Great Pyramid Speaks (updated
Jan 4,2024) (updated 1-09-2025 in appendix)
(Appendix 1-15-2025) (Appendix 2-8-2025)
It seems amazing nobody has thought to try and see if the
Great Pyramid design was trying to teach us something beyond our current meager
understanding of the universe. Lots of people suspect that it was designed and construction
managed by advanced intelligence. Some have looked at the apparent machining;
others the precision cuts and holes drilled; and some just the majesty of the
whole structure.
What about the design itself? Sir Flinders Petrie carefully measured the
outside base to the casing corners, and I guess because they were 9069.4,
9067.7, 9069.4 and 9068.6 inches, this didn’t ring any bells for anyone. Arrowhead
Stadium where the Kansas City Chiefs play football is roughly the 756 feet
square footprint like the Great Pyramid. Petrie had a serious supply of
measuring instruments including some long steel tapes and chains listed on page
10 of his book and the longest being 1200 and 1000 inches marked in 1 inch
intervals. Even with those tools, it took nearly 9 steps to measure the 9000+
inches from one corner socket to another.
In the discussion of his techniques, he explains he was well
aware of the expansion of the steel with the change in temperature and he
provides the details on page 12. However, this is long before calculators, so
all these very intricate decimal fractions had to be done by hand with pencil
and paper. For example, the 1000 inch tape could easily expand over 2 inches in
the change in temperatures at the pyramid from morning until afternoon. To
reduce these extra calculations, one might try to make most long measurements
when the temperature was 17.8 C (64 F) where the tape was designed to be used.
Petrie thinks his measurements were generally accurate to
about 0.6 inch. On these long measurements on the sockets, he states there were
also problems with getting a plumb bob accurately positioned to measure over
distances that were not exactly level. With due consideration, he was probably
lucky to get it as precise as he did.
While managing several machine shops over my engineering
career, I found that different machinists often had substantial differences in
measuring the same item that had been machined. These were often far less
precise than the contribution from temperature change although modern calipers
are much more precise than any linear measure.
The Advantage of Finding the Design Criteria
If we could find the design criterion that the potential
advanced intelligence used, the individual measurements may fit into a
mathematical model that makes them all far more precise than can be measured
even in modern times.
In the portion from a larger spreadsheet below, the Petrie
socket to socket (large carved stones where the corner of the casings sat) measurements
is shown in Col L. In Col M one can see the sum of the south and west divided
by pi yield a number that fits the 10,000/ sqrt 3 in row 147 to six digits as underlined
in green. This was done to satisfy the curiosity of “squaring the circle” to
find a circle radius that had a circumference as some rectangle we were
interested in. This is something the Greeks excelled at.
We should now look for some other use of this number to confirm it is part of a potential mathematical model.
On page 43, Petrie measures the slopes of the sides in
numerous places and decides the average slope is 51d 52min +/- 2 min and then
calculates the theoretical height of the completed pyramid at 5776 +/- 7
inches. This is close enough to suggest the theoretical height might also be
5773.50269 as it fits well inside the Petrie tolerance. The often quoted height
of the theoretical pyramid is 481 feet, and 5773.50 inches converts to 481.125
feet. Now we have a second suggestion of a potential model.
There had to be some reason why the design was the specific slope that it was and why it was so religiously maintained at all the locations Petrie tested. And the (90 – slope) = 38.1333333 deg is needed to calculate the relationship between the height and the base using the tangent function. It seemed reasonable to examine the dimensionless ratio of the conjugate angles. (We can see in row 161 that the 0.7352185 ratio easily converts to the hydrogen hyperfine frequency of 1.4204306 which fits the hydrogen hyperfine frequency to 5 digits underlined in green.
Then in rows 153 to 157 the height is fixed at 10000/sqrt 3 and the slope from this model to back calculate the base measurements highlighted in red that quite precisely reproduce the Petrie socket measurements given far above and here in green.
But wait!!! There is yet another confirmation process in
this arena. The Wikipedia article emphasizes that the theoretical height is 481
feet, but the current top (after pilfering the casing stones) is given as 454
feet or a difference of 27 feet. Using that number and the more precise slope,
the volume of the truncated point (cap stone to some), is very near phi x
10,000 = 16180.33989. By changing the height very slightly, the volume is
exactly phi x 10,000. But the new height is slightly less than 27 and so taking
the cube root of it leads to something else extremely important.
Underlined in green at cell U110 is the Egyptian Royal Cubit
1.71875 in feet. When multiplied by 12,
the inches are 20.625, roughly the length of my forearm from tip of the
middle finger back to the center of the ball of the elbow. But that is not even
close to what is important about this number.
(2.0625) ^(1/2)*5/4/1.2*1e8=149,597,985.5869280 based on Royal cubit and is
very precisely the distance in km from earth to sun under certain
circumstances.
Hydrogen Balmer series multiplied 9 to 4 orbitals
[(1/4-1/81) *( 1/4-1/64)*( 1/4-1/49)*( 1/4-1/36)*(
1/4-1/25)*( 1/4-1/16)*2]^(1/2) *10^(10) =
149,597,985.5869280 exactly the same number. This awaits some energetic grad students to
prove. (sixteen digits was good enough for me)
149,597,885 average perihelion & aphelion
used for Astronomical Unit prior to 2012
Differs
from Royal Cubit and Balmer number by 100.6 km out of 150 million km.
149,597,870.7km
astronomical unit defined by committee 2012 having nothing to do with earth/sun
distance….but?
(149,597,870.7km
astronomical unit) less [(2.0625)^(1/2)*5/4/1.2*1e8)=
149,597,985.5869280] = 114.886928km
The difference between the modern committee imposed standard
astronomical unit and the number using the Royal cubit is 114.886928 km or
71.387 miles.
One must put this seemingly lack of precision into practical
experience. Are we measuring the distance between the center of the earth and
the center of the sun? Can that distance even be measured? Where is the center
of either body? If we try to start with say the center of a circle describing
the equator, there is the problem of land mass on earth being higher than the
water. And the water is not constant
because of the tidal forces created by various positions of the moon.
On the sun, everyone has seen pictures of the massive
eruptions due to magnetic variations boiling up from within the sun. How would
you find a circumference to locate the center? The center of gravity is grossly
affected by the extreme movements of internal masses near the center and even
outward thousands of miles. Major planets like Jupiter and Saturn continuously
impact solar mass and cause wobble in the sun’s rotation. Since the sun is near
864,000 miles in diameter, what is 71 miles as a degree of precision to locate
the center?
For the purposes of defining “where you are in the
universe” for potential use in a spacetime portal calculations, one might
need some very precise “address” and not some measurement that changes
significantly in centuries.
Here is a good shot at what mother nature apparently had in
mind for us. Our hearing range is often quoted at 20 cps up to 20,000 cps
although it varies per person and their age or life experience with loud
noises. Our system of tuning musical instruments uses 440 cps, or middle A just
above middle C on the piano. We only reached this standardization in the 20th
century. If we divide 440 cps by 20 cps, we note our lower range is 440/20= 22,
a dimensionless ratio. We also see
20,000 / 440 = 1000/22. Our hearing range appears to be designed to be around
440 cps.
One should then note that 440cps /256 (8 octaves, 2^8=256)
=1.71875, exactly the basis for the Royal Cubit = 1.71875 ft x 12 = 20.625
inches. Now the reader should think
about what you just read in the pages above. Is this something an advanced
intelligence bent on lifting up your understanding, might want to convey to
you? Is it a key to understanding numerous other mathematical relationships?
Try to reach out beyond the blindness of bureaucratic fog
and notice that the Great Pyramid was designed and executed in construction
using modern day inches and feet, the British System. Our parallel measuring
systems, British and Metric, were handed down from perhaps tens of thousands of
years ago. The conversion from one system to another is strongly hinted in some
of the Buddhism Teaching from who knows how long ago. Some major discoveries
have resulted from examining the results in units in the other measurement
system than the original data was developed. Below is an example of linking the
unit system conversion to seemingly totally unrelated important teaching.
1 / [
LN(311,040,000,000,000 * 7) ]^(1/3) = 0.304793711
The reader should recognize the 311 trillion as the life of
Buddha and the seven reflects the 7 cycles. In my high school 1959 Handbook of
Chemistry and Physics, the conversion of meters to feet is 0.30479xxx. In the
mid-1900s, a committee set it to 0.3048 exactly. We need to rethink outside
that dark box.
If the Great Pyramid design used modern day inches and feet,
what about meters? On Google Earth, one can go to the Great Pyramid at
29.9792458 latitude and 31.134184 longitude and find the center of the pyramid
by using the path function from the intersection of the diagonals from the
sockets at the base. GE distorts
anything with height, so the graphic top of the pyramid is not representative
of the center.
Perhaps by now the reader has realized the latitude at
29.9792458 is the speed of light in meters per second. Not only that, but the
flattened existing top is also just about the right size to account for the
earth’s axial wobble. It is likely there was a finished flat top with maybe
inscriptions calling attention to the earth’s wobble.
And if that is not enough, the longitude and latitude
conjugate ratio is the square root of 700 x 2 = 52.91502622 which makes the
longitude 31.13418101 and that would make the precise longitude float a tiny
amount with the earth axial wobble. Hopefully, the top flat surface casing
stones can be located and any surviving marks researched.
King’s Chamber Coffer Design
For full explanation of details of a computer model, check
out www.king-chamber-coffer.blogspot.com
. Here we only want to see if the hydrogen hyperfine frequency shows up in the
coffer model. The Table 1 Model is presented below.
In the formula below, the outside
length is multiplied by the outside width
times the outside height. That product is
divided by 1728 to convert it to cubic feet instead of cubic inches.
LN(172800000/(89.622338825*38.499109057*24*a))/5
where a=1.71828182845905.
When the digits were recognized, 10,000 was multiplied after
taking the reciprocal giving 1214.426252. The natural log of that number
divided by 5 = 1.420405405 which is stunningly close to 1.420405752.
As mentioned elsewhere, when we are observing some distant planet or star, if
it is broadcasting near this frequency, it is always slightly different because
the star is always moving relative to earth and of course earth is moving so
the doppler shift is appropriate for small changes in frequency.
However, this scenario makes a keen way for an intelligence
to convey focus upon some distant star that is 1) doppler shifted by the
relative velocity and earth as it revolves around the sun, and 2) the small
differential doppler shift in each direction because of the earth’s axial rotation.
This paints a combined picture which might allow us to find a distant star
configuration the intelligence wants us to find.
King Chamber and Queen Chamber Speak Loud
There is a super important mathematical system that advanced
intelligence uses to assist lessor developed civilization that unfolds out of
the two dimensional systems, British and Metric, that were designed and left
for us perhaps tens of thousands of years ago….not developed by antler digging
ancient earth humans.
That system will be covered under a separate blog. But first
let’s jump to the end of the story and examine something of unimaginable
importance derived from the King and Queen chambers.
If the reader does not have a copy of Sir Flinders Petrie
“The Pyramids and Temples of Gizeh” portions of some of the important pages
will be attached in the Appendices at the end of this blog.
The important King Chamber measurements are as given below:
Lengths:
TN=412.14 BN=412.78
TS=411.88 BS=412.53 Height KC floor to apex= 389
Widths
TE=206.30 BE=206.43
TW=206.04 BW=206.16
The “T” = top; “B” = bottom; N, S, E and W are north, south,
east and west.
The King Chamber volume = [(412.78+412.53) / 2 * (206.43 + 206.16)/2 ] * height @ 389) where only the floor area is used because there is only one similar measurement of the Queen Chamber. The volume is 33,115,049.99 (corrected 12-31-2024)
cubic inches.
The Queen Chamber was not measured so completely because
prior measurements were available at the time from a previous surveyor. The
following are all in inches.
East wall width = 205.68;
west wall width =206.02 ; length
= 226.47 height of rectangular chamber
=184.47
The height of the triangular top portion is 245.1 total –
184.47 = 60.63
Since there are two widths provided, the average was taken
at (205.68+206.02) / 2 = 205.85, as discussed by Petrie.
The volume of the rectangular portion of the Queen Chamber
taken in this manner is 8599779.167 and the volume of the roof portion is 1413250.423
and the sum is 10013029.59 cubic inches.
In all my engineering experience I can remember, I never
remember taking the product of two volumes. Here I wanted a large number to
take the natural log for a starting point, and so perhaps multiplied by
accident instead of a sum or difference…if so…certainly a very important
accident.
The natural log of the product of the King Chamber volume
times the Queen Chamber volume is 33.43489618 where the mass of the deuteron is
3.34358377 times 10^(-24) . The fit is stunning. But something far more stunning is if one
just uses the west wall at 206.02, the result is even closer at 3.343572168.
This seems to suggest that the construction of the two chambers has something very important regarding the deuteron when comparing the floor of the King Chamber with the west end of the Queen Chamber.
Update 1-09-25
There is more to multiplying
volumes. From the Queen Chamber, the product of the apex volume times the
rectangular portion and then dividing by the 1E13. Then in a reciprocal fashion
with 2 on the top, taken to the fifth root and then to the power of “e” as in
the formula from excel below:
e^ ((2/(1413250.423*8599779.167/10000000000000))^(2)/5)= 1.718751423
The focus here may be simply to
get us thinking about product volumes. The presence of the Royal Cubit could
mean several things.
Insert Jan 4, 2025
Sir Flinders Petrie said the
line of the apex of the Queen Chamber is more aligned with the center of the
pyramid than can be measured. His effort of surveying and careful measurements
has not even been slightly approached by modern folks who think it may not be
aligned in that manner.
From a modern day engineering
point of view, it appears that the Queen Chamber receives something like a muon
stream (created by solar protons striking earth’s atmosphere) or electron field
that is focused on the Queen Chamber via the top tapered roof and is similarly
deflected by the spaced apex beams above the King Chamber.
The King Chamber appears to
receive something from the Queen Chamber that exits the Queen Chamber into the
Gallery and up and through the antebellum into the King Chamber. The King Chamber processes this beam and it
then exits up the air vents and on into space, directed by the earth orbit
around the sun and axial spin.
This apparent carrier beam is
operated on by perhaps acoustic vibration from the Temple near the Nile River connected
to the Middle Pyramid and passes up the connecting tunnel to the base of the
west side of the Great Pyramid. The Temple has thrones for ten or more people
to sit and perhaps chant or even sing the message they want to transmit or
perhaps receive from some distant similar operative.
It is said, perhaps by Edgar
Cayce but with no evidence found, that the Great Pyramid used to broadcast a
tone that frightened people enough that nobody attempted to steal the casing
stones. After a large earthquake or
volcanic eruption, as the story went, the Great Pyramid went silent, and folks
were no longer afraid of it. That is likely when the casing stones began to be
robbed for other construction. By modern day analysis, this destructive process
likely took at least centuries, not just years. Or, it could have been done by
other similar builders who disagreed with the pyramid being built in the first
place. Perhaps like Puma Punku in South America.
In the Queen Chamber the taper
allows the area in sq ft to be phi x 200 just slightly above the beginning of
the slope. In the King Chamber the zone
for 203.0736 (converts phi to basic charge unit
www.newgrange-geometry-portals.blogspot.com
) squared = 412.3890257 is about middle on the north and on the south it is
about ¾ distance down from top.
Why would the ratio of the
volume of the Queen Chamber apex divided by the volume of the Queen Chamber
lower rectangular portion be exactly 141/999 where 141 is the prime 47 times
the prime 3 and 999 is 37 x 27?
Reciprocal conjugate ratio of QC
apex to rectangle is 717/999
If we use just the lower portion
of the King Chamber at 230.09 inches height, the product of the volumes divided
by 16 is 2.0568617 similar to the Queen Chamber height on the east end at
205.68 inches.
100/(0.5/0.1838683363)^(1/2)= 60.64129555 (1838.683364
neutron/electron mass ratio derived from 1.3125 and shows up in www.grand-gallery.blogspot.com/
)
10000/(205.85*60.64135844/2)= 1.60217593 area of qc
apex end [basic electric charge 1.602176634 x 10^(-19) ]
Problems facing practical
exploitation (of muon-catalyzed fusion)
From Wikipedia topic
Except for some refinements,
little has changed since Jackson's 1957 assessment of the feasibility of
muon-catalyzed fusion other than Vesman's 1967 prediction of the hyperfine
resonant formation of the muonic (d–μ–t)+ molecular ion which
was subsequently experimentally observed. This helped spark renewed interest in
the whole field of muon-catalyzed fusion, which remains an active area of
research worldwide. However, as Jackson observed in his paper, muon-catalyzed
fusion is "unlikely" to provide "useful power production ...
unless an energetically cheaper way of producing μ−-mesons[note 2] can be found."[7] (perhaps atmospheric source focused
)
One practical problem with the
muon-catalyzed fusion process is that muons are unstable, decaying
in 2.2 μs (in
their rest frame).[8] Hence, there needs to be
some cheap means of producing muons, and the muons must be arranged to
catalyze as many nuclear fusion reactions
as possible before decaying.
Another, and in many ways more
serious, problem is the "alpha-sticking" problem, which was
recognized by Jackson in his 1957 paper.[7][note 3] The α-sticking problem is
the approximately 1% probability of the muon "sticking" to the alpha
particle that results from deuteron-triton nuclear fusion, thereby effectively removing
the muon from the muon-catalysis process altogether. Even if muons were
absolutely stable, each muon could catalyze, on average, only about 100 d-t
fusions before sticking to an alpha particle, which is only about one-fifth the
number of muon catalyzed d–t fusions needed for break-even, where as much thermal energy is generated as electrical energy is consumed to produce
the muons in the first place, according to Jackson's rough estimate.[7]
More recent measurements seem to
point to more encouraging values for the α-sticking probability, finding the
α-sticking probability to be around 0.3% to 0.5%, which could mean as many as
about 200 (even up to 350) muon-catalyzed d–t fusions per muon.[9] Indeed, the team led by Steven E. Jones achieved 150 d–t fusions
per muon (average) at the Los
Alamos Meson Physics Facility.[10] The results were promising and
almost enough to reach theoretical break-even. Unfortunately, these
measurements for the number of muon-catalyzed d–t fusions per muon are still
not enough to reach industrial break-even. Even with break-even, the conversion
efficiency from thermal energy to electrical energy
is only about 40% or so, further limiting viability. The best recent estimates
of the electrical "energy cost" per muon is
about 6 GeV with accelerators that are (coincidentally) about
40% efficient at transforming electrical energy from the power
grid into acceleration of the deuterons.
As of 2012, no practical method
of producing energy through this means has been published, although some
discoveries using the Hall effect show
promise.
Muons are charged particles so
they can be deflected by a magnetic or electric field. The pyramid naturally
has a variable electric field from the atmosphere so it might be the muon flow
could be focused on the queen chamber ridge. An inflow of electric charge
through the apex might further concentrate the muon flow.
Middle Pyramid Temple
Sir Flinders Petrie provides
some detailed measurements in the temple and just two of the longer ones were
entered into a spreadsheet and various dimensionless ratios checked for what
they might tell us. These are both horizontal on the plate entitled “Granite
Temple of Khafra, at Gizeh”.
They are labeled temtop= 397.2 inch for temple top and tembot =976.2 inch for
temple bottom. Three equations were easily identified and inserted into the
Mathcad “given” block. The first one is the conjugate ratio doubled 9 times with
the number 512. The result was a very familiar number known to lead to the
hydrogen hyperfine frequency via the natural log to get 1.4204133xxxx as
shown above the given block.
The second equation was the
simple dimensionless ratio divided by (.08 x 1.2 = .096 where .96 is a common
quantum number in the Lyman Series). The result is quite close to the speed of
light numbers of 0.29979879xxx.
The third equation is the
natural log of the product of the numbers and then taken to steps from the
Newgrange Procedure to yield 1.7182866xxxx which is known to easily develop the
most abundant hydrogen wavelength of 1.215668.
Below the solution, the results
are plugged back into the equations to see how close the results fit, and all
are within 7 digits. The solution was first sought using the “find” function
seeking a symbolic solution with any combination of two equations, but nothing
was found using Mathcad.
The use of the MinErr function
(minimal error) was then used and often this function gives results that work
but are far offset from the original measurements of 397.2 & 976.2 and
therefore unusable. The third equation is the one that brings the results close
to the original measurements.
Since this analysis is very
parallel to other findings in this blog, it is clear the overall Gizeh Design
includes all the pyramids and temples involved at modern day Giza. It is clear
the temple would be accessed by priests who understood how it worked, and they
would develop the input/output from the system. The precise design is for us to
use to figure out what is happening with the system and the users had no idea
what was in the design.
My interpretation of the
findings here is 1) seek multiple equations related to major constants like
1.71828xxxx, 1.420405xxxx and 2.99792458; 2) try to find a way to create a
model that allows for a fairly precise solution; and 3) use dimensionless ratios
wherever possible such as a quotient, conjugate ratio and natural logarithm
ratios. And give thanks to Sir Flinders Petrie for his monumental measurement
project. I understand he often worked in
his near bare underwear because it was so hot and humid at times.
This temple alone will require
months of work for a team of specialists to completely decipher. Just this one
example is provided for continuity in this blog. If the overall pyramid system
is some type of communication device perhaps used to contact multiple home
bases for temporary intelligent guides.
This blog has only touched on
the Great Pyramid in small increments. A major task force with multiple
specialists will be needed to seek all that one might want from the
communications provided by the designers. If the power supply is derived from
something like muon-catalyzed fusion, earthlings might really benefit from
rigorous research.
There are other relationships, such as the conjugate ratio
of volumes, that lead to .3048 with slight modification of the Queen Chamber
widths. The Great Pyramid will have a lot of speaking in the near future if we
can awaken from our bureaucratic fog.
Jim Branson
Retired Professional Engineering Manager
www.king-chamber.blogspot.com
www.king-chamber-coffer.blogspot.com
https://grand-gallery.blogspot.com/
www.newgrange-geometry-portals.blogspot.com
www.the-word-according-to-jim.blogspot.com
www.sacsayhuaman.speaks.blogspot.com
www.puma-punku-portals.blogspot.com
--bransonjim9 at gmail dot com .
Appendix 1-9-2025
How the Universe Works (1-09-2025)
Due to questions about why one
would use procedures on numbers as an autopsy of hidden meaning, this brief
summary is provided.
Most of what we can see or sense
distant from earth are electromagnetic waves emitted by electrons shifting from
one shell to another on distant planets and stars which causes electromagnetic
waves of very precise and repeatable wavelengths. Since energy (electromagnetic
waves) are related to mass via Einstein’s famous equation, most of the universe
is open for examination via these waves.
In the early 1960s engineering,
colleges were still teaching introductory inorganic chemistry that electrons
orbited around the nucleus like planets around the sun, focusing on the then
popular Bohr Model. However, as the student progressed into slightly more
advanced topics the same colleges were teaching in classes like Nuclear
Engineering that the Bohr model was no longer in favor and that the path of the
electron was more a probability issue. There was no explanation at the time as
to what additional description of the electron movement within what was called
a shell was provided.
The so-called shell still lacks
a simplified explanation for the general population of readers. Perhaps we can
shed some light via some almost obvious observations.
Let’s start by examining some
observations courtesy of the piano. Many readers know that in more or less
modern times, the tuning of a piano is by steps of 2^(1/12) =
1.059463 frequency multiples, called half steps by musicians. This is the
change in frequency when moving from a white key to a black key except in two
places (E to F) and (B to C) where the white keys are only a half step apart.
Harmony is heard when two keys
are more than two half steps apart such as three half steps from white key C up
to black key D# or Eb. Dissonance or non-harmony is when say two
white keys next to each other are played at the same time as E and F say for
the beginning of the childhood tune of chopsticks. Other white key combos that
are only a full step apart such as C to D and G to A are still in non-harmony
but not as obnoxious as E to F.
Octaves are two keys separated
in frequency by a multiple of 2, 4,8 etc or ½,1/4, 1/8 etc. These frequencies
are considered the most highly pleasurable rating of harmony. Harmony is not
only pleasing to the ears of humans and animals, but also causes unrelated
items like champagne glasses to vibrate in resonance. Musical instruments like
guitars, violins, cellos and others have resonance chambers that enhance the
quality of the instrument sounds. There are complex mathematical equations to
predict higher performance resonance chambers.
The other big input into
comparing numbers derives from the emergence of quantum mechanics, in
particular the consideration of what wavelengths derive from electrons moving
from one shell to another. While a Swiss school teacher, Balmer, first put
forward the relationship that seemed to relate the system by which the
frequencies and wavelengths develop, he never was able to come up with a
mathematical basis for why it happened. Only after Bohr, Einstein and others
came up with what we now call the Rydberg Equation, was there a more complete
discussion of electron produced and absorbed wavelengths.
There is a book called, I think,
“Handbook of Spectroscopy” that is about
the size of three Encyclopedia Brittanica volumes that works over the original
Rydberg Constant seven ways from Sunday trying to make one constant fit all
matter. The value for the hydrogen Lyman Series is very specifically definable
and all other hydrogen series as well as other elements are multiples of the
Lyman Series. The equation below very precisely covers the hydrogen Lyman
Series Rydberg Constant.
(450,000
/ LN(A))^(1/2) = 911.7531513
Einstein’s contribution from
quantum mechanics was to consider two consecutive shell numbers such as 1 and
1/2 (1-1/2^(2))= 0.75 to come up with the quantum numbers to be used
in the Rydberg Equation. If we divide the above Rydberg Constant by 0.75, we
get the average for the two most abundant hydrogen wavelengths of 1215.671
(average of 1.215668 and 1215.674 for certain units)
By the way, Noah’s Ark was 500 x
30 x 30 = 450,000 cubits and one cubit in his case maybe was A = 1.718281828,
the smart part of natural log base 2.718281828 besides 1. Perhaps most
bureaucrats would claim an accident.
Now back to the autopsy of
numbers. When we take the 1/5th root of a number we are acting
similarly to taking the fifth step down from A to E on the piano. Likewise,
when we take the fourth step from A to F. These tones are in major harmony with
each other. A frequency in harmony retains connectivity to the original
frequency.
If we divide or multiply by 0.96
we are using the quantum number of (1-1/2^(2)) = .96 or often 1.2 x
.8 = .96. The Newgrange Procedure developed on www.newgrange-geometry-portals.blogspot.com
uses these types of numbers to acquire a very important number for mankind.
A number entered higher than
1.71828760699xxx with repeated cycles of the Newgrange Procedure (www.newgrange-geometry-portals.blogspot.com
) reaches that number. A number lower
with repeated cycles reaches the same number. The number 1.718287607 on a ten
key calculator multiplying by 24,000 and then taken to the square root yields
203.0736383. The more precise number in a reciprocal conjugate ratio with the
number one provides the link between all the electricity in the universe with
the number phi = 1.618033989, a number used repeatedly by the animals and
plants of earth. This appears to connect the electrical world with the living
world with apparently with infinite precision.
(203.0736382886-1)
/ (203.0736382886+1) * phi =1.602176634xx
Obviously, the number 20.30736383
squared is a 412.39 number which nests in well with all the Petrie measurements
of the King Chamber which average 412.39666 for the three lengths not including
the top north of 412.14. Do you suppose either Petrie’s measurements or the
builders’ abilities caused a 0.00666 error averaging 0.00222 inch? 😊 Can you imagine
how much it would cost to hold a modern day contractor to that level of
precision?
If we average all the KC lengths with double the KC widths, we get 412.39875 (corrected 1-11-2025) This is the type of procedure Petrie was repeatedly using with his mean measurements and calculations. He never quite got it far enough.
The other major connection with the King Chamber measurements involves
all the basic masses of the universe. The chart below summarizes.
Mass per gram ^(1/128) *sqrt
100000ß-à1/100 sqrt x 144
Neutron 1.6749275 x 10^(-24)
gr 206.1816301 206.769956
Proton 1.672621929 x 10^(-24) gr 206.1794113 206.7688630
Basic m 1.660539067 x 10^(-24)
gr 206.1677332 206.7630072
Note that the proton converts
easily to the muon/electron ratio of 206.7682827. The neutron and proton
also convert to a number very close to a very precise number close to Planck’s
Constant divided by pi.
For the neutron:
(((206.1816301/144)^(1/2)*50/4)^(1/5)*1.2*8*1.2)^(1/4)=2.109141938
For the proton:
(((206.1794113/144)^(1/2)*50/4)^(1/5)*1.2*8*1.2)^(1/4)=2.109141371
So, if the pyramid intelligence
wanted to give us guidance as to the function of the Gizeh Complex, these
numbers may work to point us towards neutron, proton and electron interactions.
[(120/a2)2 / 2](1/9)
= 2.109143364…..exactly the 2014 NIST Codata
to 10 digits.
Sort of simplifying, one can
write it as:
(120/sqrt
2)=7200 /a^(4) =
825.952188 ) ^(1/9) = 2.109143364
The most recent events at NIST
have fixed the Planck Constant at 6.62607015 x 10^(-34) making the
Planck / pi digits 2.109143635. This was done to make a plethora of
other constants look and feel better. 😊
Appendix 1-15-2025
Is Muon-Catalyzed Fusion
Nonsense? (1-12-2025)
For many readers, the
suggestion that the Great Pyramid could have used some type of cold fusion
seems far out and probably unprovable to modern man even if it was true. Other
theories that the Great Pyramid was a powerplant or that computer controlled
rock processing was used are probably far lacking in supportive measurements
and data.
The fact is that most
readers, or somebody they knew, have had direct contact with the results of a
cold fusion process without having anybody point it out to them. Unfortunately,
our technology folks have spent a lot of time trying to eliminate it like a
gigantic curse rather than to try and make something useful from it.
Cavitation Is All Around Us
If you look up cavitation on
the internet, be sure to stay with the process that literally sucks metal out
of pump impellers, even huge impellers for gigantic ocean going ships. Little
holes in our teeth are something else. There are numerous pictures available
with a search for “pictures cavitation”. The image clearly shows the damage is
from little explosions that melt the metal or even ceramics and not grooves from water laden with abrasives.
Without going too high tech
and discussing how a change in vapor pressure causes cavitation in pumps,
impellers and piping systems, the reader can focus on just the main event.
Little bubbles can form in fluid systems rather easily but when the vapor pressure
changes, these bubbles can collapse and in the process of the collapse, tiny
lightning bolts can occur which can reach temperatures near that of the sun,
but of course in such a tiny amount of space, nothing really is evident in the
fluid except at microscopic volumes. In other words, a lightning bolt in the
atmosphere makes it really hot near to the bolt but adds nothing of
significance to the air temperature a short distance away. In my experience on
a USFS lookout, lightning would strike right outside in the rocks and there was
no feeling of radiant heat from the strike.
Just a wet spot in my underwear. :-)
But just like
congress spending money, a billion here and a billion there can add up to real
money. A process very similar is sonoluminescence whereby light is given off
just like lightning in the air. Even snapping shrimp can use this process and
perhaps fireflies and animals in the dark ocean depths. (see Alpheidae in Wikipedia)
All these topics are readily
discussed in Wikipedia. It is
unfortunate that “Cold Fusion” took a political detour and fell into disrespect
among many scientists, but there are still others, such as U. of California,
doing serious research on sonoluminescence. Perhaps this is the answer to how
the Egyptians were able to work in dark places with no soot on the ceiling from
burning lamps and torches. Maybe they just captured a bunch of fireflies and
used them to light the way. 😊
Some of the research in progress uses intense acoustic waves to
help induce desired bubble formation on a more controlled basis. In future
discoveries, researchers may find that acoustics are more important than vapor
pressure changes.
So, how could the builders signal to us that these processes are
used in the functioning of the Great Pyramid Complex? Probably the most
important constant having to do with cavitation is the universal gas constant,
or simply gas constant in Wikipedia topics.
In the most popular units of SI, the number 8.31446261815324 is posted.
That number easily converts to a very important King Chamber number below.
120 / 7
/8.314462618 = 2.061811801 * 200 = 412.36236
If we add King Chamber top south to double bottom east (411.88+206.43*2)/2
= 412.37. The product of these
two numbers leads via the Newgrange Procedure to 2.109142763 as done above with
neutrons and protons.
The equation below seems to link the north wall to the basic
mass unit for our universe.
e^
(1/.1660539068) = 412.4606293 basic mass 1.660539068 * 10^(-24)
Ø (Top North + Bottom
North)/2 = 412.46
To make the hypothesis viable, we need something from the Queen
Chamber to indicate both a relationship with the gas constant and some type of
fusion. The statement below is better than I could say it in plain words.
[(LN(205.85*226.47/8.314462618)*2/5/hf]-1.215668)/4=
0.303780043
Where the bold is the product of the Queen Chamber floor area,
the italic is the gas constant and then take the natural log (LN). That result
needs to be multiplied by 2 and the result indicates it should be divided by
the hydrogen hyperfine frequency and then that result is recognizable as the
average of the most abundant hydrogen wavelength with 4 times the most abundant
helium wavelength. To get there, we
subtract the hydrogen wavelength 1.215668 and divide the result by 4 to
get 0.303780043, the helium most abundant wavelength, the result is more
precise than we can measure. Note that I have not substituted or fitted any
number of my own. How five digit numbers from the Queen Chamber can manipulate
seven digit precision can only be explained by the five digit numbers precise
to seven digits.
It is one thing for me to find a mathematical and scientific
relationship, but just try to imagine how the design was developed that
produces this linkage?
The idea here is to point out there could be a mathematical
system that tries to help us understand how the King Chamber works. The reader
must admit there is an awful lot of connectivity with very special scientific
terms.
How Do You Have Bubbles Without Fluids?
The answer is quite simple.
Petrie reports repeatedly that there was thick encrustation on the Queen
Chamber and King Chamber lower walls. In modern times, it appears like that
encrustation has largely been cleaned up and almost polished in recent
videos. Petrie talks about it being sea
salt although he doesn’t indicate he had it tested. Some folks have wildly
speculated the Pyramid was flooded with salt water during Noah’s flood even
though the salt mentioned by Petrie was not widely apparent in other parts of
the pyramid.
Apparently, it hasn’t occurred to many that the encrustation was
put there by the builders as a source of ionization that might have been
important to the stability of the operation. Whatever fluid may have been
present probably was not something that would evaporate or else it would have
needed to be replaced over long periods of time. If it was ever there, the
fluid might have drained down into the floor after the earthquake cracked
things up a bit. It might be more likely that instead of liquid fluid, it was
granulated material like a find material fluid bed in energy reactors.
Is the Niche a Portal?
In other earthly areas such as Puma Punku (https://puma-punku-portals.blogspot.com/
) the shape of many of the larger stones are similar to the Queen Chamber Niche
giving rise to considering there was some type of portal allowing the builders
to make alterations from a distance or add materials that were consumed.
Below is a comparison of the Niche in the Queen Chamber of the Great Pyramid to a similar stone from Puma Punku. The Petrie data on the Niche is from the width of the middle section marked in red as 41.83 inches and the height at 28.23 for an area of 1180.8609 square inches.
(1180.8609/100)^(1/2) / 2 * 1.2 = 2.061819
Neutron
1.6749275 x 10^(-24) gr 206.1816301
from previous update
Considering the original
Petrie data is only given to 4 digits, this makes an interesting attention
grabber.
Further examination of the
area height and widths as we would if pursuing the dimensionless conjugate
ratio, the height subtracted from the width gives:
Natural log e^[(41.83 - 28.23) / 25)]^(1/2)= 1.312587
where 1000/ln(1.3125^2)=1838.683368 the
exact neutron/electron ratio.
This seems to indicate the
middle of the Niche has something to do with neutrons and electrons or their
reaction with each other.
The above is provided only as
an example of what can be communicated via the base number of 206 and double at
412 which are used profusely in the King and Queen Chambers. It is clear from
our dimensional systems that this type of communication is not only appropriate
but exists by design of the universe and probably all universes.
Only the easiest examples
have been provided in this blog. Years of serious research will need to develop
if we are to gain all that is possible from this Gizeh Design as well as dozens
of other major constructions around the world.
Appendix 2-08-2025
Great Pyramid Layers Speak
When I first received my copy of Sir Flinders Petrie’s book, there
was a lot to look over in hundreds of pages.
The measurement of each stone height up the NE corner and SW corner was
displayed graphically along with the data in a section just after the Index at
the back.
A long time ago I entered the data into a Basic Program and tried
various graphical printouts that I programmed myself. However, that effort was nothing like what is
available now with programs like MS Excel and others like it. Just the sum of
the intervals is easily done with highlighting a column and the sum and average
appear immediately at the bottom of the spreadsheet.
Graphing capabilities are now far beyond the mathematical level of
most readers and require some serious discussion to understand the hidden
meaning. There is absolutely no question that these layers were very
meticulously planned and executed sufficiently for Petrie to measure and record
in his book.
In all the views of the outside of the pyramids the remaining stones
available in these times show no indication that the casing stones were allowed
to slide, roll or slow release in any manner. Perhaps that is because it would
be far easier to cut new stones from the quarry a few miles across the Nile and
have them fit whatever purpose was needed. Casing stones would still have to be
cut and shaped even if one got them down without serious damage.
From what is about to be analyzed herein, it appears that the
current configuration of the pyramids was purposefully left for later
civilizations (maybe far more than us) to learn from like a gigantic textbook.
The Steppingstones to Wisdom
Because the spreadsheet of 203 layers is so large and complicated to
view, the data will be posted as a comma delimited file that can be loaded into
modern spreadsheets and the reader can make all the options that come to mind.
We will just post a few eye-popping examples herein.
It all starts with the first stone of the NE and SW which are 58.6
and 57.6 inches in height. These two stones provide the basis for major
mathematical confirmation of design intent as shown below.
(58.6 x 57.6) = 3375.36 compare to:
(1.007825 x 1.66053906 / .009109383)^(2) / 10 = 3375.13
These numbers are representative of the atomic mass of the most
abundant hydrogen isotope; the basic mass unit; and the electron mass where the
zeros nearly cancel out and only the signature numerals are used.
These scientific numbers from the most recent Codata Published
values all have changed significantly over the decades and are still only
certified to about seven digits. The
exact fit is easily matched with the slightest variation. However, the 58.6 and 57.6 are only three
digits, so we will need other comparisons to certify a detailed design intent.
From the Petrie data at the top of layer 203 on the NE edge, the
accumulated height is 5430.40 inches.
(10000/e^(5430.40/10000)^(2)
= 3375.37049
This compares quite favorably with the 3375.36 from the product of
58.6 x 57.6, suggesting that the fit with scientific numbers could be fit to
older numbers or numbers varying inside the precision of the Codata.
But to be a little comfier with this pursuit, we need at least one
more fit to some other relationship using only Petrie numbers.
In column N of the spreadsheet, the product of the increments is
summed to 201 entries since the SW only has that many stones.
The average increments of both NE & SW= 5408.55 inches for 201
stone pairs yielding an average of 26.90820896. Recognizing this number, we
multiply by 10 to shift the decimal where the square root is proper and
multiply by 2 to get 32.80744364. One
should get familiar with these conversions to recognize the reciprocal is
.0304808875.
As another confirmation, we can operate differently on the
26.90820896 and get another hint at the pyramid design intent.
5 / [((26.90820896^(1/3)
x 5)^(4)/10000)^(1/3)*1.2*8]= 0.303785994 where the second
most abundant helium isotope wavelength is 0.303786.
So, the message thus far from the layer thickness is that the stones
were very specifically chosen and precisely placed for the average hundred thousand
stones per layer.
The graphical analysis that follows may be far from the mathematical
interest of most readers. Some connecting lines indicate a very complicated
design system.
In high school geometry, the student learns that two points
determine a connecting line. If there
are three or more points on the line, then there is very likely some type of
mathematical relationship that places the third or more points on the original two
point line. In the graph above we can see that there are multiple lines where
there are three or more points that are quite precisely on the same line.
The top orange line is a typical example of how this graph highlights
the data from Petrie on the block heights of the NE and SW corners. The four
peaks are represented in the data in Col N at row 41, 105, 124 and 150 with
values of 49.5, 38.65, 35.25 and 30. The average of those values is 38.35.
The formula using the sum is: 20/(LN(SUM(Q41:Q44))^(1/3)*1.2*8)=
1.215668 This suggests a strong
relationship to the primary wavelength of hydrogen precisely at 1.215668. The
operative is very simple as the cube root and multiplied by 10 x .96 (most
important quantum number).
Also, the first two values at N41 and N105 reposted in Q41 & Q42
use the formula: (100/((Q41+Q42)/2)^(1/2))^(1/5)=
1.720207227 which is quite close to the Gaussian Constant of 1.720209895.
The average of the sums of the four values was 38.35 and there is
that same value at N96 which, shown in pink, demonstrates the connection
between 38.65, 38.35 and 41.1 which sums
to 115.1 or Comet 1680 double period at 1151 years which is the frequency at
which the comet passes near to earth.
Eye catching, but maybe not relevant, is that the sum of the first
three numbers is 123.4. There is another sum that is 234.5. Likely these are
just secondary curiosity capturing sums asking us to look deeper but still a
part of the design intent.
What might these events be trying to communicate? Certainly, there
are no two “words” that focus more on our universe than the concept of
gravitation and the primary material makeup of hydrogen. From other blogs such
as www.the-word-according-to-jim.blogspot.com one can
see just how important Comet 1680 is to the future of folks on earth,
especially at the summer solstice of 2256 AD.
This sort of sets the scene for what will follow in further
revelations from NE and SW corner stone heights. These stones may be far more easily
communicative than anything inside the Great Pyramid.
How To Teach Engineering
While never acting in the formal role of teacher, I did have a lot
of experience helping my wife develop procedures for teaching pre-school
toddlers the fundamentals of reading for a decade or so at the 4000 square foot
school I built for her. 😊
In the engineering sciences like thermodynamics, fluids, strength of
materials etc., there is a need to make sure the student has the necessary
tools in mathematics and basic sciences like inorganic chemistry and physics.
The more advanced courses are therefore staggard so that the student gets the
basic sciences out of the way in the freshman and sophomore year before getting
into the more complicated engineering sciences. That is true for even teaching
toddlers. One must, through songs and
stories read to them, prepare their minds for what educational adventures lie
ahead for them.
Now fast forward to advanced technologies that are being taught by
large structures that have been carefully prepared around earth such that when
measured, advanced science and engineering topics jump out at us. Below is but
one such example that makes the point.
In Teotihuacan there are staircase type squares stacked to look like
short pyramids. Somebody well versed in the advantage of dimensionless ratios
(eliminates knowing the units of measure that may have been used) might note
that a particular square layer measures quite precisely 142 feet per side say
by using the Google Earth Ruler option. The square layer below it might measure
150 feet. The researcher then simply takes the 142/150 and squares it to
check for the ratio of the areas.
The next step might be to plug in as trial and error 142.0405752
(hydrogen hyperfine frequency) as a precise approximation to see if some
additional precise information develops.
When that is done even on a ten key calculator, after squaring the
result is 0.896690000 where 89669 is a prime number. When we take the square
root of .89669 and then multiply by 1.5 we get 1.42040575188923 on a calculator
that can handle that many digits.
This seems to suggest that one of two options result. Either our several
calculation methods for the hyperfine frequency is in error because of a “left
out parameter such as a time constant” or it is the numerical mystery of the
millennia. (current calculated value runs around 1.42040575177)
If advanced civilization is trying to teach us something extremely
precise, it may need to use as many partial components as precise as possible
and therefore the prime number procedure is needed for precision rather than
measurement mode numbers that even change with time based on new lab procedures
thought to be more accurate.
It may be a quantum leap for the reader to jump from the above
example to what must follow, but the learning experience will be worth the
effort. Some readers may think that because I am an engineer and computer
programmer of expert systems, I simply make the numbers work in any way
possible. That is absolutely not the case if one looks at the procedures
carefully.
The following example shows how the entire electrical system of our
universe is related to the life systems of our universe. In this case, the
numerical value associated with all living issues is the number phi =
1.618033989 for ten key calculator precision. The exact number to any number of
digits is (5^ (1/2) + 1) / 2.
In years past, the folks at NIST producing the Codata constants have
changed the elementary charge constant vary a little in over the 7th
digit but here of late they are trying to force certain constants to be exact
so that other constants become more precise. The number they have settled on
now for the elementary charge is 1.602176634 x 10^(-19) coulombs.
This process is similar to the statement above regarding teaching methods.
Most anybody can find a number that develops a meaningless ratio by
simply dividing phi by the elementary charge number, ignoring the decimals. It
is quite something else to develop a mathematical formula using a highly
repetitive procedure which I am calling the Newgrange Procedure since that is
where it was found. Portions of this procedure have been used repeatedly in
this blog to find relationships between the Great Pyramid measurements and
scientific constants like the mass of the deuteron.
Without getting too far out in technical talk, one might think of a
hyperbolic function where the bottom of the top curve is exactly the same point
as the top of the bottom curve. (see Wikipedia hyperbolic function) This is a
very special specific function.
In this case, it was discovered by repeatedly using the fifth roots,
multiplication by 1.2, taking fourth roots and multiplying by 50/4 as shown in
the image below.
By repeatedly placing the solution back into the input, eventually
one reaches the number 1.7182876069946 with unlimited precision depending only
on the capabilities of the software being used. The decimal output at
203.07363xxxx is used regularly in this blog to find a connection between King
and Queen Chamber measurements. Note in the bottom output, the elementary
charge 1.6021766344898 is more precise than the Codata Constant
underlined.
Strangely, if you start with a number less than 1.7182876xxx it
gradually increases to reach the same output. This is far from some meaningless
ratio.
After this discovery, MS Mathematica was used to find the solution
given in the middle segment of the image. Note that this solution does not use
either phi or the elementary charge number in the initial development.
The details and history of discovery are covered in the blog www.newgrange-geometry-portals.blogspot.com mentioned elsewhere.
Appendix of Petrie images
Petrie comma delimited data
1.00,58.60,58.60,,57.60,57.60,,,,,,,,,,,,,
2.00,107.70,49.10,,110.10,52.50,,,,,,,,,,,,,
3.00,155.90,48.20,,155.40,45.30,,,,,,,,,,,,,
4.00,199.90,44.00,,199.90,44.50,,,,,,,,,,,,,
5.00,240.10,40.20,,238.80,38.90,,,,,,,,,,,,,
6.00,278.10,38.00,,278.40,39.60,,,,,,,,,,,,,
7.00,317.30,39.20,,322.50,44.10,,,,,,,,,,,,,
8.00,355.10,37.80,,357.40,34.90,,,,,,,,,,,,,
9.00,391.50,36.40,,391.60,34.20,,,,,,,,,,,,,
10.00,427.50,36.00,,429.30,37.70,,,,,,,,,,,,,
11.00,461.20,33.70,,461.90,32.60,,,,,,,,,,,,,
12.00,490.90,29.70,,495.90,34.00,,,,,,,,,,,,,
13.00,520.70,29.80,,521.60,25.70,,,,,,,,,,,,,
14.00,550.10,29.40,,550.80,29.20,,,,,,,,,,,,,
15.00,579.40,29.30,,579.00,28.20,,,,,,,,,,,,,
16.00,608.30,28.90,,607.10,28.10,,,,,,,,,,,,,
17.00,636.30,28.00,,635.40,28.30,,,,,,,,,,,,,
18.00,667.40,31.10,,666.50,31.10,,,,,,,,,,,,,
19.00,705.50,38.10,,705.60,39.10,,,,,,,,,,,,,
20.00,729.00,23.50,,729.70,24.10,,,,,,,,,,,,,
21.00,752.80,23.80,,752.20,22.50,,,,,,,,,,,,,
22.00,787.30,34.50,,787.30,35.10,,,,,,,,,,,,,
23.00,820.30,33.00,,820.40,33.10,,,,,,,,,,,,,
24.00,852.70,32.40,,852.70,32.30,,,,,,,,,,,,,
25.00,885.00,32.30,,885.10,32.40,,,,,,,,,,,,,
26.00,915.80,30.80,,916.30,31.20,,,,,,,,,,,,,
27.00,945.50,29.70,,945.90,29.60,,,,,,,,,,,,,
28.00,974.70,29.20,,975.10,29.20,,,,,,,,,,,,,
29.00,1002.80,28.10,,1003.10,28.00,,,,,,,,,,,,,
30.00,1031.00,28.20,,1030.90,27.80,,,,,,,,,,,,,
31.00,1058.80,27.80,,1059.20,28.30,,,,,,,,,,,,,
32.00,1085.10,26.30,,1085.20,26.00,,,,,,,,,,,,,
33.00,1111.40,26.30,,1111.40,26.20,,,,,,,,,,,,,
34.00,1137.60,26.20,,1137.70,26.30,,,,,,,,,,,,,
35.00,1187.40,49.80,,1186.90,49.20,,,,,,,,,,,0,,#DIV/0!
36.00,1228.50,41.10,,1228.70,41.80,,,,,,,,,,,0,,
37.00,1266.70,38.20,,1266.70,38.00,,,,,,,,,,,0,,
38.00,1303.00,36.30,,1303.00,36.30,,,,,,,,,,,0,,#NUM!
39.00,1336.90,33.90,,1336.80,33.80,,,,,,,,,,,0,,
40.00,1368.80,31.90,,1368.60,31.80,,,,,,,,,,,,,
41.00,1399.70,30.90,,1399.30,30.70,,,,,,,,,,,0,,
42.00,1427.70,28.00,,1428.70,29.40,,,,,,,,,,,0,,
43.00,1461.00,33.30,,1460.80,32.10,,,,,,,,,,,,,
44.00,1502.10,41.10,,1501.90,41.10,,,,,,,,,,,,,
45.00,1540.00,37.90,,1540.00,38.10,,,,,,,,,,,,,
46.00,1567.30,27.30,,1568.20,28.20,,,,,,,,,,,,,
47.00,1602.90,35.60,,1603.10,34.90,,,,,,,,,,,,,
48.00,1638.40,35.50,,1638.20,35.10,,,,,,,,,,,,,
49.00,1669.60,31.20,,1669.60,31.40,,,,,,,,,,,,,
50.00,1697.60,28.00,,1697.70,28.10,,,,,,,,,,,,,
51.00,1724.20,26.60,,1724.20,26.50,,,,,,,,,,,,,
52.00,1750.50,26.30,,1750.70,26.50,,,,,,,,,,,,,
53.00,1776.10,25.60,,1776.30,25.60,,,,,,,,,,,,,
54.00,1801.80,25.70,,1801.60,25.30,,,,,,,,,,,,,
55.00,1827.10,25.30,,1826.70,25.10,,,,,,,,,,,,,
56.00,1851.90,24.80,,1851.50,24.80,,,,,,,,,,,,,
57.00,1874.40,22.50,,1876.50,25.00,,,,,,,,,,,,,
58.00,1903.00,28.60,,1902.10,25.60,,,,,,,,,,,,,
59.00,1931.70,28.70,,1931.70,29.60,,,,,,,,,,,,,
60.00,1959.80,28.10,,1959.40,27.70,,,,,,,,,,,,,
61.00,1986.00,26.20,,1985.80,26.40,,,,,,,,,,,,,
62.00,2010.40,24.40,,2010.20,24.40,,,,,,,,,,,,,
63.00,2036.40,26.00,,2037.00,26.80,,,,,,,,,,,,,
64.00,2062.00,25.60,,2063.10,26.10,,,,,,,,,,,,,
65.00,2088.20,26.20,,2089.60,26.50,,,,,,,,,,,,,
66.00,2111.90,23.70,,2112.90,23.30,,,,,,,,,,,,,
67.00,2146.90,35.00,,2146.90,34.00,,,,,,,,,,,,,
68.00,2177.50,30.60,,2178.60,31.70,,,,,,,,,,,,,
69.00,2209.90,32.40,,2209.80,31.20,,,,,,,,,,,,,
70.00,2237.70,27.80,,2237.90,28.10,,,,,,,,,,,,,
71.00,2266.50,28.80,,2266.00,28.10,,,,,,,,,,,,,
72.00,2292.30,25.80,,2292.10,26.10,,,,,,,,,,,,,
73.00,2317.60,25.30,,2318.00,25.90,,,,,,,,,,,,,
74.00,2348.00,30.40,,2348.50,30.50,,,,,,,,,,,,,
75.00,2377.00,29.00,,2377.80,29.30,,,,,,,,,,,,,
76.00,2400.60,23.60,,2402.60,24.80,,,,,,,,,,,,,
77.00,2426.10,25.50,,2426.50,23.90,,,,,,,,,,,,,
78.00,2449.80,23.70,,2449.90,23.40,,,,,,,,,,,,,
79.00,2472.90,23.10,,2473.40,23.50,,,,,,,,,,,,,
80.00,2497.00,24.10,,2497.50,24.10,,,,,,,,,,,,,
81.00,2520.20,23.20,,2521.00,23.50,,,,,,,,,,,,,
82.00,2543.50,23.30,,2544.10,23.10,,,,,,,,,,,,,
83.00,2566.10,22.60,,2566.80,22.70,,,,,,,,,,,,,
84.00,2593.90,27.80,,2594.60,27.80,,,,,,,,,,,,,
85.00,2616.80,22.90,,2617.40,22.80,,,,,,,,,,,,,
86.00,2643.10,26.30,,2643.40,26.00,,,,,,,,,,,,,
87.00,2665.00,21.90,,2666.10,22.70,,,,,,,,,,,,,
88.00,2688.10,23.10,,2688.50,22.40,,,,,,,,,,,,,
89.00,2710.80,22.70,,2711.70,23.20,,,,,,,,,,,,,
90.00,2749.30,38.50,,2749.90,38.20,,,,,,,,,,,,,
91.00,2783.60,34.30,,2785.40,35.50,,,,,,,,,,,,,
92.00,2816.70,33.10,,2817.30,31.90,,,,,,,,,,,,,
93.00,2846.10,29.40,,2846.60,29.30,,,,,,,,,,,,,
94.00,2872.20,26.10,,2872.80,26.20,,,,,,,,,,,,,
95.00,2897.80,25.60,,2898.10,25.30,,,,,,,,,,,,,
96.00,2920.80,23.00,,2922.00,23.90,,,,,,,,,,,,,
97.00,2946.80,26.00,,2944.70,22.70,,,,,,,,,,,,,
98.00,2984.30,37.50,,2985.60,40.90,,,,,,,,,,,,,
99.00,3022.60,38.30,,3024.60,39.00,,,,,,,,,,,,,
100.00,3058.20,35.60,,3058.90,34.30,,,,,,,,,,,,,
101.00,3091.70,33.50,,3091.30,32.40,,,,,,,,,,,,,
102.00,3119.10,27.40,,3120.60,29.30,,,,,,,,,,,,,
103.00,3148.40,29.30,,3149.50,28.90,,,,,,,,,,,,,
104.00,3174.70,26.30,,3176.00,26.50,,,,,,,,,,,,,
105.00,3201.10,26.40,,3202.60,26.60,,,,,,,,,,,,,
106.00,3225.10,24.00,,3227.10,24.50,,,,,,,,,,,,,
107.00,3250.90,25.80,,3251.90,24.80,,,,,,,,,,,,,
108.00,3280.20,29.30,,3281.30,29.40,,,,,,,,,,,,,
109.00,3306.80,26.60,,3307.90,26.60,,,,,,,,,,,,,
110.00,3330.00,23.20,,3331.20,23.30,,,,,,,,,,,,,
111.00,3352.90,22.90,,3354.80,23.60,,,,,,,,,,,,,
112.00,3377.00,24.10,,3377.80,23.00,,,,,,,,,,,,,
113.00,3400.20,23.20,,3401.70,23.90,,,,,,,,,,,,,
114.00,3423.20,23.00,,3423.80,22.10,,,,,,,,,,,,,
115.00,3445.30,22.10,,3446.50,22.70,,,,,,,,,,,,,
116.00,3472.40,27.10,,3472.80,26.30,,,,,,,,,,,,,
117.00,3494.80,22.40,,3496.00,23.20,,,,,,,,,,,,,
118.00,3530.40,35.60,,3530.90,34.90,,,,,,,,,,,,,
119.00,3562.20,31.80,,3563.20,32.30,,,,,,,,,,,,,
120.00,3592.00,29.80,,3592.50,29.30,,,,,,,,,,,,,
121.00,3621.10,29.10,,3621.30,28.80,,,,,,,,,,,,,
122.00,3647.10,26.00,,3648.00,26.70,,,,,,,,,,,,,
123.00,3673.50,26.40,,3675.20,27.20,,,,,,,,,,,,,
124.00,3697.80,24.30,,3698.60,23.40,,,,,,,,,,,,,
125.00,3722.60,24.80,,3722.60,24.00,,,,,,,,,,,,,
126.00,3745.60,23.00,,3745.60,23.00,,,,,,,,,,,,,
127.00,3768.20,22.60,,3768.50,22.90,,,,,,,,,,,,,
128.00,3791.00,22.80,,3791.30,22.80,,,,,,,,,,,,,
129.00,3813.10,22.10,,3814.70,23.40,,,,,,,,,,,,,
130.00,3839.70,26.60,,3841.00,26.30,,,,,,,,,,,,,
131.00,3864.60,24.90,,3865.80,24.80,,,,,,,,,,,,,
132.00,3887.80,23.20,,3888.00,22.20,,,,,,,,,,,,,
133.00,3909.30,21.50,,3911.00,23.00,,,,,,,,,,,,,
134.00,3932.10,22.80,,3932.90,21.90,,,,,,,,,,,,,
135.00,3953.30,21.20,,3954.70,21.80,,,,,,,,,,,,,
136.00,3977.00,23.70,,3977.10,22.40,,,,,,,,,,,,,
137.00,3999.30,22.30,,4000.80,23.70,,,,,,,,,,,,,
138.00,4025.00,25.70,,4027.20,26.40,,,,,,,,,,,,,
139.00,4050.50,25.50,,4051.80,24.60,,,,,,,,,,,,,
140.00,4072.20,21.70,,4074.10,22.30,,,,,,,,,,,,,
141.00,4093.20,21.00,,4095.60,21.50,,,,,,,,,,,,,
142.00,4116.30,23.10,,4117.60,22.00,,,,,,,,,,,,,
143.00,4137.20,20.90,,4139.50,21.90,,,,,,,,,,,,,
144.00,4168.30,31.10,,4168.40,28.90,,,,,,,,,,,,,
145.00,4192.50,24.20,,4194.60,26.20,,,,,,,,,,,,,
146.00,4216.40,23.90,,4217.70,23.10,,,,,,,,,,,,,
147.00,4238.50,22.10,,4240.50,22.80,,,,,,,,,,,,,
148.00,4260.40,21.90,,4262.20,21.70,,,,,,,,,,,,,
149.00,4282.10,21.70,,4284.40,22.20,,,,,,,,,,,,,
150.00,4308.70,26.60,,4310.50,26.10,,,,,,,,,,,,,
151.00,4333.10,24.40,,4335.40,24.90,,,,,,,,,,,,,
152.00,4356.10,23.00,,4358.80,23.40,,,,,,,,,,,,,
153.00,4378.30,22.20,,4381.40,22.60,,,,,,,,,,,,,
154.00,4400.10,21.80,,4402.60,21.20,,,,,,,,,,,,,
155.00,4420.60,20.50,,4423.90,21.30,,,,,,,,,,,,,
156.00,4441.90,21.30,,4444.70,20.80,,,,,,,,,,,,,
157.00,4463.10,21.20,,4466.10,21.40,,,,,,,,,,,,,
158.00,4484.70,21.60,,4487.10,21.00,,,,,,,,,,,,,
159.00,4505.30,20.60,,4508.40,21.30,,,,,,,,,,,,,
160.00,4526.80,21.50,,4529.60,21.20,,,,,,,,,,,,,
161.00,4547.50,20.70,,4550.60,21.00,,,,,,,,,,,,,
162.00,4571.30,23.80,,4574.00,23.40,,,,,,,,,,,,,
163.00,4593.40,22.10,,4597.00,23.00,,,,,,,,,,,,,
164.00,4619.20,25.80,,4621.90,24.90,,,,,,,,,,,,,
165.00,4640.60,21.40,,4643.80,21.90,,,,,,,,,,,,,
166.00,4661.80,21.20,,4664.70,20.90,,,,,,,,,,,,,
167.00,4682.40,20.60,,4685.00,20.30,,,,,,,,,,,,,
168.00,4702.40,20.00,,4705.60,20.60,,,,,,,,,,,,,
169.00,4722.90,20.50,,4725.90,20.30,,,,,,,,,,,,,
170.00,4743.70,20.80,,4746.00,20.10,,,,,,,,,,,,,
171.00,4763.40,19.70,,4766.70,20.70,,,,,,,,,,,,,
172.00,4784.60,21.20,,4787.10,20.40,,,,,,,,,,,,,
173.00,4805.40,20.80,,4807.50,20.40,,,,,,,,,,,,,
174.00,4825.10,19.70,,4827.90,20.40,,,,,,,,,,,,,
175.00,4845.40,20.30,,4848.00,20.10,,,,,,,,,,,,,
176.00,4865.90,20.50,,4868.50,20.50,,,,,,,,,,,,,
177.00,4886.20,20.30,,4888.30,19.80,,,,,,,,,,,,,
178.00,4906.30,20.10,,4909.20,20.90,,,,,,,,,,,,,
179.00,4926.90,20.60,,4929.00,19.80,,,,,,,,,,,,,
180.00,4953.40,26.50,,4955.30,26.30,,,,,,,,,,,,,
181.00,4978.10,24.70,,4980.70,25.40,,,,,,,,,,,,,
182.00,5001.40,23.30,,5003.50,22.80,,,,,,,,,,,,,
183.00,5023.90,22.50,,5026.40,22.90,,,,,,,,,,,,,
184.00,5046.10,22.20,,5048.50,22.10,,,,,,,,,,,,,
185.00,5066.80,20.70,,5069.90,21.40,,,,,,,,,,,,,
186.00,5087.90,21.10,,5089.90,20.00,,,,,,,,,,,,,
187.00,5107.60,19.70,,5110.70,20.80,,,,,,,,,,,,,
188.00,5128.50,20.90,,5131.00,20.30,,,,,,,,,,,,,
189.00,5149.00,20.50,,5151.60,20.60,,,,,,,,,,,,,
190.00,5169.40,20.40,,5171.70,20.10,,,,,,,,,,,,,
191.00,5190.60,21.20,,5192.20,20.50,,,,,,,,,,,,,
192.00,5210.70,20.10,,5212.80,20.60,,,,,,,,,,,,,
193.00,5231.30,20.60,,5233.40,20.60,,,,,,,,,,,,,
194.00,5252.00,20.70,,5253.80,20.40,,,,,,,,,,,,,
195.00,5271.80,19.80,,5274.60,20.80,,,,,,,,,,,,,
196.00,5295.70,23.90,,5298.20,23.60,,,,,,,,,,,,,
197.00,5319.20,23.50,,5320.90,22.70,,,,,,,,,,,,,
198.00,5341.30,22.10,,5342.90,22.00,,,,,,,,,,,,,
199.00,5362.90,21.60,,5364.30,21.40,,,,,,,,,,,,,
200.00,5385.70,22.80,,5386.80,22.50,,,,,,,,,,,,,
201.00,5407.90,22.20,,5409.20,22.40,,,,,,,,,,,,,
203.00,5430.40,22.50,,,,,,,,,,,,,,,,
204.00,5451.80,21.4000000,,,,,,,,
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