Last supplement on Sep 27, 2006

In the past the author Myron W. Evans felt it being unnecessary to inform his readers about known bugs in his book.

Now under pressure by 'president' Widlar in his own AIAS Forum some changes seem to appear.

A good example of service to readers: **Sean M. Carroll**

http://preposterousuniverse.com/spacetimeandgeometry/errata.html

A bad example: Myron W. Evans on his Blog:

*"Yes a list of typo’s is a good idea, in fact I can only find
three or four. The troll is a silly ———-."*

but one day later (Fri, 22 Sep 2006) **on demand**:

1) Eq. (1.6), replace q by g.

2) Appendix A of chapter 1 of volume 1: Minus signs before each of the four entries of the second and fourth columns of eq. (A.4).

3) Eq. (21.20), minus sign before m_{e}, left hand side.

4) Eqs. (21.22) to (21.25), remove all occurrences of / on the left
hand sides.

MWE in his Forum generously:
* "Don't feel that any question is too
simple. ECE must be tested with Baconian principles"*

However, he answers justified questions by *useless* hints how
to read his book. One would expect: from the *beginning*. Not so in
case of Myron's GCUFT:

http://ws2.acosi.com/newBlog/wordpress/?p=480

*"I would advise beginning volume one with appendix C, then
go on to Appendix B. Appendix C defines the complex circular absis and
Appendix B gives much more detail than available in most textbooks on how
to reduce the tensorial representation of MH to the vectorial representation.
For more advanced students proceed to the four appendices of chapter 17,
where the Riemannian equivalents of the Cartan structure equations and
Bianchi identities are derived through the tetrad postulate. In Appendix
J, some basic mathematical proofs are collected for convenience (e.g. tetrad
postulate and Lemma). The following people are now known to be biased and
hostile, so are banned as referees of ECE theory: A. Lakhtakia, G. Bruhn,
W. Rodrigues, and B. Flower. Any e mailing carried out by these is just
personal bile. They have no credibility as scholars."*

I think such advices cannot be taken seriously.

**To the List of ERRATA as Myron's real service to his
readers:**

Typos are of minor interest only since having no further consequences. I know a lot of wrong equation labels, much more than four.

The errors in eqs. (A.4) are more serious, since most of the layman readers will not recognize the errors and hence are mislead.

- The right hand sides of eqs. (2.8) and (2.9) cannot both equate ds˛.

- Wrong metric definition: The matrix (2.40) is

The same holds for the 4×4 matrix (2.42). A metric matrix must be invertible.

- (2.47): ω

- The = in the second line of (2.145) is wrong, as can be seen by writing out the suppressed indices and η, cf. (2.73).

- Wrong summation indices: Multiplication of (2.175) by q

- After (2.177): "When μ = ν, these equations become ... " is wrong: μ and ν cannot be equated here since

ν is a summation index in (2.177).

- Wrong Hodge dual in 4-D after (3.15):

"In differential geometry the element du

- Wrong equ. (3.15): Hodge dual only defined for

- Wrong metric definition: The matrix (3.16) is

- Eq. (3.29) contains

- Eq. (9.9) is questionable:

q^{c}_{μν} =
q^{a}_{μ}Ùq^{b}_{ν}.

See also (D.6):
Evans assumes that the tetrad index c is somehow defined by the tetrad indices
a,b, but never tells which c = c(a,b) to be used. I guess that's a relict from 3-D
Euclidean space, where c could be defined by means of Hodge duality.
In 4-D we have **six** 2-forms q^{a}Ùq^{b}:
q^{0}Ùq^{1},
q^{0}Ùq^{2},
q^{0}Ùq^{3},
q^{1}Ùq^{2},
q^{1}Ùq^{3},
q^{2}Ùq^{1}
where q^{a} denotes the 1-form q^{a}_{μ} dx^{μ}.
However, we have only **four** 2-forms q^{c (A)} :=
q^{c (A)}_{μν} dx^{μ}Ùdx^{ν}
(c = 0, 1, 2, 3). Hence eq. (D.6) cannot be true.

- "Evans Convention" in (14.20), (15.80), (B.4) and (B.25): ... =

- Eq. (14.21) contains a lot of

(Br1) R = g

Evans' hint: "Multiply either side of Eq. (14.21) by q

q_{b}^{ν}η^{ab}q_{ν}^{d}η_{cd}
= δ_{b}^{d}η^{ab}η_{cd}
= η^{ab}η_{cb} = δ_{c}^{a}

and thus

(Br2)
R = q_{c}^{μ} R_{μ}^{c} .

As one can see from eq. (14.22) Evans aim is to resolve this equation for
R_{μ}^{c}. However, since eq. (Br2) is **one** linear equation for
4×4 = **16** quantities R_{μ}^{c} it cannot be uniquely resolved
for R_{μ}^{c}. Thus:

- The decomposition

q^{a}_{μ} =
q^{a}_{μ}^{(S)} + q^{a}_{μ}^{(A)}
(14.63)

as the sum of symmetric and antisymmetric component square matrices
is physically meaningless **because it does not transform covariantly.**
The same holds for the other decompositions of Chap. 14.3 which are physically meaningless as well.
The symmetric part q^{a}_{μ}^{(S)} appears e.g. on p. 457.

If Evans doesn't know about these errors then he should check his book
*accurately*
and stop insulting his critics.

Better ** he** detects

A math oriented theory like GCUFT is very

Otherwise the theory becomes unreliable and useless.

An example of Evans' reaction on being drawn to errors of his: On April
07, 2006 Myron wrote to me:
*"Well Gerhard you always say that any calculation is wrong. So if
you say Schneeberger is wrong you are simply behaving in the same old way.
This is very boring. You have no credibility and so I request you not to
send me any further absurd e mail, or any e mail. ... If you go on like
this you will certainly get a haircut in the Tower. ...*

Following several lines of insults and concluding with
*... So why don't you do something useful and resign? British Civil
List scientist."*

To summarize: I've done a lot to show that Evans' GCUFT deserves a *complete*
and *careful* revision. It is Myron's job to show that his theory
is not FUBAR by removing all known errors and thinking precisely about
the consequences of necessary changes.

The above list and also my comments

http://www2.mathematik.tu-darmstadt.de/~bruhn/MWEsErrors.html

http://www2.mathematik.tu-darmstadt.de/~bruhn/MWEsFurtherErrors.html

http://www2.mathematik.tu-darmstadt.de/~bruhn/ECE-CentralError.html

http://www2.mathematik.tu-darmstadt.de/~bruhn/EvansRebuttal.html

http://www2.mathematik.tu-darmstadt.de/~bruhn/EvansRebuttal230806.html

are not at all complete, only hints. There remains a lot of work to
do - *for Myron*.