Hi Bob!

I'm glad Jürg covered the scientific side of questions 1-7.

As a practitioner, a.k.a. newbie woodworker, my formal science is loose.  But intuition can be formal, yet once-removed from communication.  "I can feel it, Dave" --Hal, 2001 Space Odyssey

/*
*/

/*1. Does a magnetic vector imply 3 space  dimensions or only 1*/

3-space yes. The vector length represents the amplitude.  3-Space vector notation is just [x,y,z] or some such syntax.  A point location in 3-space is a three-part notation.

My yet undomesticated human considers a magnetic compass to be a good analog of a unit vector expressing the magnetic alignment. Leo Vuyk made a 3D magnetic unit vector for geomagnetic studies. (Where 'unit' refers to the magnetic needle length, which doesn't indicate magnetic intensity.)

Detanglement in the Fibonacci-neighbor knot-ratio WILL CREATE (amateur prophesy alert <--saw it in POVRay) a step-phase magnetic-rotation tangentially across the 'torus surface,' per se, composed of close windings of a 13:8 knot 3-group (39 helical loops total), which change magnetic polarity in a wave-motion across the torus, and around and through the hole.

So, if a neodymium sphere magnet were to roll on the surface of the 3-phase electrified Fibbonacci-knot donut, the neo sphere would chase the 'vector' wave (of magnetic polarity alignment) around the surface and through the hole and repeat.  The direction of the magnetic polarity at any one time in the magnetic cycle is represented by a magnetic vector.

   **math: maths, a pluralization of a short form of a pluralization,
   exposing average skill of mathematicians for spoken grammar,
   exacerbated by YouTube algorithms under monitization incentives,
   accepted by the hoi polloi because it's fun to correct people in
   combat-chat.

Common 3-phase industrial motors create a rotating magnetic-vector field in the stationary core.  The rotor is spun by the eddie-drag against the rotating field.

/*
*/

/*2. Is a magnetic field as described by Maxwell also implied?*/

As the magnetic device concept in discussion, I'm doing normal current through copper tube or strap through power MOSFET-s, and search for timing domain anomaly in the waves in the vector-field.  But if you watch me, nothing moves.  Those are now only tangible as thoughts used to reckon lines on an oscilloscope with multiple options on the knobs <-- while alert for transistor smoke.   Kidding.  Sort of.

And Maxwell is cool.  It works for wires in loops.  But but, the Aharonov-Bohm effect (Hooper's Motional field?, or something buried in the double-spiral flux-capacitor concept?) is wrapping the whole torus at a right angle to the magnetic alignment-progression ?

What becomes of A-B effects at complete system resonance?  Bill B. confirms a rotary resonant basin is achievable (I waited years to hear that, Bill.)

And more thoughts could put an Arduino talking to an FPGA to keep the golden orb encapsulating the whole affair <-- pending hired help and a billion dollars plus five to fifty years, and more billions.

The 'orb' is in the timing domain.  That is realized later by analysis using periodic sampling and more hired geewiz algorithms in a box.

Hunt for the cross-time agency, locate the signal and lock-on, then amplify and massage as a new play pretty, and post images nobody believes, and dance a jig in the fab-lab.

And the timing-domain is realized by time-based arithmetic on fast processors, fast-enough that human-sense control-response may appreciate a fly-through of 'live' dynamics afforded by all the blinky stuff on a little circuit board.  Fly-through a conceptual representamina of dimensionalized cross-time spectral dynamics of edge-jitter in a ring-oscillator <--before doing something uninvited by the consequence of feeling in the dark (beyond the light of mind).  Like Madame Curie.  I've heard lots of tales. And then Bill emphasizes the same caution.


/*3. Are there any intrinsic magnetic physical parameters associated with a space dimension(s)?*/

Where 'space dimensions' may refer to the physical space occupied by a resonant GOTK ...

A knot entangles poloidal current winding around the donut axis the coils are wound upon.  <--- This generates a north-south magnetic field component of the system whole, but likely appears in the far-field as a dipole.

A knot has toroidal-components, and their component is locked within the donut-ring as a ring-o-flux, closed on itself.  This magnetic polarity isn't reaching out, but at RF will have Aharonov-Bohm effects, and may serve to 'determine' the topology of the emergent resonant structure when this golden copper donut is tortured with all manor of wattage at a crazy noise spread <--aiming for the calm under system bifurcation that could pop rivets <-- frog ear tech.

Oh but wait.  Picture the spinning lamp one stared into, flashing light on one's face to induce meditate states.  Within one could visually identify patterns, but only if it spun.  Popular in New York City back in the day.

The 3-phase electrification may occur in an operating sequence where time-domain of electrical-conductor-current is overlapping in space with other entanglements, such as when the whole thing falls into a system-rotary resonance, 'things' emerge that are parts of other phases in other sectors and times in a  resonant envelop of rotary resonance.

Thanks for verifying that phenomenon, Bill B., of rotary-component of resonant storage, and characteristic inductance.

So, if rotary-apparitions 'emerge' as stabilities over pulse-timing contributed-into by various electrification phases, then perhaps any sort of magnetic signature could be added to the resonant nest. But don't confuse this with a programmable, macro-quantum-dot.


/*4. What is magnetic flux? (Flux  implies a flow of something,)*/

I dunno.

I suspect it is action at a distance transmitted on aether-media as scalar wave-forms between two points acting as force-coupled pairs.  The scalar waveform has amplitude, and contains directionality (vector notational components describing direction in matrix (tablular) form)

Personally, because 'lines' are used in illustrations for magnetic field lines, I see no reason to consider flux is consisting of lines.  Things will organize in lines within flux. It is hard to engineer an abstraction, but the description of behavior is good to do.  And protons aren't tiny billiard balls.


/*5. Is magmatic flux related to the angular momentum?*/

I wish I knew.  In a superconductor, cooper-pair resonance (harmonically coupled into a superconducting ring) acquires actual physical angular momentum, I read.

I read the Toroidal Power Unit (TPU) of Steven Marks had a gyroscopic-like inertial resistance when held and moved --I think <-- Anyone?  Do I recall that properly?


/*6. Is angular momentum a quantized physical parameter or dimension?*/

/**/Not a clue.  But, Jürg mentions the SO(4) theory as using Fibonacci numbers that are neighbors in the Fibonacci sequence to build a knot ratio.

If a knot were rubber, and could be twisted about the toroidal axis tighter...

   A 12.1:8 'fractional' torus knot:

   
https://groupkos.com/dev/index.php?title=File:Torus_knot_bifilar_12.1-8_4-trefoils_fractional_expanding_07.png
   
<https://groupkos.com/dev/index.php?title=File:Torus_knot_bifilar_12.1-8_4-trefoils_fractional_expanding_07.png>

   which is not real, but exemplifies a possible rule of
   unit-angular-momentum in a torus knot in some sense somewhere.

   A 12:8 is the same as a 3:2 knot, winding over itself four times.

A fractional knot, increasing from p=12.1 toward 13:8 knot ratio will pass through a 5:3 knot, and will then pass through an 8:5, to become a 13:8 knot.

All of these knots occur while the poloidal winding tighten by only 2Pi.  I.e., one extra axial twist (poloidal around the axis) will range from the 3:2 to the 13:8.

Note that 'ranging' through the knots passes the loops through collisions.  I would assume a flux of polarized medium would form a barrier or opposition, causing an angular-valence, per se.  Or spin-velocity quanta of 2Pi Fibonacci-neighbors fraction.

That's 2Pi / 13:8 omega band-gap of the angular momentum valence notch... maybe?

Or is that angular-torque?  Add more torque for more clicks in the gradient of notches at the Fibonacci harmonics.

How does one twist the flux core of an SO(4) torus knot?

The twist is torqued against what?  Is the torus knot inner loops twisted against the outer knot loops?  {IS THAT SMITH'S TENSOR FIELD VEHICLE OF EFFECT?}

Interesting: As the 3:2 knot is twisted-up tighter (axially), the helical slope of the knot, as a helix going around the donut, starts at

p/q = slope

3/2= 1.5

5/3=1.667

8/5=1.6

These values oscillate asymptotically toward the golden ratio (Phi=1.61803...) as larger values of Fibonacci pairs are used as knot ratios, like 55:34 (1.6176...)


/*7. Is space a real physicals dimensiom(s) continuous to 0 ?*/

I'm clueless.  But if there is no texture limit, then a self-collapsing energy-moment wouldn't stop collapsing, at any scale.  Turtle-finity.

As a clueless amateur, more information about plausible experimental designs can be absorbed (the good with the bad), and then over time the things that don't work are realized (while learning) to be implausible as imagineered.  Known working components are engineered to work as a test of conjecture of the working whole.  The works of the whole is what is luring me backwards (reverse-engineering from disclosure info, 2013, heaped on a lifetime of Bill Beaty's list, et al).  A picture-puzzle, but there's no picture on it.

There's some sort of phase-inversion or topological coalescence or self-tightening pinch or some such going on that seems to be a missing ingredient in 'the unhelpful' sort of information.

Wilbert B. Smith** realized a power-threshold before copper Caduceus windings on a hollow ferrite core would produce scalar oscillation and establish a discontinuity in the flow of time, a 'tempic field.'

   **Detected 1st UFO for Canadian gov. on my birthday in 1954, and
   built a 'tensor beam' coil from information not sourced from Canada.

*
*

*Dawn your hats*

Smith's coil, at 10 kilowatts of RF power, operating inside a sealed brass tube, fed by coaxial feed from an AM transmitter, per my amateur purview --dawn tin hats now--> structuralized the black body energy to afford a tempic wave. I.e., the 'men upstairs' provided specs to form a standing Znidarsic wave which has harmonic gradients that couple into nucleo-sonic thermal energy (black body energy --when aligned in topographic structure-- imprint proton-field, or matter lattice, strain-regions, electronically dimpling BB potential over a gradient).  This means there are LENR principles embedded in the Smith tensor beam technology, "I can feel it, Dave."


/*Bob and Vortex People*/

What are your wild hunches on Smith?


Cheers,

Don

Amateur engineer and newbie woodworker


On 4/2/2021 4:42 PM, [email protected] wrote:

DON AND JURG--   --

QUESTIONS:

 1. Does a magnetic vector imply 3 space  dimensions or only 1
 2. I s a magnetic field as described by Maxwell also implied?
 3.   Are there any intrinsic magmatic physical parameters associated
    with a space dimension(s)?
 4. What is magnetic flux? (Flux  implies a flow of something,)
 5. Is magmatic flux related to the angular momentum?
 6. Is angular momentum a quantized physical parameter or dimension?
 7. Is space a real physicals dimensiom(s) continuous to 0 ?

Bob Cook

*From: *Don <mailto:[email protected]>
*Sent: *Wednesday, March 31, 2021 2:43 PM
*To: *[email protected] <mailto:[email protected]>
*Subject: *Re: [Vo]:Texture of magnetic vector rotation in a special knot group

Hi Jürg!

On 3/31/2021 7:38 AM, Jürg Wyttenbach wrote (about what Don wrote below):

    Did you notice that the knots are based on Fibonacci numbers?

    The same as in SO(4) physics torus knots!  The magic of flux
    partition!

    J.W.

I'm not sure what you are asking, Jürg.

If you mean, did I notice the numbers are in the Fibonacci sequence, then, yup.  I was searching through parametric substitutions using ray-tracing rendering and animated search sequences, with all manor of golden and platonic combinations over the years.

If you mean, did /I /notice or discover the Fibonacci number thing, rather than develop from another's work, the answer is still yes.  This is golden stuff  of my compulsive amateur curiosity, and the golden torus knot seems mapped out to my satisfaction, now, so that the nickles in my pocket are beginning to itch for want of parts to assemble.  I wanted to (think I) know what I was doing before I spent part of our grocery and vice budget.  Now I'm out of excuses.

Or did you mean to ask something other?

---

My curiosity-vectored search has over the years seemed to have a mind of its own (Zen-vectored moments of pondering). I'm really surprised after the system design closure of principle last September that the solution was a unique arrangement, but an arrangement of concepts I knew well (enough) for years.  Also, for me, layers of head-jolting-synchronicites kept motivation to keep searching at a high level.

Thank you for your curiosity!

-Don

Amateur Engineer and Newbie Woodworker, Director of Bucket List Operations (BLO)

Phi = 5^.5 * .5 + .5 <-- In case all the other keys on your calculator are stuck

    On 31.03.2021 15:13, Don wrote:

        Hello Vortex People,

        This is some serious stuff to me as a hobby.  I call it a
        hobby so people won't think I'm too serious.

        But seriously, a certain group of knots on the same donut
        afford a golden opportunity to get organized and orderly on
        the torus surface <-- with a magnetic vector wave continually
        revolving at velocity by frequency per scale.

        A certain group of entangled knots affords what I always
        thought was going to be easy to do.  Well, just winding a
        helix around a donut multiple times, entangling with the
        earlier windings, and connecting where it started as a
        'smooth' torus knot, gets the surface-velocity-timing of the
        vector rotation all mixed up.   Don't despair!

        ---

        Brought to you by shear boredom during panedemania...

        There is a way to wind a group of smooth torus knots on a
        torus surface, in such a way that the torus knots are
        energized in step-phased electrical current, smoothly and
        continuously over the surface.

        The trick is not a 'way to do it', but which knots to smoothly
        entangle when separated by 120 degrees each around the donut
        <-- and this trick appears and disappears by the number of
        entangled phases.  This focus will be only about 3-phase.

        The answer of which knot to use is --> 13:8 <-- The p:q knot
        ratio turns around the torus axis (p) and helical loops
        through the torus hole (q).  Or, that's my personal choice.

        The 3:2 knot, the 13:8, and the 55:34 are the first three
        knots which also share the quality of 1) q = even number, and
        2) p and q are adjacent numbers in the Fibonacci sequence.

        ---

        Hot or Knot?

        What's your vote as a sensible knot for prototype studies
        toward revolving a magnetic vector tangentially and
        continuously around the surface of a golden donut (by torus
        profile) at a golden slope through the torus plane, and a
        golden slope from the axis through the torus hole?

        ---

        Why q = even numbers?

        Because, for even q-s, the electrical connection points for
        bifilar conduction are diametrically opposite each other on
        the outer circumference of the donut.

        So?  Because then, electrical connection is performed away
        from the torus center hole, and all connections for 3-phase
        group of knots on a donut are done on a six-point layout, as a
        hexagon.  A magnetic self-resonance on the knot group (at a
        few megaHz of ring-amp tail-chase current-reversals for
        maximized delta-B) will have minimal magnetic interference
        leading away from the magnetic surface of the copper array, a
        copper wound donut. There's nothing in the center hole of the
        donut but the hole (and perhaps some target for study, like a
        very thin film of nano-fibers for hosting plasmon resonance as
        a emergent-topology enticement for over-driven states.

        ---

        Why Fibonacci neighbors?

        Beside being an approximation of the golden ratio, the
        Fibonacci knot ratios produce this curious de-tangling of
        entangled knot helices.

        Each knot self-entangles its own windings, and when two are
        entangled on the same donut (none touch, the loops are between
        the first knot's loops) there is yet an entangled pattern on
        the torus surface.

        But wait!  The 3-group on a donut magically detangles, and the
        knots beginning from three points of the compass lay-out in
        contiguous phase-order, and more.

        When a third Fibonacci knot is wound between two other knots
        on a donut, all smooth, even, non-touching, and symmetric,
        then two geometric structures appear in the order and current
        flow along the surface of the knot:

            1) The left-handed and the right-handed helices (the
            bifilar halves) are grouped contiguously, symmetrically,
            and in sequence; and

            2) The phase order is natural as phaseA, phaseB, phaseC,
            phaseA, phaseB, phaseC.... across the entire surface. 
            Which is what I thought would happen in the beginning when
            one just wound a bunch of wire on a donut.  Nu uh.  But
            now you know.

        ---

        How can this be?

        Without knowing the proper terminology, suffice to say it is
        about dissonance near an integer.  The golden ratio creates an
        even distribution on a plane in seed-heads of plants, or
        phylotaxy of leaves on a stem, but entangling golden
        entanglements on a golden donut creates a sorted progression
        of polarity and phase.  I be happy.

        ---

        What this is?

        This is about reverse-engineering attempts to design 'it' to
        comply with what's not known to not work.  No government funds
        were used, or animals harmed (not counting my neurons).

        ---

        What size this is?

        It's about a foot across the outer diameter of the copper
        wound donut. The hole of the donut is about a quarter of an
        inch" (6 mm).  There will be 39 helical twists in 3-phases,
        with about 50 foot total copper conductor (likely flat
        conductor for the close spacing in the hole.

        ---

        What power's this geometric magic knot array?

        Something like two D.C. arc-welders in series for a power
        equivalence, as an over-engineered prototype build.  As a
        test-device, this leaves room for adjustment.

        Whirls,

        Don

--
    Jürg Wyttenbach

    Bifangstr. 22

    8910 Affoltern am Albis

    +41 44 760 14 18

+41 79 246 36 06

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