdf .

[1.5] M.W. Evans, Tensor and Vector Laws of Classical Dynamics and Electrodynamics (Section 5 of Paper #100) ,
http://www.atomicprecision.com/blog/wp-filez/a100thpapersection5.pdf .

[1.6] M.W. Evans, Spin Connection Resonance (Section 6 of Paper #100) ,
http://www.atomicprecision.com/blog/wp-filez/a100thpapersection6.pdf .

[1a] M.W. Evans, Development of the Einstein Hilbert Field Equation . . .,
http://www.aias.us/documents/uft/a103rdpaper.pdf .

[1b] M.W. Evans, Proof of the Hodge Dual Relation,
http://www.atomicprecision.com/blog/wp-filez/a100thpapernotes16.pdf .

[1c] M.W. Evans, Some Proofs of the Lemma,
http://www.atomicprecision.com/blog/wp-filez/acheckpriortocoding5.pdf .

[1d] M.W. Evans, Geodesics and the Aharonov Bohm Effects in ECE Theory,
http://www.aias.us/documents/uft/a56thpaper.pdf .

[2] S.M. Carroll, Lecture Notes on General Relativity,
http://xxx.lanl.gov/PS_cache/gr-qc/pdf/9712/9712019v1.pdf, 1997.

[3] S.M. Carroll, Spacetime and Geometry,
http://xxx.lanl.gov/PS_cache/gr-qc/pdf/9712/9712019v1.pdf, 1997.

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

[5] G.W. Bruhn, Consequences of Evans' Torsion Hypothesis,
ECEcontradictions.html .

[6] G.W. Bruhn, Remarks on Evans' paper #100 - Section 2,
onMwesPaper100-2.html .

[7] M.R. Spiegel, Vector Analysis,
in Schaum's Outline Series, McGraw-Hill.

[8] G.W. Bruhn, Evans' "3-index Î-tensor" ,
Evans3indEtensor.html .

[9] G.W. Bruhn, Comments on Evans' Duality,
EvansDuality.html .

[10] G.W. Bruhn, F.W. Hehl, A. Jadczyk , Comments on ``Spin Connection Resonance
in Gravitational General Relativity'' , ACTA PHYSICA POLONICA B Vol. 39/1 (2008)
pdf . html

[11] G.W. Bruhn, Remarks on Evans/Eckardt’sWeb-Note on Coulomb Resonance,,
RemarkEvans61.html .