Archive for the ‘Uncategorized’ Category

Additional chapter on electrodynamics added to ECE textbook

Friday, February 19th, 2021

Chapter 6 of the ECE textbook has now been published as a new version of UFT paper 438. The chapter describes ECE2 theory and the important application of Beltrami solutions.
Both subjects were introduced differently by Myron. Here I tried to present the subjects in analogy to prior ECE theory so that the textbook has a unified style and is easier to read. So the presentation has less “fiery” originality but is mathematically more stringent. At the end of the book, a table has been added, in which the times of the main discoveries are listed.

The textbook can be downloaded from

The computer code of the examples has also been updated:

Next, the part on ECE dynamics and mechanics will be published. It is planned to present a preview on the most important subject (field equations of dynamics) in near time.

New chapter in ECE textbook

Monday, January 18th, 2021

Dear all,

I am glad to announce the finishing of chapter 6 of the ECE textbook. It describes ECE2 theory and the important application of Beltrami solutions.
Both subjects were introduced differently by Myron. Here I tried to present the subjects in analogy to prior ECE theory so that the textbook has a unified style and is easier to read. So the presentation has less “fiery” originality but is mathematically more stringent.

Paper: Transcending the Standard Model of Physics

Saturday, December 19th, 2020

Ulrich Bruchholz published a paper in co-authorship with me. Three principal approaches of physics are compared, which are foundational for classical theoretical physics of the 20th century: The General Relativity of Einstein, the theory of Rainich, which uses the Einstein-Maxwell equations, and the Einsten-Cartan-Evans theory of Myron Evans.

Unification aspects of all three theories are compared and determinacy on a classical level is discussed. The role of deterministic chaos is shown to be the reason that Bruchholz is able to compute properties of elementary particles numerically.

EJERS, European Journal of Engineering Research and Science
Vol. 5, No. 10, October 2020.

What if Dark Matter Doesn’t Exist?

Friday, December 18th, 2020

This question was asked in an article of scitechdaily:

There are theories being alternative to the popular “dark matter” suspection, which is used to explain why stars in galaxies show motions different from Newtonian dynamics. A “pull” of stars has been detected which is attributed to an “external force”. In all these attributions, it is assumed that non-Newtonian effects are evoked by mass-based forces. Scientists have not enough phantasy to imagine that a different type of dynamics could explain the observed effects also. Dynamics has to do with linear momentum and angular momentum. So the scientists should think about such sources of impact. Then they would perhaps encounter ECE theory which explains their “unexplainable” effects very simply and consistently by angular momentum.

What is gravitation?

Saturday, December 5th, 2020

In this contibution we discuss principal questions of physics, for which no convincing solutions have been given so far. Besides mathematical theory, we borrow some ideas from Nicola Tesla and Tom Bearden.

Many people argue that a unified theory of physics should have an explanation on a physical level, on what gravity is and how it is related to electromagnetism. In ECE theory, we have limited ourselves so far to the description of effects, including coupling between gravitation and electromagnetism, withoutout making statements on the “real nature” of elementary forces of physics. However, the means are there now to tackle this foundational problem in detail. We have a vacuum theory (macroscopically and microscopically), a theory of potentials making up spacetime, a theory of fluid mechanics, fluid electrodynamics and fluid gravitation. There have even been estimations for upper limits of vacuum particles, assuming a discrete vacuum structure as Nicola Tesla did.

Putting all this together, we are able to theoretically verify a model of electromagnetism proposed by Tom Bearden. Electric fields are a transport phenomenen of aether strucutres. These structures consist of a special configuration built by aether particles. Since aether particles flow from one charged pole to another (in case of a dipole), there must be a mechanism for refilling the charges with aether particles. This refilling process works by “unstructured” aether particles, which are reconfigured in charged masses. The reflow of aether particles is necessary for conservation of aether mass-energy. This reflow makes up the gravitational field. Since matter is internally charged (atomic nuclei), There is always such a process. The aether reflow generates a pressure and velocity distribution in the aether. These are the gravitational pontenials, which give rise to the gravitational force fields (Newtonian gravitation and gravito-magnetic field). Because both, the electric and gravitational flow, are evoked by aether structures, they underly the same elementary mechanisms and therefore the same geometric equations. This is the reason why the ECE field equations are the same for gravitation and electromagnetism, with exception of different constants.

Tom Bearden was not able to descirbe his ideas by mathematical models. This is now possible by ECE theory. Ordinary electrodynamics is not sufficient. One needs to apply the ECE antisymmetry laws to show that an aether flow (vector potential) is connected even with a static electric field. The counterpart of the Coulomb law, Newton’s law, can be derived by equating the constants of both laws. Since the potentials describe a scalar-valued density function, the same law is valid for both flow directions of aether particles, that is the electric flow and the gravitational back-flow. As a consequence, it is also explained that central gravitational forces are always positive, while both signs are possible for central electrical forces.

Longitudinal and “matter” waves

Saturday, December 5th, 2020

AIAS member Steve nannister gave the hint to a video by Bob Greenyer of the Martin Fleischmann Memorial Project. Bob is just one of the fundamentally smart people in the space. In this video he explores and extends the work of, e.g., Hutchinson, Shoulders, and others:

ECE theory provides the foundation for such developments. First, one has to use the right vocabulary. “Scalar waves” are longitudinal waves in ECE (and general scientific) speaking. We have done a large number of papers on this, accumulated in chapter 3 of the book Prinicples of ECE Theory, vol. 1. Mathematically, such longitudinal waves are Beltrami fields. Examples are shown in the book. These waves are solutions of Maxwell’s equations and can be understood even by standard electrodynamics.

What is called “matter waves” are waves of stress in the vacuum. They can be longitudinal or transversal. In the longitudinal case, they are also called “scalar waves”, giving confusion with the wave types described above. The non-empty classical vacuum in ECE theory is filled with scalar and vector potentials of a form that does not produce force fields (e-m fields). The Aharonov-Bohm effect, although being a quantum effect of electrons, is produced by such potentials or “potential fields”. They can be constructed by e-m fields that annnihilate themselves completely. The energy density of the space remains and can have wave character. They then expand as pure “energy waves”. The ECE vacuum is described in UFT papers 292, 296, 299 on and in the book Principles of ECE theory, vol.2, chapter 6. There is also a popular article on this:

The waves are similar to sound waves in solids where the atoms oscillate around an equilibrium position but no matter is transported. In case of potential waves, the oscillating “material” is the vacuum itself. According to Tesla, the vacuum has a microscopic, discrete structure consisting of very small “vacuum particles”. These particles are what oscillates in potential waves, without giving rise to e-m fields.

Graphene for Generating Clean, Limitless Power

Saturday, November 28th, 2020

Scitech Daily reports:

One can understand this graphene mechanism well if one starts from the hypothesis that this structure is able to establish an interaction with the vacuum energy. As is explained in the article, the whole thing has nothing to do with thermodynamic effects such as temperature differences and Maxwell’s demons and does not lead to any contradictions in this regard. It could be that this is one of the first public scientific proofs of “energy from the vacuum”, which we have been looking for in the alternative scene for a long time. Devices “commercial in confidence” are on the market already.

Is the Hodge dual suited to simplify calculations as in paper 439?

Monday, October 26th, 2020

From Email exchange:


Doug introduced the Hodge dual to hide certain information and to obtain simpler expressions for curvature tensors.  I have to discuss this with him in detail. It has to do with the fact that the essential information in Cartan geometry is contained in the antisymmetric parts of the connection.
Referring to paper 439, you can compute the Hodge duals of all tensors but this is not necessary in the path from the tetrad to the force field tensors. The Hodge duals of the connections were computed in that paper. From the examples it is seen that they are not necessarily simpler than the original connections. Theoretically you could compute the dual torsion from the Lambda connections and then identify with the E, B fields in the dual representation of the F tensor.


Am 26.10.2020 um 18:13 schrieb Russell Davis:
Hi Horst,

I’m glad the blog is back up and operational. I also like Myron’s original blog format (template) that Sean was to implement; it’s provides a pleasant visual continuity with all the past blog posts.

Doug also sent me a draft copy of his new paper (which you refer to on your latest blog post), in which he develops Hodge dual simplifications that capture the information of the tensor formulations. Can Doug’s approach be used in relation to your paper 439 to establish an even more handable equation set pathway for calculating or analyzing the features of a particular physical system?


Why is Einstein’s field equation successful in some cases?

Friday, October 23rd, 2020

This question will be answered by a new paper. The result is that Einstein’s field equation can be derived as combination of curvature vectors negelcting torsion. Doug Lindstrom is currently developing a paper on this subject using totally antisymmetric torsion. He writes:

In this paper, my plan was to link Einstein to ECE at the Riemann tensor level, in so doing obtaining the Einstein field equations (first Bianchi identity).

In the next paper, I would introduce the tetrad and spin connection and have torsion and curvature respecified, with the limitations, determined in this paper, placed on the metric connection. The second Bianchi and Maurer equations, etc. would be added to the mix as I think you are suggesting.

To summarize my reasoning steps in this paper – all of this on a Riemann-Cartan manifold.

Part I. If torsion is assumed to be totally antisymmetric, then there are four and only four scalars, each one associated with a basis element the base manifold.

Part II. The hodge dual of a totally antisymmetric tensor is a vector which satisfies the requirements of Part I.

Part III. Torsion is equal to twice the value of the antisymmetric connection component, whether we look at it as a rank 3 tensor, or as a dual vector.

Part IV Assuming that the metric connection is antisymmetric as given by the commutator’s antisymmetric nature then there is an array ( don’t know if it is a tensor) with possible non-vanishing diagonal entries only. This is the most general symmetric component , given the antisymmetry of the commutator .

Part V. Sums along the diagonals of the symmetric connection generates three one forms, of which two are equal (and equal to the four dimensional gradient of a scalar that is a function of the metric). The third one is related to the other two with the difference being the 4-divergence of the metric.

Part VI A Ricci-like rank two tensor can be made by applying the results of Part V above to the curvature tensor. This entity (not proven to be a tensor) is composed of an antisymmetric part, a symmetric part with vanishing diagonals, and a purely diagonal (symmetric) component. Taking the Hodge Dual of this reduced curvature generates a relatively simple vector based expression – the symmetric part disappears. A scalar curvature which follows is also quite simple. Both of these expressions carry non-linear terms in the vector for the antisymmetric connection (or torsion).

Part VII Reduction to Einstein – in the limit of torsion vanishing, this becomes the Einstein equation including a wave-like disturbance in a function of the metric. (something I gather Einstein’s original relativity did not)

Part VIII Einstein with Torsion – A linearized version of the equation including torsion looks like the Einstein-Cartan-Sciami-Kibble equation. The non-linearity terms in torsion that were neglected were not discussed.

I will spend some time this week considering a totally covariant torsion, and see how that propagates through the paper.



New paper on simulation of a double pendulum

Tuesday, September 29th, 2020

The text after eq. (11) got mixed up. Here the (hopefully) final version.


Am 28.09.2020 um 20:55 schrieb Horst Eckardt:

This is a corrected version, there was some confusion in tables and figure captions.


Am 28.09.2020 um 18:14 schrieb Horst Eckardt:

Dear all,

My colleague Bernhard and I dealt in great detail with the dynamic simulation of pendulums and the so-called Würth gear. There is a claim from the environment of the Milkovic pendulum that additional energy should be released. We looked at a calculation made by an anonymous author and found errors in it. According to classical mechanics, such a pendulum cannot accelerate itself. However, there are alternative mechanisms, e.g. from the ECE theory, which could theoretically make this possible. That would explain claims by various authors, but they have so far failed to provide scientific, public evidence.
Bernhard made beautiful animations for the pendulum and Würth gears, which we will present on occasion.
Please check the paper. Then it will be published on the AIAS web site (in 2 languages).

PS: the paper was largely translated by Google Translator from the German version. Please check the quality of translation.