Reference: RT114
Date: 19-Dec-94
Author: Ray Tomes
Email: rtomes@kcbbs.gen.nz

Based on cycles in many different disciplines on earth, the author
developed a theory that non-linear systems will develop a particular
pattern of harmonics over a very wide scale of sizes.  This was
found to predict very accurately the scale of all the significant
observed structures in the universe from galaxies and stars,
through planets and moons down to atoms and particles.  Quantisation
has been reported on many of the scales before, but not for
stellar distances.  The predicted quanta of stellar distance
in light years would need to be the same as the common cycle
periods observed on earth in years.  These are 4.45, 5.93, 8.9
and 11.86 years and others.  Stellar positions were examined, 
and the predicted quanta found.  This makes absolutely clear
that cycles on earth in such diverse disciplines as biology,
geophysics, and economics all have their origins outside the earth.

Keywords: Cycles, Stellar Distance Quantisation, Harmonics

Based on the authors harmonic theory (see paper RT103 for an
outline) a stellar grid was predicted.  Actually it should be
described as multiple grids, because there are several different
strong quanta, and many more weak ones.

The first test was that if there is a stellar quantum, then there
should be many stars at distances of the unit times 1, 2, 3, etc
and also the square root of 2, 3, 5, etc.  These can all be worked
out by pythagoras theorem in 3D, along with the expected frequencies.
When actual stellar distances were examined, they were found to
be very similar to this pattern with a unit of 4.43 light years.
This agreed very well with the author's estimated quantum of 4.45
years from cycles research and E Dewey's estimate of 4.44 years.

Two other tests were made.  The nearby 25 stars (from Norton's star
atlas) were entered as latitude, longitude and distance.  Three-D
co-ordinates were calculated, and the celestial sphere was searched
for directions in which the stars tended to lie on planes at
distances of 4.44 light years apart.  Over the celestial sphere,
three directions (almost orthogonal) were found at which there
was a very strong tendency to lie in 4.44 light years apart planes.

The slight departure from orthogonality appears to be so as to make
the diagonals of the "squares" become as near as possible to
4/3 and 3/2 rather than sqrt(2).  This makes sense, because for
all powerful harmonics, there are moderately powerful ones with
periods (and hence distances) with ratios of 4/3 and 3/2.  This
was discovered first by E Dewey, and independently by myself, and
the reasons for it shown in my harmonic theory.

The other test performed was to take the distance between all
pairs of stars in the nearby stars (not just distances from the
sun) and plot a histogram of their distances. The peaks in this
histogram match very closely the peaks in Dewey's table of cycle
periods found on earth, and the values predicted by my harmonics
theory.

Number Of Star Pairs At Distance                            *
                                                            *
                                                            *
                                                 *          *
                                                **          *  *
                                                **       *  ****
                              *     *   *  **   **   *   *  ****
                      *  * *  *     *   * *** ****   * *** ******
*         *    *    **** * ***** **** ************** ***** ******
0    1    2    3    4    5    6    7    8    9    10   11   12
                      A       A     A       A    A          A
                     4.45    5.93  7.12    8.9  9.6       11.86

Distance between star pairs in light years --->
Also shown (by A's) the expected universal harmonics, and the
common cycles periods from Dewey's catalogue.

It is in fact quite revealing that so many stars can maintain
such an interesting pattern of distances.  I believe that the
slight discrepancy of the diagonals of 4/3 and 3/2 for a "square"
of side 1 will result in a gradual spiral twisting motion over
large distances.  Such motions have been suggested for stars
as they "orbit" the spiral arms of the galaxy during rotation.

With this paper, the author has shown that quantisation on the
scales of galaxies, stars, planets, atoms and particles are all
consistent with the author's harmonic theory.  The stellar case
is very appealing, because the periods predicted were originally
discovered in earth based cycles and this actually led to the
development of the theory.