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The Society for the
Diffusion of Knowledge
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After achieving orbit around a spiral array, simple wave winds a spiral configuration so tight, that its spiral surfaces are all nearly touching (approaching zero separation) either along an interior shell:

or an exterior shell:

For any wave having fallen into orbit around a spiral array, the field
surfaces it undergoes interchange with, will be displaced in the direction
of its travel, inexorably being drawn into a spiral. As this
wave wraps the field tighter and tighter around the spiral array, it will
no longer strike the surfaces ahead at its center, but rather displaced
from its wave center towards its orbital center. As the field
tightens, this striking point moves closer and closer to the wave's edge,
where the magnitude of the wave's distribution of motion becomes less and
less.
Eventually,
as this continues, the wave will encounter surfaces actually moving against
it with greater displacement magnitudes; essentialy field noise.
When this happens, interchange with these surfaces will reverse its direction;
halting the wave in this position. Field surfaces still moving forward
will begin to saturate this region, forming a narrow shell of high surface
density; the simple wave now caught in the embrace of field noise.
Unable
to move forward or backward, the spiral winding becomes locked; unable
to wind tighter or unwind.

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| SHAPE:
TOROIDAL
OCCURRENCE 1: GENERATED BY A SIMPLE FIELD WAVE OCCURRENCE 2: THROUGH RADIAL DECAY |
FIELD GENERATION OF THE INSIDE-SHELLED SPIRAL
Anywhere
within the field, within any polarized region, a simple field wave will
have eventually encountered a radial order of the field and those
conditions
allowing it to spiral the field into a spiral array, and then into a spiral
configuration.
Here we see a simple wave l
depicted as assuming two opposite-handed orbits as it curls in opposite
directions along a flat plane (subjective). The flat plane
may have any orientation in the field. The chance that it will assume
one of these two possible directions is is equivalent and most likely slightly
less than 0.5 for either. This probability is based upon a finite
overview of these activities where the wave may approach the center of
the radial order head on or from one side or the other.
Head on, there is the possibility that the wave will emerge from the radial
order without deflection. Approaching to the left of center will
produce a clockwise orbit and from the right will produce a counterclockwise
orbit, each of equivalent possibility.
By convention, using the left-hand
rule with the index finger pointing in the simple wave's pre-orbital
direction, the thumb points in the NORTH
polar direction. For either possibility, if this NORTH
polar direction points in the positive direction of any axis of a
left-hand
Cartesian coordinate frame of reference, then the radial order of the field
will become a positive normal-spiral configuration.
If the NORTH
polar direction points in the direction of the negative direction of any
axis, then the radial order of the field will become a negative anti-spiral
configuration.
Once a spiral configuration is established, it will progressively match
the orthonormal orientation of the group of spiral configurations within
any finite region of the field, its plane of origination no longer a factor.
During the initial stages of winding the field, the simple wave in orbit
will progressively encounter radial surfaces closer together to the interior
of its orbit, than to the outside, causing it to undergo interchange more
frequently to the interior.
As the array evolves into a configuration, these distances diminish not
only because of the basic geometry of radial surfaces, which are now becoming
spiraled, thus being more appropriately referred to as spiral surfaces,
but because more and more surfaces are being captured and held by the configuration,
increasing its core density.
Eventually these distances become so small, the wave edge becomes buffeted
by field noise, bringing further advance by the wave to a halt, resulting
in a standing wave on its inside edge, resulting in an inside-shelled spiral.
For these same mechanisms
to come into play on the outside edge of the wave, would require great
luck to overcome to overcome the more natural development of an inside-shelled
spiral configuration, and therefor outside-shelled spirals are not seen
to develop strictly from field origination.
When a dual-wave radial undergoes polar dissociation, two opposite charged spirals are generated, one being an ISS and the other an OSS. [REFERENCE]
If two opposite charged ISSs are drawn together by virtue of their residing on the same plane [REFERENCE], they will unwrap each others respective field, releasing two independent simple waves back into the field which will travel along the same orbital plane they each enjoyed as part of these spirals.
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| SHAPE:
TOROIDAL
LIMITED OCCURRENCE: THROUGH RADIAL DECAY |
FIELD GENERATION OF THE OUTSIDE-SHELLED SPIRAL
Unlikely. [REFERENCE]
An OSS is a paired decay product with an ISS. In each pair, the decay products are of opposite charge. There are two pairs of decay products. The orientation of each decay product remains the same as prior to decay. [REFERENCE]
If two opposite charged OSSs are drawn together by virtue of their residing on the same plane [REFERENCE], they will unwrap each others respective field, releasing two independent simple waves back into the field which will travel along the same orbital plane they each enjoyed as part of these spirals.
Frontals which encounter an OSS will experience IDDI such that the shell
is caused to move forward against the approaching frontal. Specifically
what happens is that IDDI causes both frontal and the first surface it
meets belonging to the shell to strike a mean position, essentially moving
that surface forward. Because of the close proximity of many surfaces
belonging to the shell and noise, IDDI is occurring everywhere around the
shell, thus this specific IDDI which occurs in contact with the frontal,
can never make its way around to the backside of the shell, being neutralized
by the many other IDDIs which are also occurring, which, if not neutralized,
would cause the shell to move backwards.
A frontal is a termed for independent field surfaces in relative motion
towards the OSS.
In this next illustration we see an approaching field surface or the motion of the array through the field. The orange surface represents a spiral surface associated with the array. This surface extends an infinite distance away from the finite array. It also passes either around the shell or through the central spiral core, where within, lies the standing wave causing all of this to happen. This orange surface is typical of all surfaces passing through the array from all directions around the orbital plane.


By tracing the direction of this displacement relative to the surface,
many other vectors, all of now equal magnitude, may be drawn in relation
to this surface as it it wraps around the shell and through the central
core. Notice how this displacement cancels between layers (black
vector pairs circled), except on two transition layers; one entering
the core at the top, and the other last layer on the bottom outside.
These two vectors are shown in orange; representing they residual
displacement under these conditions, associated with the original displacement.
What this means is that all displacement caused to happen against an outside-shelled
spiral produces a uniform displacement, greatly attenuated and directed
orthogonal to the shell at that surfaces entry point. This one mechanism,
accounts for the interaction between two or more
spiral arrays, which produces an impulse equivalency to electrostatic charge,
causing like spiral arrays to repel and unlike spiral arrays to attract.
Regardless of the number of interior shell layers, cancellation of pairs
always occurs.
Another behavior illustrated is the approach of ambient field surfaces,
shown as green and descending onto the array from above. This
condition may be viewed in two ways: either the array is at rest,
and field surfaces move through it, or the field is at rest, and the array
is moving through them, the latter being more likely. In any case,
interchange between it and spirals associated with the array will most
likely occur at location A, as this ambient field line contacts the shell,
or at B. Resultant displacement of the array's spiral will be upward
at location A, causing the outermost shell surface to move upward, outward
to each side, and downward at the bottom, which to some degree may cancel
any overall displacement of the array. I am uncertain as to whether
or not this impact region (A) has any pronounced effect. However,
impact at region B will have a definite effect driving the array upward.
What this means is, an outside-shelled spiral, once impacted by ambient
field surfaces, having undergone conforming or not, will tend to move in
the direction against the direction of these ambient field surfaces, thus
causing the array to continually move through the field, once set in motion.
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| SHAPE:
OBLATE SPHEROID
OCCURRENCE 1: SIMULTANEOUS SIMPLE FIELD WAVES OCCURRENCE 2: TWO INSIDE-SHELLED SPIRALS MERGING |
FIELD GENERATION OF THE RADIAL CONFIGURATION
Another class of configurations, called a radial configuration, evolves
from a purely radial array consisting of two waves, rather than one, traveling
in opposite directions. Because two waves must enter a radial field virtually
simultaneously,
the odds of occurrence of this configuration must be substantially less
than for a spiral configuration, where only one wave is required for its
formation.
Besides one having one wave, and the other two waves, there are several
other significant differences between these two configurations.
In
the case of two waves orbiting around a common radial center, no winding
of the field occurs; each wave nicely offsetting the forward displacement
of radials caused by the
opposing
wave. Just as with the spiral configuration, field surfaces are caught
and trapped by the same mechanism as before, causing the density of field
surfaces within the configuration to rise above the normal ambient field
density, until a certain maximum is reached. As mentioned before, this
mechanism is called radial restoration.
Another
difference between a spiral configuration and a radial configuration is
that a radial configuration is not permanent, eventually decaying, because,
unlike the spiral configuration, no standing wave conditions develop. Instead,
because of the radial field, both counter rotating waves follow a gradually
enlarging spiral path, ultimately causing dissipation of the radial configuration.
The
waves forming a radial configuration do not need to be exactly alike, but
may vary in wave size and speed, as well as angle of entry
into
the radial field, nor do both need to arrive at exactly the same moment.
Once engaged in mutual counter rotation, despite speed variation, the faster
moving wave will tend to twist the field, since it gets around more times
in the same time.
By
so doing, the faster moving wave will wrap the field in the direction of
its passage. The slower and opposite moving wave encountering these slightly
spiraled radials, because orthogonal redirection, will take a tack inward.
Because it is now traveling along a smaller orbital radius, the slower
wave, though not moving any faster than before, is now completing its revolution
a little bit more quickly.
If
its period matches the faster wave, each wave will perfectly offset the
forward advancement of radials caused by the other wave, and no further
spiraling of radials will occur.
Besides
undergoing change in its orbital radius, the slower wave, as it moves closer
to center, will face a predominance of convex radials, and thus become
smaller, allowing it to move closer to center than it otherwise would be
able if its wave size had not diminished.
The
reverse of this process also occurs. If the
outermost
wave's period is too long, allowing the innermost wave to wrap radials,
the innermost wave will tend to move away from center.
This
process which is not purported to be perfect, probably does not allow perfectly
stable orbits, but instead a yo-yoing so-to-speak, or weaving of wave orbits,
of the two waves.
The radial
configuration, also called a dual
wave configuration, is formed much in the same way as an outside-shelled
spiral, except in its case, two waves, rather than only one, are involved;
moving in counter rotation. Though both waves do not need to be exactly
alike, they should at least be sufficiently similar in order to provide
identical, or nearly identical periods of rotation as they orbit around
the radial center. If this happens, spiraling cannot occur, because the
counter rotational passage of each wave will neutralize the field spiraling
caused by the other wave. In other words, though one wave in its passage
will start to wrap the field into a spiral, the other wave, coming from
the opposite direction will unwrap the field, and vice versa. As is suggested,
the field surrounding a radial configuration, by virtue of its mutually
restorative counter rotating waves, remains radial.

As a direct consequence of this, no shell is formed, and standing waves
will not develop. Instead, both waves will continue to orbit around the
radial center with progressively larger and larger orbits. This is true
by virtue of the nature of orthogonal wave propagation from surface to
surface; each wave describing a segmented path
from
one radial to the next, until eventually the waves begin to encroach upon
the ambient, random field which surrounds the configuration. Once reaching
this portion of the field containing fewer and fewer radials belonging
to the configuration itself, the waves dissociate from the radial configuration,
causing its decay.
THE RADIAL CONFIGURATION GENERATED BY THE MERGING OF TWO UNLIKE SPIRALS
Two unlike spirals normally reside on opposite layers and will at moments
be in near polar colinearity with each other. Under these conditions
they will axially repel. [REFERENCE]
They will also under these conditions be in close radial proximity and
radial attract. [REFERENCE]
If they succeed in radial attraction, they will undergo annihilation by
virtue that their respective opposite wound spiral surfaces will quickly
unwind, generating a radial array, releasing two simple waves back into
the field, each directed coplanar to their originating layer. Accordingly,
it is unlikely that a dual wave radial configuration might result.
If despite axial repulsion, if both spirals move exceedingly close to each
other, nearly common to the same plane and axially aligned, both axial
and radial restorative impulses could come into play, keeping both waves
in opposite rotation about a nearly common axis and plane of rotation.
If these conditions were met, with their passage in orbit, each will displace
the others winding, eventually unwinding the field altogether, generating
a dual-wave radial configuration.
After some the radial configuration will undergo decay. [REFERENCE]
After having made about 1.85 x 1026 orbital revolutions, both
waves begin to encroach upon the surrounding field and undergo interchange
with ambient field surfaces not belonging to the radial order, causing
their paths to become erratic and zig-zagged, increasing their orbital
periods. This can happen very quickly to the outermost wave, causing it
to take languishing orbits in respect to the innermost wave, which begins
to spiral the field.
If
the spiraling is moderate and the differential in periods not too great,
the outermost wave will compensate by striking a closer orbit to center,
in turn shortening its orbital radius and period to less than that of the
other wave, which then follows a outward spiraling orbit, achieving an
orbital radius now greater than the other wave. This is of course all a
matter of geometry where both waves merely follow the orthogonal re-direction
as they undergo interchange with subsequent radials and field surfaces.
In so doing, the field becomes wrapped in the opposite direction. Of course,
nothing is perfect, the outermost wave overcompensating and achieving a
smaller orbit than the other wave, thus reversing conditions with the other
wave now following the greater orbit.
Since
there is nothing governing orbital parity between both waves, presumably
this trade-off between waves occurs throughout their orbital passage, causing
an oscillation of sorts: first one wave taking the closest orbit and wrapping
the field, thus driving the other wave closer to center, and then the other
wave taking the closer orbit and wrapping the radial field in the other
direction.
Once
however, one of the waves seriously intrudes into the ambient field, recovery
to equilibrium once enjoyed becomes more difficult, to the extent, that
expedient re-entry into the configuration's array is denied.
During
this yo-yoing of counter rotating waves, each wave experiences a change
in its wave size depending upon whether it is passing through a series
of concave or convex surfaces, a condition set up by the opposite wave
as it wraps the radials. A cursory examination indicates that the wave
which is moving outward from center, in contrast to the outer wave which
is moving in, as they trade positions, encounters a series of predominantly
concave radials which causes its wave size to increase. The other wave,
conversely, encounters more convex radials, causing its wave size to become
smaller. This is good, since it allows a closer approach to the radial
core of the incoming wave, which, by virtue of it becoming smaller, is
less likely to overlap the interior core.
Presumably
as this whole process continues, and more and more ambient surfaces become
involved, the two orbiting waves comprising and holding the radial configuration
together, make one last gasp excursion as a pair; the outermost wave virtual
dissociating itself from the central core and from the other wave. This
allows the innermost wave to begin to severely wrap the radials, ultimately
stabilizing the configuration, now minus one of its waves, into a permanent
outside-shelled spiral configuration.
During
their last oscillatory swing, both waves undergo drastic changes in size,
with the wave heading towards center always becoming smaller, and the wave
ending up on the outside, larger. This phase is called pre dissociation.
Final
dissociation between waves occurs as an axial shift to either side of the
innermost and smaller wave's orbital plane. This is an imaginary plane
which remains coincident to the configuration's center and the center of
the orbiting wave. Since the waves rotate in opposite directions around
a common axis, a repulsive polar force comes into play, driving both waves
farther and farther away from each other. This phase marks polar dissociation,
shortly following on the heels of pre dissociation.
After
polar dissociation, both waves wrap their respective radials into left-hand
and right-hand spirals, as the case may be. The smaller, and remaining
innermost wave of the radial configuration, now having the shortest orbital
period, is the first to create a shell and evolve into a stable standing
wave. The outermost wave, having moved some distance away, begins to exert
its own influence on the field by wrapping field surfaces it captures,
into a reverse spiral.
Generally,
in the formation of the shell, there is a greater likelihood that an outside-shell
will be formed, rather than an inside-shell. Consequently, the smaller
wave will form an outside-shell. This is also true for spiral configurations
which are not radial configuration byproduct, but otherwise randomly occur
throughout the field.
During actual decay of this configuration, when one or the other of its
two waves eventually spirals too far away from the configuration's orbital
center, causing it to slow down in period even more as it begins to encounter
ambient field surfaces, the instability of orbital period becomes very
severe. Just before decay, which is technically the dissociation of these
two waves from each other, thus dissipating the radial configuration, they
are thought to widely gyrate; first one becoming the innermost wave and
rapidly winding the field, and then the other, until eventually one or
the other, which ever happens to be the furthest out, leaves the whole
assemblage, leaving the
innermost
wave behind in an already greatly spiraled field.
Thus as each wave passes the other, it strikes out on a path more closely
following the other. This restores each wave to a common orbital
distance from the radial center. This process goes on indefinitely
with each passage, producing a momentarily stable radial configuration,
whose waves progressively and together move outward from the radial center.
where
both waves alternately assume the greater orbit and then the smaller orbit;
the wave closest to center spiraling the field in its direction.

As these waves move from an inner to an outer position and visa versa, their wave diameters also change.

Eventually one wave or the other will end up in the smallest orbit, and permanently begin to wrap the field in its direction.
Then the other wave will drive towards it in a counterclockwise direction. Both waves will now be following different orbital distances around a common center, forming a shell of surfaces so tightly wrapped, they are virtually parallel and touching. Under these new conditions, the wave in smaller orbit will momentarily stabilize as a standing wave, shortly thereafter, followed by the outermost wave.

DECAY PRODUCTS
Just as elementary particles in the real world demonstrate a sundry decay
schemes, these geometric arrays also undergo a variety of phases, some
of which might be fleeting, if there was time, some of which are momentary,
and some of which are stable, again, the notion of time having not been
introduced at this level.
The first of these arrays arises spontaneously from the field in the presence
of two simple waves (the photon equivalent) which begin to orbit around
an imaginary, common axis in opposite directions. As these two waves
continue to counter rotate, more and more field surfaces are attracted
to their central core, greatly increasing its density to over three times
the normal field density, so it is estimated.
This array, initially referred to as a dual wave radial configuration is
a single axis array demonstrating a sedentary behavior and a long range
attractive mechanism between other arrays. There are two types (I
and II).

Eventually either of these two types of this array will decay into an intermediate and unstable array, of which there are two types: A and B.




Eventually it is expected, these should migrate together into one orbit
because of the attraction of radial arrays explained earlier, forming a
TRION.
Though the notion of a spherical orbit has not been introduced, it may
now be anticipated, its radius is in part governed by close range geometric
repulsion
relative to each orthogonal orbital plane, keeping these two TRIONS
associated.


The following illustration shows this relationship in more detail.
Only certain spirals emanating from the negative TRION
may interact with spirals coming from the positive TRION,
which collectively drive the negative TRION
in the direction shown; the many short blue vectors showing the magnitude
and direction of the many discrete impulses generated by the IDDIs occurring
in greater frequency in certain areas, and the lighter blue vector showing
the resultant motion of the TRION,
driving it towards the positive TRION.
The green dot represents the direction an object will travel, such as a
simple wave, in the presence of a spiral field, which if to the right drives
closer to the spiral center, and to the left, drives away from center.
ADVANCED NOTES
If two unlike spirals collide and merge, in this case as show, two OSSs, the shell will unwind and breakdown between the two, allowing both opposite directed waves to unwind the remaining two shells, thus leading to the annihilation of both spirals.

Because of this end result, these two spirals represent an annihilation
couple.
Annihilation couples must have reversed spirals and include both ISS and
OSS. Of these, single wave spirals are the most likely to experience
this, because they are stable arrays, and intermediate two wave spirals
having a lesser chance because they are not stable arrays. Given
four possible spirals to chose, both ISS and OSSs may interact and undergo
annihilation.

If the larger and outer wave were unaffected by the presence of the smaller and innermost wave, it too would most likely form an outside-shell. If however, during the rapid development of the inner waves outside-shell, and the still relative close proximity of both waves to each other, the shell formed will be grazed by the edges of both waves, which not only sets up conditions for a standing wave of the innermost wave, but as well a standing wave for the outermost wave, in which case, the innermost fringes of the outer wave just touch this shell already formed by the innermost wave. Simultaneous to this, polar repulsion is taking effect, causing both newly form spiral configurations to slide away from each other along their polar axis. This is the final dissociative step called polar or axial dissociation.
THE INSIDE-SHELLED SPIRAL AS A DECAY PRODUCT
One might say, that in a quick snap, though now dissociated, both waves
continue on to form two independent spiral configurations.
In
the case of the innermost wave at the time of dissociation, it is thought
to evolve into an outside-shelled spiral configuration; similar to an outside-shelled
configuration accidentally occurring spontaneously from the field.
The
outermost wave is seen to favor evolution into an inside-shelled spiral,
which achieves standing wave conditions at the innermost edges of the wave,
thus allowing it to achieve stability and permanence.
These
two new spiral configurations, as byproducts of radial configurations,
of course have opposite spiraling; based upon the direction of travel of
their respective waves before dissociation. As convention relative to the
observer, spiral configurations comprising a clockwise orbiting wave are
called right-hand spirals and spiral configurations comprising a counterclockwise
rotating wave are called a left-hand spirals.
Given
these possible combinations, a radial configuration can decay into either
a pair of spiral configurations consisting of a right-hand outside-shelled
spiral and a left-hand inside-shelled spiral or a left-hand outside-shelled
spiral and a right-hand inside-shelled spiral; the outcome of either being
random.
THE OUTSIDE-SHELLED SPIRAL AS A DECAY PRODUCT
Field
noise is merely a term for the activity within a field caused by the presence
of simple waves. It varies in both wavelength and displacement magnitude.
In the broadest sense, noise is the presence of the smallest and least
energetic system waves permeating their local system region, and it is
this noise which governs the degree of spiraling, which, if their was no
noise at all, spirals would wind up indefinitely, and if the noise level
was not constant, neither would be the electrostatic charge.
In general, Coulomb's law is dependent
upon and governed by spurious and ambient waves in the vicinity of a spiral
array, as a direct consequence of their frequency, size and amplitude.
SPIRAL CONFIGURATION AND RADIAL CONFIGURATION STABILITY
INITIAL FIELD ENHANCEMENT AND RADIAL STABILITY
Since all surfaces associated to this radial order are moving and not glued to it, each and all will eventually dissociate themselves from it. Each time though this wave circulates around the radial center, it will displace surfaces slightly forwards relative to its forward motion and their original positions. But depending upon the orientation of field surfaces in proximity to the radial order, some will escape interchange simply because the wave is cutting through them at too steep an angle such that it can never bulge into them at a point of non-definity, but rather otherwise intersect them well outside the wave diameter, thus disallowing the possibility of touching without intersecting. This is illustrated showing the wave at position b unable to make contact by simply touching without intersecting; which is essential if a point of non-definity is to occur. In this same illustration, both waves at position a and c can undergo interchange with other field waves

associated
with the radial. In the case of the wave at position a, all field surfaces
parallel to the line x (shown horizontal) and lying between line a and
line x will be driven back towards line x because of IDDI, whereas none
lying above line a will undergo interchange. This remains true as the wave
continues to move clockwise passing through position b and on to position
c. As the wave moves between positions a and c, interchange cannot occur.
On the same token, at position b, as the wave drops down towards line x,
interchange can occur, driving surfaces upwards. This of course is not
conducive in maintaining radial cohesion, but rather defeating it. Fortunately
though, on the other side, the wave operates in a much large zone, causing
the surfaces to be driven back towards center, the net result, more times
the waves will be driven towards center than away. This is true for all
reference orientations of line x, as well as for waves traveling counterclockwise.
Cosmic glue in this sense, is all a matter of geometry!
In the case of two waves, one might ask, what keeps these waves rotating
near each other? What keeps them from wandering off? Certainly radial restorative
mechanism has little to do with this, since it provides only axial cohesiveness.
In
order to visualize this mechanism, maintaining both counter rotating waves
orbiting near or on the same plane, we must view the radial configuration
from the side.
In this illustration, the radial configuration
seen from the side, let's assume both waves to be slightly displaced from
each other. In other words, their orbital planes are not coplanar. As each
wave moves forward, it moves through the field set up by the other wave
in its passage; a field where each surface is angled, such that its orthogonal
redirection deflects its passage towards the plane of the other wave, thus
both waves are driven towards the common ground lying between their orbital
planes. It does not matter which side which wave is on, in either case
both waves are deflected inward towards the middle. This is called axial
restoration of counter rotating waves, and directly relates to magnetic
properties.