Peter, whatever happened with Eric P. Dollard?

[madhatter]

I think Eric is building up an understanding of the math used in his books and the old books of Electrical Engineering. A physical and abstract analysis of Electricity and with this come's the knowledge to engineer it. If the equations used are Oliver Heaviside's, and they accurately describe the Electrical phenomena, then some background information about what they mean is a little helpful . After all, we aren't talking about Quantum Mechanics here!

Thank's for all your work Eric, it is really appreciated and really is starting to bring the picture together. I've got so much reading to do!

Understandable, I just hoped Eric would be above mud slinging though. I'm referring to the reference to "primordial versor space algebra" it's not in my opinion accurate, are there those who view quaternions as a panacea? maybe however it should be addressed in technical terms to avoid the same issue of Beardons misinformation.

The early lectures esp those of Steinmetz are different from the currently taught texts. One has to research the various changes in math that have occurred. Laplace transforms and Dirac delta derivative have replaced the original Heaviside work with little notation of it.

The resurgence of the use of quaternions and bi, oct etc.. are a result of pushing further into quantum physics. This has a direct tie into what Eric is sharing here with the group. admittedly this would be advanced beyond the traditional application Eric is trying to convey, however a deeper understanding of the nature of these longitudinal scalar waves will allow for further development. Eric mentions the power from the square root of negative 1, I won't spoil his fun here on this one however this relation is clearer if....

[Aether]

I think Eric is building up an understanding of the math used in his books and the old books of Electrical Engineering. A physical and abstract analysis of Electricity and with this come's the knowledge to engineer it. If the equations used are Oliver Heaviside's, and they accurately describe the Electrical phenomena, then some background information about what they mean is a little helpful . After all, we aren't talking about Quantum Mechanics here!

Thank's for all your work Eric, it is really appreciated and really is starting to bring the picture together. I've got so much reading to do!

[madhatter]

clarification is needed here because honestly Erics last post is a bit ambiguous and misleading. Not sure if that was his intention or not.

Heaviside operational calculus works but has been somewhat substituted with Laplace transforms. As was quaternions was by Heaviside. To say one is superior to another is really ignorant of the use of each. Quaternions and Octonions which contain the Lye groups are still important in quantum physics.

At the time of Heaviside there was not much use for quaternions and they are difficult to work with. His simplified step functions and operational calculus along with Dirac replaced the use of quaternions in application.

It really comes down to how rigorous you wish to be and which one to use, they all will come to similar results and one may be simpler than the other depending on the use of the function.

The problem isn't the structure of what math to utilize but the theory of what one is doing.

[Raui]

N.F.G. – In Space, Heaviside post..

Direct hit, Mr Dollard!

Bravo!!

Couldn't have said it better myself! One can only hope this will put Beardon's slagging of Heaviside's equations to rest even if it is only the group of people reading this. It's really funny noting the differences between how Heaviside describes electromagnetic phenomena and how my modern 2010 textbook does, Heaviside's description is more intuitive. I thought things were supposed to get simpler as time went on?

My lecturer says in one breath that electricity is the flow of electrons in a wire and then in the next breath says that displacement current is an electrical flow not involving electrons and not even flowing in a conductive material. To me at least this indicates that the fields are the more primary phenomena because we can have electrical phenomena occur without electrons moving in a conductor (aka. displacement current) but when we supposedly have so called electrons flowing through the wires the fields are still present and thus these apparent electrons are a kind of secondary phenomena to the primary phenomena which resides in the fields and thus in space not in the wire. Thank you Eric and god bless you!

Raui

[Sputins]

Wow

N.F.G. – In Space, Heaviside post..

Direct hit, Mr Dollard!

Bravo!!

[t-rex]

N.F.G. In Space, Heaviside

N.F.G. In Space, Heaviside

The lord god sayeth to moses : Thus rose the beast, and it arose as a giant one winged parrot, this hewn of solid plutonium. She delivereth the beast as an idol of worship to her supreme power. The surrounding multitudes casteth off their garments so as to feel the warmth of its radiant tongues of fire. It came to pass that the beast smote the multitudes by burning their eyes and leaving them to wander blind for eternity.

Verily this is the present situation for the science of electricity, just as told in the parable. Oliver Heaviside, a spurned English theoretician, devoted considerable effort toward straightening the path of progress in electrical science. He endeavored to lead the blind out of darkness, but their restored sight was only black and white. The idea of electricity as a flow of electrons in a conductor was regarded by Heaviside as a psychosis. This encouraged Heaviside to begin a series of writings to “de-program the Moonies.” This often utilized “Tragic Tales” to make his idea clear about mathematical futility. “One such tale” is of a young child, “and this child would not smile. So his father beat him with a strap, in an effort to make him smile. But the child would not smile. Later he was eaten by a lion.” This tale is what Heaviside thought about the mathematical system of QUATERNIONS

Quaternions represent a primordial form of a versor space algebra. It is however ultimately vectoral. The system of quaternions was a retrofit of the existing concepts of versor algebra that originally were adaptable to time, this to provide an analogous versor algebra useful for space. It is really not much use for this purpose. Oliver Heaviside despised quaternions, leading him to develop his own space mathematics. The work of J.C. Maxwell was encumbered by his reliance upon he use of the quaternion system. It is this complication with Maxwell that initiated Heaviside’s efforts to “remove the baggage” that encumbered the understanding of Maxwell. Heaviside produced his “vector system” for this effort. He received little credit for his important work, and his famous set of equations are wrongly known as “Maxwell’s Equations”, ask any parrot.

Heaviside’s vector system sought to provide a lucid description to the Maxwellian concept of electro-magnetism, or rather the Heaviside concept of the Maxwellian concept of eelctro-magnetism. That is transverse electro-magnetism. Plancks, or cross product relations But this vector system has no application to longitudinal magneto-dielectricity. But is not this the realm that gave Maxwell his fame? Displacement current, current in empty space, is the Maxwellian concept that leads to longitudinal waves. It is most likely that most of what is thought to be understood about Maxwell’s work is in reality the ideas of others. Absolutely no mention should be made of anything Maxwellian without directly quoting Maxwell himself thru his writings! To study his work in its entirety will take a lifetime. So mute thyself.

The dis-informers, SSX, heap criticism upon Oliver Heaviside for his one sided representation of the works of J.C. Maxwell. Their real motive is to take one off the “Heaviside trail”, but the coyote wants to run that path. Obviously this series of transmissions via internet is in the full “attitude” of Oliver Heaviside. Forgotten in pre-history is the effort of 19th century mathematicians given to space math. Major figures were Grassman, Hamilton, Tait, and MacFarlane. Review of their works provides a better understanding of what has been inherited . Only what Maxwell utilized out of necessity, and Heaviside developed out of deliberation exists today. Longitudinal electric waves are considered non-existent, a complete impossibility. But that is what propagates between the plates of any condenser or between the windings of any transformer, physical realities.

So today we labor under an absolutely one sided view of electricity. It cannot stand upright just as a bird with only one wing cannot fly. The entire misconception has now matured, become “frozen in stone” as an idol of worship to the supreme power of the pedant. In reality it is a monolith of self-edification, taught in every university.

The pedantic assault upon the pioneering efforts of Heaviside, Tesla, and Steinmetz is worthy of closer examination. Two particular characters, supreme pedants sink to the “bottom of the bowl.” One is William Preece of the British Royal Society. Preece championed the entirely lopsided view prevalent in the “misunderstood, untested, and infested with bugs” undersea cable telegraph technology. This errant concept nearly ruined the trans-oceanic telegraph industry. It took the work of Oliver Heaviside to “balance the equation” thereby allowing a working telegraphic system. He did this through His serial writings known as “Electro-Magnetic Induction and its Propagation.” These led to his most important development, the “Telegraph Equation.” William Preece F.R.S. censured the work of Oliver Heaviside and went so far as to attempt to make his own concept a law.

America’s most (wanted) noteworthy pedant is Michael Pupin, of Columbia University. Pupin was a supreme pedant. He repeatedly assailed Tesla with rude attacks. He even went so far as to perform the same upon C.P. Steinmetz. Steinmetz received harsh criticism for his theory of hysteresis, which not only gave Steinmetz his world fame, but also saved the infant electrical industry from ruin. Pupin declared the important transformer equations developed by Steinmetz as un-Maxwell, heretical. But it is these ideas that lay the foundations of electrical engineering. Pupin’s crowning swine behavior is his treatment of Heaviside. Pupin takes Heaviside’s telegraph equation, re-packages it as a transmission concept, patents its implementation, then sells it to American Telephone & Telegraph for $25,000. Long distance telephone is born, with not one word of Heaviside. In final disgust, during the “Einstein Age”, Heaviside removed his furniture from the house and sat on granite blocks, then painted his fingernails pink. Later he was stoned to death by a pack of youngsters.

73 DE N6KPH

[madhatter]

I'll spare the mathematics for the group here. There are nth number of dimensions as needed for any one theory. Strings added one additional and it matched the M-branes theory to the displeasure of the M-brane crowd at the time. Read Lee Smolins work if your interested in the crazy state of strings and where physics has most likely taken a wrong turn.

From my own personal research and study I have come to where wave functions have more to explain than any point particle theory ever could. However the problem is a basic one, all the wave functions in the world won't work for the fundamental quantum nature as it has to move from 3rd to 4th or more. just moving into 3D wave functions is a mind twister, it's hard, very very hard and beyond complex, you start adding in dimensionless fields then your really out there. The issue is simple, point particles are fairly easy to handle in the 3rd and a bit more complex in the 4th dimension, however 3D spherical wave functions and associated 3D spherical wave function interference is not and that's just for the dimension we interact in. adding in a scalar vanished dimension to a spherical wave function just for a single isolated example is incomprehensible enough let alone for a multitude of interacting complex waves.

I think that for the future of physics and a better understanding of the fundamentals we need to delve into the spherical wave function and it's associated higher dimensions. It's is a simpler 'structure' but a very complex one in terms of associating lower dimensional math to it. Hamilton was brilliant in is development of quaternions and it's a shame it was dissected and reduced down due to complexity and lack of understanding at the time of higher order dimensionless fields.

I could be completely wrong too, however I have studied quantum physics and string theory so I can say at least that I'm not ignorant of them. it also helps in seeing where and why some things break down, adding in further complex adjustable parameters and 'tunable' constants doesn't solve the problem either.

Eric knows what he's talking about and has kept it simple, his explanations and equations are simple and work.

[Pinwheel]

I guess orientation would be vectoral. hmmm

[Pinwheel]

Elements of quaternions : Hamilton, William Rowan, (1805-1865) : Free Download & Streaming : Internet Archive

Elements of Quaternions by (I think their creator) WR Hamilton

also this...

Tensor and Versor of a Quaternion - scribd

Therefore my guess for the 4th order of space is...

cm^4 = orientation
cm^-4 = scale


Survey says...!!!
The Price is Right losing horn - YouTube

I should go re-skim Theory of Wireless Power but it's 2am. Tomorrow maybe.

[Pinwheel]

Eric here says "nth order of space" - I wonder how many more there are.

I'm having a hard enough time thinking that there is a 4th. All the while trying to divorce myself from the L x W, or, L x W x H stuff.

Space relations are not well understood in the contemporary engineering world, and misconception abounds. N.F.G. relations introduced by the QRM mystics, such as curved space and 2D, 3D thinking has all but eliminated any real comprehension of the application of the dimension of space to electrical study.

Distance
Area
Volume

Span
Density
Concentration

Derp (?)
per Derp (?)

[madhatter]

If I'm not mistaken the IV - Fourth order space: would be non communicative. with vanishing scalar fields. hence the inability to visualize a dimension outside of ours. We can measure and see the effects of such a thing, though it may make no sense, similar to 2D world watching two circles merge into one while in 3D space it's two spheres in phase moving in thru 2D plane, if one of the spheres orbited the other it would look truly strange to 2D world. the point being 2D would not have anyway to visualize the 3D world that is responsible for what they see.

I noticed that the quaternion multiplication table shows this non commutative property and that is lost with the vector notation since it is commutative.

Eric, I applaud your efforts. This is no doubt a difficult msg to convey when dealing with spacial units and scalar fields that are dimensionless. I may very well be wrong here, I think that the proper equations will show the 'effect' of the scalar field and taking notice of how it is derived and can be manipulated will be key to understanding the nature of electricity and the universe.

There is notable progress being done with spherical harmonics and wave functions as computational power and graphics programs have progressed. although it's being used as a 3D spacial tool it can be manipulated to show the effect of the 4D scalar field on the wave function. Though this hasn't been done, I have taken the task of working thru the eq to do this. to say it's not easy is a massive understatement. fortunately I have the associated graphic math programs for just this task, side effect of business work.

[t-rex]

Space

Space

Our discussion on the theory of electric phenomena will now shift from the metrical dimension of time and develop the application of the metrical dimension of space. As a frontier, space will be treated in an experimental manner. One is cautioned against being, or becoming, enamored to any particular concept of space presented here or elsewhere. The importance of the study of J.J. Thompson, “Electricity and Matter”, and O. Heaviside, “E-M Theory”, volume 1, (introductory chapters), this cannot be over-emphasized. Do your homework. And as said by Heaviside, it is said here; “If you think these are hard to read, well, they are even harder to write (in the front seat of my car).

Greater complexity is encountered in the application of the dimension of space than that of time. Space relations are not well understood in the contemporary engineering world, and misconception abounds. N.F.G. relations introduced by the QRM mystics, such as curved space and 2D, 3D thinking has all but eliminated any real comprehension of the application of the dimension of space to electrical study.

Relations in the dimension of time are ADDITIVE, relations of forward and reverse. Time relations are linear, so to speak, along w versor path in time. Not so in the dimension of space, here it is MULTIPLICITIVE. Time relations are arithmetic progressions, whereas space relations are geometric progressions.

Consider a numerical illustration:

For the time relations, it is;
3 and 3 gives 6

For space relations, it is;
3 and 3 gives 9

Two distinctively different results.

In time it is expressed as;
3 plus 3 equals 6

In space it is expressed as;
3 times 3 equals 9

Taking an alternate approach we have for time, a pair of 3’s, that is, two 3’s. The same for space, two 3’s.

Then it is for time;
3 times 2 equals 6

And for space it is;
3 to the 2 power equals 9

Hence, it can be stated that the time relations are LINEAR whereas the space relations are LOGARITHMIC.

In working with time dimension relations there has been developed a versor algebra, an “algebra of time.” The development of this time algebra is primarily due to the efforts of Carl Proteus Steinmetz of General Electric Corp. (also see A. MacFarlane, “The Imaginary of Algebra”). Versor algebra utilizes a BASE ONE number system, that is, the number ONE raised to a specific power. In common use is the base TWO number system, binary, and the base TEN number system, decimal. But a base one number system seems unlikely, it can only give one. This is exactly what we want in a versor system, as will be shown.

The versor concept applied to time relations has been established in engineering work for practical use, but not so for space relations. The concept of space versor algebra jammed up and seized with what is known as QUANTERNIONS. Development of space versors “finished” with quanternions (see A. MacFarlane “Principals of the Algebra of Physics”) and little else progressed up to the “Theory of Wireless Power” by E.P. Dollard where a space versor algebra is presented. Note that versors are NOT VECTORS.

So as to arrive at an understanding of versor algebra in general it is instructive to consider known concepts of versor algebra for time. Consider a second order time relation. This is given as, the square root of positive one, a seemingly useless statement. An alternate expression is given as, ONE raised to the one half power, let us say raised to the PER TWO power. This is a second order relationship and by definition must give a pair of roots, that is, two distinct values, thus the roots are given as (1) Positive one, and (2) Negative one. We will call negative one an IMAGINARY NUMBER. Both roots, (1) and (2) are more properly named VERSOR OPERATIONS. Their magnitude is unity and they are dimensionless. Therefore, by application to the concept of the additive process, it has now been extended to include subtraction. (plus and minus). We have arrived at an expression for time phase opposition.

Extending these ideas results in a versor expression for fourth order time relations, the fourth root of positive one. This is ONE to the ONE FOURTH power (one to the PER FOUR power). This can be partially resolved into a pair of square roots, each of which have two roots, giving the required four roots. It is given that the square root of positive one produces a pair of roots, that is,

1) Positive 1.
2) Negative 1

Now, in addition, is the second square root, the square root of negative one, this producing a pair of roots,

1) Positive j
2) Negative j
Hereby we arrive at the required four roots produced by the fourth root of positive one, four to the one fourth. These are given as;

0) Positive 1
1) Positive j
2) Negative 1
3) Negative j

Here the concept of the additive process, addition, is now further generalized. There is more than only plus and minus. This versor expression is for time phase quadrature and for time phase opposition. We now see versors as a degree of lead or lag on a given order of time, here in fourth order time. One to the one fourth power gives the four quadrature versor operators. CAUTION, do not view this as 2D or 4D time, this is NOT a VECTORAL system. Further on this is given in the “Symbolic Representation” papers by E.P. Dollard.

The versor algebra here given thus far has been orientated to represent the dimension of time. Versor algebra is based upon degrees or orders of the dimension to which they are applied. The following orders of space, in terms of perceptual understanding begins the degrees or divisions of the dimension of space. The fundamental unit of space here will be the centimeter, or cm.

I - First order of space:
(a) DISTANCE Space to the positive first power, cm.
(b) SPAN Space to the negative first power, per cm.

II – Second order space:
(a) AREA Space to the positive second power, square cm.
(b) DENSITY Space to the negative second power, per square cm.

III – Third order space:
(a) VOLUME Space to the positive third power, cubic cm
(b) CONCENTRATION Space to the negative third power, per cubic cm.

IV – Fourth order space:
(a) Space to the positive fourth power, quartic cm.
(b) Space to the negative fourth power, per quartic cm.

Finally Nth order space.

The (a) group are the spatial relations, and the
(b) Group are the counter-spatial relations. Higher order space, such as fourth order lack definition, it is undefined space. Einstein 4D space, crystal structured? It remains un-defined!

These orders of space can be worked into a simple tale:
I ran out of orange juice, bummer. Now I got to drive a DISTANCE of 15 MILES to the lizard pit (store). Let’s take Rathead, the poodle, along for a chance to get out of the house. Along the way I’ll count the number of poles on that old J carrier line, they have a SPAN of one PER 150 FEET. Rathead has got to stay in the car, that 1000 ACRE AREA of land behind the store is infested with coyotes. They have a population DENSITY of one PER 50 ACRE. This store only sells juice in a VOLUME of half GALLONS. The CONCENTRATION of vitamin C in this juice is one unit daily requirement PER 8 CUBIC OUNCE serving. When considering next the fourth order of space, Rathead begins to bark his head off at some UNKNOWN THING. Stupid poodle, let’s go. Break, more follows on Space.

73 DE N6KPH

[h2ocommuter]

gulp: oh; just a bit excited the words are correct enough.

Hi h2ocommuter,
Congrats on the pickup.

Cheers

Thank you so much. Thank you all for the good reguards.
Oh I have a good grip the book is very well written indeed.

@ everyone, Take the time to Copy everything Eric posts because nowhere in this world will this information ever flow from another persons lips. unless we all get this information documented and varified and take it to the students of the world. grab it while you can.



Zane Muckey

[Farmhand]

Please forgive me for wandering off course so far, I must to let you know I am still in the hunt no matter how far it looks I have strayed....

Please enjoy 2 links
Video The electrical engineer "in the Nicola Tesla folder"

Zane

Hi h2ocommuter, I'm not sure of what the motor/generator that you have will
output, but you're description of what is shown in the drawing is wrong.

Turning the page to the right so the generator is at the top as it is in you're video.

The left side is AC (clearly marked A) and the right side is DC (clearly marked D),
This is further confirmed by the way coils are excited directly by the currents
on the left side (AC). It's all explained in the text, so don't believe me.

This is a plan showing how currents of high frequency and potential can be
obtained from a DC generator or a AC generator of low frequency. The DC
generators on the right show that the main generator is likely a DC generator
as well having the input chopped by commutator the output can be AC by the
looks of it.

I think what you have is an induction motor or generator. I think currents can
be taken from the armature when it is used to generate and DC is supplied to
the armature when used as a motor, I think but I cannot be certain on that
point. But the Tesla drawing is self explanatory.

Congrats on the pickup.

Cheers

[t-rex]

The End of Time

The End of Time

This dimension of time, and its dimensional relation to electric phenomena, thus far has been the primary discussion. This metrical dimension, in seconds, and its relation to the substantial dimensions of Q, Psi and Phi has yielded a set of fundamental electrical relationships. As of yet the dimension of space is regarded as a frontier, occult from the human mind.

The idea of the dimension of time is a relatively modern development, beginning with the “age of clocks” in Europe. Out of this evolved the epic time dimensional works of J.S. Bach, 1685 to 1750. Following Bach the Newton – Liebnitz system of mathematics allowed for an analytical treatment of the dimension of time. The development of a base one number system, such as given by A. MacFarlane, and a system of electrical dimensional relations by O. Heaviside, led to the epic time dimensional works of C.P. Steinmetz 1965 to 1923. Steinmetz writing in “Theory and Calculation of Transient Electric Phenomena” stands as an algebraic analog to Bach’s last work, “Die Kunst der Fuge”, BWV – 1080. Time in both forward and reverse, as well as multiple hysteretic time frames, within a complimentary – symmetrical geometric construct are portrayed in both the works of J.S. Bach and C.P. Steinmets. A persistent rumor exists, starting with Edison’s attempts to make contact with the dead. An unknown Christian organization contracted Steinmetz to develop an apparatus to allow viewing in present time the life of Jesus Christ in his time. Quite a story but no possible verification. However, in the realm of fiction, it was noticed that an old 1963 Outer Limits episode titled “Borderland” portrayed a layout like Steinmetz may have used in his G.E. laboratory. It is unfortunate that few, if any, have, or will follow the footsteps of the giants, they are too deep. Most will, without a thought, lap up the sweet neuro-toxins administered in liberal doses by the pendants, mystics, and dis-informers. Coyotes however are hard to trick and thus are hard to poison. We will continue to follow their path, hard as it may be.

Up to this point in time these time sequential internet transmissions have been intent in presenting, in a hypo-complex fashion, the primary electrical relations previously relegated to the tongues of parrots with only one wing. The only unique dimensional relation has been the Planck, Q. The Planck is defined as the undivided quantity, Q, of the total electric induction. In a Biblical sense an analog is, “and in the beginning…” Every other substantial relation found its derivation in the Planck. A pair, Phi and Psi were arrived at by a divorce, four more by direct interaction of a substantial dimension with the metrical dimension of time, these being E, I, W, P, and finally two more Z and Y, were derived in a pair of paths, one path thru the metrical dimension of time, the other path thru direct relations of the primary substantial dimensions of Phi and Psi. These give us the ONE and a following set of EIGHT.

It is important to remember not to become enamored to our models, or the models of others, with regard to the nature of the inductive process, or the nature of the medium which engendered it. These constructs, here and elsewhere, are illustrative, not concrete, but that is not to say that concrete constructs should not be sought. The primary intent and effort here is the establishment of concrete engineering formulation applied to the development of specific electrical apparatus. It is goal orientated much like the actions of large aggressive reptiles. Too bad they are extinct. What one does after that big blast off the bong, or the Nth beer in the bar, is considered a personal issue, not for publication or enforcement.

Concluding this sequence of time dimensional relationships the following tables are given.
Table 1
The One: The undivided quantity of electric induction.
Given as: The Planck, Q, in Weber - Coulomb.

The primary pair of dimensions:

One: The total dielectric induction.
Given as: The Coulomb, Psi, a primary dimension.

Two: The total magnetic induction.
Given as: The Weber, Phi, a primary dimension.

The first set of secondary dimensional relations:

One: The displacement current.
Given as: The Ampere, I, in Coulomb per second.

Two: The electromotive force.
Given as: The Volt, E, in Weber per second.

The second set of secondary dimensional relations:

Three: The energy.
Given as: The Joule, W, in Planck per second.

Four: The activity (power).
Given as: The Watt, P, in Joule per second.

And finally the pair with dual derivation:

One: The impedance.
Given as: The Ohm, Z, in Volt per Ampere, or in, Weber per Coulomb.

Two: The admittance.
Given as: The Siemens, Y, in Ampere per Volt, or in, Coulomb per Weber.

Also, throughout the dimensional relation for time is given as:

The complex frequency in Neper – radians per second, v.

And thus closes our system of electrical units in a dimensional relation with time.

Table 2

DIELECTRIC ELECTRIC MAGNETIC
-------------- Planck ----------------
Coulomb -------------- Weber
Ampere -------------- Volt
Siemens -------------- Ohm
-------------- Joule ---------------
-------------- Watt ---------------
(Neper – radian per second)

73 DE N6KPH