## New forms of handling polarization indices in Cartan geometry

July 6th, 2019

Doug Lindstrom is currently developing a paper on totally antisymmetric torsion. It comes out that the torsion tensor then is homomorphic to a 4-vector. This will give new insights, including a new reduction of polarization indices.
I myself tried out tetrad matrix examples which have diagonal form. This means that the coordinate systems of the base manifold and tangent space are collinear. In terms of Cartan geometry, this means that there is a 1-to-1 correspondence between Greek and Latin indices. As a next step, I will develop the e-m field from torsion (which is simply a re-numbering of torsion tensor elements). The tetrad is the e-m potential, and a diagonal tetrad means that there is exactly one scalar potential and one vector potential. We will see if meaningful results will follow from this approach.

## New textbook on ECE theory in preparation

July 6th, 2019

As you all know I am working on the ECE text book. I have finished now the first three chapters: introduction, mathematical foundations and geometrical identities of Cartan geometry. I worked out the proofs of the Cartan-Bianchi and Cartan-Evans identity. The latter is the Hodge dual of the Cartan-Bianchi identity which is the usual Bianchi identity including torsion. I have spent some time to work out computational examples. So the validity of both identities is shown by Maxima code examples. The code is usable for any tetrad matrix and fully general. Myron would have been delighted about this. I ask you for some patience, until the proofreading is finished. Then we will have a little mathematical textbook for studying Cartan geometry. Of course this is not yet ECE theory. The axioms of ECE theory, ECE2 and electrodynamics will follow. Then a reader can get a fuller grasp of ECE.

## Plans for next papers

July 6th, 2019

Paper 438 will be finished in memoriam of Myron. I have still to do some calculations on the escape velocity from dark stars. For paper 437 section 3 is missing, I will have to alter the quantum chemistry program for atoms to get some results. Concerning new papers, we could think about the time development of the universe, described by m theory. This will require some discussions and notes in advance.

## AIAS work goes on

July 6th, 2019

The development of ECE theory will be continued by AIAS. After the sudden death of Myron Evans, progress will be less rapid, but the AIAS members will continue theoretical and practical work on ECE theory.

June 18th, 2019

## Fwd: Fwd: Effect of increasing central mass in m theory

April 27th, 2019

Photons with mass approaching a dark star.

Many thanks. To give a rough first answer to the question on why a central mass evolves, these data show that a mass m is captured by a dark star, so over time the mass of the dark star becomes larger and larger as it captures more and more objects. It is possible to use the same set of equations to study the trajectory of a photon of mass m captured by a dark star, or in orbit around a smaller mass M than that of a dark star. In the next note I will develop the theory of the trajectory of a photon of mass m in the vicinity of a dark star of mass M. In that problem m << M, for any M. Horst’s code is so powerful that it can be applied to any problem with the production of many new results. He plans toput it in the public domain with instructions on how to use it. The standard dogmatists have not advanced in fifty years. In fact, according to Hawking’s rejection of black holes in 2013 / 2014, they have gone backwards. The photon mass m is very tiny but as I showed in 1991 with the discover of the B(3) field, is identically non zero. Vigier pointed out the connection between B(3) and photon mass.

Fascinating results – congratulations both!!

Sent from my Samsung Galaxy smartphone.

## Constant m Orbits

April 24th, 2019

Constant m Orbits

Coming too near a dark star is like stepping in to a coal pit. Any self consistent numerical method can be used and your method looks very promising.

Constant m Orbits

I like the name "dark star". There was a Russian SciFi film in the sixties where a spaceship came near to a dark star. The star was only visible by hiding the view to other stars and nebulae behind the object. Unfortunately the star had a devastating effect on the crew…

Coming back to notes 438(1,2): I found that with the parameters of the S2 star it is quite difficult to keep closed orbits when changing the central mass. One has to search new initial conditions for each parameter set, and numerical stability limits are quickly reached when increasing the central mass. Since we are planning to study different effects as
– relativistic vs. Newtonian theory
– constant and non-constant m functions
it seems to make more sense to use a model system with unified parameters. This will also give more numerical stability.

Am 23.04.2019 um 12:35 schrieb Myron Evans:

Constant m Orbits

These are defined by Eqs. (1) and (2) and when solved give a precessing orbit. In the particular case m = 1 they give the precessing orbits of special relativity. It would be very interesting to investigate the properties of the precession as M becomes infinite and the dark star is formed. I use Michel’s appellation "dark star" (1783). For different values of constant m the orbit departs more and more from special relativity because it is an orbit of generally covariant m theory. The complete orbit equations are Eqs. (7) and (8) of Note 438(1). It would be very interesting to investigate what happens to the orbit as M approaches infinity and the dark star is formed. It is already known that the complete orbit equations spark off new physics of many different kinds. In order not to waste the astronomical data on the fictitious "black holes" they can be reinterpreted in terms of the dark star and m theory. The unhealthy obsession or fixation on black holes is due to the fact that funding depends on finding them, even though they do not exist. The same type of idee fixe is present in the obsessions about the Higgs boson and gravitational radiation. This is the age hold habit of forcing nature into anthropomorphic preconceptions – the opposite of Baconian science.

## Constant m Orbits

April 23rd, 2019

Constant m Orbits

These are defined by Eqs. (1) and (2) and when solved give a precessing orbit. In the particular case m = 1 they give the precessing orbits of special relativity. It would be very interesting to investigate the properties of the precession as M becomes infinite and the dark star is formed. I use Michel’s appellation "dark star" (1783). For different values of constant m the orbit departs more and more from special relativity because it is an orbit of generally covariant m theory. The complete orbit equations are Eqs. (7) and (8) of Note 438(1). It would be very interesting to investigate what happens to the orbit as M approaches infinity and the dark star is formed. It is already known that the complete orbit equations spark off new physics of many different kinds. In order not to waste the astronomical data on the fictitious "black holes" they can be reinterpreted in terms of the dark star and m theory. The unhealthy obsession or fixation on black holes is due to the fact that funding depends on finding them, even though they do not exist. The same type of idee fixe is present in the obsessions about the Higgs boson and gravitational radiation. This is the age hold habit of forcing nature into anthropomorphic preconceptions – the opposite of Baconian science.

a438thpapernotes2.pdf

## 438(1): Orbit Around a Pseudoinfinite Mass in m Theory

April 23rd, 2019

438(1): Orbit Around a Pseudoinfinite Mass in m Theory

Many thanks, this is exactly what is required, graphing the effect of an increasing central mass. The complete m theory orbit equations were used in UFT419 with the S2 star. They were also used in UFT416 and UFT417 to produce very interesting results. So we just have to increase the central mass M in that code to as large a value as the computer can take. The Newtonian limit is fully analytical and will show the characteristics of the dark star, named by Michell in 1783. The complete equations (7) and (8) can be developed in several ways, for example by using a static m(r) to begin with, then repeating the method you suggest in the Newtonian limit. Finally the complete equations can be used with a finite dm(r) /dr and m(r) with various models. These are all well read papers so it is well known that all claims about dark holes completely ignore modern scholarship. It is well known that they ignore scholarship, so their claims are immediately rejected. The astronomical data probably indicate the existence of a Newtonian dark star modified by m theory. The complete equations (7) and (8) can be analyzed in many ways, some of this work has already been done in UFT416 ff.

438(1): Orbit Around a Pseudoinfinite Mass in m Theory

In which paper exactly did we use eqs.(7-8)? I will reactivate the calculation.
I think besides the mass m the intital conditions should be kept the same so that we see the impact of changing M. We will have to rescale the orbits because they shrink to zero.

Horst

Am 22.04.2019 um 10:50 schrieb Myron Evans:

438(1): Orbit Around a Pseudoinfinite Mass in m Theory

This is a development of UFT419, the orbit equations of m theory being the richly structured Eqs. (7) and (8) which can produce any observable orbit. Note carefully that they are not based on the Einstein field equation. In the Newtonian limit they reduce to the well known equations (9) and (10), which give conic section orbits (11). It is shown that if the central mass becomes infinite in the Newtonian limit, the orbit shrinks to a point of infinite mass density, the half right latitude approaches zero, the eccentricity approach 1, and the orbital velocity approaches infinity. A photon of mass m is captured by the pseudoinfinite M, and can never escape, because its escape velocity (26) must be infinite. All the characteristics of this type of orbit can be graphed in various ways. The area around the infinite mass will look completely dark, because all the photons have been captured. These graphics will probably reproduce the object claimed by standard model propaganda to be a "dark hole". The use of the complete m theory will produce a large amount of other information. However Newtonian dynamics can explain the so called "dark hole" photograph. The use of Newtonian graphics will show that "black hole" theory can be explained almost completely without using event horizons. In fact this was Hawking’s last thoughts on the subject. So the computer graphics could illustrate what happens to a Newtonian orbit as the central mass approaches infinity. Animations would be even better. There are no "black holes" because they are inferred from an incorrect geometry, the 1902 second Bianchi identity. The correct second Bianchi identity is the JCE identity of UFT88 to UFT313. Crothers, Robitaille and many others including Einstein and Hawking have argued against black holes.

## Photon Mass and Dark Stars

April 23rd, 2019

Photon Mass and Dark Stars

My idea of the dark star (Note 438(1)) is based on photon mass, which I proved in 1991 from the inverse Faraday effect and the B(3) field. This became the basis of the ECE unified field theory and has apparently been nominated several times for a Nobel Prize, for what that is worth. Vigier pointed out in 1993 that the B(3) field implies photon mass. In 1783 Michell was not sure what attracted light to a mass. So if we just use common sense and dark stars, the photon mass m would be attracted to the super heavy mass M according to Newton’s universal gravitation. The m theory is general relativity, but has nothing to do with Einstein’s field equation. It gives a huge amount of new information (UFT415 ff).