Solution of the General Problem

Thanks again, it will probably be possible to adapt a procedure similar to your note of this morning. However, the main problem has already been solved, that of developing magnetostatics with conservation of antisymmetry.

To: EMyrone@aol.com
Sent: 28/08/2017 10:06:09 GMT Daylight Time
Subj: Re: Fwd: Discussion of 386(5): Numerical Solution to the problem

Eqs. (1) and (2) are six equations with six unknowns but we found that eq.(2) is not of rank 3 in general. So we have to be cautious with the solution procedure.
I will do some graphics the next days and try to solve the more complex magnetic current loop.

Horst

Am 28.08.2017 um 09:58 schrieb EMyrone:

Discussion of 386(5): Numerical Solution to the problem

This looks like a very useful method and an important result. The spin connections have been found for the far field (dipole) approximation of the circular current loop, a well known problem of magnetostatics. It would be very interesting to graph this spin connection. I used this simplifying idea because it was first used in Note 381(3) for the static magnetic field. It would be very interesting to apply this method to Eqs. (25) onwards, the complete vector potential for the circular current loop in various approximations. The spin connections describe the structure of spacetime, aether or vacuum as you know, and of course this is missing completely from the standard model. The final stage of UFT386 would be to apply this mathematical method to the most general expression:

B = curl A – omega x A (1)

where

omega x A = curl alpha (2)

Eqs. (1) and (2) must be solved simultaneously. The vector potential A is a standard vector potential such as the dipole vector potential. So Eqs. (1) and (2) are six equations in six unknowns, omega sub X, omega sub Y, omega sub Z, alpha sub X, alpha sub Y and alpha sub Z. The equation del dot B = 0 is true automatically and this is the key advantage of the method. I included Note 386(8) to provide a review of the historic result of UFT131, which completely refutes standard physics in many ways, and which introduced conservation of antisymmetry. This is what I mean by testing the integrity of the standard modellers with Prize applications and funding applications. At this point in time they have been completely refuted but refuse to admit it. I cannot recall a situation like this in the history of physics. As can be seen, conservation of antisymmetry provides a great deal of new information, and there have been no objections to UFT131 in nearly a decade.

To: EMyrone
Sent: 28/08/2017 00:20:54 GMT Daylight Time
Subj: Re: 386(5): Solution to the problem

The main idea is: If the potential A leads to antisymm. eqs. of rank < 3, then parts of the simplifying approach (1) should be used in addition to the antisymm. eqs. so that an equation system of rank 3 results. Then the procedure can executed as described in the note.
For the special A of eq.(24)
A =

solving eqs. (8,9,11) simultaneously gives:
omega =

giving the right XY symmetry. Then follows

curl A = – omega x A

and

del dot (curl A) = del dot (omega x A) = 0.

I assume that B is a dipole field then:
B =

Horst

Am 26.08.2017 um 13:57 schrieb EMyrone:

This solution emerges from the assumption (1), a special case of the last note. This assumption is solved simultaneously with the antisymmetrry law (6) to (8) to give the three spin connection components uniquely, Eqs. (18) to (20). The well known current in a circular loop is used as an illustration. The algebra can be worked out with computer algebra and graphed as usual. The exact solution is Eq. (26) in terms of the complete elliptic integrals K and E with argument (27). The translation from spherical to Cartesian is given in Eqs. (32) and (33). An approximate solution is given in Eqs. (34) to (36), and the dipole solution far from the current loop is given in Eqs. (40) to (42). In each case antisymmetry is conserved and the spin connections can be computed and graphed. In this case the algebra can get complicated but that is no problem. This general method can also be used for electrostatics and probably also for electrodynamics.

Discussion of 386(5): Numerical Solution to the problem

Discussion of 386(5): Numerical Solution to the problem

This looks like a very useful method and an important result. The spin connections have been found for the far field (dipole) approximation of the circular current loop, a well known problem of magnetostatics. It would be very interesting to graph this spin connection. I used this simplifying idea because it was first used in Note 381(3) for the static magnetic field. It would be very interesting to apply this method to Eqs. (25) onwards, the complete vector potential for the circular current loop in various approximations. The spin connections describe the structure of spacetime, aether or vacuum as you know, and of course this is missing completely from the standard model. The final stage of UFT386 would be to apply this mathematical method to the most general expression:

B = curl A – omega x A (1)

where

omega x A = curl alpha (2)

Eqs. (1) and (2) must be solved simultaneously. The vector potential A is a standard vector potential such as the dipole vector potential. So Eqs. (1) and (2) are six equations in six unknowns, omega sub X, omega sub Y, omega sub Z, alpha sub X, alpha sub Y and alpha sub Z. The equation del dot B = 0 is true automatically and this is the key advantage of the method. I included Note 386(8) to provide a review of the historic result of UFT131, which completely refutes standard physics in many ways, and which introduced conservation of antisymmetry. This is what I mean by testing the integrity of the standard modellers with Prize applications and funding applications. At this point in time they have been completely refuted but refuse to admit it. I cannot recall a situation like this in the history of physics. As can be seen, conservation of antisymmetry provides a great deal of new information, and there have been no objections to UFT131 in nearly a decade.

To: EMyrone@aol.com
Sent: 28/08/2017 00:20:54 GMT Daylight Time
Subj: Re: 386(5): Solution to the problem

The main idea is: If the potential A leads to antisymm. eqs. of rank < 3, then parts of the simplifying approach (1) should be used in addition to the antisymm. eqs. so that an equation system of rank 3 results. Then the procedure can executed as described in the note.
For the special A of eq.(24)
A =

solving eqs. (8,9,11) simultaneously gives:
omega =

giving the right XY symmetry. Then follows

curl A = – omega x A

and

del dot (curl A) = del dot (omega x A) = 0.

I assume that B is a dipole field then:
B =

Horst

Am 26.08.2017 um 13:57 schrieb EMyrone:

This solution emerges from the assumption (1), a special case of the last note. This assumption is solved simultaneously with the antisymmetrry law (6) to (8) to give the three spin connection components uniquely, Eqs. (18) to (20). The well known current in a circular loop is used as an illustration. The algebra can be worked out with computer algebra and graphed as usual. The exact solution is Eq. (26) in terms of the complete elliptic integrals K and E with argument (27). The translation from spherical to Cartesian is given in Eqs. (32) and (33). An approximate solution is given in Eqs. (34) to (36), and the dipole solution far from the current loop is given in Eqs. (40) to (42). In each case antisymmetry is conserved and the spin connections can be computed and graphed. In this case the algebra can get complicated but that is no problem. This general method can also be used for electrostatics and probably also for electrodynamics.

386(5a).pdf

Discussion of 386(5): Numerical Solution to the problem

This looks like a very useful method and an important result. The spin connections have been found for the far field (dipole) approximation of the circular current loop, a well known problem of magnetostatics. It would be very interesting to graph this spin connection. I used this simplifying idea because it was first used in Note 381(3) for the static magnetic field. It would be very interesting to apply this method to Eqs. (25) onwards, the complete vector potential for the circular current loop in various approximations. The spin connections describe the structure of spacetime, aether or vacuum as you know, and of course this is missing completely from the standard model. The final stage of UFT386 would be to apply this mathematical method to the most general expression:

B = curl A – omega x A

386(5a).pdf

Daily Report Saturday 26/7/17

The equivalent of 88,209 printed pages was downloaded (321.610 megabytes) from 2,441 downloaded memory files (hits) and 483 distinct visits each averaging 3.9 memory pages and 7 minutes, printed pages to hits ratio of 36.14, top referrals total 2,291,543, main spiders Baidu, Google, MSN and Yahoo. Collected ECE2 3669, Top ten 2316, Collected Evans / Morris 858, Autobiography volumes one and two 703, Barddoniaeth (Collected Poetry) 633, Collected scientometrics 568, F3(Sp) 541, CV 335, Collected Eckardt / Lindstrom 222, Principles of ECE 208, Evans Equations 134, Collected proofs 113, Engineering Model 99, UFT88 96, PECE2 78, PLENR 66, CEFE 59, UFT311 52, PECE 49, UFT321 45, SCI 42, ADD 42, Llais 40, 83Ref 38, UFT313 42, UFT314 56, UFT315 67, UFT316 30, UFT317 58, UFT318 26, UFT319 58, UFT320 46, UFT322 47, UFT323 35, UFT324 60, UFT325 49, UFT326 32, UFT327 25, UFT328 49, UFT329 44, UFT330 31, UFT331 47, UFT332 47, UFT333 33, UFT334 37, UFT335 51, UFT336 37, UFT337 22, UFT338 33, UFT339 29, UFT340 45, UFT341 50, UFT342 33, UFT343 52, UFT344 46, UFT345 46, UFT346 49, UFT347 68, UFT348 70, UFT349 37, UFT351 49, UFT352 69, UFT353 60, UFT354 86, UFT355 68, UFT356 55, UFT357 57, UFT358 61, UFT359 55, UTF360 53, UFT361 48, UFT362 51, UFT363 81, UFT364 66, UFT365 62, UFT366 78, UFT369 57, UFT370 70, UFT371 62, UFT372 58, UFT373 64, UFT374 69, UFT375 44, UFT376 39, UFT377 53, UFT378 62, UFT379 48, UFT380 65, UFT381 47, UFT382 81, UFT383 70, UFT384 47, UFT385 20 to date in August 2017. University of British Columbia general; Massachusetts Institute of Technology My Page. Intense interest all sectors, updated usage file attached for August 2017.

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386(8): Commutator Proof of U(1) Antisymmetry

This proof was first given in UFT131, and refutes the U(1) gauge theory completely. On the ECE2 level the commutator is the one used in UFT99 to define torsion and curvature. This work is very well known throughout the world and this is part of the reason for many nominations for AIAS / UPITEC and myself. These nominations are recorded in the world’s leading reference vehicle, “Marquis Who’s Who”. The standard model has collapsed like a pack of cards. The adjudicators of the big prizes are standard modellers, so the nominations test their integrity and intellectual honesty as never before. This proof is given to show the fundamental importance of antisymmetry. Now I will go on to the final note of UFT386. A bright A level pupil can follow this historic proof, and with some application, so can a member of the general public. The entire standard model has collapsed: the U(1) sector, the electroweak sector, Higgs boson theory, and a lot more. My colleagues at AIAS / UPITEC all know the proof in all detail.

a386thpapernotes8.pdf

386(6) : Second Solution for Conservation of Antisymmetry

This is given in Eqs. (1), (2) and (3). The first solution is given in Eqs. (9), (10) and (11). They can be combined into one general solution (4), (5) and (6). There also exist the solutions (12), (13) and (14). However these are not obeyed by a circular current loop and are considered to be too restrictive and unphysical. Eqs. (12) to (14) are obeyed only by a static magnetic field and a potential A = (B(0) / 2) ( – Y i bold + X j bold) as in previous work. This is not the vector potential of a circular current loop. The other solutions can be physically meaningful solutions for the spin connection components of a circular current loop. The next note will proceed to the most general possible solution (15), which obeys del B = 0 by construction. Conservation of antisymmetry is a fundamental law of electrodynamics, gravitation, and fluid dynamics. Any current density can be chosen, and any vector potential computed from it using Eq. (8). The current loop gives more than one possible spin connection. Antisymmetry is obeyed by construction for all solutions. It is important to note that conservation of antisymmetry entirely refutes the standard model of physics because it refutes the standard U(1) sector theory (Maxwell Heaviside theory). Therefore the electroweak theory is also refuted (U(1) x SU(2)). These are major advances in understanding. Any magnet such as a bar magnet is accompanied by pattens of spin connections in spacetime, the vacuum or aether.

a386thpapernotes6.pdf

Daily Report 25/7/17

The equivalent of 103,061 printed pages was downloaded (375.759 megabytes) from 2351 downloaded memory files (hits) and 526 distinct visits each averaging 4.0 memory pages and 7 minutes, printed pages to hits ratio of 43.84, top referrals total 2,291,295, main spiders Baidu, Google, MSN and Yahoo. Collected ECE2 3616, Top ten 2267, Collected Evans Morris 825, Autobiography volumes one and two 701, Barddoniaeth (Collected Poetry) 631, F3(Sp) 507, CV 335, Collected Eckardt Lindstrom 218, Principles of ECE 207, Evans Equations 123, Collected Proofs 100, Engineering Model 95, UFT88 92, PECE2 76, PLENR 66, CEFE 59, MJE 55, UFT311 52, UFT321 52, PECE 48, ADD 42, SCI 40, Llais 38, UFT313 42, UFT314 52, UFT315 65, UFT316 30, UFT317 54, UFT318 26, UFT319 56, UFT320 45, UFT322 46, UFT323 35, UFT324 58, UFT325 43, UFT326 31, UFT327 23, UFT328 47, UFT329 42, UFT330 29, UFT331 45, UFT332 44, UFT333 33, UFT334 35, UFT335 51, UFT336 33, UFT337 22, UFT338 33, UFT339 28, UFT340 71, UFT341 49, UFT342 31, UFT343 52, UTF344 46, UTF345 43, UFT346 46, UFT347 66, UFT348 69, UFT349 36, UFT351 49, UFT352 67, UFT353 58, UFT354 83, UFT355 66, UFT356 54, UFT357 56, UFT358 61, UFT359 54, UFT360 53, UFT361 48, UFT362 51, UFT363 79, UFT364 66, UFT365 60, UFT366 76, UFT367 53, UFT368 69, UFT369 57, UFT370 68, UFT371 61, UFT372 57, UFT373 63, UFT374 69, UFT375 44, UFT376 39, UT377 53, UFT378 61, UFT379 48, UFT380 63, UTF381 47, UFT382 81, UFT383 70, UFT384 47, UFT385 20 to date in August 2017. Max Planck Institute for the Chemical Physics of Solids Dresden UFT175; Massachusetts Institute of Technology spidering; Massachusetts Institute of Technology Plasma Physics and Fusion Center UFT239; North Carolina State University UFT 57; University of Texas Southwestern Medical Center Revival of the Cumbric Language; City University of Hong Kong general. Intense interest all sectors, updated usage file attached for August 2017.

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386(5): Complete Magnetostatic Solution

This solution emerges from the assumption (1), a special case of the last note. This assumption is solved simultaneously with the antisymmetrry law (6) to (8) to give the three spin connection components uniquely, Eqs. (18) to (20). The well known current in a circular loop is used as an illustration. The algebra can be worked out with computer algebra and graphed as usual. The exact solution is Eq. (26) in terms of the complete elliptic integrals K and E with argument (27). The translation from spherical to Cartesian is given in Eqs. (32) and (33). An approximate solution is given in Eqs. (34) to (36), and the dipole solution far from the current loop is given in Eqs. (40) to (42). In each case antisymmetry is conserved and the spin connections can be computed and graphed. In this case the algebra can get complicated but that is no problem. This general method can also be used for electrostatics and probably also for electrodynamics.

a386thpapernotes5.pdf

386(4): Example of Antisymmetry being Conserved

Many thanks again, is it possible to graph the potential and field? This is an important test example. The standard model violates antisymmetry, so the standard dipole field and potential can no longer be used on the ECE2 level. This interesting example shows that B = B1 – B2 is a static magnetic field in k. So a static magnetic field can be obtained from a combination of two novel fields B1 and B2. In the next note I will work out the example:

B = curl A – omega x A

and

curl A = – omega x A.

which will be solved simultaneously with the antisymmetry laws. This is the special case alpha = A.

To: EMyrone@aol.com
Sent: 25/08/2017 20:54:23 GMT Daylight Time
Subj: Re: 386(4): another example

I found an example potential A =

from where the spin connections of eq.(24) result as unique solutions:

This gives

del dot (omega x A) = 0
and
del dot (curl A) = 0

as required. The fields B1 and B2 are
B1 =
B2 =

therefore:
B = B1-B2 =

This is not a dipole field. What should come out for B?

Horst

Am 25.08.2017 um 12:39 schrieb EMyrone:

Antisymmetry is proven to be conserved in general in magnetostatics provided that there exists a novel vector potential alpha defined by the spin connection term as in Eq. (7). This defines the vacuum or aether or spacetime current density (20), which can be expressed as (21). The standard model of magnetostatics is refuted entirely because it does not contain a spin connection and is not generally covariant. The standard model violates conservation of antisymmetry, the fundamental antisymmetry of the electromagnetic field tensor (an antisymmetric two-form of differential geometry). This was first shown in UFT131 ff. The standard model is Lorentz covariant only, and is a nineteenth century un-unified field theory, now refuted in many ways by many workers. ECE2 is generally covariant because Cartan geometry is generally covariant. In other words ECE2 is a generally covariant unified field theory (ECE and ECE2 theories). The existence of the spin connection has been proven experimentally and to high precision in UFT311, UFT321, UFT364, UFT382 and UFT383, and in many other UFT papers covering a wide range of physics and chemisty. Similarly the standard gravitational and electroweak theories are entirely obsolete (e.g. UFT225 shows up fundamental errors in the electroweak theory) and there now exist two major Schools of Thought in physics (ECE and ECE2 and the obsolete standard model)

386(4a).pdf

Discussion of 386(4)

Thanks again. This example was first worked out in Note 381(3). Another point is that the antisymmetry equations must be solved simultaneously with del B = 0. Then unique solutions are obtained as in Note 381(3). I will develop this point some more in the following note.

To: EMyrone@aol.com
Sent: 25/08/2017 20:34:39 GMT Daylight Time
Subj: Re: 386(4): General Proof of Conservation of Antisymmetry in Magnetostatics

This is a simpler example, good designed. The A potential (23) gives three antisymm. eqs.:

The first two give omega_z = 0, and the third gives

which is compatible with the def. (24) of omega. There is however no unique solution to the antisymm. eqs. even for this simple case.

Horst

Am 25.08.2017 um 12:39 schrieb EMyrone:

Antisymmetry is proven to be conserved in general in magnetostatics provided that there exists a novel vector potential alpha defined by the spin connection term as in Eq. (7). This defines the vacuum or aether or spacetime current density (20), which can be expressed as (21). The standard model of magnetostatics is refuted entirely because it does not contain a spin connection and is not generally covariant. The standard model violates conservation of antisymmetry, the fundamental antisymmetry of the electromagnetic field tensor (an antisymmetric two-form of differential geometry). This was first shown in UFT131 ff. The standard model is Lorentz covariant only, and is a nineteenth century un-unified field theory, now refuted in many ways by many workers. ECE2 is generally covariant because Cartan geometry is generally covariant. In other words ECE2 is a generally covariant unified field theory (ECE and ECE2 theories). The existence of the spin connection has been proven experimentally and to high precision in UFT311, UFT321, UFT364, UFT382 and UFT383, and in many other UFT papers covering a wide range of physics and chemisty. Similarly the standard gravitational and electroweak theories are entirely obsolete (e.g. UFT225 shows up fundamental errors in the electroweak theory) and there now exist two major Schools of Thought in physics (ECE and ECE2 and the obsolete standard model)