Good to hear from Dr. Douglas Lindstrom whose comments are inductive and interesting as ever. The second Bianchi identity with torsion (JCE and BCE identities) depend on the Cartan identity and not on the first Bianchi identity. I know that all chemists would throw up immediately at UFT313 unless they have put in ten thousand laps of training and many years of hard study as we have done at AIAS. So to put it in vector format is a good idea, and I can start on that straight away, building on papers such as UFT255. In fact UFT313 is not all that terrible, it is linear algebra with a few rules of tensor algebra. Finding the right way to the second Bianchi identity from the Jacobi identity took me twenty years, because no textbook ever gave the details needed. It is highly non trivial, and Ricci must have inferred his identity before the second Bianchi identity was inferred. Levi-Civita mentioned that it was Ricci who actually inferred the second Bianchi identity in 1880. The Ricci identity so called is not in fact an identity, it is simply the rule for covariant differentiation of a rank two tensor. This rule is needed to go from the first to the second Bianchi identities. So there are all kinds of misnaming and obscurantism that had to be cleared away before UFT313 took shape. It is useful when used with ECE theory based on the Cartan identity (UFT303). The Cartan identity as you know is the first Bianchi identity with torsion, which also works its way in to the Ricci identity. Torsion was of course unknown both to Ricci and Bianchi. So in summary the misnamed first and second Bianchi identities of the standard model are not identities at all. All mathematicians actually agree on this, but almost no physicists know it, and certainly no chemists or engineers, unless they are fans of ECE theory, then they all know it by now. The correct and exact identities are the Cartan identity and the JCE and BCE identities of UFT313. The First Evans identity is also an exact identity. It was discovered in UFT109 and a very remarkable result of UFT313 is that it comes out of the Jacobi identity. Another very remarkable result of UFT313 is that the Cartan identity also comes out of the Jacobi identity. The latter is the most fundamental identity of all group theory, obeyed by all group generators. It is also true in vector algebra.
Sent: 30/04/2015 14:43:01 GMT Daylight Time
Subj: Re: Engineering Model and Flow Charts
Myron, Horst I tend to agree with the comments made by Horst. I don’t know any engineers who think in 4d that alone non-Euclidean geometries. (Some would stop the sentence after think-I can say this because my ph.d is in engineering and I have taught quite a few …..). Enough tom foolery..
Perhaps two documents are required, one summarizing the current state of the ECE model, and the second being the engineering model.
I will go through paper 313 tomorrow and see if I can understand it. We badly need a nonlinear substitute for the second Bianchi equation that is not dependent on the first Bianchi equation. This paper may contain that. The standard second Bianchi basically reduces to d^R=0. This is a classical linear field supporting periodic waves, etc., and gauging for the spin connection. This doesn’t seem correct for a nonlinear theory.
By itself, the above state is the electromagnetic vacuum (zero torsion) but non-zero tetrads or spins. It would be good if this vacuum state supported the nonlinear traveling waves that Horst and I wrote about a couple of years ago.
Good work both of you.
On Thursday, April 30, 2015, <EMyrone> wrote:
I agree with these ideas, after prominently displaying The Engineering Model as UFT303 it became much more popular. This is also true of “The Principles of ECE” (UFT281 to UFT287), The Eckardt Lindstrom Papers (UFT292 to UFT299), CEFE (UFT301), “The Evans Equations” (UFT302) and “Collected Scientometrics Volume One” (UFT307). Updating the equation flow charts is a very good idea. The Evans / Morris papers are the most popular collection at present (UFT278 – 280, 289 – 291, 300, 304, 306 – 310, 312 in English and Spanish). The use of any relevant keywords on Google shows that all 311 items to date of the UFT Section will be in the Google front pages, often in number one position on the first page. UFT311 is impotrant and popular because it proves the existence of the spin connection experimentally, and of course UFT88 is a classic which has just been updated to UFT313.
Sent: 30/04/2015 07:48:56 GMT Daylight Time
Subj: Re: Vector Formulation of the New Identities
I would prefer considering only the “macroscopic” equations for the engineering model. In principle they are useable for engineering, but the document “engineering model” is of course much too high level to be directly applicable to engineering. In so for the name may be not the best.
What about letting the engineering model document as is (updating it with actual equations in vector form) and re-arranging the flow charts we had made years ago. This is the right place for all original ECE equations and identities.
Sean MacLachlan hat am 29. April 2015 um 19:53 geschrieben:
Also I think we should rename to simply ECE Model.
It’s best to capture all the main identities, field and wave equations etc.
This should be true whether it applies to devices we can engineer or cosmology or atoms.
It’s important that we have one reference document that we regularly update that summarizes the entire model we are building from galaxies to atomic processes and everything in between.
On Apr 29, 2015, at 10:24 AM, EMyrone@aol.com wrote:
This is a very good idea. I would say that the vector enters in to ECE theory through the definition of the tetrad, V sup a = q sup sub mu V sup mu. I think that UFT313 is a particularly important milestone so many thanks for the checking.
Sent: 29/04/2015 12:07:33 GMT Daylight Time
Subj: Re: FOR POSTING: Four New Fundamental Identities For Engineering Model
It would be interesting to derive vector forms of these identities. I see a certain problem with the Ricci Evans identity because it requires the application to a vector V. What is V in the engineering model? e-m fields and potentials have at least two indices.
EMyrone@aol.com hat am 29. April 2015 um 11:36 geschrieben:
1) The First Evans Identity.
2) The Jacobi Cartan Evans Identity.
3) The Bianchi Cartan Evans Identity.
4) The Ricci Evans Identity.
and can be applied to electromagnetism, gravitation or a combination.