Versor Algebra

Versor Algebra

Volume 1 – Versor Algebra As Applied To Polyphase Power Systems

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 any more.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 Volume 1 and Versor Algebra Volume 2 is the first theoretical basis that has ever been presented on the subject.Versor Algebra Voume 1 and Versor Algebra Volume 2 is the next logical step after Four Quadrant 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 logarithms 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.(146 page downloadable ebook)

Volume 2 – Special Theories Of Sequence Operators As Applied To Power Engineering

In Versor Algebra Volume 2, the general theory presented in the first volume is actually applied to any number of phases.Each set of phases has its own mathematical manifestation. If there are eight phases, the math is very different from the math necessary to analyze three phases. The general theory is basically being developed into special theory for multiple number of phases.The second volume covers a plurality of phases including eight phases, which is necessary for the proper mathematical analysis of polyphase music. It also covers the very usual true single or monopolar phase developed by Nikola Tesla for his telluric ground transmission systems. We also review the more common three and four phase power systems.What is commonly misunderstood as single phase is actually a two phase system that is common in your home. This is not a true polyphase system because it is not rotational like a four phase system but is included for continuity.You will be able to observe the mathematical process without being sidetracked by numerous subscripts and the use of the same letter for a multiplicity of terms, which is the flaw in the available textbooks on the subject. This is necessary to establish the clarity of the process so that in the future third volume, it is possible to understand its application and extension.(193 page downloadable ebook)
Fault has been found with these articles that they are hard to read. They were harder, perhaps, to write.Oliver Heaviside – Electromagnetic Theory Volume 1, 1893

Versor Algebra Volume 1 (Paperback)

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 any more.

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 Volume 1 and Versor Algebra Volume 2 is the first theoretical basis that has ever been presented on the subject.

Versor Algebra Voume 1 and Versor Algebra Volume 2 is the next logical step after Four Quadrant 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 logarithms 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.

(146 page downloadable ebook)

Fault has been found with these articles that they are hard to read. They were harder, perhaps, to write.

Oliver Heaviside – Electromagnetic Theory Volume 1, 1893

Versor Algebra is also available as a downloadable ebook

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2020-05-02 Eric Dollard Live Call Recording

Donate to EPD Laboratories, Inc. to help support the work of Eric Dollard with the PayPal link in the right column (just scroll down) or mail a check or money order to the PO Box in Spokane.

Electrodynamic Seismic Forecasting presentation available here: https://emediapress.com/shop/electrodynamic-seismic-forecasting/

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versor algebra part 2 by eric dollard – paperback on amazon available now

NEW RELEASE – Versor Algebra Part 2 by Eric Dollard is here!

This is a continuation of Part 1 – 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.

Get the new book here: Versor Algebra, Part 2

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.

Get the new book here: Versor Algebra, Part 2

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. Eric takes 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 Eric’s 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 the new book here: Versor Algebra, Part 2

For information on Versor Algebra Part 1 on Amazon – go here: https://ericpdollard.com/2019/07/25/new-paperback-versor-algebra-as-applied-to-polyphase-power-systems-part-1-by-eric-dollard/

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* NEW PAPERBACK *Versor Algebra – As Applied to Polyphase Power Systems Part 1 by Eric Dollard

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 any more. 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 https://www.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.

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Eric Dollard Live Call 2018-12-02

There is a LOT of material covered in this recording including Zennek Surface Waves, which are supposedly related to the “Tesla Tower” in Texas that is causing a lot of buzz, discussion of earthquake forecasting, Eric also gives some details on several of his presentations and he goes into some of JJ Thomson’s work as well as Dayton Miller.

By the way, the EPD Laboratories, Inc. 501(c)3 non profit organization supporting the work of Eric Dollard has had it’s building paid off as of a month ago!!! This is a huge step for all of us involved with Eric’s work and we coudln’t have done it without all of your generous donations! Before, it costs about $14000 per year to cover the mortgage, tax, insurance, utilities, etc. just to cover the building expenses. That has been reduced by about $8000 so the total operating costs for the building is now only $6000 or about $500 per month!! This has made a huge difference for the organization. We still need help with the monthly operating expenses so if you are able to pitch in, every bit helps! The PayPal donation link is in the right column of https://ericpdollard.com and right by that is a mailing address if you want to mail a donation in the forum of a check or money order. Thank you all for your support!

Please donate to EPD Laboratories, Inc using the PayPal link in the right column or checks or money orders can be sent to the Spokane POB address. Thank you for your support!

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History, Theory & Practice of the Electrical Utility System by Eric Dollard

This is a presentation that Eric Dollard has wanted to deliver for the last couple years. It was inspired by his discovery that on the land where the seismic lines are, there is an enormous amount of electrical transmission interference. Upon further research, Eric discovered that it is caused by the degenerated manner in which the grid is wired, which has deviated from the good practices of the past.

This presentation is 5 hours long so not for the faint of heart!

It is laid out in several sections sequentially starting with the most comprehensive history of electrical utility transmission systems, comparison between AC & DC, the development of the lighting systems, wiring methods, and related topics. It also lays out who the main players are, who got it all started and who inspired the modern electrical age as we have it.

Eric Dollard covers in detail all the different transformer wiring methods including Delta and Y (Wye) Three-Phase and many variations of each. He is very clear about what methods are preferred and what is wrong with the non-preferred methods that are already in widespread use. He covers the distinctions of why power engineers think the poor methods they are using are better, which reveals the fact that they don’t know what they don’t know – this is where the trouble begins.

One of the most important elements of this entire presentation is that EMP (electro magnetic pulse) vulnerabilities from nuclear weapons detonated in the atmosphere or other sources of EMP is a very hot topic. What is even hotter that most people don’t recognize is that as the grid is degenerated (and at a higher cost), not only is the grid vulnerable to the damage, the way the grid has been connected actually turns it into an antenna to broadcast the EMP damage right into YOUR home!

Every appliance plugged into the grid is metallically connected to HOT electrical wiring right at the electrical utility pole. The notion that everything is grounded to protect from this kind of situation is faulty and you will learn why.

Has this been done intentionally or is the sabotage simply unknown to the engineers and was made possible simply by their own ignorance of the matter? Is this sabotage organized top down by those who wish to take down the United States? Whatever the case may be – if you don’t believe in conspiracy theories yet, you probably will.

Intentional or not, this is something that needs to be addressed and is so important that it should be a National Security concern with high priority.

Learn more: https://emediapress.com/shop/history-theory-practice-electrical-utility-system/

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Earth Signals Received

Eric Dollard and the rest of the team have gotten a lot of progress done over the last few months repairing phone poles, putting up new cross-arms and transmission lines.

This is a huge step for the Advanced Seismic Warning System and below is a video to show some of the progress. Eric explains how he is connecting to the lines, getting powerline interference, and even getting some of the Earth Signals!

This is a very important first step – this particular system is in an area where it won’t be used to forecast earthquakes, but is a test bed to prove the system out, which he has done years ago already at Landers.

Essentially, this is THE LARGEST Tesla related experiment on Earth right now and everyone needs to know about this that is interested in the Tesla sciences. Eric is the master of longitudinal transmission and the experiments that will be made possible here will  prove indisputably in a very big way that Tesla was right.

Please share this with your friends with the links under the video and consider donating at least $5 with the PayPal link in the right column to help support the project. More to come!!!

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Advanced Seismic Warning System Transmission Lines

Here is a set of pictures where I (Aaron Murakami) drove with Eric Dollard and Stephen McGreevy up to the transmission line site. The transmission lines are about 1.25 miles long, which makes this the largest scale Tesla-Alexanderson type transmission project in the world.

Part of the lines run adjacent to some power lines, which may cause interference so EPD Laboratories, Inc. may only use part of the lines.

We also drive up to an old seismic mine, which is now under the control of EPD Laboratories, Inc. There are 2 highly sophisticated seismographs, which will be used as part of the data to predict earthquakes 6.0 and above 48-72 hours ahead of time. The other 3 pieces of data is solar flux activity and above and below ground signals, which the transmission structure will receive.

A video will be coming soon explaining in detail what you see in the pictures below. It was very windy so some of the audio is hard to hear, but it will be left in the video so you get the raw uncut version.