Electromagnetic Coils

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The author has discovered the torus knot with a loop/twist ratio approximating the Golden Ratio has a right angle relationship between its loops. This occurs only when the torus hole radius is four powers of the golden ratio smaller than the torus major radius. Any references to prior art, presently unknown, would be appreciated. Thank you world.

Flat Circular Coils

Circular Coils in harmonic coupling

Intel's power-transmission demonstration between two magnetically self-resonant loops. This is not inductive coupling, and measures with energy-contours of the nuclear near-field, therefore, the coupling-efficiency falls off quickly --up to ten feet of power-coupling is known to date. Please contact this author with any expanded details. Photo credit: Mauricio Freitas.

This is very new work, even for the social awareness of pop-science. The incentive for this newly discovered effect[1] is toward proprietary development, and not generally released, save for public announcements and demonstrations (See: Near Field Resonance Time-line).

The illustration depicts the prototype built and demonstrated by Intel. The left coil is one driven loop –with an outer coiling connected to itself as a closed loop. The right coil set is also one active receiver loop, which has the light bulb connected in series with that loop. The extra coiling of the right receiver coil is also a closed loop mounted near the receiver loop. This pair of Circular Coils serve as power-coupling antenna of 70 watts when at optimum resonance.

The frequency needed for coupling of the prototype coils illustrated was 10 megaHertz with another notch at 20 megaHertz. As the coils operate at their self-resonant magnetic harmony (with no detectable EM signal carrying the power transfer), the coupling is essentially through drawing power from the receiver coil that is resonating sympathetically within the magnetic field set-up by the transmitter coil.

The current needed to establish the coupled, self-resonant one-loop pairs is low, as the resonance operates in quiescence. As receivers are excited within the near-field of the transmitter, more current in the transmitting coil is drawn to balance the load, supporting any number of receivers within device capacity. However, all receivers must remain close (within a few feet at the maximum) for optimal performance and maximum power transfer.

See also

  1. newly discovered effect: See Near Field Resonance Time-line for press release excerpts and links (2007 through 2012). Marin Soljacic (MIT), and applied science prototypes described in the category of this wiki: Nucleosonic_PsiFi

Flat Spiral Coils

Fig. 1 & 2. Nichola Tesla's U.S. Patent 512,340 Flat Spiral Coils

Monofilar Flat Spiral Coil

The flat spiral coil creates a magnetic field with poles above and below the spiral plane. See Figure 1.

Bifilar Flat Spiral Coil

Bifilar refers to double windings, per Figure 2.

If flat bifilar spiral coil windings are connected in series the self-capacitance of the coil, created by neighboring windings, is dramatically reduced, enabling higher frequency resonance. This is explained by Nichola Tesla in his US Patent 512340 Coil for Electromagnets (Tesla flat spiral) of Figure 1.

However, if the bifilar coil circuits are wired to create opposing magnetic fields in a reverse-series connection then the resultant inductive load of the coil is decreased proportional to the cancellation of the magnetic fields. Moreover, it is conjectured that the resultant inductive qualities would be dependent upon the electromagnetic configuration of the local environment.

Multifilar(?) Flat Spiral Coil

Cell-phone wireless power receiver, by tuned, magnetic resonance. © TDK

Magnetic resonant power transfer has sparked a race in the electronics industry for applications. See Near_Field_Resonance_Time-line. July 9, 2012

Superconducting bifilar spiral coil

Used in SQUID devices to map a terrain of magnetic quanta.
Recent progress in measurement allows the superconducting SQUID element to serve as a parmetric amplifier.


Dipolar Solenoidal

Fig. 3A. Magnetic Field of a Solenoid Original POVRay code © 2006 S Paul Nylander

A dipolar solenoid is the most common type electromagnetic coil, consisting of a simple helical winding. Dipolar refers to the dual poles of a magnetic field, the north and south poles. North and south poles conveniently appear at the ends of a helical winding along a cylinder, as in Fig. 3. The magnetic field of a summation of the magnetic flux wrapping a conductor is envisioned in the closer inspection of Fig. 3B.

The POVray illustration of Fig. 3B depicts where flux lines intersect a plane through the coil axis. The geometry of the flux is created by equations modeling magnetic properties.

Code for this POVRay rendering is found at groupkos.com/science2/library/coils/solenoid/

Fig. 3B. Magnetic field-apparent is the summation of each conductor's local field. Original POVRay code © 2006 S Paul Nylander

Spherical Dipolar Solenoid (Early 1900s German Science)

This special coil produced a green glow. More pending.

Flat and Solenoidal Resonant Pair

Fig. 4. A flat-spiral Tesla coil centered on a long cylindrical solenoidal-winding.

Fig. 4 illustrates a flat-spiral Tesla winding (upper) as a primary winding at the center of a fine-wire-solenoid of thousands of turns as the secondary winding. The primary is a short, cylindrical winding in the lower device. The solenoid windings appear as the solid cylinder in both devices of Fig. 4, due to the fine gauge of wire used to create maximum ratio of primary-turns to secondary-turns.

The secondary of both devices is terminated at the ends on a spherical conductor. At the high operating voltage of a resonant Tesla coils, the system resonant energy is coupled with the dielectric moment of the ambient environment (surrounding air volume), while an electric arc between the spheres would be a 'punch through' of the dielectric insulation (air) by a plasma conductor (spark filaments) that form within the surrounding air's free ions.

Consider that a tuneable, RF inductive furnace heating-coil would suffice the primary of a formidable Tesla coil within a few kilowatt power range. The power amplification concept by Tesla refers to the high-Q gain afforded by a resonant condition applied to a power envelops. A tuneable, RF inductive furnace would allow live-tuning of the resonant peak of the device for maximized high-voltage per any one device/environment.

Conical Solenoidal

The GRLC Hyperresonator is a project from the insight of Glenn Roberts of Australia. Conical cones with tips to the center of a magnetic core per the illustration oscillate with a second pair (not shown) forming an X pattern of cones. The non-linear effect of the conical winding inductance is anticipated to enhance, perhaps enable, the formation of a scalar vortex, per se, at the device core. The author assumes this an enhanced design of the MAGVID hyperresonator built by the late genius, Stefan Marinov.

Project details are hosted at this wiki in the GRLC Project

A US Patent for a device that provides magnetic levitation which can be positioned within an XY plane by duty cycle control of two pairs of dual, point-to-point conical coils; four total, arranged as a cross with points inward (See Fig.) The patent states that a conical coil has variable inductance per turn along its length, and this attribute enables the simulation of a monopole.

See Google Patents: U. S. Patent 4,874,346

Reflections by the wiki Admin

Scalar enticement of a "virtual monopole particle" may be conceived by thinking about a conical coil brought to its natural, self-resonant electromagnetic frequency as a harmonic oscillator.

A conical winding at self resonance finds a conflict. The inductive magnetic dynamics creating a resonant condition with the larger coils near the wide base of the cone, if brought to resonance, will operate at a frequency which is past the resonant notch of the smallest coils toward the tip of the cone. Therefore, IF a self-resonance is found, it exists with a phase-lag variance within its spectral signature. The inductive lag of the conical coil, spanning a set of frequencies per coils with various harmonic frequencies, will create the a traveling ring-to-ring inductive stress (upon a simultaneous harmonic envelope of a magnetic resonance). Per modern radio transmitters in use outside of the United States at least, are the cross-beam RF transmitters, which create an output by a rotating dissonance between RF-coupled geometric surfaces only a few feet across. The emission dynamics are akin to the dynamics of nucleophononic mediated quantum transitions, an effect predicted by Frank Znidarsic —a hypothesis/conjecture supporting the current chaotic Ring Amp logic ring oscillator project. Consider this science project device to be a nucleo-phonon sniffer –the sonic-resonant-notch of the Coulomb field, not your everyday resonance your parents generation taught. Think: How to smell a BEC in your harmonic gizmo --and control it.

So as the thought-picture-cave is revealed deeper:

A sinusoidal waveform of a self-resonant conical winding would center on the section of rings providing the most conservancy for the energy envelope. The resonant waveform would contort with harmonics away from pure sinusoidal. Wave-shaping of the driver-current of a resonant coil (pulse-driven-harmonic-resonance, verses natural resonance) as the addition of an exponential slope over time, would create a zone on the cone surface that moves from ring-to-ring, at the rate of the exponential slope over time.

Differently said, a triangular wave summed with the harmonic waveform, and forced into the resonant envelop as a pulse-driven excitation, will create a scalar stress wave as a traveling ring on the cone surface, moving along the axis of the cone. The direction of motion along the axis of the stress-wave in the hosting medium (copper conductor) is determined by the sign of the slope.

The geometric configuration of harmonic cones excited by the rotary exciter circuit by [[:category:|GRLC Project]] of Glenn Roberts]] would entice a voltage signature in the center, variant from the voltage signature at the base of the coils. This is the voltage pattern traveling on either side of the stress-wave through the molecular lattice of copper. The stress, or lattice-strain wave, is the magnetic domain counter part of the electrical domain example of a strong magnetic slowed on its fall down a copper pipe, because it induced circular current in the pipe, leading and following, within in the pipe walls as the magnet fell through the pipe.

A moving magnetic ring, in the magnetic domain, induces a leading/trailing voltage signature in a dielectric in proximity with the moving stress-wave in the conductor. At harmonic resonance, the charge separates to a voltage difference at either end of the cone, within proximal dielectric media.

DonEMitchell 11:26, 12 October 2013 (MDT)

Football coil

The football coil is made as dual conical coils, base-to-base. Induction varies along the length of a conical coil, as the diameter of each coil loop varies along the length.

Tesla's designs include a football coil.[1] Fig. 1 shows a Tesla-style football-coil transformer by MrfixitRick (flicker.com) as a secondary coil of fine-gauge wire with a heavy primary winding.

Fig. 1. A Tesla football-coil transformer, © MrfixitRick (flicker.com). All rights reserved.
Source: http://www.flickr.com/photos/mrfixitrick/3909084238/in/photostream/

See also

Tripolar Solenoidal

Fig. 3. A magnetic tripole solenoid and conjugate fluid vortices. © 1999 J. L. Naudin[2].

The tripolar solenoid consists of windings that share a common axis, or core, usually cylindrical, but with half of the coiling wound oppositely from the other half. This creates a similar pole at each end of the cylinder, and at the center, where the two coils meet, a stronger opposite pole.

Figure 3, by J. L. Naudin[3] is an image of iron fillings showing the pattern of the opposing magnetic flux of either coil half. The dual-vortices of the left half of Fig. 3 is suggestive of Naudin's of concepts embraced by his The Bipolar-Vortex Generator/Thruster Project.

Caduceus Coil


A 7-Loop Caduceus Coil Illustration

Povray illustration, source code by DonEMitchell

Anomalous Properties Measured by J. L. Naudin

Scalar Transmiter
By J. L. Naudin, who has done the best available (known) work in public profile on Caduceus coils.

Associated with the Rod of Aesculapius of ancient Greek origin, the Caduceus coil is typically a winding on a cylinder in opposing bifilar arrangement.

The caduceus coil may be made with insulated wire wound on a cylinder, beginning in the middle of the wire length from one end of the cylinder. Each half is wound along the cylinder in opposite directions to make "X" crossings of the wire on opposite sides of the cylinder.

The caduceus-wound coil is known for having low values of inductance over a large range of frequencies when used in an alternating current circuit. The oppositely and geometrically wound magnetic coils cancel magnetic flux created by the windings, therein somehow canceling the voltage phase-lag typical with an AC signal in an inductive element. Simply put, the Caduceus-wound magnetic coil behaves like a resistor in an AC circuit, when the current frequency is within the large range of resonant frequencies of the coil. (See Moebius Resistor for a capacitor that has only resistive characteristics at certain frequencies.)

Anomalous effects in inertial mass deviations during current changes in the caduceus coil have been reported, as well as a one-dimensional line of information regarding the cancellation along the axis of the cylinder. This one dimensional line seems capable of recreating the original current "canceled" by a another coil which is critically aligned upon this line with the first, as is a pair of LASER cavity mirrors aligned to a critical precision.

More Caduceus Links

Rod of Aesculapius
Caduceus Experiments Zamandayolculuk.com
  • THE ORIGINS OF THE MEDICAL CADUCEUS: Snakes are familiar symbols of healing to modern medical personnel because of their presence on the medical caduceus. The medical caduceus has its origins in WWII, when medics used it as a symbol for a flag of truce. But its association with medicine goes back even further than that to ancient Greece where the snake entwined upon a walking staff was one of the accoutrements of the healer-god Aesculapius. The Aesculapian staff has often been confused with the caduceus, the heraldis wand used by Hermes. Both were probably symbols of truce in war-time, but the Aesculapian staff entwined by only one snake is regarded by Classicists as the true symbol of the profession.
  • CrytaLinks.com: Caduceus (kerykeion in Greek) is a staff with two snakes wrapped around it. The caduceus is a symbol of commerce and is associated with the Greek god Hermes. It was originally a herald's staff, sometimes with wings, with two white ribbons attached. The ribbons eventually evolved into snakes in the figure-eight shape. In modern times it is often mistakenly used interchangeably with the Rod of Aesculapius (particularly in the United States), although the two symbols have distinct and unrelated meanings. - Wikipedia

Caduceus Coils in Esoteric Arts

Toroidal Windings


See also
Toroidal inductors and transformers Wikipedia.org


The toroid winding passes through the hole of a torus surface multiple times over part or all of a toroid surface.

Fig. 5

The toroidal coils create a magnetic flux that is mostly circular, joined to itself, inside the toroid's circular tube. No poles are external to a toroidal winding. The toroidal windings pass through the hole in the same direction (see Fig. 5, the red direction) to create the mostly internal toroidal flux. Note that to form a helix around the torus creates one current loop-winding roughly equivalent to a 1:X torus knot. Any helical winding on a torus will therefor have some component of a poloidal flux, created by a winding around the major circumference of the torus. Higher degrees of entanglement of the helical winding with its earlier windings create various ratios of poloidal flux patterns (north/south flux above/below the torus plane) against toroidal flux pattern that is linked inside the helices as a ring without external flux.


Poloidal windings are wound around the major diameter, the long way around, of a toroid (see Fig. 5, the blue direction). The most common use is in large experimental devices attempting to create thermo-nuclear fusion, such as a Tokomak. The poloidal windings are used to shape the plasma within the unit, attempting to contain and compress the plasma, in combination with toroidal windings, toward sufficient plasma compression to ignite a fusion reaction. The poloidal coils add a magnetic flux that is dipolar, with poles above and below the torus hole.


See U.S. Patent 6961024 Transmitting and receiving apparatus (supertoroidal)

A supertoroidal winding consists of a wire wrapped around its own length, and that wrapped around itself again, and that assembly wrapped on a toroidal form.

Multi-Circuit Toroidal

A multiple circuit toroidal transformer in a sub-woofer electronics module.

Segmented, multiple circuits on a toroidal ferrous core are often found as a toroidal transformer, with primary and secondary windings, or more, on the same core.

Toroidal Transformer Poynting Vector by constant314

By Constant314 (Own work) CC0 via Wikimedia Commons

This figure shows the half section of a toroidal transformer. Quasi-static conditions are assumed, so the phase of each field is everywhere the same. The transformer, its windings and all things are distributed symmetrically about the axis of symmetry. The windings are such that there is no circumferential current. The requirements are met for full internal confinement of the B field due to the primary current. The core and primary winding are represented by the gray-brown torus. The primary winding is not shown, but the current in the winding at the cross section surface is shown as gold (or orange) ellipses. The B field caused by the primary current is entirely confined to the region enclosed by the primary winding (i.e. the core). Blue dots on the left hand cross section indicate that lines of B flux in the core come out of the left hand cross section. On the other cross section, blue plus signs indicate that the B flux enters there. The E field sourced from the primary currents is shown as green ellipses. The secondary winding is shown as a brown line coming directly down the axis of symmetry. In normal practice, the two ends of the secondary are connected together with a long wire that stays well away from the torus, but to maintain the absolute axial symmetry, the entire apparatus is envisioned as being inside a perfectly conductive sphere with the secondary wire "grounded" to the inside of the sphere at each end. The secondary is made of resistance wire, so there is no separate load. The E field along the secondary causes current in the secondary (yellow arrows) which causes a B field around the secondary (shown as blue ellipses). This B field fills space, including inside the transformer core, so in the end, there is continuous non-zero B field from the primary to the secondary, if the secondary is not open circuited. The cross product of the E field (sourced from primary currents) and the B field (sourced from the secondary currents) forms the Poynting vector which points from the primary toward the secondary.

More at Wikipedia.org:URL: http://en.wikipedia.org/wiki/Toroidal_inductors_and_transformers

Hopf Fibrations on a torus


A Hopf fibration is a mathematical term referring to circles on the 3D surface of a torus, produced mathematically from a 4D geometry.

Many electrical phases (poly-phased) can energize these respective circular entwined coils on a torus surface. No research is known about experimentation with arrays of circular loop antennas arranged as a Hopf fibration. [please advise]

Villarceax circles as a resonant entanglement

Principled research beyond the pack is science by definition

The Native American shamanistic tradition of the dream-catcher, as an artistic work of spiritual portent of string, feathers, and such, in circular fashion, is hinted in the geometry of nine Villarceau circles enclosed by a nine-twisted helix connecting itself as a torus.

The artist-engineer concept illustration of a nine-twisted three-phase conductors (outer loops) radially feeding nine spokes to nine Villarceax circles, toward a vorticular stability within a magnetic resonant envelope. This artist's design is influenced by information allegedly realized from a 'star mind' interested in the fate of the Earth biocosm. (Imagination-perks from a Disclosure 2013 Project.)

The Dream Catcher —in reference to the cognitive affectation of the exotic field effect of a levitating anti-gravity device. Or differently, if your mind works this way…

Phased-Impulse Toroidal Arrays

Concept illustration of dielectric voltage gradients appearing as complement geometry to three helical coils on the toroid surface (coils not shown).

Pulsed Flux at Phased Segments

Magnetic flux will establish on a segment of a toroid winding. When switched off, the flux will collapse, unless an adjacent winding segment is switched on before the flux collapses. [Conjecture] This flux motion will influence other coils in a circular fashion around the toroid from segment to segment, and in so doing will establish a phase angle stability around the toroid core.

Image copyright Richard Merrick. All rights reserved. The application of Znidarsic -slash- Merrick science entails pulsed-current magnetic resonance as the sensor vehicle that scans the inertial-response of a harmonic envelope. (Znidarsic –quantum resonance, Merrick –system resonance) Clear path toward data collection is a present pursuit approached by scientific thinking on a shoestring budget. Contact DEM for discussion of the Project that is assembling.

Frank Znidarsic explains that the quantum events mediating magnetic force (or a [di]electric field) have a duration involved. The quantum transition has a start to finish time duration that is dependent upon a function of the atomic number, i.e., the proton count of the atoms mediating an electric field.

This author suggests that the interfering harmony concept of Richard Merrick affords a narrative toward a control of the natural forces. Frank Znidarsic shows the mechanics of the atom, of the time delay interaction of nuclear involvement with the electromagnetic dynamics of the electron cloud surrounding a nucleus.

Pulsed Flux at Platonic Solid Vertices

With this configuration, it is conjectured that pulse programming will enable several stable flux patterns at resonance, including rotating flux patterns.

It is already well-known among electrical engineers§ that the characteristic impedance of an electrical ladder network, which is needed for an error-free connection, has to be a function of the golden mean. Even the sound by any stereo system depends on the purity of the audio signal it produces. Each strand in a cable has its own beat. When the cable linking all components together imparts its own sound, the audio signal is corrupted. George Cardas received U.S. Patent Number 4,628,151 for creating Golden Mean Stranding Audio Cable. Individual strands are arranged so each strand is coupled to another, whose note or beat is irrational with its own, thus nulling interstrand resonance.Volkmar Weiss, Dr. habil.

§ Srinivasan TP. Fibonacci sequence, golden ratio, and a network of resistors. American Journal of Physics, 1992; 60:461-462.

Electrons and lattice vibrations: A strong team in the nano world

Date: August 7, 2011
Source: Forschungsverbund Berlin e.V. (FVB)
Using a newly developed type of spectroscopy, researchers have shown that electrons in a semiconductor are best described as a cloud with a size of a few nanometer (one nanometer is one billionth of one meter). The cloud size is determined by the interaction of the electron with vibrations in the crystal lattice.

See also: Phonon Heat Conduction

More at ScienceDaily.com:  http://www.sciencedaily.com/releases/2011/08/110805082953.htm

Torus Knot Coils (Entangled Poloidal/Toroidal)

Convolution between Toroidal and Poloidal Banding"

Red bands convert from toroidal banding (through the hole) to poloidal banding (around the major diameter) Half-way convoluted.  Notice in the animation that the before and after convolutions translate the toroid from laying flat to standing on edge.

Images from Toroidal and Poloidal article at WikiPedia.org.

The Dynamic Flux of a Toroidal to Poloidal Convolution

J.L. Naudin discovered a spiral symmetry of the rotating magnetic flux of a 2-phase Rodin Coil. The magnetic flux is obviously confused.

A poloidal winding, wrapped around the large diameter of a toroid, would produce a polarity above and below the torus hole. A Toroidal winding will produce magnetic flux that connects in a ring, with no external flux present in a well constructed toroidal electromagnet. However, when the entangled windings of a torus knot are energized with current flow, a flux is created that has some of both influences —toroidal AND poloidal. Naudin discovered this external flux in Rodin Coil tests, and also found that the Rodin coil will couple to ferrite material (iron compound) in the center hole of a torus knot coil, which is atypical of a toroidal coil. The spiral pattern may be produced from the rotating magnetic field of the bifilar windings each being energized at different moments in time (typically at 90 degrees phase separation).

Multi-Phase Torus Knot

An Inflated Rodin Coil

The Rodin Coil is a two-phase (12:7) torus knot pattern {Sorry, listed as 12:5 in error.}, with a spacing on the winding pattern left open for a missing third phase. The illustration on the right shows the geometry of the Rodin Coil, as two phase-coils 120 degrees separated, with a missing 3rd coil position. The inflated Rodin Coil is scaled-up vertically by the Golden Ratio (1.618...)inflated into an elliptical toroid.

Missing phase theory: —a conjecture needing testing with pulse-harmonics akin to Marin Soljacic's work at MIT applicable to 3D (optical) resonance within an electromagnetic power envelope, and by design affords an electromagnetic expansion-zone for the harmonic envelope of a resonant torus knot. Without this built-in decompressive-topology, a high-Q resonant envelop would become more chaotic and uncontrollable as the center-point of 3D resonant dwell is approached.

This author's approach to nucleosonic quantum refrigeration applied science experiments details a programmable power source, wherein a 3-phase pulse supply could modulate a non-sinusoidal component into the wave form over time (wave-shaping). The spectral-variation of the power-envelope is anticipated to afford a non-sinusoidal resonance against the non-linear inductive patterns associated with the cross-talk between torus knot loops as a conjugal-pinch effect. Resonant envelopes in this scenario are a geometric progression of frequencies. The power-envelope of this progression, again, via programmable pulse control, are immediately available for vector analysis over a live-instrumentation of the resonant envelope.

The concept of the Golden Error Phase Wave entails a control theory wherein the missing phase may be programmatically imprinted into any 3-phase power envelope with controlled duty cycle and depth, and also rotated between the phases with precision.

It is a programmatic control of the missing phase that may avail the creation of valence patterns within the magnetic resonant field.

DonEMitchell 06:14, 23 February 2012 (MST)

Golden orthogonal torus knot

This is a new discovery by the author, new to him at least; circa June 2013. Please realize that magnetic resonant coils will not couple when oriented at a right angle to each the other. The orthogonal (right angle) torus knot depicted is anticipated to have a resonant topology separated into hemispheres above and below the torus plane. This also indicates that the inner coils are decoupled from the outer coils at the torus plane.

Fig. φ. The orthogonal symmetry seen through the coils of the 13:8 torus knot 3-phase coil array create a gradient of resistive reactance at the torus plane, with inductive reactance increasing on a gradient approaching the top or bottom of the torus, on either side of the torus plane.

An experimental device driven by a chaotic ring amplifier is conjectured to cross Znidarsic's Velocity, toward manifestation of the exotic effects of Ning Li, formerly of NASA, attempting to duplicate Eugene Podkletnov's astounding results. The work at NASA was also assisted by Frank Znidarsic, the new Einstein per this author.

Premise of assumption: The "white noise" of the chaotic ring oscillator operating at low RADAR frequencies and low power may yet have cast across its spectral signature the shadow of the nucleo-sonic, or Bose-Einstein condensate qualities predicted by the rogue classical physics of Frank Znidarsic, principled on a new model quantum-transistion more conformant with reality. Frank explains in his paper, The Control of the Natural Forces.

Bifilar Torus Knots

A (2,1) torus knot on a torus form. Red and blue halves indicate two equal-length paths for current to travel between connectors.

A bifilar torus knot electro-form is the same geometric entity as the edge of a Moebius strip, i.e., the Moebius strip's edge is a torus knot. Equal length bifilar conduction paths on a torus occur at opposite points across a minor or major diameter of the torus knot helices. Both diametric, bifilar connections to the torus knot are on the plane of the torus ring.

There are three groups of torus knot bifilar diametric symmetries.

  • Across the minor diameter of the ring
  • Across the major diameter of the ring
  • From the outside diameter to the far-wall of the torus hole

The Moebius Edge Gallery depicts several degrees of torus knots showing the connection symmetry that produces equal-length bifilar paths.

A Moebius strip (translucent) with a magenta circle as the center path of the Moebius strip. The red 1/2-twisted Moebius strip edge is a 2-loop, helix forming a torus knot. and a torus knot at the edge in red as a section of a torus surface.

A Moebius strip has one surface, and one edge, as in the illustration at left. The translucent strip has a single edge as a 1/2 turn Moebius strip where the single edge is the trace of a (2,1) torus knot in red.

A (2,x) degree torus knot creates a Moebius strip with a planar section. A (3,x) degree produces a triangular cross section, (4,x) a square section, and so forth.

By creating a torus knot as a continuous conductor loop closed upon itself, diametrically opposite connections across the torus will register little inductance. This is because the current traversing across the torus diameter travels both directions around the torus ring which creates magnetic fields that cancel. Induction involes real work in the creation of a magnetic field from moving current. Therefore, with lowered inductance, large torus knot coils may operate at higher frequencies without the work-related time-lag of inductance.

3D Geometry Notes on Electrodynamic Gradients in Closed Topologies

toward anisotropic ferrostriction via Z-pinch load of toroidal harmonics

  • The magnetic polarization of a ferrous medium that is linked with itself to form a ring will distribute the molecular strain of the magnetic medium equally around the ring, as a strain system.
  • The circular strain system of a self-closed-strain-system can be "wound up" like a clock, storing strain within a twisting, circular topology. The strain can be considered a phase-wave in the polarization gradient with respect to rotation about the torus center axis.
  • A Halbach-ring array of magnet segments is an approximation of a magnetic phase-wave, where each segment is a stepwise rotation of the angular phase of polarization (direction of magnetization for the segment).
  • A torus knot is a phase-wave topology of a dual-angular-moment, or a twist on the circular cross-section of a torus surface.
  • A torus knot is capable of interacting with itself across the torus hole, increasing in cross-interaction as the minor diameter is swollen to reduce the hole size through the torus center.
  • Therefore: certain degrees of a torus knot will mutually entertain also a segmented Halbach-ring mono-momenta, or a singular angular moment around the torus center axis. The segmentation occurs between the helical loops approaching the torus hole.
  • Current induced magnetism would experience segmentation as a monopole erupting the torus on top, a similar monopole in polarity on the bottom side of the torus plane, with an equatorial band of opposite polarity on the poloidal perimeter of the torus. These two simultaneous monopoles share a central opposite pole, referred by the author as a tripole system. A tripolar magnetization strengthens while the current in the toroidal torus knot loops is increasing (during the rising edge of a current pulse), and will likely exhibit inductive lag.
  • The potential energy stored within the dual-monopolar-system (the tripole) is a function of its inductive loading and the slope of the current change, and will likely exhibit a resonant notch within the overall resonant envelope of the whole knot.
  • The magnetic flux pattern causes an anisotropy, or an unevenness, in the equal distribution of strain in the molecular system that is proportional to the appearance of the tripolar potential. The unevenness is distributed along the torus axis, the axis of the tripole.
  • Geometric solution for an inertial drive coil: programmatic harmonics induced on a segmented, poly-phase torus knot, capable of asymmetric leverage upon the harmonic envelope via the timing of the pulse-complex driving the 3D array. Thrust is produced by asymmetric leverage. Strain systems motivate by asymmetric molecular strain induced by pattern shifts in the harmonic envelope.

DonEMitchell 04:27, 24 April 2012 (MDT) </div>

Swiss Roll spiral

An electromagnetic swiss roll coil is made by wrapping foil and dielectric sheet around a cylinder form. The magnetic field is along the cylindrical axis, with no flux strength gradient change along its length at resonance.

A Swiss roll spiral coil has been used in arrays to create a magnetic wire wherein the magnetic amplitude at either end of the cylindrical axis is always equal. [citation needed]

Spiral Pulse Generator Coil

In edit...

  • Intro text.
  • Description of physical geometry.
  • US Patent imagery and patent link.
  • Image caption.
  • Operation is an anomalous behavior that does not conform to common Maxwellian electromagnetic theory, et al.
  • US Army development overview and links.


Basket Weave Coil

Experimenter tip from Alan Yates geeky hobby Laboratory:

URL: http://www.vk2zay.net/article/file/868?dur=4155
If the wire you were using in the first few pictures has PVC insulation that would certainly reduce the Q of the resulting coil. PCV has very high losses at RF. I did think once of making a capacitor with pcv cling film for a special purpose (UWB transmitter). Anyway the best plastics to use at RF are polyethylene (HD,LD, or any type not containing carbon black), polypropylene or polystyrene (PS foam is even better). You cannot glue PE or PP but you can glue PS. While we are talking about long chain polyolefins you could immerse a variable capacitor in paraffin to improve its voltage rating and double its capacitance - useful for magnetic loop antennas. One problem that could potentially happen is that the oil could heat up enough to change to capacitance slightly and detune the antenna.

This is an example of a so-called "basket" or "basket-weave" coil. The wire comprising the coil is wound in this fashion in order to reduce distributed capacitance.
From The Voice Of The Crystal

The Hendershot device is another mystery device. The secret went to the grave with Hendershot.

Alternative Energy Institute, Inc.
URL: http://www.svensons.com/Energy/hendershot.html
"This is the story of another inventor who died before his ideas were completely understood or accepted by scientists and society. For more than 30 years Lester Hendershot worked on an over-unity device that was thought to be tapping into a magnetic force field.
Hendershot basket-weave coil by Youtube user Morpher44 investigating the Hendershot Device.

Interestingly, Hendershot seemed to be the only person capable of activating it, but was "unable to provide a satisfactory scientific explanation" for why his creation worked. Nevertheless, the fuel-less generator was demonstrated many times from 1928 to 1960, and its validity was attested to by several witnesses including Charles Lindbergh (1). A demonstration was even conducted before the U.S. press in which the device passed all assessment tests (2)."

Wilbert Smith Coil

Fluorite quartz point with Wilbert Smith style winding pattern by David Lowrance, Alaska. © 2007 David Lowrance

The coil pictured on a fluorite quartz point is a woven coil style used by Wilbert Smith of the Canadian DOT. Wilbert reported psychotronic effects in his research only after he retired to private research. A winding style like the Smith Coil was used by David Lowrance in his fluorite quartz point psychotronics experimentation inspired by information channeled by Kosol Ouch from the future self of DonEMitchell.

A visit to a star gate in Colorado (circa Jan. 2010), built by channeled information over a two year span, discovered the use of scalar waves to activate ones Spirit/mind, toward enfolding space-time, or time-space, and that mediated by a very careful use of sacred geometry AND counter-rotational periods over time establishing a Golden Ratio.

Unknown toroidal winding

(CyberSpaceOrbit.com) "Some years ago, a friend who was the best authority on Tesla apparatus in my part of the world, disclosed to me, reluctantly, that he had constructed a small unusual shape toroidal former wound with wire in a equally unusual manner. Imagine a doughnut shape basket squashed in on the sides so as to form a slot in the center rather than a hole.

Wire was wound from the slot area and the winding progressing up and around the out side surface of the 'doughnut', and finally back up in the slot area. Also there were some turns of wire circulating within this 'basket'.

Now this fellow had attached a H.F. transmitter to the device along with high voltage DC. He claimed that when he switched power to the coil, the room he was in seemed to be shrinking in toward the coil. Needless to say that it frightened the daylights out of him."

See also

"Abstract: A superconducting pulsed poloidal coil being built by MIT will consist of three double pancakes of Nb3Sn cable-in-conduit conductor operating at a maximum coil-envelope current density of 50 A/mm2 at 4.2 K in a peak field of approximately 10 T. Peak current and peak ramped field will be 30 kA and approximately 10 T/s, respectively. The coil, conductor, proposed experiment, and supporting research and development efforts are discussed."

  1. Send us a link to your recommended Tesla site, please! Contact the Wiki editor, please.
  2. The "Magnetic Moebius Tripole", by J. L. Naudin http://jnaudin.free.fr/html/tripole.htm
  3. The "Magnetic Moebius Tripole", by J. L. Naudin http://jnaudin.free.fr/html/tripole.htm