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  #421  
Old 05-16-2012, 09:45 AM
David G Dawson David G Dawson is offline
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Quote:
Originally Posted by jake View Post
Thank You,
and understood



6SN7: prices vary on ebay $5-50 does anyone know what the difference in brands is regarding tubes. What do I want, what do I stay away from??

I was waiting for a reason to work with tubes..

Jake,
Think you know I am heavy into this stuff because of my age.
The 6SN7 is a Twin Medium Mu Triode which means you have a dual or parallel path if needed.
Would suggest any brand would be Ok but I do have preferences and RCA Radiotron, Sylvania, Raytheon, Philips, Mullard come to mind but as long as the Vacuum Tube has been tested and certified working then, no problems.
I have 3 in my stash and these were bought on Ebay and probably cost 5$ each.
Appreciate Eric giving us this information as I too am following.

Smokey
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  #422  
Old 05-16-2012, 10:09 AM
David G Dawson David G Dawson is offline
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Rebuilt Extra Coil

The rebuilt Extra Coil is now working and the only thing different is 5 more turns and in harmony with the Primary and Secondary as all are now wound CCW (14awg and 55 turns).
Am amble to pick up the AM Radio signal from 20" away from the Extra Coil but best at about 8" away.
AM Station is 2 Kw and 7 kms away due south.
Signal is louder without the top load tin can capacitor and louder again from turn # 17 on the Secondary.
A hand near the Extra kills the signal and also touching the top of the Secondary.
Have tapped the turns at the top of the Extra but was unable to tune.
Will now make taps on the Secondary for tuning purposes.
Going to set up the integrated Primary condenser to see if I can't get the Primary involved.
Will also do some probing with the Sig Gen.

Smokey
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  #423  
Old 05-16-2012, 02:05 PM
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QRT on T-Brown

If T-Brown is such a sweet heart why do so many here in America despise him? If I multiply everything by k, then I do cause my own problems, since as a "street person" I invariably get involved with criminal, violent, or mentally deranged people. And since I have no recourse they turn around and take me for a ride. This will never change, Roy Stolti and Landers, Eric Johnson and my dog, etc, etc. This is the American way of doing business Edison States, take what you want without regard and then violently lie about it. No more on this.

QRT DE N6KPH
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  #424  
Old 05-16-2012, 06:27 PM
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Symbolic Operators; Steinmetz to Pythagoras, Backward in Time: (Part 1 of 4)

(1) In the previous series of writings on the “Bolinas Antenna” a rudimentary log-periodic operator was developed,





This operator is a span of logarithmic periods. The span is a finite section taken from an infinite log-periodic series of log-cycles. To the right of the span is an infinite progression growing larger and larger, to the left of the span is an infinite regression shrinking smaller and smaller. The arch-form of the log-periodic series is the broadside log-periodic array developed in the previous writings on the Bolinas Antenna, it can be seen looking at this structure the appearance of expression for infinity.
This is an intrinsic characteristic of a log-periodic geometry. The log-periodic sequence is a scaling factor of proportionality and serves as an innate property of human perception, hence the “Deci-Bell”.



(2) The human scale factor in the dimensions of sound is a span from 32 ft to 3 inches as expressed by the pipe organ. This span represents the sequence of human versor positions in the infinite log-periodic sequence of the musical universe. This relates directly to the original Pythagorean concept of music, the expression of man's POSITION in the cosmos.



(3) The span of keys on the standard music keyboard is a log-periodic sequence. There are 88 individual keys or “notes” these representing unit versor positions of the various musical scales. Each fundamental span from the Tonic C to the Octave C, is a single log-periodic cycle called the octave cycles on the standard music keyboard.



The entire span of human hearing is about 10 octave cycles. Each cycle, or period, on the music keyboard is divided into 12 subdivisions, that is 12 keys constitute one octave, Fig 2.
A variety of versor systems derive from this octave span of twelve unit divisions. In symbolic form the octave is given by



where

For the fundamental scale of the Pythagorean Lydian mode or C major diatonic mode,

n = C, D, E, F, G, A, B

each versor system or music scale is a division of 7 keys or unit versor positions, Figs 3 & 4.

















(4) This symbolic representation by versor operators is of a most complex form. The first complications is that the unit versor positions are not distributed in a uniform fashion, Fig 4C.

Neither linear, nor logarithmic, and exist in an uneven connection of sub-versors, Fig 5.

Another complication is that a pair of dimensions exist rather than only one. Here exists both the dimension of space as a wavelength, and the dimension of time as a pitch. The product of this pair of dimensions, length and one over Time, is the dimensional relation for velocity, a constant. Hence a velocity versor, and a similar relation to the light-second of Steinmetz. The product of two terms equal to a constant is a hyperbolic function, zero pitch – infinite wavelength, and zero wavelength – infinite pitch. This relation is shown by the logarithmic curve that is characteristic of a rank of organ pipes.

Moreover another complexity is a third dimension, that of the human mind. The mind regards the log-periodic span of one octave as once complete cycle, a circular function, whereas the log-periodic cycle is a hyperbolic function. Hereby the complete symbolic, or versor, operator for musical expression has a complex interrelation in three distinct dimensions

(I) Mind (Melody)



(II) Time
} (Velocity)
(III) Space
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  #425  
Old 05-16-2012, 06:28 PM
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Symbolic Operators; Steinmetz to Pythagoras, Backward in Time: (Part 2 of 4)

Because of this complex situation the symbolic operator for music has never been fully resolved. What has developed is a distributed correction factor resulting in the musical intervals becoming a bit out of tune. A complete Pythagorean cycle of unit versor positions results in the terminal pitch being a bit high in frequency. This represents a distortion factor known as the “Pythagorean Comma”,









(5) The various geometric forms established by log-periodic networks, transient or oscillatory electric waves, and musical scales, engender the concept of a hyperbolic versor operator. The primordial elements of this operator are to be found in the writings of ; Dr. Alexander Macfarlane, University of Austin, Texas;



And of Arthur Kennelly, Edison General Electric.



The symbolic operators of antiquity serve as templates of a hyperbolic versor operator, and hence enter the subject.

The hyperbolic versor operator exists in contra-distinction to the circular versor operator. The familiar circular versor operator was employed by Steinmetz but the hyperbolic versor remains an enigma. Steinmetz rejected the hyperbolic versor, but then Pupin rejected Steinmetz's circular operator, the usual sequence of rejection, ask Oliver.



(6) The circular operator is expressed in one of two forms;

Cycles per Second, F,
or Radians per Second,

And the hyperbolic operator is expressed in one of two forms;

Decibels per Second, dB,
or Nepers per Second, u.

Radians and Nepers are the proper expressions for use as exponents of the natural log based epsilon, Epsilon is defined by the relations





where
.

This infinite series gives a pair of numerical values for Epsilon,







(7) In contemporary engineering mathematics the circular and hyperbolic functions are derived by means of the natural log base. The circular functions are derived from the infinite series as powers of the square root of negative one



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  #426  
Old 05-16-2012, 06:28 PM
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Symbolic Operators; Steinmetz to Pythagoras, Backward in Time: (Part 3 of 4)



The hyperbolic functions are derived from the infinite series as powers of the square root of positive one,







The functions of the natural log base, , introduces the limitation that operation is only possible in Cartesian relations, that is, a system of rectangular co-ordinates or the octaves thereof. This log-base and its related functions, sin, cos, etc. are incapable of expressing numerical versor divisions not derived from the log-periodic series of the octave,





and it's versor operators,





Therefore a division of three units such as encountered in three phase electrical systems cannot be expressed as exponents or functions of the natural log base, . The poly phase operator must first be reduced to its Cartesian equivalents. The three phase operator is given symbolically as









In Cartesian equivalents it is

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  #427  
Old 05-16-2012, 06:29 PM
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Symbolic Operators; Steinmetz to Pythagoras, Backward in Time: (Part 4 of 4)







where j is the Steinmetz quadrantal operator.



(8) Expressions for the depth of penetration of electro-magnetic induction into metallic substances involve an octic (8) versor relation. This gives rise to a pair of somewhat incongruous results. From the versor expression



is derived the unit octic (8) versor of the lag in metallic back E.M.F.



However in vector Cartesian form the symbolic expression for an octic is,



where

and the derived unit octic lag of 45 degrees is given by



where j is the steinmetz quadrantal operator.

Here evoked is the idea of Oliver Heaviside that the vector and the versor should not be intertwined. The octic versor is developed in the “Generalized Electric Wave” by E.P. Dollard.



(9) Steinmetz ardently opposed higher order versors and reduced everything to Cartesian form. To Steinmetz the quadrantal versor of Cartesian expression “therewith closes the field of algebra”. “Thus within the range of algebra no further extension of the system of numbers is necessary or possible, and the most general number is

a + jb.”

The engineering form of the versor operator was born by Steinmetz but was killed at birth, frozen into vector Cartesian form.



(10) Polyphase versor operators however continued to develop into a symbolic form known as “symmetrical components”, and related versor operators have come to be called “sequence operators”. This symbolic representation is a natural extension of the Steinmetz “Roots of the Unit” in “Theory and Calculation of A.C. Phenomena”. This also is reduced to Cartesian expressions but is worthy of further study with the objective of developing polyphase versor operators. The system of symmetrical components originated in a paper before the American Institute of Electrical Engineers by Charles Fortecuse. This paper was published in the transactions of the A.I.E.E. Volume 37, 1918, page 1027. The title is, “Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks”. A later article is presented by C.F. Wagner and R.D. Evans in the “Electrical Journal”, April, 1928, page 194, titled, “Symmetrical Components”. This evolved into a book by Wagner with the same title as the article. More will be written on this later.



(11) The versor operator is born of mathematical impossibilities. This can be noticed in historical references discussed by A. Macfarlane in his papers. This evokes the often stressed statement by Oliver Heaviside that “mathematics is an experimental science,” it certainly was in the time of antiquity. The quadrantal versor operator employed in the Steinmetz method is derived from a mathematical impossibility, the square root of a negative number. The “Roots of the Unit” give rise to versor operators derived from a meaningless mathematical statement, a base one log system. Moreover the log-periodic operator in its entirety is numerically equal to infinity. It is hereby evident that the generalized symbolic versor operator, the principle objective in this series of writings, will not be born of accepted notions of mathematics. This operator is of a strange world, such as expressed by Lewis Carrol's “Thru the Looking Glass”. This looking glass is Johannas Kepler (1571-1630) and on the back side is the world of mathematics that preceded him. It is a return to the very origin of numbers, mathematics, and the inscrutability of the ideas of Nikola Tesla. This path leads directly back to Pythagoras of Samos.





(12) Aristotle (384 BC – 322 BC) gives an account of the Pythagorean philosophy in his book “Meta Physics”. Here Aristotle makes the following statements:

(I) “The Pythagoreans, as they are called, devoted themselves to mathematics;”

(II) “They were the first to advance this study, and having been brought up on it they thought its priciples were principles of all things”.

(III) “Since the principles of numbers by nature are the first, and in numbers they seemed to see many resemblances to things that exist or come into being”;

(IV) “Since again, they say that the attributes and ratios (Logos) of the musical scales were were expressible in numbers, since again, the Pythagoreans say that the attributes and ratios of the musical scale were expressible in numbers”;

(V) “Since, then, all other things seemed in their whole nature to be modeled after numbers, and numbers seemed to be the first things in the whole of nature, they suppose the elements of numbers to be the elements of all things and the whole heaven to be a musical scale and a number.”

Here is an expression of a generalized symbolic operator. This concept led to a symbolic operator developed by Robert Fludd (1574 - 1637 AD), it is known as the “Divine Monochord”.

This “instrument” serves as a versor analog computer for the Solar System, and in a strange way also for the Tesla Magnifying Transciever. It represents a musical hyperbolic versor operator. Beginning with the Earth at gamma, , GROUND, the Monochord progresses thru the four elementals, the Sun, Moon, and the known planets, and moreover thru the unknown planets, terminating on g, the planet Pluto. At the tip of the Monochord the hand of God, AERIAL, sets the cosmic constant (a.k.a. one over c square) and thereby sets the cosmic pitch of the Divine Monochord. What is important to notice here is that not only did Uranus, Neptune, and Pluto evade notice in this era, but their very existence would have been decried a disruption in the “Universal Order” that had already become an institution. Yet these three unknown planets are implicit in the Divine Monochord.



(13) The Pythagorean point of view is that numbers are like operators, expressed as (music) ratios (logos), or in pure symbolic forms.

Their use for counting is a secondary consideration. The present era use of numbers bears no resemblance to that of ancient times. Today it is numeration not numerology.

On a practical level this is why the ideas of Nikola Tesla are so incomprehensible to the modernistic way of thinking. It is a given in the “Mind of Today” that Tesla was a “little funny in the head”, this in part because of his manner of co-ordinating his lifes movements with numbers divisible by three. His “refugee room” number during his tacit exile was 3327. It is very important to consider that this threedom would not sound at all strange, not in the least, to Johannas Kepler. Entire chapters on the power of the number three were written prior to Kepler's time. Moreover Nikola Tesla received his education in the classics at Graz, the very location in which Kepler taught geometry centuries before. Here is where Kepler discovered the mathematics of the Solar System. This explains how Nikola Tesla developed his incredible creative power. Tesla gained the ability in his mind to transform directly from the cosmic level to the Earth level from , resulting in a physical manifestation, the working apparatus. His ability to carry out his objectives is derived from the hermetic traditions of Ancient Aegypt, not from pendantic technical training. It can be said that the inability of the modernist to understand Tesla is not because of technical complexity but because of Divine Simplicity. Moreover the modernist has a deep seated pathological contempt for any pre-Kepler concept of a harmonic universe particularly when expressed in a numerological form. This odious animosity for Tesla's methodology is of such force that even the military and industrial organizations are denied the work of Nikola Tesla. See Vassilatos, “Secrets of Cold War Technology”, introductory chapters.



(14) In closing on the subject of the symbolic operators of antiquity is an ancient era equivalent to today's “Theory of Relativity”. In the universe of human cultures that inhabited this Earth thru the eras of ancient times it was generally considered that the Sun was the center of things, the major heavenly bodies rotated around it. It was considered a heliocentric universe. Great cultures grew upon this understanding. Then it came to pass in the second century A.D. Someone came up with the notion of geocentric relativity. This someone was Ptolemy (90 A.D. – 168 A.D.). His theory of relativity stated that all heavenly bodies now move relative to the Earth as the center, hence geocentric relativity. Geocentricity would poison astronomy for fourteen centuries following its inception. It became a plethora of correction factors, adjustments, and the like, rendering the advance of astronomy impossible. Geocentricity was a pioneering philosophy for the Dark Ages. Geocentric relativity was to become the law of the church with capital punishment. Bruno was burned at the stake for “practicing” heliocentricity and Galileo was exiled for finding that the planets indeed revolved around the Sun. The heliocentric philosophy of Copernicus was banned in this era with the same fervor that the philosophy of Tesla is banned today by the existential modernists. Upon the unification by Kepler of the geometric, heliocentric, and related Pythagorean concepts there could be no more opposition to a heliocentric Solar System of a unit form existing in the generalized heavens.



(15) Modern relativity and its autistic child quantum mechanics are historical analogs to the condition of Ptolemy and the institution that followed him. In modernistic relativity it is now that one over c square is the center of the universe with time and space revolving around it. The quagmire of correction factors and systems of distorted co-ordinates developed into a schizophrenic institution known as quantum mysticism. Even beyond geocentricity, this is verily a pathological anthropocentricity, a lemming march into the Kurtzwiel grand singularity of universal annihilation. It is to be made law.

73 DE N6KPH

Reference:

1) “Music of the Spheres” - Jamison

2) “Le Modular” - Corbisier

3) “Harmonograph; A Visual Guide to the Mathematics of Music” - Ashton, Wooden Press.
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  #428  
Old 05-16-2012, 08:39 PM
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Regarding the "TESLA'S BIG MISTAKE?" article

Hi,

I recently came across an article, titled "Tesla's Big Mistake?". I guess this is nothing new for you, but it was for me (from now on, I will assume that you have read that article). My first reaction after reading it was like "OK, I'll have to give up". But after some reflection upon what the article actually states, I realized that as it indeed gives a reasonable explanation of why Tesla's transmission weren't wireless (in the sense of "flying through air") as well as how single-wire transmission might work (due to some old article), it does not give a satisfying explanation (actually NO explanation) on why EM waves would follow an insulated wire (never heard of any EM wave property that would enable such a behaviour). Therefore, what I think, is that the setup that the author provides in order to discredit(?) Tesla technology, actually describes a way of investigate the existence and propagation of what could be longitudinal waves.



The above image presents that setup (for details about it, see the article itself, linked above). What also came into my mind is that the conic shapes applied onto the cable (as shown in the picture) resemble the conic shapes used to propagate longitudinal waves in the air (like megaphones, etc). So, making this "spontaneous" observation, I suspect that this could result in generation of longitudinal waves. HOWEVER, I don't know if I can trust that article. I really would like to make that experiment, but that includes some work/money (not least on getting something that could generate GHz signals), therefore, I would be very happy if you could give me some input on what you think about this (before I waste/spend days/weeks and money).

Cheers,
fefish
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Last edited by fefish; 05-16-2012 at 08:42 PM.
  #429  
Old 05-16-2012, 09:02 PM
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The writing "Tesla's big mistake" is a misrepresentation of Tesla's work. The diagram shown has nothing to do with Tesla, but is actually a strange wave called a boundary wave. Ernst Guillemen discusses this in the introductory chapter of his second volume of "Communications Networks".

73 DE N6KPH
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  #430  
Old 05-16-2012, 09:29 PM
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Eric....

I have been quite interested lately in the concept of the ring circuit, or a circular waveguide. Through directional coupling of the wave to the guide, unidirectional propagation can be achieved.

One could inject two frequencies, obviously creating side band frequencies (beat frequencies). These could be phi ratio apart for example. the resultants would also be ratios of phi. Because these circularly and uni directionally propagate, they encounter their products over and over creating an ever expanding sequence of frequencies, much like your log periodic antenna.

what do you think of this topology over a finite section of log periodic design?
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Old 05-16-2012, 10:47 PM
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A circular waveguide is a linear system it does not generate sidebands. What it does do is there's a mode called TE02 which exhibits some extremely bizarre propogation characteristics and defies excitation. If a circular resonator is brought into a complex oscillation it will produce an un-musical enharmonic series, much like the waveforms produced by a drum. No log periodic series exists here.

73 DE N6KPH
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  #432  
Old 05-16-2012, 11:07 PM
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Versor Operators

Mr. Dollard, I really appreciate the recent versor operator transmissions you have given out lately, especially the recent clarification of the Circular and the (enigmatic) Hyperbolic type versors. I think I am starting to see how they may alleviate the cumbersome use of calculus differentials with relatively manageable algebra and trigonometry. I get the feeling that if one were to get a good grasp on the versor operators they would be able to "see" electrical phenomena that would otherwise be mathematically occluded from view, or at least connect seemingly disjointed phenomena. Which may be paramount in understanding the works of Tesla, Steinmetz, ect.

I have also been looking into "projective geometry" and "counter space algebras" developed by Rudolf Steiner, George Adams and Lawrence Edwards which appear to parallel certain elements of the log periodic antennae you are discussing.

On a "side note", I am getting the impression from personal experiments that Impulses and Dampened waves (oscillations) have strange effects on living subjects and may actually be dangerous to play around with if experimented with unscrupulously. There may very well be a connection with Lakhovsky/Rife and these generally unused waveforms. I also get the impression that continuous waves don't exhibit the same effects that the prior produce. It would seem that continuous waves are more useful for industrial use (power transmission, communication, ect.) rather than for use with living systems.

I would like to thank you for your continued interest in sharing your unique and fascinating information to everyone here on the energetic forum,

Garrett M
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Last edited by garrettm4; 05-16-2012 at 11:20 PM.
  #433  
Old 05-17-2012, 03:46 AM
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Eric,
A physics professor told me something very interesting last night He described an experiment where he measured the acceleration due to gravity with a precise pendulum apparatus both outside and inside the pyramid at Giza and found that there was a ever-so slight difference between the two. He said he couldn't think of any reason why it would be so I believe he must have meant that it was smaller inside the pyramid since you could easily argue that there was material under the pyramid making it higher. This lends credence to the cosmic ray theory of gravity as you spoke about in the 2007 lecture at the SFTS. Oh while I'm on the topic of SFTS have you heard about the 16 hours worth of footage that they have of you lecturing? I would really love to watch all that footage..multiple times.

Also I've come to an interesting insight into mutual inductance and that is that mutual inductance and magnetic reluctance are one and the same;
Henry = Weber/Ampere = L
Mutual Inductance = 1/L = M
Reluctance = Ampere/Weber = M
I'm going to meditate on this and see what interesting things I can take from this relationship but thought I'd post it so that others can too see this correlation. Interesting thing about reluctance is that it is actually the magnetic equivalent of electric resistance. So here we have the relationship similar, but not the same as, reactive and real power flows. L is when the energy is stored in the space (storage/return, related to induction factor?). You say that M is when energy is transferred but it can also be thought of as magnetic resistance so (dissipation/production, related to power factor?). Any input would be much appreciated as mutual inductance is something which is still mysterious to me.

Edit:
Quote:
Originally Posted by T-rex View Post
A circular waveguide is a linear system it does not generate sidebands. What it does do is there's a mode called TE02 which exhibits some extremely bizarre propogation characteristics and defies excitation. If a circular resonator is brought into a complex oscillation it will produce an un-musical enharmonic series, much like the waveforms produced by a drum. No log periodic series exists here.

73 DE N6KPH
I'm just thinking out loud here but could you go with an elliptical ring circuit then with the ratio of the abscissa and ordinate being that of the golden ratio?

Raui
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Last edited by Raui; 05-17-2012 at 03:54 AM.
  #434  
Old 05-17-2012, 04:29 AM
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Quote:
Originally Posted by Raui View Post
Oh while I'm on the topic of SFTS have you heard about the 16 hours worth of footage that they have of you lecturing? I would really love to watch all that footage..multiple times.
When I spoke to George Gaboury, SFTS operator, on 4/30/12, he said that he had a target date to have all of Eric's work cleaned up (quality editing) and released one month from that date. If 5/30/12 rolls around and I still don't have copies posted to youtube, I suggest that anybody interested in these videos politely email the SFTS and let George know that you can't wait to see Eric's presentations. He doesn't sound like he is squatting on them, just unwilling to publish something like the previous lecture that is full of poor audio and random missing parts. I feel like he is an honest person.

Quote:
Also I've come to an interesting insight into mutual inductance and that is that mutual inductance and magnetic reluctance are one and the same;
Henry = Weber/Ampere = L
Mutual Inductance = 1/L = M
Reluctance = Ampere/Weber = M
I'm going to meditate on this and see what interesting things I can take from this relationship but thought I'd post it so that others can too see this correlation. Interesting thing about reluctance is that it is actually the magnetic equivalent of electric resistance. So here we have the relationship similar, but not the same as, reactive and real power flows. L is when the energy is stored in the space (storage/return, related to induction factor?). You say that M is when energy is transferred but it can also be thought of as magnetic resistance so (dissipation/production, related to power factor?). Any input would be much appreciated as mutual inductance is something which is still mysterious to me.

Raui
Yeah, I am beginning to feel like I have confusion about mutual induction. For example, in the SBARC Ham Radio video with Chris and Eric, Chris starts trying to explain the workings of a transformer by stating that the magnetic flux is for the most part directed into the magnetic material of the transformer and hardly any flux from the primary cuts the windings of the secondary. In my mind, I see the magnetic flux lines of this mutual induction starting as a small bubble arising at the primary and having to inflate as a balloon until it sees the rest of the ferromagnetic core. According to Faraday's theory that all magnetic lines of force must be closed upon themselves, these lines must cut thru the secondary winding as they expand and contract.

How can a line of force that is closed upon itself instantly appear within the magnetic path of a transformer without cutting the lines of the secondary? For Chris's explanation to ring true with me, the magnetic lines of force must travel down the magnetic path until they meet where they connect, but this would mean that they, for a brief moment, are not always closed loops... Maybe Eric can help clarify.

Dave
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  #435  
Old 05-17-2012, 04:51 AM
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Thanks for the update Dave! Good to hear that they're being helpful.

As for the problem with transformers I see that the transfer of energy between two coils could potentially be carried by a dielectric field possibly. If you have a core magnetized then you have the dielectric lines at 90 degrees and it is these lines which could influence the secondary. Here is a article which gets one thinking; SCIENCE HOBBYIST: Right Angle Circuitry

Raui
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  #436  
Old 05-17-2012, 06:10 AM
Farmhand Farmhand is offline
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Hi Dave and all, Here is a document I was shown by somebody or found, can't
remember, anyway here it is and it is no doubt more useful to you guys who
speak the language than it is to me.

https://skydrive.live.com/?cid=32a91...DCCE17F%211335

If it seems useful feel free to download it and make it available from another source.

Umm it seems this document is secured so I can't seem to copy and paste any of it.

Here's a small quote.

Quote:
"This paper shows that the emf generated in the secondary of a transformer is
the result of flux lines that begin outside the core and "cut" the secondary on
their way to engage the core. This represents a new wrinkle to classical field
theory which has traditionally asserted that no flux activity exists outside of
an ideal core."
Just personally, to me it makes no sense that "new" flux lines would just
appear inside the core. It would seem to be a contraction or gravitation into
the core maybe.

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Last edited by Farmhand; 05-17-2012 at 06:14 AM.
  #437  
Old 05-17-2012, 12:17 PM
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t-rex t-rex is offline
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Peter, Whatever happened with Eric P Dollard?

Peter, Whatever happened with Eric P Dollard?

This question appeared here on the E.G. forum, Peter, Whatever happened with Eric Dollard? He has just vanished like a fart in the wind. Why?

Someone arrived in Lone Pine from the Annenburg Foundation. He was sent to talk to Eric Dollard. This person tickled my ear with great promises, golden futures, and how I was such a wonderful discovery in his life. He tells me that he will take my driveshaft into safe keeping. Both him and the driveshaft are never to be seen again. And it is said Eric brought it on himself.

This is the life story of Eric P Dollard. And of course, Eric always brings it on himself.

A person shows up at Landers, he "wants to learn" from me and "help" run the station, so he says. Once inside the story changes and I am harassed out of my own installation. His pit bull horns my female coyote and 7 puppies show up at the wrong time. The station turns into his hell hole and Olin Bales finally got it.

The story is the same again and again, Eric just keeps making his own problems. True, by involving myself with humans.

A scientific analysis would be massive and is beyond the scope of this E.G. forum except maybe the "American Ruling Class" group. I look around me and see a nation of absolute swine, disgusting human filth, arrogant blobs of putrid pork resin thrusting about in 6 wheel trucks with a homicidal rage. Emblematic skulls and axes abound on every surface. It is a nation of death.

What you see of my efforts on this forum is the product of two patrons: Captain Don Hughes, and R. Joshua Reynolds. Captain Hughes supported all the Symbolic paper writing, now on the internet, and cemented me into lifetime employment in the S.F. Bay Maritime industry and provided me with a Navy ship. Freedom from the dumpsters. Josh Reynolds funded my aquisition of the Corolla, an important improvement in my life, now I could find work and had a definite home, like a tiny Navy ship. Freedom from the C*nt. These two important individuals are both dead now, there are no more like them on earth anymore, they went the way of the type 80 rectifier tube.

Ultimately it is only the papers and the Corolla that have survived. All else is gone. The loss at Landers is overwhelming and has left me disabled. Now why would I want to engage in another "Help themselves to Eric Dollard". So this is what ever happened to Eric P Dollard.

73 DE N6KPH
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  #438  
Old 05-17-2012, 02:19 PM
wyndbag wyndbag is offline
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Sorry about your losses

I only know you through your borderlands tapes and this blog. The experiments and principles you showed on those borderland tapes were very informative. You impressed me as a leader and a person who was both knowing and competent. My interest in this subject matter died out 22 years ago. Like Rip Van Winkle I awoke and through the googled world, I found out you were homeless and living in out their in the Owens Valley. What a waste I thought. What a shock. I always believed smart disciplined and talented people like you would have good jobs and the material rewards to go along with their creativity. I am one naive guy. Perhaps its time to go back and re-read the Wilhelm Reich story. He is a tragic figure and it seems you and he are following parallel paths in some respects. I don't believe he had to go the way he did. His vision took him far out on a limb and that made him vulnerable.
When he got to that point, what did he do? He did not come back to the relative safety of the tree trunk. He remained vulnerable and got screwed.

Please don't do like Reich. I appreciate your gifts and talent and your temper. Your are welcome to come stay at my house in the Midwest anytime. I love learning from you and I believe you have much more to teach. Thank You.
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  #439  
Old 05-17-2012, 05:45 PM
Lambda Lambda is offline
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Your PRC-47

Hi Eric,
I'm very appreciative for all of the great information you have been posting lately, nearly ready to get back to work on all of this stuff, hopefully less than a week. I know you have been putting a vast amount of time into your writing as it takes me quite a while to digest everything, again thank you!

For the secondary & extra coil, is there other coax that will work well, although it would be a compromise, as the RG-316 is quite expensive. I already have several rolls of RG-8 & RG-8/U (low loss for VHF/UHF) that are extra since installing my tower here, and I recall you preferred to have a hollow secondary. Also have ~1000' of Commscope quad-shielded RG-6 CATV cable (coax is labeled as PR2712 F6SSVV 7461614), but I don't believe that'd be suitable.

Have you been back to John's in Morro Bay, there has been a PRC-47 waiting for you there since April 20th that I purchased on ebay. The previous owner I bought it from claims it is in full operating condition (stated it worked fine and he used it until the wind took his antenna down). John sent me pictures of it, it looks to be in good condition physically. I hope it get's you back on the air at full output power and perhaps I can work you someday on 40m CW.

Cheers,
Mike

73 DE WX9HV
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  #440  
Old 05-17-2012, 05:51 PM
garrettm4 garrettm4 is offline
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Mutual Induction

I had some thoughts on the topic Dave brought up:

The best way to look at "Mutual Induction" (dielectric or magnetic) is FLUX LINES INTERACTING ON OTHER FLUX LINES.

The permeability of the space surrounding the flux lines acts as a sort of positive or negative pressure so they "flow" to an area where they are at less "concentration", higher permeability yields more "free room" to the flux lines while creating a greater density of them at the same time. Permeability and permittivity are SPATIAL co-efficients they relate to how many lines fit in a section of sq cm "space", so if a section of space (i.e. aether) is modified by gross matter its properties change as well. Flux lines naturally repel one another, so they will always require a certain amount of "space" between one another, here is where permeability and permittivity work their magic, they either cause the "repelling distance" to decrease or they cause the space modified by their property to be "enlarged" either way the same result manifest more lines per sq cm.

Side note, I don't believe that the circular loops of magnetic induction ever "open up" (or need to "close") they either expand to infinity or reduce to a singularity these being the limiting cases of its motions, they can however become incredibly distorted and take almost any shape that is a line closed upon itself.

Back to the transformer, the way I look at a transformer isn't necessarily flux lines cutting the wire alone but also a sort of "super position" of flux lines interacting.

For example, if we plug in a 1:1 transformer into the wall, the voltage from the wall divided by the reactance of the primary will yield an inrush current this in turn will cause an associated H field (intrinsic field) to be formed if there are any materials present other than aether, then we will get a B field (induced field). Since flux lines have to be formed around a bounding metallic surface carrying a current then the H field is existent around the wires looped around the core, the H field then interacts with the permeability of the core and induces a secondary field, the B field, this field lags the H field and this interaction is called hysteresis. Here we already have two sets of flux lines, the loops around the metallic conductors carrying the current and now a group of flux lines outside the bounding wires in the core. This is where the "super position" concepts is helpful.

The flux lines do move in and back out of the core despite what may be thought. As the intrinsic field falls the induced field follows here the flux lines shrink and return back to a singularity, which ideally is in the center of the original current carrying conductor. In the core, reduction back to a singularity isn't possible in the direction of the flux flow, here we run into a complex issue of the interaction of the induced field with the intrinsic field, which may be too lengthy of a topic to go over.

From this point, the alternating flux lines of the primary do indeed cut the secondary windings. If a load is put across the secondary a current proportional to the induced voltage divided by the load resistance will manifest. This will in turn produce a second H field and a second B field as well. The fields of the secondary counter rotate with those of the primary. Both exist at the same time, but the net action of each on the core reduces the cores available capacity for storage and thus reduces the impedance of the primary, thus if a load on the secondary increases; the impedance of primary reduces further, and vice versa, if the load decreases the primary impedance increases.

Mutual induction is all about the interaction of flux lines on one another, in the case of a transformer it's a longitudinal flow of magnetic energy moved through a permeable medium, the core. The counter rotating fields push on one another to transfer the energy across one distinct coil to the other.

Side note#2, there are two distinct forms of hysteresis, one associated with the velocity of the electromagnetic wave (speed of light) and another associated with the molecular delay of magnetization or polarization of a permeable or permittive medium (domain alignment) this is why we have distinct differences with the "intrinsic field" and the "induced field".

I may be off in left field but that's how I currently understand how a transformer works.

Garrett M
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Last edited by garrettm4; 05-18-2012 at 12:54 AM.
  #441  
Old 05-17-2012, 06:31 PM
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madhatter madhatter is offline
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hopefully this will display properly to read. here's a quick numerical layout of the coils in Tesla's Colorado Notes. assume some error as these are ever changing notes and not actual measurements of existing structures today. took some digging and I feel this is the latest in his notes on the coils and their builds.

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  #442  
Old 05-17-2012, 07:21 PM
TrueUnity TrueUnity is offline
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Harmony with nature is goal. True unity.

Eric,

I live in Zagreb in Croatia and you and your coyote are welcome at my house at any time. Wife and I have 2 kids, 3 dogs and 4 cats and there is always space for truth and wisdom seekers and their friends. We will manage somehow.

I have been watching this thread for some time and what seems to me is that all of you are a pioneers of a Tesla's world. This technology is common cultural heritage of all men.

One day (not so far away) this sumerian system of global fear and death will be transformed into paradise with our efforts. Systems of control are already collapsing.

There are no small men, all of you are capable of creations like Tesla, and that is just a start. Even Henry Adams, grandson of John Quincy calculated (I think around 1909?), when he applied his "Phase rule to history" that by the end of 2012 human thought will reach critical mass and there will be more scientific breakthroughs than in all history by now.

I will quote Bill Hicks:

"All matter is merely energy condensed to a slow vibration. We are all one consciousness experiencing itself subjectively. There is no such thing as death. Life is only a dream and we are the imaginations of ourselves. "

And Gandhi:

“Even if you are a minority of one, the truth is still the truth.”

So, I just wanted to say thank you to all for your work and truth vibrations.

Life energy accumulated here will bring us to the truth and the truth will set us all free.
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  #443  
Old 05-17-2012, 07:54 PM
TrueUnity TrueUnity is offline
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Electric universe

Maybe this documentary will be useful to some of you:

Thunderbolts Of The Gods - YouTube
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  #444  
Old 05-17-2012, 07:58 PM
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t-rex t-rex is offline
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Mutual Inductance

Mutual Inductance is a strange problem. This term is a depository for many notions, and has been my biggest dilemna in formulating a four energy travelling wave equation. I solved this at Landers in an analog form, but I am unable to recover my notebooks, yes the someone showed up to help Eric again. (Think that's how the PRC-47 from Landers came up on e-bay, goood buddies don't you think?)

To use reluctance as an expression for mutual inductance is not such a good idea. In a way this is like equating reactance to resistance. Mutual inductance evokes a space quadrature relation, a space versor. Examining the inner workings of a transformer is helpful in conceptualizing mutual inductance. In general mutual "Enductance" exists outside the windings, self inductance exists inside the windings.

It is postulated that magnetism is a flow in the Aether. This flow defies normal conceptions of space. Associated with this flow is Faraday's electro-tonic state, a primordial idea of electro-motive force. The notion of electro-motive force is no less mysterious today than it was in Faraday's era. Maxwell was really of no help either, and today's parrots sing the tune. And to make this even more complex is the electronic interaction. We can form no picture of "Magnetism" and it is futile to know of its ways by throwing more equations filled with quaternions and partial derivatives at the mystery. An entirely new direction must be taken.

Relating magnetism as a flow, i, in Amperes, expresses its force. The total quantity of it is given to be the total number of lines of force, Phi. But what lines of force, what do they look like, can I see one on youtube?

No matter what direction is taken soon the barbed wire grabs hold. Somewhere between J.J. Thompson and C.P. Steinmetz is the answer as to what is a line of force. Steinmetz says that there are ten to the 8 power of them in one volt-second, and hence it can be said that one individual "strand" is a unit Phi, or line of magnetic induction. Volt-second is "magnetic charge".

Mutual enduction exists in a counter-spatial relation with self induction. The two are space conjugates. Here defined is each,

1) Self induction, L, Henry
2) Mutual Enduction, M, per Henry

L represents space and M represents counterspace. M is a form of "magnetic capacitance". The more space between the wires, the more L exists in Henrys, the less space between the wires the more M exists in per Henry. These two quantities are mere reciprocals, that is, until they are differentiated.

The dimensions of L is centimeter square and the dimensions of M is per centimeter square. The dimensional operator or first order derivative is the dimension of per centimeter. Hereby dimensionally for distributed constants the distributed inductance is Henry per centimeter, or just centimeter, and the distributed enductance is per Henry per centimeter, or per centimeter cubed. These dimensional relations establish the travelling wave of magnetic inductionin the metrical dimension of space, LM. The dimensions of this travelling wave of induction is LM equals per centimeter square or a second order differential in the metrical dimension of space. This gives rise to a hyperbolic function with respect to distance along the propogating structure such as a transformer winding. Th square root of LM is the hyperbolic angle, Nepers per centimeter.

Exactly analogous conditions exist for the dielectric field, where the propogation is now given as CK. Both LM and CK are here given on a per centimeter basis. That is now L is Henry per cm, and etc. While this is customary the distinction is confusing. Lumped constants, and distributed constants are not the same dimensions. Further compounding the confusion is that the permeability, Mu, is also dimensionally in Henry per centimeter. It is a Labyrinth! Break, more to follow
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  #445  
Old 05-17-2012, 08:51 PM
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madhatter madhatter is offline
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Quote:
Originally Posted by T-rex View Post
Mutual Inductance is a strange problem. This term is a depository for many notions, and has been my biggest dilemna in formulating a four energy travelling wave equation. I solved this at Landers in an analog form, but I am unable to recover my notebooks, yes the someone showed up to help Eric again. (Think that's how the PRC-47 from Landers came up on e-bay, goood buddies don't you think?)

To use reluctance as an expression for mutual inductance is not such a good idea. In a way this is like equating reactance to resistance. Mutual inductance evokes a space quadrature relation, a space versor. Examining the inner workings of a transformer is helpful in conceptualizing mutual inductance. In general mutual "Enductance" exists outside the windings, self inductance exists inside the windings.

It is postulated that magnetism is a flow in the Aether. This flow defies normal conceptions of space. Associated with this flow is Faraday's electro-tonic state, a primordial idea of electro-motive force. The notion of electro-motive force is no less mysterious today than it was in Faraday's era. Maxwell was really of no help either, and today's parrots sing the tune. And to make this even more complex is the electronic interaction. We can form no picture of "Magnetism" and it is futile to know of its ways by throwing more equations filled with quaternions and partial derivatives at the mystery. An entirely new direction must be taken.

Relating magnetism as a flow, i, in Amperes, expresses its force. The total quantity of it is given to be the total number of lines of force, Phi. But what lines of force, what do they look like, can I see one on youtube?

No matter what direction is taken soon the barbed wire grabs hold. Somewhere between J.J. Thompson and C.P. Steinmetz is the answer as to what is a line of force. Steinmetz says that there are ten to the 8 power of them in one volt-second, and hence it can be said that one individual "strand" is a unit Phi, or line of magnetic induction. Volt-second is "magnetic charge".

Mutual enduction exists in a counter-spatial relation with self induction. The two are space conjugates. Here defined is each,

1) Self induction, L, Henry
2) Mutual Enduction, M, per Henry

L represents space and M represents counterspace. M is a form of "magnetic capacitance". The more space between the wires, the more L exists in Henrys, the less space between the wires the more M exists in per Henry. These two quantities are mere reciprocals, that is, until they are differentiated.

The dimensions of L is centimeter square and the dimensions of M is per centimeter square. The dimensional operator or first order derivative is the dimension of per centimeter. Hereby dimensionally for distributed constants the distributed inductance is Henry per centimeter, or just centimeter, and the distributed enductance is per Henry per centimeter, or per centimeter cubed. These dimensional relations establish the travelling wave of magnetic inductionin the metrical dimension of space, LM. The dimensions of this travelling wave of induction is LM equals per centimeter square or a second order differential in the metrical dimension of space. This gives rise to a hyperbolic function with respect to distance along the propogating structure such as a transformer winding. Th square root of LM is the hyperbolic angle, Nepers per centimeter.

Exactly analogous conditions exist for the dielectric field, where the propogation is now given as CK. Both LM and CK are here given on a per centimeter basis. That is now L is Henry per cm, and etc. While this is customary the distinction is confusing. Lumped constants, and distributed constants are not the same dimensions. Further compounding the confusion is that the permeability, Mu, is also dimensionally in Henry per centimeter. It is a Labyrinth! Break, more to follow
I like how you get me thinking
New puzzle pieces to play with, capacitor plates and mutual inductance. need to pencil a few things down.....

Oh and definitely hyperbolic functions within Clifford algebra for this. new frontiers...
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  #446  
Old 05-17-2012, 09:25 PM
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madhatter madhatter is offline
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a quick thought, will try later tonight.

The magnetic field of parallel plates of a capacitor is similar to the M of the transformer core. build a core as a stacked capacitor, mutual capacitance should create a magnetic field, add transformer windings and see if it induces voltage. either thru an AC signal on the capacitor plates or thru the windings to see if it induces the capacitor. simple enough to test on the bench. I'll report back later...
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  #447  
Old 05-17-2012, 09:40 PM
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Mutual Elastance

The dielectric field exists as a conjugate relation to the magnetic field. Like the magnetic field it can be expressed is self inductive and mutual inductive components, these in a space vs counter space and space quadrature existence. Here given is the self capacitance and a mutual elastance. In general the self capacitance is outside of the winding space, and the mutual elastance is inside the winding space. As with magnetism here is a space versor.

It is postulated that dielectricity is a tension in the Aether. Again it seems to defy notions of space, such as if a line of force has no broken end in space then how can it propogate? It cannot propogate if it did not already exist. Another bottomless pit. Associated with this tension is a displacement current, a notion of Maxwell, but it is like EMF, it is an idea. Relating dielectricity as a tension, e, in volts expresses its force. The total quantity of dielectricity is again considered to be the total number of lines of force, Psi. What lines of force.

The trap is the same as that encountered with mangetism. J.J. Thompson seems to think there are 1000 of these lines of force terminating upon todays electron. The electron hence contains 1000 Thompson Aether corpuscles. Heretical! Here the quantity of dielectric induction in lines of force is given in Ampere-seconds and this established their number as the "dielectric charge" just as the Volt-secind defined "magnetic charge".

Self capacitance is in a counter-spatial relation with mutual elastance. The two are space conjugates. Here defined is each,

1) Self Capacitance, C, Farad
2) Mutual Enductance, K, per Farad

C represents space and K represents counter space. K is a form of "dielectric inductance" but not in the same way as L & M. Complications exist here in description since magnetism is intrinsically spatial and dielectricity is instrinsically counter spatial. It is not so easy to just "step through the looking glass".

The two quantities are reciprocal relations, one is the inverse of the other, again, until differentiated.

The dimensions of C are one over c square (the "hand" on the monochord). This is thus second square over centimeter square and hence the dimensions of K are c square or centimeter square over second square. The dimensional operator or first order derivative is the dimension of per centimeter. Hereby dimensionally for distributed constants, the distributed capacitance is Farad per centimeter or second square per centimeter cubed, and the distributed elastance is per Farad per centimeter or centimeter per second square. Denoting now, as with the magnetic component, the distributed capacity as C and the distributed elastivity as K, the travelling wave of dielectric induction in the metrical dimension of space is CK or per centimeter square. This is a second order space differential. This gives a hyperbolic function with respect to distance along the propogating structure. The square root of the product of distributed constants, CK, is the hyperbolic angle, or propogation constant, Nepers per centimeter.

Considering now both fields of induction, the magnetic and the dielectric, there exists a pair of propogation constants, the square root of LM, the magnetic propogation, and the square root of CK, the dielectric propogation. Both distributions are a hyperbolic function of distance but now cannot properly be called single energy. Both the magnetic and dielectric propogations are time scalar, no time delay exists but the distribution in space is instantaneous. It may be postulated that the mutual magnetic and mutual dielectric components L and K are not affected by metallic obstruction but now the metallic is rather a conduction through its counter spatial dimensions. Break, more to follow
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  #448  
Old 05-17-2012, 10:34 PM
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Gestalt Gestalt is offline
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Mutual Induction & Counterspace

The following is some of my personal dimensional brainstorming. I think in images, so I am going to provide as close of visual imagery to approximate my imagination as possible. I think I my need to hire myself a graphic artist.

The fabric of space IS COMPOSED of counter-space. Aether is this weird thing because it is coutnerspacial. However if counterspace is manipulated/polarized just right it manifests itself into space "things". Matter and all tangible energy in space comes from and is a polarization of counterspace.

It is very difficult to talk about space without referring to counterpace. Counterpace is the structure (archetype) upon which space itself is manifested/constructed. Space and counterpace are like two unique sides of the same coin, the sides may be different, however they are inherently linked. This can make conceiving of these things and then trying to articulate them, rather challenging. All duality frames have two different ways they manifest and thus their unit measurements are also be different. Although they may be referring to the same coin. Or in math speak conjugates.

Space being in cm
Counter-space being in per-cm

Raui and myself talked to each other in circles (or was it squares!?) about the concept of duality and how it relates to just about everything.

Nature is not governed by laws, rather it is governed by mutually interactive reciprocities.

Thesis x Antithesis = Synthesis

Counterspacial phenomena can be thought of as a process of folding inwards infinitely. Spacial phenomena can be thought of as a process of folding outwards.

Personally I believe this folding process occurs vortexially, however I doubt it matters much at this point.



In any case back to Mutual Induction. As Garrett said it is FLUX LINES INTERACTING ON OTHER FLUX LINES.



This is sort of how I envision mutual induction might work counterspacially. Mutual Induction is a flow or transfer of energy. Remember the standard magnetic field lines "L" is the storage of energy. The following wormhole represents the transfer of energy from one magnetic line to another. It probably happens orthogonally as well since 90 degrees appears to be a magic number like phi. So in a way energy disappears from Point A in space into counterspace, re-emerging from counterspace into space at Point B.



On another note.

Talking to Jim Murray defined Reluctance as the inverse of Inductance.

Magnetic Reluctance - how much current can be sustained with flux
Magnetic Inductance - lines of flux you can sustain to create current

So building on this with Raui, in a similar way
  1. Mutual Inductance = Amperes/Webers = 1/L = M
  2. Self Inductance = Webers/Amperes = Henry = L
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Last edited by Gestalt; 05-18-2012 at 02:16 AM.
  #449  
Old 05-17-2012, 11:39 PM
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OK interesting, lets work this out.
a quick and dirty core was made of 4 large flat washers, 3.5" dia with a 1" hole in the center, layered with poly plastic. 22ga mag wire wound 4 turns in traditional manner. 2nF capacitance on the core.

applied an .5v 1kHz sine wave to the 'capacitor plate' core and picked up a AC signal on the windings, applied same .5v sine wave to windings and picked up the AC signal on the core. nothing in this setup is optimized it was simply to see if the magnetic field would induce voltage in the windings and vice versa, it does.

So now the question is how?, esp the capacitor arrangement.

going to build a another core with the capacitor plates arranged vertical and see what that does to the magnetic field.

the sine wave was feeble in getting a response, a square wave would be best, however the signal generator I have doesn't output square, need to build a full bridge circuit and re-test.
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  #450  
Old 05-18-2012, 12:13 AM
garrettm4 garrettm4 is offline
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Electric, Magnetic & Dielectric Circuits

Here's some thoughts from Mr. Vladimir Karapetoff, "Electric Circuit 2nd Ed [1912]:



Notes, the "electrodynamic" could be said to be the electro-magnetic or "electric" circuit, the electrostatic is equivalent to the dielectric circuit.

In the "magnetic circuit", reluctance is the equivalent of "magnetic resistance" and is closely related to Self-Inductance NOT Mutual-Inductance. Reluctance is the RECIPROCAL of Permeance, which is the equivalent of "magnetic conductance". Thus, reluctance can be seen to be TURNED 90 Degrees in the circuit, series, as opposed to Permeance which is in parallel (or shunt). (note, when you encounter "reciprocal quantities" they generally represent a 90 degree rotation in the physical circuit, this represents a transformation of parallel to series or vice versa.)

Reluctance is the measure of opposition a medium or body and its geometric configuration, present to the flow of magnetic flux lines, and can be looked at as the analog of resistance in an electric circuit. The reluctance of a uniform magnetic path is proportional to its reluctivity, ρ, and length, l, and inversely proportional to its cross-section, A.



Permeance is the ease or lack of obstruction a medium or body and its geometric configuration, present to the movement of magnetic flux lines, and can be looked at as the analog of conductance in an electric circuit. The permeance of a uniform magnetic path is proportional to its permeability, μ, and cross-section, A, and inversely proportional to its length, l.



Reluctance and Permeance are used to help calculate for SELF INDUCTANCE, and as far as I am aware, NEVER for mutual inductance directly. (note, reluctance and permeance are generally used in a "ohms law" type proportional relation with magneto-motive force and phi, where phi is one maxwell or one "line". The flux is the "current" the mmf is the "potential" and reluctance is the "resistance" and permeance is the "conductance"; mmf = reluctance * phi or phi = mmf * permeance)

Mutual inductance is the NET affect each coil's flux has on one another. (It could be thought to be a LONGITUDINAL transfer of energy via magnetic flux lines pushing on one to the other.)

So in conclusion it can be seen that mutual induction relates to LINKAGE of flux-on-flux. NOT reluctance or its reciprocal permeance, which relate to self induction. Whereby reluctance and permeance notably relate to the length, cross-section and relative permeability of the magnetic flux path, and consequently, to the total storage capacity of the magnetic circuit in question. NOT to the LINKAGE OF DISTINCT FLUXES of two or more coils.

Pulling from "Allied's Radio Data Handbook", circa 1943:

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Mutual Inductance

The mutual inductance of two r-f coils with fields interacting, is given by



where



(Personal note, you measure the two coils in SERIES NOT PARALLEL; for the AIDING measurement, both coils are in series with windings in the "same" direction, for OPPOSING measurement, both coils are in series but windings are in "opposite" directions.)

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References:

Allied's Radio Data Handbook [1943], Page 7

Vladimir Karapetoff
The Magnetic Circuit [1911], Pages 7 & 9
The Electric Circuit 2nd Ed [1912], Page xii


Side Notes:

Interestingly, with M we have flux loops pushed "flat" between two surfaces and with C we have lines terminating on two surfaces, it can be seen that both fluxes are positioned in a sort of counter space, or reciprocal space, where C relates to storage and M to transfer, where the respective lines are at 90 degree angles to one another and where more lines placed in a smaller "space" equates to a larger value of both M and C.

Mutual-inductance may relate to "counter-space" due to the "compression" of flux loops, the more compressed the loops are against one another the more "push" they have on one another and thus the more tightly coupled the coils are. Oppositely the less "compression" or more space the loops have between each other the more self-inductance present in the individual coils. This presents two limiting cases; A) 100% M (transfer of energy) with 0% L (storage of energy) and B) 0% M (transfer of energy) with 100% L (storage of energy) existent between two distinct coils.

The relationship between L & M (with two distinct and separate coils) is described by the "Coupling Coefficient, k".

Again, pulling from "Allied's Radio Data Book":

________________________________________

Coupling Coefficient

When two r-f coils are inductively coupled so as to give transformer action the coupling coefficient is expressed by



Where



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Hope this isn't off the mark,

Garrett M
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Last edited by garrettm4; 05-21-2012 at 02:33 AM.
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