Alfred Evert 2003-03-16

02.10. One-Two-Three-Four

Three large Circles
At previous chapter essential characteristics of basic movements of ether were worked out. These movements are composed by track-sections of different kind, with steady smooth transitions. There are frequencies with relations of 2/3-law, where 4, 6 and 9 are sequence of most small integers. Turnings occur same time at all three axes of space, at different radius, so turning momentums in total are balanced.

These complex movement´s processes were deduced by considerations, band of all possible swinging movements must be closed within itself (thus loops). As most simple shape, fictively were put three large circles around a sphere (at previous chapter Two-Third and Three at picture 02.08.02).

In retrospect, this picture shows ´unravelled´ shape of complex spiral-cluster-tracks. This simplified model here once more is used as starting basis for additional considerations. Also simply is assumed, all three large circles show same radius.

Eight Triangles
At picture 02.10.01 left side at A is shown a ´globe´ und three large circles are marked resp. diameters are drawn schematically as disks. Horizontally lies disk of equator (blue), vertical stands 0-degree-meridian (red) and right-angled shifted 90-degree-meridian (green).

These are three large circles, which cut each other at six points (North and South Pole, each on point at equator at 0-, 90-East-, 180- and 90-degree West). Views at all six points of intersections show same picture.

These three large circles divide sphere into eight likely parts resp. surface is divided into eight likely triangles (naturally with bended lines). These eight surfaces remember at 2 plus 6 electrons at inner spheres of atom model (however this subject is discussed at later parts).

At this picture right side at B, view centrally at one of these eight triangles is shown (and also here, views onto all eight triangles would show same picture). Triangle at front is coloured (red). There are drawn three large circles, also their parts at backside of globe. On can see, also at opposite backside of globe a triangle exists (marked by grey colour), however shifted by 180 degrees.

Fractal Division
If now more possibilities of ´order-criteria´ than previous only three large circles are wanted, fractal division of triangles would be good idea. As an example, at this picture left side at C is shown, further three large circles (marked black) divide that triangle into four smaller triangles of likely shape (however here are only drawn curves at frontside of sphere).

By additional large circles naturally also new triangles could be built, e.g. each previous triangles once more is divided into four even smaller triangles at picture right side at D (by this view, triangles seem to be different, at surface of sphere however all are same size and shape).

Each additional large circle thus would allow additional turning direction of ether. At first division (C) are added three large circles, however four are necessary to divide all eight surfaces correspondingly. At second division (D) are added six new lines, however again not all parts of surface are divided same kind.

So this fractal division would be possible for producing additional order criteria. This method accentuates likely shape of surfaces, however demands differing numbers of additional large circles. Preferably however should be achieved most systematic extension of first three large circles, i.e. exactly each three additional large circles should offer new order-units and -possibilities.

Four North Poles
That first set of large circles has one ´North Pole´, at which two large circles intersect right angled, likely at ´South Pole´. Third large circle is ´equator´, which is intersected by previous both large circles at four ´poles´. At picture 02.10.02 left side at A this starting basis is shown. Only North Pole is drawn and only one fourth of each large circle is marked, thus only one triangle between three poles is shown at globe.

If now one would install additional ´North Pole´ at this globe at different place, all three new large circles inclusive their intersection points correspondingly would be placed at other locations. One could install one or many new gratings at globe correspondingly, shifted versus each other anyway.

In order to create order-functions, however systematic approach is demanded. As an example, this triangle at globe (at A) is divided by three lines as ´degree of latitude´ and three ´meridian´ lines, each by 22.5 degrees distance. At intersection points of these lines are drawn three additional north-poles (marked by squares).

So all new lines are separated large circles, each new line of new north-poles must show into different directions. Large circles of each new north-pole here are only marked by short lines. These lines show angles versus each latitude and meridian of 22.5, next 45 and lastly 67.5 degrees.

These large circles represent directions of (overlaying) turning movements of ether. As now all twelve large circles are shifted versus each other, so turnings of ether into twelve different directions are possible.

At this picture right side at B, C, D and E these ´shifted´ directions once more are visualized. Plane of equator (blue disk) is positioned horizontally at B and afterwards (at C, D and E) tilt each 22.5 degrees. Also drawn are here each one circle-segment of Y-plane (red) and Z-plane (green). Also these planes are shifted around north-south-axis by each 22.5 degrees, so show into each different direction.

Four times Three
Naturally, basic movements of ether practically could be any kind (analogue to both previous concepts or also quite other kind). Based on previous considerations however, ether will be in swinging movements, i.e. there is present number One as one complete revolution.

This swinging won´t exist only within one plane, also not only at two but into three directions of abstract space (cause three dimensions are sufficient for description of any location). So also number Three is really represented.

These swinging movements at three planes won´t have same turning speeds, but are ´waves´ of different ´frequencies´ (however here realized as concrete revolutions of ether´s movements). By considerations and observations of global scaling, two-third-gradation was detected being really important concerning real occurrences. If frequencies thus are graduated by relation of two to three, also number Two really is represented within ether.

Number four is next to build corresponding movements within ether. This number is important cause it also is base of 1/4, 2/4 (so 1/2) and 3/4. That´s why I suggest, ether basic movement in principle (besides Two-to-Three) is based also at that Three-times-Four (or even Three-exponent-Four, what e.g. Peter Plichta pointed out to be essential order in nature).

Unlimited or limited
Next question now is, by which regularity each three frequencies of additional three ´bands of frequencies´ (resp. nine new or all twelve turning movements) are graduated.

After 2/3 now could follow 1/2 or e.g. 3/4, 4/5, 5/6, 6/7 etc. as graduations. However, all facultative possibilities (represented by Euler-Number of 2.7182818...) would demand ´unlimited´ turning directions. As mentioned above, laws all time determine restrictions. Just nature-laws reduce theoretically unlimited possibilities mostly at only one admitted relation or value.

So if ether´s basic movement represent most basic laws and regularities of nature quite real (no longer only by abstract theoretical space of some numbers), possibilities of movements must be limited rather strong. This would be realized e.g., 2/3-law is used generally, at each of four bands only shifted by ´octave´.

Four Graduation-Bands
At picture 02.10.03 left side is shown first band of frequency-follow 4-6-9 (previous starting basis of most small integers). If now most coarse swinging (4) is doubled, next higher integer sequence of swingings by 2/3-law is 8-12-18-27.

If three upper values (12-18-27) were valid as frequencies for next band, that ´octave´ would be resonant with both previous values (6/12 and 9/18), but would enlarge band by factor three (9*3=27).

Analogue are installed bands three and four at this picture. At this table thus within vertical bands always factor 1.5 is working, in horizontal row always factor 2 and into diagonal direction always factor 3. At this table thus come up practically all values of importance at theory of global scaling: 9-27-54-81-108-162-243, in addition 4 and 6 and each multiple of.

At global scaling, these nodes are assumed to exist within abstract, ´logarithmic space of physical scales´ as result of standing waves (with vague ideas about medium). Here however, these swinging movements plus nodes are overlays of totally real movements of totally real medium of ether (what however only works by understanding ether as gapless continuum - and ether really is).

Nineteen and Four
It already was mentioned, 4 + 6 + 9 is 19 and this number is important order factor within periodic system of chemical elements and also at chemical compounds, especially of organic chemistry. Especially Peter Plichta with his ´Prim-Number-Cross´ did point out these facts (nevertheless put this order into ´four-dimensional space of (prim-) numbers, thus only as abstract model).

Addition of frequencies of second band (12 + 18 + 27 = 57) are 19 multiplied by 3. Just these four (1+3) rows of each 19 possibilities occur at most different appearances. This would mean, these two frequency-bands are (at least resonance-) area of material occurrences of chemistry. There are 19 times 4 ´events´, resulting of overlays of complex movement´s processes, serving as order-factors, in shape of ´hard nodes´, which also are basis for effecting resonances.

Here appears also number 81, that remembers at 81 stable chemical elements. This occurrence however is based at other regularities (by formula detected by Plichta) and is described later at part ´Atom-Model´.

Complete Cycles
Ether basic movement is composed of complete revolutions into these twelve directions. By overlay of all turnings, track of common movements at a whole is multiply twisted spiral cluster, nevertheless previous large circles represent ´un-winded´ process into all twelve directions.

At each of these circled tracks, at each time-unit occur different number of revolutions. If 4 and 6 and 9 revolutions occur within same time, one ether point will come back to original location finally after 36 time-units. So complete cycle of that first frequency-band are 36 units. If material area also includes second frequency-band, so complete cycle will take 36 * 3 = 108 units.

When elementary particles (electron, proton, neutron) were detected to exist of sub-elementary particles, first some hundred of these ´particles´ were found rather short time. However these are no parts at all, by previous consideration it´s clear: these are ´movement´s section´ within space that occur while one cycle (of material occurrences) inevitably.

Next cycle including third band are 108 * 3 = 324 units. That´s range of sub-elementary particles detected now. So these are movement´s sections resonant with nine frequencies. That´s astonishing, cause reaching beyond area of material occurrences. Indeed, these movement´s sections are not observed direct kind but are only to deduced secondary by symptoms.

Cycle including forth band is complete by 324 * 3 = 972 units. So nuclear researches did only half work up to now. However it will be hard to penetrate into this area by material machines - to become aware of these ´high vibrations´ are demanded other ´sense organs´.

Limited Choice
By these considerations, thus structure of ether´s basic movements is restricted to turnings into twelve directions, each three as one band of frequencies, four bands with overlapping frequencies, all organized by 2/3-law. By overlays results most complex process of movements, which serves as basis of resonances and as ordering factor for enlarged movement´s structures.

By previous considerations would exist only some thousand ´variations´ (previous 972 nodes) - thus most limited basis. However, huge variety of nature does exist only by diverse different ´conglomerations´ of atoms, these exist of only some different compositions of electrons etc., so lastly are demanded only few ´brickstones´ (if one doesn´t interpret movement sections as hard-core sub-elementary particles).

Indeed, demanded are only one area of electrons, one of photons, one of neutrinos - and one of ´spiritons´. Four bands of each three frequencies and variety of common multiple will do - as discussed at further parts of this workout.

02.11. Summary Ether-Physics and -Philosophy