Tag Archives: versor algebra

Eric Dollard’s Versor Algebra Part 1 – Now available in paperback on Amazon

Versor Algebra Part 1 by Eric Dollard
Versor Algebra Part 1 by Eric Dollard

 

It’s taken a lot of work to get this into a paperback template, but Versor Algebra – As Applied to Polyphase Power Systems Part 1 is now on Amazon!!!

Go here: Versor Algebra

Eric Dollard’s description of the book: “Charles Proteus Steinmetz’s original math model is a natural outgrowth of Nikola Tesla’s polyphase power systems. Tesla was the discoverer, but Steinmetz was the builder who first applied Versor Algebra to the analysis of alternating current power systems.

In my presentation and book Four Quadrant Representation of Electricity, my extension of Steinmetz’s work is presented in the most simple way possible using very simple analogies, pictures and diagrams. It was a very difficult task as the goal was to facilitate an understanding for the layman.

That presentation was given at the 2013 Energy Science & Technology Conference and shortly thereafter, the book version was released, which went into more detail that was not covered in the presentation.

Tesla’s polyphase power system was originally four poles or four phases. Steinmetz is the one who adapted it into a three pole or three phase system, which is the prominent system of today. The complication is that three phase systems cannot be explained by conventional mathematics. With three phase systems, there is no plus or minus and that is the reason why the conventional math doesn’t work anymore.That left a big gap in polyphase power systems until Dr. Fortescue came up with the system of Symmetrical Coordinates. This laid the groundwork for polyphase mathematics for any number of phases. And ultimately, it can be extended into the Pythagorean understanding of numbers.The “Fortescue Method” was never fully developed because of its complexity.

The proper name for this is “Sequence Algebra” and the rudiments were presented in my presentation and book Four Quadrant Representation of Electricity.

Even though the system has become adopted for general engineering usage, Versor Algebra as Applied to Polyphase Power Systems and/or Versor Algebra Vol. II, Special Theories of Sequence Operators as Applied to Power Engineering is the first theoretical basis that has ever been presented on the subject.Versor Algebra as Applied to Polyphase Power Systems and/or Versor Algebra Vol. II, Special Theories of Sequence Operators as Applied to Power Engineering is the next logical step after Four Quandrant Representation of Electricity as it takes the reader into the mathematical journey of the mathematical model and theory that is necessary to realize the unique electrical waves that exist in polypahse power systems.

These waves are actually beyond the original understanding of Tesla and Steinmetz with regard to polyphase power systems.It is important to understand that this is all possible with simple 9th grade algebra. I take the reader through a step-by-step process from very basic algebra and log-rhythms into the more complex subject.

The process involves very simple but numerous steps to guide the reader into the understanding of polyphase mathematics.Through my own journey in writing this Versor Algebra book, I have been able to unify the polyphonic music of Bach and his contemporaries as this music follows the logic of sequence algebra perfectly.In fact, the book was written when listening to this music, which aided the process greatly.

Get your copy here: Versor Algebra

Special thanks to Jeff Moe and Simon Davies of http://teslascientific.com for editing and formatting the book.

For Eric Dollard’s other book, which is for any engineer at any level, get Lone Pine Writings.

Geometric Algebra at 2019 ESTC

Dr. Jack Hanlon
Dr. Jack Hanlon

Recently, I had the privilege of talking to Dr. Jack Hanlon more in depth about his presentation on Geometric Algebra and it is much more powerful than I had initially thought. He gave me some very specific examples where mainstream science says no energy is happening, but it clearly is. He presented a type of “source-code” to being able to reveal this hidden energy using Geometric Algebra. Once it is understood where the energy is happening in reactive power situations, then the first step has been taken in being able to move towards understanding how we might be able to use it to create real measurable work, which is one of the “Holy Grails” of Free Energy.

Versor Algebra
Versor Algebra

Eric Dollard’s Versor Algebra is based on the work of Steinmetz who developed it in order to mathematically model and crack Tesla’s polyphase patents on behalf of General Electric who hired him. The application of Versor Algebra for studying polyphase power systems of any number of phases including the self-referencing single phase Tesla mode is possible. It can also be used to analyze planetary phases, the ebbs and flows of the ocean, time and countless other things that have rhythms and motions.

Having worked with Eric for a number of years now regarding this kind of math, which I do not claim to be at any level of proficiency, I can say that Dr. Hanlon’s Geometric Algebra developments will be an excellent foundation for anyone interested in learning what kind of math they should learn in order to mathematically show the basic operating principles of natural energy systems. I can say this because I fully comprehended what Dr. Hanlon shared with me and I have not studied mathematics for nearly 30 years.

Hacking the Aether by Aaron Murakami
Hacking the Aether by Aaron Murakami

After presenting my Hacking the Aether model, which is a “unified field” model for the layman showing possibly what gravity, inertia, time and other natural phenomena are in a simple but seamless method, Professor Haralick suggested that I put some math to it beyond the basic Newtonian Equations to tie it all together. I haven’t seen anything that seems to be a good fit but after talking to Dr. Hanlon, it’s the first time I have had an interest in learning a specific, simple and elegant mathematical method to accomplish my goals. I can only image what it could do for you in your pursuit of advanced energy technologies.

There will be a specific focus on switched reluctance motors/generators but this is far from being the only thing his developments in Geometric Algebra can be used for. Join us at the 2019 Energy Science & Technology Conference to see this landmark presentation in person. 2019 Energy Conference

Almost half the seats are already sold out so register and get your tickets while you still have the opportunity. You can see what’s lined up so far here: http://energyscienceconference.com/2019-conference-schedule/

Versor Algebra by Eric Dollard * Released *

Versor Algebra by Eric Dollard – Available Now

Versor Algebra by Eric Dollard
Versor Algebra by Eric Dollard

The long anticipated by book by Eric Dollard, Vesor Algebra as Applied to Polyphase Power Systems, is finally available.

Take note that this book reveals that Eric Dollard’s understanding of Polyphase Power Systems their rotating waves is actually more advanced than either Tesla or Steinmetz’s original understanding.

This is a historically  important book not just for electrical engineers, but eventually for music theorists because it allows them to finally have the simplified sequence algebra necessary to fully analyze polyphonic music.

Proceeds from this book go to supporting EPD Laboratories so Eric Dollard can continue his work on the Advanced Seismic Warning System, other projects as well as continuing his writing.

Listen to this overview by Eric Dollard:

Get your copy here: http://versoralgebra.com

Versor Algebra by Eric Dollard Coming March 22nd, 2015

VERSOR ALGEBRA BY ERIC DOLLARD – WHY IS IT IMPORTANT TO THE TESLA SCIENCES?

At the 2013 Energy Science & Technology Conference, Eric Dollard presented Four Quadrant Representation of Electricity – that presentation and the book that followed it went deeper into Eric’s mathematical concepts than he has ever taken them. But he gave the presentation in a way with a lot of diagrams, analogies, etc… to make it as simple as he could for the layman to understand.

Versor Algebra -  Charles Proteus Steinmetz
Versor Algebra – Charles Proteus Steinmetz
Charles Proteus Steinmetz

Way back in Tesla’s time, Charles Proteus Steinmetz was hired by General Electric to analyze Tesla’s polyphase systems. Most people are familiar with today’s three-phase systems, but Tesla’s was actually four phase. Although Tesla conceived of all of this, it was Steinmetz who was the real builder and adapted the four phase system into a three phase system that is in use today.

Steinmetz was the one who first used Versor Algebra in his analysis of Tesla’s polyphase systems – it is also known as or possibly more accurately known as Sequence Algebra.

This left a huge complication because the three phase system didn’t have the normal pluses and minuses in the mathematical analysis so there was this gap for all of this time that did not make it possible to really analyze three phase systems with conventional math.

Dr. Fortescue is someone that most people have never heard of, but he developed a system known as “Symmetrical Coordinates” and that made it possible to analyze systems of any number of phases thereby closing the gap.

Where Eric Dollard’s Versor Algebra book comes into play is that Eric is presenting a General Theory of Versor Algebra for the first time in mathematical history tying all of this together and bringing it to the simplest form possible.

Once again, Eric Dollard demonstrates his genius mastery of the Tesla Sciences like nobody else has been able to do. Whether or not you have an interest in the math, we hope when it is released on March 22nd, Sunday, that you’ll help support Eric and his work that is very important to the electrical sciences by getting your own copy.

If this were 100 years ago, Eric Dollard would be a world wide celebrity for developing this Versor Algebra book for the electrical sciences along with Tesla, Steinmetz and others who were genuinely involved in researching the very foundation of the electrical sciences. Let’s show Eric that his monumental efforts are genuinely appreciated!