Callanish
Stone Arrangement
My startup
page is Bing and on the 27th of June in 2017 they featured an image
of the Callanish stones on their startup page image. Since my interest is in
large stone structures, I began looking into history of the Scotland arrangement.
English:
Simple plan of the Callanish
Stones (Callanish I), on
Lewis in the Outer Hebrides, Scotland. Based on that in James Fergusson (1872) Rude Stone Monuments in All Countries: Their Age
and Uses page 259.
The original was apparently drawn by Henry James, but he
made some mistakes (such as the alignment of the central tomb), so I've made
some small adjustments to bring this plan up-to-date.
While the stones are all stuck in the earth like tuning
forks in a resonance chamber, whatever human physical benefit could result would
be far beyond our current understanding of acoustically manipulated earth born
vibrations, seismic or otherwise. The issue discussed here is what message the
geometry might send to us via dimensional and geometric analysis.
This image
is far more precise than one could possibly expect from first glance. What
really caught my attention was when I went to Google Earth and noted on the 12/30/2005
and 5/23/2008 scans that the latitude of the area was 58.197xxxxx where
100/1.71828= 58.197x. Since a lot of the effort I have been doing for the last
couple decades has involved a=1.71828, I imported the image above into a CAD
system and started looking at relationships and potential design intent.
When the
image above is zoomed up in the CAD system, the dark dots turn out to be
elliptical and are a fairly good representation of the stone cross-section at
the elevation where they penetrate the soil.
Even the orientation is quite accurate and is proven in photographs of
today. Certainly Sir James did a fine job of surveying with the equipment of
the era.
Design
intent is separated from random arrangement or religious ceremony aspects when
mathematical relationships begin to appear that cannot happen randomly or
without intentional placement. Arrangements that would require surveying would
leave many readers standing in the cold considering the age the stones are
thought to have been constructed to their current distribution at Callanish.
When the
centers of four stones are all in a precise line and only with the center of
the elliptical shape at ground level, one knows that even Sir James had no idea
where the center was. He simply measured to the edges of the stones and then
put that “footprint” into his drawing, having no idea the stones were in a
precise center to center alignment. Even today with photographs the alignment
of centers would not be detectible in a precise manner. It can only be done in the manner that is
done here.
The two rows
emanating from the circular stones and heading nearly north are begging to have
lines drawn right to left thru them so that they intersect west of the rows.
The CAD drawing gets horribly cluttered as all the relationships develop, so
the start will be only some obvious features.
Sir James
may have drawn the ellipses representing the stones by hand and suspected that
more than two lines might have a common apex, but he would have never thought
to make all the connections that can be seen below. Try to imagine the builders
who placed the huge stones and had no idea (we think) where the center was, or
did they? The center can be found fairly easily by wrapping the stone with say
plaster of Paris, let it harden, break it off and then put it back together
again outside of the stone. That elliptical shaped plaster of Paris ring could
be used to position the stone if you knew that is what you wanted.
One might
envision that somebody was offering to pay big money to build this section of
the arrangement. Can it be done?
Probably not without a lot more information.
The
procedure used here was to first draw the line from right to left using the
centers of two stones. Then using the drag and intercept method, the
intersections were all found. Even with the precision of the CAD system, these
were off a common center a tiny amount.
A new circle was created using the three intersections and then the
center of that circle used as the average center and the lines drawn back to
the far right stone. The amount the line missed the left stone was smaller than
the precision of the stone elliptical shape.
Using Google
Earth and the 10 meter scale at the bottom right from the Sir James image, the
close approximate lengths could be found and entered into a spreadsheet. The
error in lengths can be avoided by using dimensionless ratios. For example, the left portion of the line
from apex to the first stone divided by the distance between stones. A very
common dimensionless ratio is called the conjugate ratio such as (a+b) / (a-b).
If one is lucky, something will provide assurance that the scale is pretty
close.
Since the
latitude uses a=1.71828, it would make sense to check multiples of “a” and
repeated use of phi. The spread sheet shows several other relationships that
indicate this is the right understanding of the design intent.
As just one
of many examples, the chart below shows the top and second from bottom lengths
for the blue 4 line apex. Using the
exact same difference as above, yields a very common number and fundamental to
understanding how matter is related. Fundamental constants as published in the
US Codata series changes slightly every few years, but never a serious amount. It could be these fundamental mathematical
numbers are the center of the movement and under differing circumstances,
return to older values.
I would
never consider anything as meaningful if it were not to at least 5 digits of
accuracy. Five digits is a 1 in 100,000
chance of being random. Repeated use in differing situations further decreases
the probability of random occurrence.
The number
1.3125 comes from the ratio of the Rydberg arrangement of the primary quantum
numbers of (1-1/64) / (1-1/4).
The
dimensionless ratios of the lines have enumerable relationships with 5 digits
of precision. But the sum of the four lines is the square root of 10 x 20 =
632.456 leading one to believe the total of lines in a group should always be
checked.
In my
decades of experience with manufacturing engineering, I am constantly reminded
how difficult it is for mankind to repeatedly make the same thing with any
serious precision. Ball and roller
bearings are items we really need to be precise, but making them comparable to
0.0001 inch becomes expensive. A typical
race car engine costing $100k or more simply has bearings and other precise
elements that are a factor of ten more precise than the more common household
automobile engine.
The folks
who are responsible for coordinating the world’s definition of constants, say for
example Planck’s constant, change the value in the 7th digit or more
every decade or less. The mass sequence of the neutron, proton and electron
change say from 1.67492716 around the year 2000 to 1.67492747 in use in 2017.
This means that for six digits, the mass has remained the same sequence for
extended periods. Even utilizing precise robotic machining methods, we have
trouble drilling holes on spaces more precise than 1/10,000 inch. To solve the
problem, we simply drill the holes a little oversize and that allows pieces to
be bolted together without a lot of field adjustments.
The general
populace doesn’t likely understand that even welding causes pieces to move when
the liquid metal freezes. Any holes in
weldments are generally put in after the welding is completed.
Yet our
education system fails to even make comment on how “mother nature” makes items
separated by galaxies the very precision we commonly accept as “normal”. We
rely on the wavelength measurements of light from distant stars and planets to
understand what material those bodies are made of. But we seldom question “why
mother nature is so precise” when we are unable to even approach that level of
precision.
So if the
reader is a bit confused as to why the humbly measured neutron / electron ratio
is 1838.683xxxx compared to the simple number 1.3125 yields with the same
number sequence, welcome to the foolishness of mankind. There is obviously some
procedure that Mother Nature uses to assemble the elements and molecules, as
well as the electrons that make the whole thing tick like clockwork. The organic
molecules are at an even higher level of complexity.
The question
posed is “Does the creative force use numerical sequencing to achieve the
precision we see in Mother Nature?” It
seems that the Callanish Stones addresses that issue.
2.0625 is
used widely in Egyptian structures
(20625/144)^(1/2)
/ 8 x 10^(10) = 149,597,985.5869
Product of
the six primary quantum numbers is
[(1/4-1/81)
x (1/4-1/64) x (1/4-1/49) x (1/4-1/36) x (1/4-1/25) x (1/4-1/16) x 2 ]^(1/2)
X
10^(10) = 149,597,985.5869
Decades ago
the astronomical unit was defined by 149,597,870.691
The actual
distance in the 2000 epoch was
149,598,022.951
It does not appear the earth to sun
distance is all that random of number.
The Blue
Triangle
At the very
top of the Sir James image above from the CAD system, one sees a blue triangle.
After drawing in the lines and obtaining the apex, the lower angle was found to
be 38.71 degrees. The angle at the apex
was found to be 52.384 and the sum of the two was 91.094 which is amazingly
close to 91.09383, the sequential digits of the electron mass. At this stage of
development, most people would certify you as crazy for thinking the ancients
knew the mass of an electron. But alien advanced intelligence is not the only
source of such intelligence. Autistic folks have been fooling around with
numbers using some techniques that even they don’t “understand” in the
conventional sense.
As it often
turns out in these types of issues, taking the reciprocal of cos (91.094)
= -52.3759 and the tan(91.094) =
52.366377. Both of these numbers are somewhat close to the apex angle of 52.3854
This suggests there might be a solution to the following equation.
Nsolve({x-1/cos(x)
+38.7097916 = 180})
The graphic
below shows the research starting point using an older mass of the electron at
91.0938188 (1998 Codata) and how using the 1/cos(larger angle) gives very
similar numbers and back calculates to the most recent electron mass at
91.0938305.(2014 data)
The number
38.707916 is the 2000 Epoch values for the semi-major dimensionless axis for
the Planet Mercury and is arbitrarily assigned to the bottom angle of the blue
triangle. The left apex angle is arbitrarily assigned the mass sequence of the
electron mass less the bottom angle or 91.0938188 – 38.707916 = 52.3840271.
Subtracting from 180 totals for a triangle leaves the top angle at 88.9061813.
The trial
and error solution is:
88.906169489
for the top angle
52.384038899
for the left apex angle which is 1/cos(top angle)
38.7097916
for the bottom angle as the only input to the equation.
This then
yields 91.0938305 as the sum for the mass of the electron as it currently is
listed in the 2014 Codata.
It was then
noted that (91.0938305 – 90)^(1/8) x 16 = 16.18038 which is remarkably close to
phi x 10.
Given that
one could be certified insane for thinking the electron mass has anything to do
with the planet Mercury semi-major axis, one wonders why on earth might this
scheme show up in stones thought to be placed thousands of years ago.
Working
backwards from the 10 phi outcome, one reaches (16.18033989/16)^(8) = 1.093808417
plus 90 leaves the apparent sequence of mass of the electron at 91.093808417.
Checking the published mass of the electron from 1969 to current 2014 it was
never this value, although being fairly close in 1998 at 91.0938188. Perhaps
then the idea is to use the mass of the electron as a time clock and indicate
that when that happens, something important is going to happen, such as the
return of a destructive comet or asteroid. What else could be so important to
make such a complex and intensive effort creating the Stones of Callanish?
Of course,
the use of phi to find the change from 90 degrees has nothing to do with the
electron mass. Perhaps it is just an
accident that the change from 90 plus the 90 happens to be the electron mass
sequence of numbers. We need more
information and it comes easily in the dimensional lengths of the triangle.
Continuing
to use the scale factor developed in several areas, we find the hypotenuse at
124.08104211, the short leg at 77.61145102 and the long leg at 98.30492768. The
sum of these three is 299.997420817 and dividing by 2 yields 149.99871. It was
noted this was quite similar to the 1.499964 which is the ratio of the natural
logs of the dimensionless Mercury semi-axis and dimensionless Mercury orbital
period. If the scale factor was changed to make this exact, it would have an
immeasurably small impact on other dimensions and no impact on dimensionless
ratios.
The number
1.499964 is part of a series of numbers for each of the planets that
essentially reflect Kepler’s Third law relating the ratio of the powers of
distance to period of orbit. In Kepler’s time, much more was known about the
inner four planets than the outer gas giants. Also it depends on one’s point of
view if 1.4979 for Uranus is close enough to 1.5 to fall under the same
law. Most of the work of the Kepler days
was a two body sun and planet system and not the modern day computer models
that consider all planets collectively. And further, it is now known that the
Titius-Bode Law is much more accurate by eliminating Neptune and Pluto which
are actually heavily impacted by the Kuiper Belt. The chart below shows the
ratio for each planet.
It seems
relatively certain that the plans and construction execution of the Callanish
Stones was very accurately completed. There is serious doubt whether the plan
could be executed in modern times using modern equipment.
The
conclusion alternatives that can be drawn from the Callanish Stones is 1) the
stones were placed by assistance from advanced civilizations originating on
other systems; or 2) the stones were placed with assistance from probably only
a few who could make contact with their normally subconscious minds and had no
idea what they were doing. The balance of this effort will be to simply publish
what has been found and little about why it was done or who might have done it.
The Central
Stones of Callanish
The partial
image below shows just how overall accurate the diagram is. From the centerline of the stone at the
bottom of green dashed line to the apex of the blue triangle now marked in
green is 161.8055 feet which differs from 161.8033989 by 0.025 inch, far more
precise than should be expected and perhaps to some degree accidental.
However, it
appears to call attention to the builder’s infatuation with the use of phi. The
green dashed line is exactly due north according to the Sir James diagram
though there is some doubt as to whether he got north right or not. Note too
that the green dashed line just touches the two stones to the north like they were
trying to indicate you should sight thru that area.
The repeated
use of calculations of phi suggests the builders had some fantastic calculating
technology in order to work out this elaborate connectivity with phi. However, Mother
Nature seems to work phi into things like sea shells with amazing detail.
The central
circular area of the structure has many complexities. One feature is the use of
three point circles to show that the centers are in alignment. One can see that
a line starting at the center of the outer red circle goes northerly to align
with the east row of stones. A line from the center most and largest stone goes
up the western row of stones. The angle between the two rows if shown precisely
“a” x 1.2 =2.061938 but cannot be measured this precisely on this drawing.
Clearly it is very close.
The overall
purpose of the Callanish Stones appears to be to warn those who dig into the
design enough to find perhaps a coming calamity, or even an apocalypse. The
stones above on circles whose centers are marching towards the center of
mankind seem to represent asteroids which are much more orderly in their
movement than comets. The diagram below
seems to indicate a reference to the action of comets which would come close to
the sun and thereby pass near Mercury; hence the reason for the blue triangle
using Mercury astronomy references.
The Issue of
Comets
The circle
in black below was created using the three upper stones where the angle is
marked 26.0506629. One should then note
that three other events are captured on the same circle, in particular the
green central circle created from the three curved surfaces in the “mankind
shape” in the central stones.
The radius
of the black dashed circle is 143.747 feet and the cosine of 26.0506629 times
160 is 143.745. The perimeter of this circle is 143.747 x 2 x pi = 903.18904
and that perimeter taken to the 3/2 power and divided by pi = 8640.0869 or 1/10th
86,400, the number of hours in an earth day. This development now links
measurements to time and a future date can be calculated as to when a potential
comet may strike or come really dangerously close to earth.
The earth
orbital basis was defined arbitrarily for the year 1900 AD at 31,556,925.9747
seconds based on 86,400 seconds per rotation. In a period of 10,000 years from
1900AD the tropical year will go from 365.2421988 days to 365.24159706 days. By
developing a synthetic increase in the number of seconds per day, the number of
days in a year decreases. The number 86,400.869 may indicate a time some 60,000
years into the future. But the precision
of the current measurements could likely be radically improved by a more
precise analysis.
One should
not discount the fact that three point definition of a circle leads to six
points occurring on the circle. This is highly indicative of a well-conceived
and executed design and construction. The shape of the figure in the central
area does seem to represent the shape of a humanoid figure and there are three
curved surfaces sufficient to define three other circles in blue. The centers
of those circles were used to set the green circle as a more or less average
central point.
One should
note the eastward blue line that connects the large central stone on the left
of center, the central green circle and a third stone due east of the central
area. All of these contributing factors suggest complex design intent.
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© Copyright 2017
Jim Branson,
Retired Engineering Mgr, knowhow at ctcweb dot net
