Tikal-Geometry
Introduction
The reader will find herein an awakening to knowledge not
known by anyone on earth except those who read onward. This knowhow is not terribly technical at
times, and anyone can easily self-decipher with minimal computer skills and a
working knowledge of Google Earth and perhaps having taken high school physics
and calculus. It is recommended that the
reader breeze thru with the first reading, and then go back as certain items pique
an interest.
At a minimum, this exposes the desire of at least some ancients
to reveal something they knew about to modern mankind and maybe even a “device”
capable of dealing with the detrimental affects the situation develops. This is about the Great Comet of 1680 but is
also about the discovery of Planet X now advancing at the Jet Propulsion Lab in
California, in particular Prof. Michael E Brown at Cal Tech. The two objects are one and the same. The two
will be combined herein to Planet 1680.
Paintings of the Planet 1680 indicate it to be apparently
the size of the moon. However, the moon
and sun appear to be about the same size (eclipse) and the Planet 1680 never
got much closer to earth than the sun.
This would make the comet something like the size of the sun and nearly
as massive. It is a sun grazing comet
and the permanent tail is much larger than the sun. It appears to be a white or
brown dwarf collapsed star similar to Sirius B orbiting Sirius A. It appears to have had a major impact on the
sun as the year 1680 is smack dab in the middle of the Maunder Minimum.
The layout at Tikal is meant to first cause us to think much
more technically than typically assigned to ancient structures. The proof is in the “massive redundancy”
exhibited all over the site. The extreme technologies are demonstrated in very
simple methods that only very advanced intelligence can put forth in a way our
modern population can understand if they put out the effort. We simply must entice our more technically
inclined people to examine sites like Tikal.
This introduction to ancient knowhow will assist many in
developing a better understanding of earth-human development and serious
revision to the common theories of human development. It may even cast some new thoughts towards a
reader’s spiritual alternatives.
Lintel Dating Issues
In order to get into the scientific phase, we
need to question how we got to where we are in understanding Tikal. A lot of research has gone into dating of the pyramids using
“Style Dating” and other methods of deciphering writing on the “Lintels” as
depicted below from Temple I as just one example of several of the pyramid
capstone area. Structural Engineers such
as me see the real definition of a lintel as a beam spanning an opening such as
a door or window that holds up masonry such as bricks or small stones. Generally, these beams are selected based on
using their optimum “bending stress resisting” capability. Since their strength in “bearing stress” is
much higher, they do not penetrate the end wall more than a few inches. In a modern frame building, a double column
stud such as a 2 x 4 or 2 x 6 inch are the support columns and the header, or
lintel, is a pair of 2 x 10s standing on edge atop the two columns.
The header or lintel never penetrates the end wall more than
necessary to carry the perceived design bearing load. In the image below from Temple 1 capstone
area, one sees that the lintel is almost twice as long as the opening. Data from Tikal Report No. 6 from www.latinamericanstudies.org shows that a typical thickness height is less
than 8 inches for a lintel perhaps a foot in width and 12 feet in length. An
appropriate lintel for that location would now days be a 2 foot x 1 foot width
box steel beam with a shell thickness of near an inch requiring a major crane
to set it in place.
The fact that many of the lintels in the Temples of Tikal
have been removed to distant museums is proof that they are not needed
structurally. In that tropical climate,
wood could be expected to deteriorate in just a few decades to where it might
simply fall down of its own weight. The
top and bottoms penetrating the walls would decay enough to where the lintels
could slide out one by one towards the opening.
It is unfortunate that these lintels were shipped all over the world and
it took a major effort by the Tikal Project to trace them back to their
original location with still some uncertainty as to whether they demonstrate
the construction period.
In the image above, it is clear the first stone structure
above the opening and overlapping the lintel is designed to span the
opening. It uses stones much larger than
the typical bricks and cinderblocks we use today. This keeps the lower stones over the doorway
from wanting to spall downward, causing a major collapse. One must remember this area of Tikal sees
substantial seismic activity routinely. The fact all of these pyramids have
sustained little seismic damage is a major credit to the builders.
It should be noted that radiocarbon dating didn’t really
achieve acceptance until long after the Tikal Project was completed. Since the nuclear testing done in the late
1950s to 1960s made serious doubts come into question of the precision of
radiocarbon dating, not many archeology projects could afford the costs at the
time. And if we have doubts as to
whether the surviving lintels are representative of the construction period,
why bother?
The real purpose of the “lintel” may be to shield the
opening from any acoustic, magnetic or electro-static activities which may be
the purpose of the overall structure.
The builders may have left written instructions for surviving
civilizations to replace these “lintels” regularly and carve the date so that
the next generation knows when they were replaced. Too bad the conquering Catholic Christians
burned the Codex documentation.
One should just look at the capstones and wonder how we
would even do that in modern times. At
least a modern skyscraper has a growing steel inner structure making it
possible to get materials to the top.
Just how in the world does one build such a steep and heavy object on
such heights? And when did modern or
ancient religious structures been built with a beautiful pyramid on the bottom
and then capped off with what is undoubtedly one of the ugliest structures
imaginable? If I were their god, I would
not be happy with such an ugly top. And
why would you build seven or more such structures in such a small area?
It is likely the builders built the capstones from the
inside out, making the capstone at least temporarily hollow. If being hollow wasn’t desirable, the inside
passage could be sealed off as the workers departed back to the top chamber. The top chamber certainly looks to an
engineer like a resonance chamber with the door a “chamber neck hole” like the
hole on a guitar.
Clearing the Debris at Tikal
The image below from Maudslay efforts in 1880s shows just
how much soil and foliage was on the pyramids of Tikal when first
discovered. For an 18 inch diameter tree
to grow on the top of the layers of the pyramid and not blow down, would
require upwards of a foot of good soil that didn’t wash away in the rain forest
environment. One can see bottom left
that the soil is just as thick as the angle of repose will allow it to be.
So where did this soil come from? We know that the fallen trees and brush on
the surrounding land can produce copious thicknesses of carbon matter, but it
requires at least some soil to get started.
Initially, small plants only requiring a portion of an inch of soil
would populate the surface with small plants that would decay and start forming
a layer of essentially topsoil. This
type of process would go on for millennia until there was enough topsoil for
small trees and brush and then finally large trees as shown above. Some of the pyramids today show signs of
fresh moss and small plants that have not been tidied up as they should.
Since stumps that would be left behind from falling trees if
saws were used to cut down trees are a bigger problem than the trees, this
clearing operation probably used what was popular in the day called a “donkey
engine” which is basically a boiler to power a steam cylinder driving a winch
not that all unlike a steam locomotive.
This means there could have been activities on the surrounding surface
capable of accidentally moving large stones if one was not careful. Maudslay was an experienced archeologist, so
we hope that the surviving stones retained most of their original placement
precision. This point is made because
the reader may question the precision attained elsewhere in stone placement.
The image below shows that many of the stones were not damaged during logging.
The volcano Mt. St. Helen in Washington in 1980 dumped huge
quantities of ash over much of the area east where the prevailing winds pushed
it. But even out just a hundred miles, the depth of the ash was only a fraction
of an inch. Typically, most volcanoes do
not erupt all that often and those that do often do not put out that much ash.
In the Tikal Area, the prevailing wind is off the Atlantic
Ocean towards the west. The major
volcanoes are primarily downwind from Tikal.
There is a major volcano in Chiapas, Mexico to the northwest, but that
too is more likely downwind. So how did
so much soil get atop of the pyramids and also in a fairly thorough covering
and not unbalanced from say a prevailing wind?
About the only way that could happen naturally is from the impact of
long periods of time. If the soil on the
Tikal pyramids came across the ocean from the Sahara desert, it took a very long
time.
On the other hand, maybe the situation is like Gobekli Tepe
and the builders purposefully covered it up to preserve it until Christians
quit messing with the natives. In 1883
Sir Petrie was making a serious survey of the Great Pyramid of Giza and the
western world was gaining a deep respect for pyramids. It is thought Tikal was discovered around
1840 when the government of the area was making serious changes. People were migrating from Europe to make
plantations in the new world. Since
there was water in the area, somebody probably found one pyramid and climbed
high enough to see the others and took interest in them. The photo above was taken in 1881 and is
probably representative of the first real effort to examine the pyramids.
If Tikal is what this report is finding, it might have
occurred to the builders to camouflage the pyramids and delay the discovery a
few centuries. The first explorers from
Spain were pretty ruthless and perhaps even likely to blast holes looking for
gold.
The surrounding ground level structures would already have
been mostly covered in a couple centuries anyway.
Tikal Pyramids to Planets
The image below shows just how many temples (pyramids) align
with planet positions in the year 46 BC near the summer solstice in June. Temple I with earth, temple II with Venus,
temple III with Jupiter, temple IV with Uranus and then Temple V with Planet 1680 to be discussed further below. There are numerous dwarf planets out in the
Kuiper Belt area, some of which may align with the complex on the Southeast at
Temple VI. There is not good information on these dwarfs and even Pluto data
doesn’t easily go back to 46 BC. The
selection of that year will be explained below.
Not only are the azimuths really close on all except Uranus
at Temple IV, one must keep in mind that in 2000 years the planets make many
dozens of revolutions and just a slight error in data could move the position
15 degrees, which is all the error there is in Uranus and Temple IV. The
software Hplanet by John Walker (founder of Autodesk) was issued in 2006 and
data for Uranus available then could have had some error in it. The source code was downloaded and inspected
in detail but no error was found. On the other hand, it will be argued below
that Tikal actually does something and maybe the requirements for that purpose
outweighed the need to be completely precise on the layout. If the reader
cannot find the tealeaves in that image….there is not much hope.
There is no way that the planet distances and azimuths could
match up accidentally. There is something in our solar system that organizes
the planets on a 1151 year cycle such that the 46 BC positions are essentially
repeated every 1151 years for the inner planets and slowly migrate around for
the outer planets.
In the image below one can see how the planet positions are
very similar on an 1151 year cycle. Most
readers are probably not aware that the earth axis tilt is engaged in a 41,000
year cycle. It gets out to a maximum
angle of 24.6 degrees from vertical to the plane and then reverses over roughly
a period of nine 1151 year cycles and goes down to about 22.2 degrees where it
reverses yet again about 20,500 years.
This cycle is covered in more details on other blogs. It is clear now that the Titius-Bode Law is
right and only deviates out near Neptune because of the impact of the Kuiper
Belt and Oort Cloud major bodies.
The Saturn Complex
One then might wonder if there is anything there that further suggests a
link to Saturn.
If the reader goes to Wikipedia and views the efforts on
Saturn you will find it has dozens of moons but most of those too small to be
seen from earth even with telescopes. We
know about those small ones only from
space probes. It is peculiar that Wikipedia
happens to discuss the seven largest and most widely known moons in a special
section.
The image below shows an artist representation of the Lost
World Area called the Plaza of Seven Temples.
Alongside is a chart discussing the seven larger moons. In reading the details there are about a
total of 17 moons that are significant and can be seen from earth. Note there are 17 structures in the
artwork. Titan is by far the largest
moon in the group and maybe is “double represented” by the pyramid outside the
ring to the northwest, as if a “blow up section” from the whole. Much more real measurements need to be taken
in the area and the tree foliage prevents that from happening via Google Earth.
image lost....see Wikipedia on Tikal
Is Tikal Operational?
In the high school physics classes of the early 1960s, it
was popular to have a vacuum bell and put an alarm clock inside, pull the
vacuum, watch the alarm clock start dancing as it went off but with no
sound. As soon as the air was allowed
back in the vacuum bell, you could hear the alarm thru the glass bell. This was proof that you cannot have sound
traveling in a vacuum. The conclusion often
was extended to space, which at the time was thought to be a vacuum, and that
sound could not travel through space.
As time went on and we learned just how much of space is
invaded by ions from stars like the sun, and of course when we began to hear sounds
as the astronauts went around the moon, there became the issue of “How is it
possible to hear sounds in space?” It
turns out there is such a thing as “ionic acoustics” where sound-like vibration
is transmitted via the ionic particles. Instead of bouncing off each other like
real sound on earth, the particles use electrostatic forces to convey the
vibration of one ion to another. It
turns out this type of sound travels much faster because the particles do not have
to wait to physically travel from one location to another.
Below are two images of typical comets like Halley’s and
Hale-Bopp. These photos realistically
show the size of the comet because of buildings and trees in the photos.
When Hale-Bopp last appeared not many people even bothered
to take a picture of it because it was not “Great”. In the year 1680 when the Planet 1680
appeared, there were hundreds if not thousands of paintings made like the ones
below.
Note the moon in two of them and there also are buildings
which can be used to get a fix on Most comets are smaller than the average size
in the asteroids.
When people typically see that Comet 1680 appeared to be
larger than the moon, they don’t realize the significance. We know from eclipse analysis that the moon
appears to be the same size in the sky as the sun. That is because the moon is some 250,000
miles away while the sun is 93 million miles away. Comet 1680 never got closer to the earth than
the earth/sun distance of 93 million miles.
Therefore, Comet 1680 is approximately the size of the sun. The tail is much wider than the sun. This Planet
1680 is huge and very massive.
The argument here is that Comet 1680 and Planet X pursued by
JPL researchers are one and the same.
And it is not a typical comet of ice and debris. It is a collapsed star like a white dwarf or
brown dwarf. It has a major impact on
the solar system order as described below. It seems ironic that science of
years back discredited Titius-Bode Law because they feared religious folks
would argue that it meant God Created the Solar System. It turns out that it still was a natural
event.
This is a portion of an email message sent to Professor
Michael E Brown at the JPL facilities.
It proclaims the heretofore undisclosed impact of the orbital period of
1151 years as on the solar system and in particular on the earth axial tilting
cycle on about a 41,000 year cycle.
Since the data JPL Horizon Dec 200 system has erroneous data for Comet
1680, the object was simply called Planet X until it gets found….he hopes.
Attn: Michael E Brown
Integer 1151 / (planet period J2000) = integer for most
planets
Uranus similar ratio x 4 = integer
Planet X period = 1151yrs / 2 quite precisely
Earth axis tilt cycle = 1151 x integer 33 thru 36 for about
41,000 years
Axis reversal takes about three 1151 year periods
Planet X location on radial line from sun thru earth during
summer solstice
Planet X is on a sun grazing orbit, highly elliptical, not a
circular orbit
Solar System planet configurations repeat on 1151 yr cycle
from solstices
Signature radiation from a collapsed star that doesn’t
appear to move is likely thought too distant to worry about.
Planet X will do substantial damage to earth next pass in a
couple hundred years
You need to locate Planet X ASAP in order for timely
preparations for disasters
This data from research on ancient sites around the world
The spreadsheet below clearly shows the impact of an 1151
year cycle on the J2000 epoch data for planet orbital periods. This causes the planet patterns to repeat on
a 1151 year interval except Uranus which is 4 times its interval.
The full impact of Planet 1680 can be seen above in the graphics from Hplanet Software by ACAD founder John
Wheeler. As mentioned note how the inner
planets are quite precisely in the same position while the outer planets have a
very distinctive collective advancement counter-clockwise until they have a
“near passing” with Planet 1680.
The path is thought to be at an incline to the earth/sun
plane and in the image above the red line is meant to show “incoming” though
that is not known with any certainty.
But it is one or the other.
Starting at the bottom right at -46 BC and progressing upward, one can
see there is potential for a Jupiter and Saturn influence in 2256AD and
potentially could cause a major influence on earth. The likely 4 billion people then living near
an ocean would likely suffer a major disaster.
The graphic is only “representative” and is not precise enough to
calculate anything in great detail. At the scale of the orbits, the planets
would be micro-specks. Planet 1680 was a sun grazing event.
If the reader has knowhow to use the Horizon DEC 200 system
at JPL available via the internet using email automatic input, you will note
that Comet 1680 has a far different set of data points. In emails with the Website Manager Alan
Chamberlain, the data they are using came from the late Dr. Marsden who is
thought to have acquired his data from the work of Encke who did his work 100
years after the comet passing in 1680.
Chamberlain expressed deep concern over the accuracy of the data they
are using but has no way to verify it since the passing of Dr. Marsden. Sir Isaac Newton, Dr. Halley and others
thought the cycle was about 575 years in the year 1681.
Comet 1680 did in fact come to perihelion at the winter solstice in December of
1680. Since the cycle is quite precisely
575.5 years, it next comes on the summer
solstice in 2256. As shown above, earth is on the same side of the sun as
the approach and departure of the planet.
In 1680 and all intervals of 1151 from that year, the earth is on the
opposite side of the sun where there is a much better view but also much more
safety from any fly-by exposure.
The message of the Tikal Pyramids (Temples?) is to “think
about ions” like protons, electrons and muons.
The chambers atop each of the main pyramids closely resemble a resonance
chamber with the sound directed to the top of each pyramid which resembles some
type of electrode. The top is not smooth
or shaped with precision. One pyramid
(Temple I) is about 16 feet taller than the other suggesting a “stepwise
process” where the west one shoots something into the “five steps” below the
doorway of the east one. The east one then potentially “beams” something back
to the electrode of the west one in what we call a “feedback loop” such as a
speaker system set up too close to the microphones. One could envision these openings like the
hole on a guitar. One might question why the walls need to be over 2 feet thick
when the weight is primarily on the back wall.
Since nothing real obvious is happening presently, we might
speculate that some special condition must exist for the operational mode to
work. It would need to be something of
immense importance to go to all the trouble to build it and execute a design
plan that could be recognized by technical people. Surely one cannot envision the purpose to be
for a fat priest to carry up living animals for sacrifice or even a teenage
naked virgin girl to similarly be sacrificed.
The purpose must impact billions of people over extended periods of time
as will be developed below.
Tikal….the Machine
One may want to read the articles in Wikipedia on white and
brown dwarfs. These bodies are extremely
dense and the key point is that they are thought to be too cold and small to
allow normal thermo-nuclear reactions and so they are gradually cooling except
if they are in a “sun grazing” orbit around another hot star where their close
passing warms them up regularly. Their
dense mass makes an extremely good conductor and they heat fairly thoroughly
each passing.
Another article one should read at Wikipedia is “muon-catalyzed
fusion” which explains a long known low temperature fusion reaction catalyzed
by a muon beam. But since it takes more
energy to produce the laboratory muon beam than one gets out of the fusion
reaction, nothing of commercial importance has come of it. This reaction should
not be confused with “cold fusion” which was widely discussed a couple decades
ago and abandoned by most researchers.
Looking at the two main pyramids, Temple I and Temple II,
one must wonder why on earth somebody would build such a magnificent structure
and then construct a piece of crap on top of them. There is no attempt to make that cap area
look good or represent anything obviously important. That is because the caps “perform a function”
and beauty isn’t one of them. These caps
can be thought of as “electrodes” and the bolt of lightning emitted is not
electrons, but is made of muons. The
intent is to create a low temperature ignition point on the passing Planet 1680
and thereby blow off enough dense material to cause a change in the orbital
path as the body exits outbound past earth to return 575.5 years later on the
“earth-safe side of the sun”. However,
we best study them pretty seriously because we wouldn’t want to do away with
Planet 1680 before the earth axial tilt comes to a halt. We could easily set ourselves up to rotate
the earth clear over horizontally like Uranus making our environment worse than
it is with this cyclical action and the occasionally disastrous near fly-by occurrences.
With all the references to muon properties to follow and
proton/electron ratios, it seems the builders may be trying to describe muonic
atoms (muon replaces the electron). The
tail from the white dwarf may contain a lot of muons or who knows what type
particles. The tail will lead the body
of the comet/planet as it departs the sun and may reach the earth ahead of the
body. Perhaps the Tikal pyramids use the
feedback to build up a super charge of muons which maybe penetrate the body
sufficiently to temporarily ignite a local explosion to break it apart or at
least into some chunks and change the orbital characteristics. It might take several cycles for it to have a
noticeable effect.
This means there hasn’t been a “close fly-by” of Comet 1680
since 1105AD. Since the velocity of the
comet is so high a cloudy day could have hidden the view for what few people
were living on earth then. The one
before that was before Christ 46 years so not many were looking at that time. It
occurs to some that the super bright star of Bethlehem could have been this
Great Comet of 1680. On the website www.thunderbolts.info
you will find theories of ancient folks making pictures on cave walls of just such
an event.
Google Earth Revelations
All the lines in the image below are at an azimuth of 281.4021606
degrees from north sloping upward to the left which develops from the following
formula.
F1 atan((3.15569259747^2 /10)^(2)
* -5) + 360 = 281.4021606 degrees
Here 31,556,925.9747 seconds is the “committee agreed upon
standard” time for the earth orbit around the sun established in the mid-1900s
for earth in the year 1900 AD. What is a
“period of time” doing defining an azimuth in degrees? I guess we have developed
the concept of time by assigning 86,400 seconds per revolution and that times
the number of days gives the number above. This is an obvious “fact” and not
dependent on Tikal builder knowhow. But
the Tikal builders apparently found a tricky way to call our attention to it.
It may occur to some readers to ask how people allegedly
living over a thousand years ago could know the longitude when “we think” we
established the current longitude definition 149.6 feet west of the center of
the tower at the Royal Greenwich Observatory in the last couple hundred
years. But the current rendition of
longitude was set up to make star charts easier to read and likely could have
come to only one good conclusion.
However, that is one reason to think that the builders could have had
some sort of spiritual-like capabilities and maybe able to see into the future
and know exactly what we were going to develop.
It is something to think about. Billions of people currently on earth
think the Bible and other religious works written hundreds of years ago, reflect
on the current spiritual thinking.
Well, while you are trying to figure that out, answer the
issue of why the product of longitude and latitude is constant along this line
and is easily converted to a number with digits starting with 1.215344 where 1.21513
/ 4 are the helium abundant wavelengths and 1.215671 is the average of the most
abundant hydrogen wavelengths. However, these numbers are not the objective of
the message.
(100,000 /
latitude squared) ^(1/2) x longitude = 1645.62xxxxx
20000 / 1645.62xxxx
= 1.215xxxxx
Partially covered over by the GE box below and the light
green line are stones along what is called here the “Northern Marker”. It will be discussed in detail further below.
The natural log of the squared proton / electron mass ratio
1836.15267 / 1000 is 1.215344884. All
combinations of latitude and longitude in the area lead to a number like
this. Sure raises a lot of questions as
to what the builders are trying to tell us.
The “puzzle nature” is more intriguing than the technologies it takes to
get there. Perhaps they wanted to hold
our interest. They got mine!!
There is further redundancy in that the latitude at the far
left stone on the northern markers is 17.222302 to the precision of GE if one
measures carefully (see note below).
Check this out.
(100000 /
(17.222302^2))^(1/2) = 18.3615267
The distance from the far left stone to the next stone is
also this same number in feet from the discussion further below in the model
section. The redundancy is very
convincing as to design intent. Did
something spiritual motivate the folks clearing out the fallen trees from the
1880s clearing picture far above?
The multiple north edges of the layers on the Temple 2 are
at this exact azimuth of 281.4021606.
Note the lines shown actually connect to significant points on each end
in the image. The bottom yellow line is
part of the Google Earth image and connects the “straight east side of Temple I
stairs to the round disk in front of Temple II”. The image must be blown up significantly to
see this type of detail but is reduced here to fit the blog. The normal distance precision of GE is two
decimals but I have pasted in the full calculator digits for readers to back
check if they want to. Note the length
of the line is the “mass of the muon = 1883.531627 / 10”. That will be developed further below. The
azimuth of the east pyramid (Temple I) front side is 188.35 to GE precision.
There are so many uses of numbers connected to muon
properties that one must conclude that is some type of communication pursued by
the builders.
Note the pink line seems to connect the NE corner of Temple
II to the left side of the Temple I stair image. The cyan line connects a corner on Temple II
with a corner on Temple I and is repeated in the light green line. These cannot all be accidents.
Similarly, the same azimuth line (281.4021606) connects
Temple VI north end with Temple V NW corner and further on to the center of
Temple III using GE path to create diagonals from ground level corners. The angle
of scan impacts objects with height. On
my homestead in Idaho, the corners are quite accurately found on GE images.
When considering the use of “time units” to develop “angle
units” one must consider this is a “communication effort” and not the development
of a mathematically based derivation even though a model is how it must be
discovered. This ancient site is
committed to helping some civilization in their distant future that has
achieved enough technical knowledge to decipher it, such as done here.
What if you didn’t know about the data from the northern
marker stones and steps and just multiplied the latitude x longitude without
the mathematical operation on the latitude?
You will find this number to be consistently in the Tikal
area to be developed thusly:
((3.2 x 10^11
/ (latitude x abs.longitude))^(1/4)
/ 8 )^(1/5) = 1.71875xxx
(ex: 17.22230244, abs(-89.62818359))
The number 1.71875 is 440 cps divided by 2 eight times
(octaves) = 440 / 2^8 = 1.71875.
Most musicians recognize 440 cps as how we have standardized on our
instrument tuning and music writing.
This is an inaudible low “A” note and often seen in popular
rhythms (1.71875 x 60 beats per minute is a disco rhythm). Four octaves above
this number is a primary Schumann Resonance frequency and also a component of
the brain wave group.
In other distant areas and different altitudes on Goggle
Earth the product remains near constant but is a much different value from the
Tikal area as it would have to be.
Note: Some GE skills need to be highlighted. One must draw the azimuth 281.40 say for a few hundred feet. Then the left end must be zoomed way up. You
will notice then that moving the “hand cursor image” around makes one able to
achieve the .40 precision. Note also the
latitude and longitude change minutely inside this mode within the endpoint
yellow box. For 10 digit precision
calculations, an average longitude and latitude must be taken while the overall
image is made north up screen using the top right cursor input letter “N” and
the mouse wheel must have the image fully rotated up from ground level.
The Number 1.215344666 Defined
A major effort was spent trying to figure out the
significance of this number and why it can’t be related to helium or hydrogen
wavelengths. Here is how it is developed
purely mathematically and not related to any measurement of mass.
Ln ( pi x 10^7
) / 1.42040575177 / 10 = 1.215344666 where 1.4204 is the hydrogen hyperfine
frequency we commonly used for many research projects. But wait, where does the hyperfine frequency
come from? One of the dimensions in the
King Chamber in the Great Pyramid is 206.17 inches.
(2.061755294
^ (1 / 2.061755294) =
1.420405752
The number 2.061755294 / 1.2 is an A-like number of
1.7181294 which can be developed by routine mathematical methods parallel to
the way “A” is developed from the infinite factorial series. This might be
beyond the mathematical skills of many, so consulting a calculus book on the
basis for natural log base 2.718281828 will help.
Coupled with the equation for the neutron / electron ratio (
1 / ln(1.3125 ^2 ) = 1.838683368) this new derivation for the proton
/ electron ratio defines all the mass in our universe from simple mathematics
without knowing the mass of the proton, neutron or electron. It sure doesn’t
sound like a random affair. Does this prove God created the universe? Nope, I
don’t think so.
Most readers do not likely know that we typically refer to
the equation e^(i * pi) = 0 as the “most beautiful equation” in our
mathematical experience. Probably none
of the readers realize that the dimensionless ratio of the sun/mars distance
divided by the sun/earth distance is pi^(1/e) =1.52367. It appears like the “universe design plan”
makes use of this type of equation in many different areas. The famous physicist Feynman is quoted as
saying it is surprising how much of the scientific world develops from natural
log base E.
North Marker Area
The area north of the two pyramids consists of a long run of
what looks like stairs with just 5 unequal steps, and being unequal is a big
“no-no” for real steps. This area reads
like a “map legend” to hint as what is behind the plan for the site. In the image
below, the length in yellow is the square root of 60,000 = 244.94897433 feet
and from right to left the azimuth is 100000 / 360 = 277.77777 degrees.
The white line is the total distance from the further left
stone to the center of the stone under the left cover and is the muon mass
divided by 20 or 1883.531627 /20 = 94.16765815 as determined by the model to
follow, and not a measurement. The stones are now sitting on concrete and may
have been relocated minutely in modern times.
But the stones are rounded on top with no precise place to measure to,
likely by design. It appears the only
way to interpret the design criteria is by a model using standard scientific or
mathematical numbers. The model depends
on redundant checksums to verify its pertinence and design intent.
The image below is from Google Earth Ground level view and
broken in two pieces in order to retain some magnification. The model presented here is just the left end
in order to not drown the reader in endless technical waters.
In the bottom left, one can see the 4 model dimensions. The red is the proton / electron mass ratio
of 1836.15267 / 100 feet. The yellow is
the proton mass squared x 10 = 27.976677 feet.
The light green initially was 25.4 feet from the modern conversion of
metric to English units and discussed above.
The blue is developed solely from the speed of light at 2.99792458
without the zeros. This is again a mathematical number having nothing to do
with the speed of light, just as it is used to convert mass into energy via E
=m c squared.
The tops of the stones are marked here with a red ellipse
which allows a fairly precise location of the center of the top of the
stone. In the top portion of the image,
light green lines highlight the use of stonework that many call steps. They are not steps. They are “unstressed stones” that do not
produce piezo-electric radiation. The complexity of these steps is left for
another blog effort. The effort above is
but a small fraction of the information contained in the overall North Marker
area. It is truly a “map legend”. This image is not the source of measurements.
The North Marker Model below shows how the four components
add up to half the muon mass in the variable tkdisaccum. TKdis1 is the proton/electron ratio /100. The second TKdis2 is proton mass squared x
10. The fourth is TKdis4 = 25.4 plus a
small fraction higher. The third is
TKdis3 derived from the speed of light using standard multipliers for octaves
(10 / 2 = 5). It is very near the E- 1 = 1.71828 standard. It allows the model to close within 8 digits
and is perhaps the main purpose of the model.
These four numbers have dozens and dozens of combinations
taken two at a time, or three and four at a time. Using dimensionless ratios and conjugate
dimensionless ratios there are many checksums to indicate “design intent”.
There is no reason these standard numbers should add up to
half the mass of the muon unless somebody is simply trying to tell us something
extremely important. The top section
shows how the latitude from left to right stones causes changes to the
proton/electron ratio derived therefrom.
Recent research shows the proton/electron ratio changes over long
periods of time. Readers without serious technical experience should just skim
over this section.
Layout of Court
The image below shows a typical arrangement of the larger
area just an example of many similar arrangements. The distance between Temple I and Temple II
is the muon / electron ratio of 206.78283 feet.
The right leg is 1609.344 / 2 = 804.672 feet where 1.609344 is the meter
to mile conversion. The hypotenuse is
206.76283 x 4 = 827.073132 feet. The sum
of the three sides is 1838.5 which is very near the neutron / electron ratio of
1838.68 but is actually a simple precise mathematical number developed from the
earth / sun distance of 149,597,985.7 km mentioned on many other related blogs.
From a “communication point of view” this seems to tell the
reader that things are just not haplessly placed in the courtyard. The use of the muon / electron mass ratio is
probably because there is a simple mathematical number that is the actual
source but it must be extremely close to the mass ratio as this system fits to
six digits. That observation was enough to start a deeper investigation.
In the image below, the path function in GE was used to
trace around the four corners of each pyramid and then diagonals drawn to find
a “theoretical center” only expecting to find something of a general
nature. As if the builders knew this
would be done, the sum of the path as drawn is 1309.02 feet or phi squared x
500.
The distance between centers was measured carefully at
395.12 and since it was thought the distance between the steps was the muon /
electron ratio of 206.768283, that was subtracted and the muon mass resulted at
395.12 – 206.768283 = 188.3517 feet. It
didn’t take a genius to figure out that 1883.531627 was the design such that
the distance was 395.1214457 feet far more precise than can be measured in GE
or even an onsite precision survey. The only way to achieve this type of
precision is via the modeling process.
The centerline azimuth at 98.945 is very close to
2.109143363 to the fourth power x 5 = 98.94512645 where the 2.1091 number
develops totally from E- 1 = 1.718281828 and is also Planck’s constant divided
by pi, the derivation covered in detail on other blogs. Note how the white line
connecting the north sides of the pyramids goes thru the middle of the North
Marker or legend area. This line is the “founding dimension” on the site. From right to left it is the length 100,000 /
360 =277.777777 feet and also at that azimuth.
The number 277.7777777 x .3048 = 84.66666667 meters and that times 3 is
exactly the 254 conversion of metric to English, repeated often at the Tikal
Site. This is an attempt to attract our
curiosity.
In the image below it is shown as an example how the second
row of stones are connected to the proton / electron latitude of
17.22230244. The left stone is covered
above and the “perfect point” is unmarked but is where the longitude exactly
matches the latitude calculation. One
should notice the triangle goes thru several stones in the row out from the
main row along the Northern Marker steps.
The yellow line is 200 x phi squared = 523.606798 which would only have
two decimals in GE precision.
This seems to be a very redundant numerical system meant to
convey something of extreme importance and the huge pyramids and constructions
are meant to attract attention to the site.
Example of Non-Temple Construction Techniques
South of Temple I area are various walls with large
rectangular holes spaced at regular intervals.
Below is just one example of how they can be analyzed. Imported into ACAD one can use the “inquire
function” and drop down to “area & perimeter” option to measure both the
perimeter and area of the rectangle.
Since these are both much larger numbers than a simple line length, the
errors tend to cancel out. The
dimensionless ratio of perimeter squared divided by area turned out to be close
enough to 10 x phi that a model was set up.
In the top left marked in light green one can see there is a
wood blockade to prevent tourists from painting graffiti on the walls inside
out of sight from guards. This wood
structure is made from “planed lumber” which tends to come in standard sizes. The height is higher than a handrail but less
than 4 feet making the overall height somewhere near 8 feet. This provided a “close enough” basis for
establishing a scale factor.
In the model below, the first step is to try and solve for
width, height, perimeter and area of the hole.
The top portion shows that the relationship highlighted in cyan was not
known, so with only one equation and 4 unknowns a symbolic solution was not
possible. Sometimes, but not always, a
trial and error solution will unfold if one is lucky. By taking the output from the example solution
and plugging the answer back into the suggested values, a precise solution
resulted and the second relationship relating width to height at phi / 2. One can see in the final solution that the
output placed into the suggested values leaves the solution unchanged. One can see that the phi relationships are
precise far beyond calculator precision.
As mentioned above, the blockade was used to make an
educated guess at the scale factor. When
8 feet is substituted for the precise height, that scale factor times the model
width makes the width 4 x phi = 6.472135956 feet. One can envision a standard sized man
standing in the hole with his arms stretched out and usually that is near six
feet.
These holes are obviously “functionary” and not a camp spot
for religious services. Why would anybody make a “house” out of 3 foot thick
walls? It was noticed that the dashed
cyan line from one hole to another seemed to be an easy multiple of the
dimensionless muon / electron mass ratio, utilized regularly at the Tikal
site. So it seemed logical to return to
the hole model and check out the actual hole dimensions.
The height at 8feet and the width at 4 x phi feet and a
depth of 4 feet, yielded a volume of 207.1083506 to calculator precision. When the muon/electron ratio is subtracted
from this number, it leaves .3400676 as a remainder. That number times 50 and then the square root
divided by 2 yields 2.061757745. In
earlier modeling it was pointed out the 2.0617552954 raised to the reciprocal
power gives the hydrogen hyperfine frequency at 1.420405752 to calculator
precision. What a tricky way to
communicate important relationships between muons, electrons and hyperfine
structure. This needs the serious
attention of somebody with much higher physics degrees.
(model numbers 2.0617552953783099 206.7683768145 uncertainty
in the Codata number 206.76830 is +/- .00046)
Later in a tribute to Ben Kacyra and his work at Temple II,
we see confirmation that modeling is used regularly at Tikal.
Temple V
This temple (pyramid) is emphasized because some interesting
excavation reports were available, albeit via MS Bing Translation since the
report was in Spanish. The objectives C
and D in the report are very revealing as to why “new scenarios” are not found.
C. Collect archaeological materials inside the building's
filling so that we can approach the date of construction
D. Locate funeral elements or dedicatory offerings that
can give us the pattern of who the building was dedicated to”
“This work began with the excavation of a well of 2 x 2 m
with which we located the first floor of the square, then the well was
transformed into a drift until it detected the south wall of the first body of
the building.
The south outer wall of the first body corresponds to the
architectural element known as the skirt. This was located in poor condition,
to the extent that only the first stone that was placed on the floor was in
place. The rest of the wall was collapsed outwards and the stones were broken.
The excavation of the tunnel began at the level of Floor 1,
located outside the building. When we started digging and finding the first
wall of the foundation, we decided to know where this wall was built and we
excavated a well that revealed the presence of Floor 2 and the absence of Floor
1. This data made us decide to descend the excavation to the level of Floor 2.
This was a wise decision because it allowed us to detect the presence of Burial
2 and Offerings 2 and 3.”
This quote is an indication of fairly elaborate foundation type
design. However, Gomez indicates that
the excavation exposed an “asymmetrical design” when in his mind a symmetrical
design would be appropriate. Structural
engineers know that the forces transmitted to the soil are very complex when
there is a distribution of weight and sliding action on inclined surfaces. An asymmetrical design seems appropriate to
me.
Since there is no mention of bedrock such as was found under
the Great Pyramid of Giza, it seems appropriate to assume no bedrock was
encountered. That would have required
drilling and blasting.
The mortar in the stone construction must be superior to what
is typically found today in undeveloped countries. In spite of being in seismic country, there
does not appear to be that much damage showing in cracks and major shifts in
joints. Even the Great Pyramid of Giza appears to have been damaged by an
earthquake around 1300AD.
Sound of Temple V
It appears that the temples have an acoustic and
electromagnetic side to them. In the
case of Temple V, the chamber on top of the pyramid below the top comb, is fit below
to an open chamber using the resonance equation in the image below. The chamber dimensions are given as 4.57m x
3.95 m x 4.4 meters. When these numbers
are converted to feet and multiplied to get the volume and then taken to the
square root, the result is 105.92 / 2 where our musical system uses 2^(1/2)
= 1.059463. Examining the detail numbers
in feet, it is easy to see 3.95 m was meant to be 12.96 feet (3.6 squared) and
4.4 m was 17 squared / 2 = 14.45 feet.
Then using value105.9463 / 2 to generate the volume, the third number is
14.98438164 which rounds to 4.57 m.
By using the Google Earth path function, the center of
pyramids can be found and then the distance from there out to the circular
stone and erected stone in front of the pyramid is this same number of 105.95
feet (Temple V does not have those stones today). This is a strong indication that acoustics
are involved with at least some temples. The distance from the stones up at an
angle to the opening is a multiple of the wavelength of the sound. In the case of Temple I, this is 9 x 16.22
feet and there are nine layers.
The image below from Wikipedia articles shows just how the
acoustic and electromagnetic resonance is calculated using the common resonance
equations, boxed in red.
In the top one can see the frequency is a C sharp or D flat
tone three octaves below the central octave containing A = 440 cps. The low note can be easily heard by most
humans and some men can sing this note such as bass Richard Sterben of the Oak
Ridge boys.
In the bottom right portion of the image in red, one can see
the dimensionless ratio of the light speed and sound speed (both in ft per sec)
easily develops the number for the mass of the proton. However, this is a purely mathematical number
not depending on any mass measurement.
Temple V Volumes & Heights
There is a system of heights and symbolic volume in Temple V
geometry. The base dimensions are given
at 118 ft x 167 feet. The layer heights
accumulate to 107.15 feet. The sum of the base dimensions taken to square root
and divided by 8 yields a number close to the hydrogen hyperfine wavelength of
2.1106. The product of base times height is 2111542, perhaps close enough to
2110611.402. There is a third equation
in 167 -118 = 49, the square of 7.
There are three equations and three unknowns, so a solution
was found and presented in the model numbers bottom left in the image below. These numbers are immeasurably close to the
original measurements. This is a
symbolic pyramid precisely fit around the existing stepped pyramid and was
likely the starting point for the final design.
Jim Branson
Retired Professional Engineering Manager
knowhow at ctcweb dot net
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