Sacsayhuaman Speaks (updated 5-21-2024 see end)

(all my blogs use a combination of technical software: 1) high resolution image software; 2) Autodesk products like ACAD, Autosketch and Hplanet; 3) Mathsoft like Mathcad; 4) MS Office like MS Excel, Word, Mathematics, QuickBasic and Paint; 5) Google Earth Imaging and measuring; and a plethora of internet searching, language translators and historical archives. If the reader is unfamiliar with much of this software, then just skim down thru the details and trust, for now, that they were used professionally)

The reader should take a close look at the various images of Sacsayhuaman and try to imagine just what issue might motivate any intelligence to create this huge and structurally diverse monument for mankind. Clearly, this is not an arrangement meant to live in and there are no signs of major campfires or encampment residuals.  It is far too spread out to be something where massive numbers of people could relate to each other while praying to some problem solution.

In my efforts at similar huge structures like the Egyptian Pyramids, Teotihuacan and other southern Americas structures, and huge stone structures in mountainous area like Machu Picchu and other Inca structures, there is one very simple conclusion.  These structures are meant to communicate something to any intelligence that has the ability and curiosity to decipher the potential messages.

While Google Earth Images provide us with better measurements than we can get any other way, the methodology required is not what the reader might expect. Obviously, survey crews on the ground have difficulties seeing the forest for the trees. Huge stones are curved and while fitted remarkably precisely together, their major length and width dimensions vary at localized points.

If one uses Google Earth to measure a length of 211 feet, at what point does it make sense to see if the 211.0611404 was intended even though most readers have no idea what that number means in the scientific world. What generally happens is one or two “training areas” exist with the use of common numbers like phi, pi and natural log base 2.718xxxxx are used to whet the mental appetite of the investigator. We also see widespread use of the Jakob Steiner equation X^^(1/x) or X^^(1/y) in more complex communications.

For example pi^^(1/e) = 3.14159^^(1/2.71828) = 1.523671 and the ratio of Mars and earth distance to the sun used in this manner is 1.52367xxxx. Does this indicate that planet distance relationships are organized something like electron shells for which we have not a clue as to how they exist? We shall discover answers in the material from the 2000 epoch discussed in numerous steps below.

In my career as a professional engineering manager, it was necessary to study the specific curriculum of potential consulting hires. People were of no value if the client didn’t want them. Most of the time these folks needed to have strong exposure to higher mathematics and physical sciences like the engineering sciences of thermodynamics and strength of materials which are a detailed expansion of a few of the topics covered in physics and inorganic chemistry. One should then note that archeological curricula often does not include many of these advanced topics. And since modern archeology analysis is absolutely sure the ancients had no technical capabilities, a lot of potential communication is overlooked more or less on purpose.

How might extremely advance technology creep into structures largely built by people who raise goats for a basis of survival? Just like there are modern day savants with immense calculating and visionary capabilities, in the past no telling what might have existed in a perfectly natural menu. You don’t really need God or aliens to address the issue. We know in modern times that somehow modern-day Tibetans have access to some really important technologies with scant modern-day proof of how they got it.

Consider, for example, the Hindu number related to the life of Buddha at 311,040,000,000,000 years. If we take the natural log of that number times the seven cycles, we see ln(311040000000000 x 7) =35.31685279.  Most readers would stop there thinking it has no further meaning. If, however, we take the reciprocal of the original conversion of British length of a foot to a meter at around 3.2808 and cube that number, it is remarkably close to the natural log above. Maybe the incorporation of this mathematical revelation into Buddha teaching is just a way to get us to remember something far more important than the lifespan of Buddha. After all, how important is the length of life of Buddha after the first trillion or two years? 😊

Another example, closer to home, is the single most important formula to modern-day human societies in understanding their universe:

          Sqrt [450,000 / LN(1.71828182845904)] = 911.7531513

The green number is the very important, Rydberg constant for use in calculating the wavelengths of the most abundant hydrogen Lyman Series.  All other Rydberg variations for other hydrogen series and other elements derive from this number and then multiplied by a second very common constant.

For the mathematically challenged reader, LN stands for “logarithm natural” and the base for a natural logarithm is 1.781828182845904 + 1 = 2.71828182845904. Now please take a breath, this formula is in the Book of Genesis from pre-Jesus times and fundamental to the Jewish ancient history. The “hell you say”? “I’ll have you know I have the King James Bible on my computer and no amount of searching finds this equation”.

My older brother had a saying, “lettuce sea”. Noah’s “big boat” had the dimensions of 500 x 30 x 30 = 450,000 units. But what were the units of measure? In my Bible it says cubits. I haven’t found anything that says people from the Middle East used “cubits” but the Egyptians surely did.  In fact, they had several cubits, all in the range of 1.718xxxxx with 1.71875 being the Royal Cubit.

Is there really any evidence that God used the term “cubit”?  I guess so, since that is what is written in the versions I have run across. So now you ask, “what is a logarithm”? It is discouraging to me to learn that in modern times, due to the advent of electronic calculators supplanting my favorite slide rule, people tend to memorize formulae (Latin for plural formula---s) instead of learning the fundamental background. I think I will leave it to the reader to dig into that 9^th grade algebra as far as needed.

One might wonder then why the writer of Genesis might apparently hide this very important formula embedded in a “highly memorable” story? If God is instructing the writer, perhaps one should not question God’s motives? 😊 Or….perhaps the reader, already at boredom’s edge, feels it was a way for God to make the information “highly memorable”.

We are “speaking big stuff here”. How might God speak to us?

A few readers could suggest Sacsayhuaman might be a place for prayer for civilizations that cannot achieve any higher objective, but certainly not that for a modern civilization that has so much more technical capabilities. Sure, much of our current population has no technical command, but technology has a way of making itself useful even to those who have no understanding of it. A case in point, cell phone technologies that have exploded in the last two decades. My skills with computer software programming stems primarily from 1980s thru to 2000. However, it was quite frustrating for me in recent years to have to learn a whole new technical world in order to use a cell phone effectively. Yet I see plumbers and craftsmen use their phones very effectively.

Surely even the most non-technical reader can see that Sacsayhuaman could not be constructed by modern folks even with unlimited track hoes to handle stones; computerized 3-D stone shaping; and fitting to an existing mountainous location with multiple survey crews.

Look at the stone fitting of huge stones as an example. If you were able to machine the base stone to some shape and then save that shape in the memory of the machine tool, you now have to convert the first shape into the opposite shape to nest against it.  I have managed several machine shops using computerized machine tool lathes and milling machines and no such software was even contemplated in prior years, let alone on the market.

But far beyond what the modern reader can even comprehend is the measurement technologies that will be demonstrated herein. It is one level of technology for people like me to finally decipher the plan herein, but quite something at a much higher level to conceive and develop the plan and then have it be self-deciphering with engineering and mathematical curiosity as well as sophisticated experience with software. But…perhaps not too different from the Genesis example above.

Let’s look at just some really “not too technical” aspects. Take the zigzag huge 1000-foot long walls of stones to the northerly side of the overall layout. In modern times we sometimes build log fences that way in order for them to be free-standing without posts and holes. In the mountainous regions one might think they just followed the easiest route over the natural terrain. How many folks have even pondered why that type of wall was built? Could the reader possibly consider this was meant to be a defensive issue like the Great Wall of China? At least the Chinese wall was hard to get over or get around the ends. This is not a defensive wall. Goats, or perhaps Llamas, could pass through this wall like it wasn’t there.

In the first image below, a still from a drone video from BarryKusumo.com used as incidental background, one can see that the Google Image that follows does not do justice to the construction because it only sees the tops.  But GE does provide a way to find “Sacsayhuaman Speak” via geometric analysis. The precision comes from modeling results, as discussed above, not that we can measure precisely with GE at any single location.

Note that there are 18 corners in the most prominent front row of the walls marked in red numerals from left to right. In the circular construction on the top of the mound, there are 12 double walls around the middle rings and 5 double walls in the inside rings.  There is one isolated wall also in the inside rings for a total of 18 events which may suggest the zigzag wall and the concentric circles have some relationship to each other. It will be shown below that radii from the concentric circle center often extend out to engage the zigzag wall at the points or else grazing along the short side of the zigzag wall. These cannot all be accidents and begs us to find out why.

With there being twelve double walls around the middle rings almost looks like a clock indicating time of some sort. But the angular spacing is not precise as they would be if it were meant to indicate a standard type of clock. While some of the opposite sides are somewhat directly across from each other as they would be in a clock, lines connecting pairs do not always line up with each other and don’t always pass through a common center as they would a clock. Some are purposely askew with each other. This suggests that each double wall is speaking to us independently.

The seemingly concentric rings do not have the same centers using the three-point function for circles in Autosketch.  One might be tempted to think that is just as accurate as the builders could make them. However, they vary by a specific amount suggesting the concentricity is not what the circles are communicating. They appear to be suggesting some type of “wobble” as a child’s top is slowing down and the spinning axis is varying in a repeatable manner.

Earth’s Axial Tilt

In the Wikipedia article “axial tilt” one can get good background information on the variation of the earth’s axial reversals. The astronomical term, obliquity, is described for other planets besides the earth, in particular the planet Uranus.

We are going to try to prove Sacsayhuaman is all about earth axial tilt reversal using 18 cycles of 1151 years to move the estimated total 2.2 degrees the axis is thought to move during the 20718 years of the last cycle. The zigzag line certainly suggests something oscillating.

The GE image below, seems to demonstrate in simple geometric terms how the walls can connect with portions of the primary area of Sacsayhuaman Speak.

The yellow line is perpendicular to the three white lines at their midpoints which connect with two prominent points on three different lines of zigzag walls. This appears to be an initiating simple geometry to allow the walls to speak to us through the complexity of the rectangles at the end point on a large stone. Only the more simplified events will be developed at this point, trying to prevent reader runout due to complex mathematics and physics. The 425.16 feet will be shown to be very important.

 

From the GE ruler box, we see 135.91 feet for the length of the yellow line and 284.08 for the azimuth. Nobody expects GE can measure this precisely, however the exact values used seem to fit pretty snugly.  The 135.91 x 2 = 271.82 which of course is the natural log base 2.718281828 if we choose to input it into a discovery model. Two times 142.040575, the hydrogen hyperfine frequency used throughout physics and astronomy, is 284.08. At this point of our presentation, these are only hinting we should dig a little deeper.

There is far more story embedded in the zigzag wall than most readers will find on their own. The image below is a marked-up MS Paint showing the approach that was used but not encumbered with too much geometry for most readers. One can see from the red lines sloping upward from the point to the east that these lines systematically rotate azimuth slowly from a higher azimuth to a lesser azimuth. Once reaching the sixth 1151-year cycle there seems to be a massive disruption of the wall integrity.  If the eight 1151-year cycle corresponds to 1105.5 AD, then the seventh would be 1196.5 BC, or the significant era of the Last of the Bronze Age catastrophes discussed in Wikipedia. Note that to the right of the sixth cycle, the azimuths of the red lines begin to rotate back the opposite direction.

 

It has taken a great deal of effort to even select a satisfactory methodology to best read the messages.  Obviously, the angle of the points of the wall have something to say and that was covered by drawing precise lines in Autosketch where the red and much shorter orange lines graze each side of the southerly point (remembering these are huge stone walls dozens of feet in length). The resulting system analysis was immensely complex and likely not in the interest of most readers on a detailed basis.

When one decides to spend some serious thought at the overall topic of “Earth Axial Tilt”, there are many subtle factors to consider. How much does the earth axial location change due to ice cap melting or freezing regardless of the angle? The data from A. Berger in Wikipedia clearly shows the cycles as nice smooth parabolic curves of equal value growing or descending in the angle of tilt. However, the zigzag wall is clearly showing something is very different in the coming and going of 1151-year cycles. The ratio of length of the red lines to that of the orange lines indicates a very precise consideration. Several of these ratios were measured, averaged and then a typical search launched for some type of meaning. The initial long length was 76.30 and the short length 22.21 and were put into a conjugate ratio format below.

Zigzag   (76.30 + 22.21)/(76.3-22.21) =1.821223886 x 16  sqrt /pi = 1.7182715

This being very close to A=1.718281828, that value was used to back calculate hypothetically other values for the lengths. It became clear that 76.30 was pretty close but 22.21 had become closer to 2000/90 =22.22222222. When that value was used, the 76.3 became 76.34054568.

(76.34054568 +22.22222222)/(76.34054568 -22.2222222) x 16 take sqrt/pi = A exact

The 22.2222222 /10 could represent the average tilt angle change instead of 2.2 but was there some other way to find design intent?

The product of sides [(76.34054568 x 22.2222222), sqrt x 4] squared x 10 /pi = 86,399.82365 or .1765 seconds less than a day. The historical account of the number of seconds in a day is replete with examples. Most characteristics only affect the length of the day in milliseconds, such as the modern-day theory that the Chinese huge Three Gorges Dam on the Yangtze River has done something similar by itself. However, the melting and freezing of the poles is a different order of magnitude as well as the change in the moon’s orbit.

In Antarctica where land affects the location of the ice melting the fastest around the shores, the center of mass of the ice has to move. In the Artic, there is no land at the north pole but the land around the top of Russia, Canada and Greenland effect where the ice melts the fastest. This variation may act as a time clock and focus Sacsayhuaman design to identify a specific time for the length of day.

The angle of the zigzag wall points seems to hover around 71 degrees and that is the azimuth variation (explanation below) from one 1151-year cycle to another even though both the red and orange lines are changing slightly. The Autosketch analysis was zoomed up and much more precise than the MS Paint image above. At this stage of the argument, these are primarily hints to look deeper. We need something that is much easier to defend and that is coming below.

The Incredible Precision of the Main Circular Structure

There are those who weakly criticize my efforts for seemingly portraying huge precision using Google Earth measurements. The observation I have made is that the builders didn’t even want their image to be measured extremely precisely because that is not the way an image like Sacsayhuaman speaks. If one were on the ground with a survey crew, they would find the stones rough enough to make ground level measurements nearly impossible with any confidence. The image below is of the overall Sacsayhuaman view to provide the reader with just how complex this structure is.

 

This is a composite image from Google Earth ground view. In order to keep the camera angle more directly overhead, two images were added together to make the top half and another for the bottom half. The two were fitted together using photo merging software where the horizontal black line is located. No major dimensional measurements were taken using both halves, only one portion at a time. The image was then imported into Autosketch for measurements. In GE, one finds a fairly long length that GE provides the length and azimuth for.  In Autosketch, that line is used to get a fairly good scale factor for all other measurements derived from Autosketch.

The center of each circle was found using multiple use of the three-point circle option in ACAD products. This procedure allows the circle to not be a precise circle nor the radius to be that precise at any given location. A new circle was drawn for each three small internal circles and then those again taken as three-point events.  Eventually, the more precise center is an average of the outer measurements. While this may seem trivial to some, it can provide another two digits of precision for dimensionless ratio analysis.

The next circles were constructed in the same manner. Equations are developed using dimensionless ratios such that a model can be created and the solutions derived from the model are extremely precise, far beyond what one can measure with even surveying equipment anywhere. The proof that these are designed, and not random, is in the checksum calculations, say for area or perimeter, that develop outside of the model. That will be detailed far below in the discussion of how certain time-lines develop our curiosity.

The most vertical red line was drawn close to the left side of the top double walls and then extended to the outer limits of the overall image where the zigzag stone walls are at the far northerly edge adjacent to the open field where visitors gather. The center circular area is at a higher elevation and not visible from that field on the ground. (shown best on the drone image at the beginning) Visitors gathered near the zigzag walls are in a different universe from those up at the concentric circular walls.

It was noted that this red line passes through three more significant events in the top half of the image. In the rectangular zone immediately north, the red line grazes a singular protrusion coming from the right-hand wall and also grazes the end of the horizontal wall where there is an opening. The third point is the grazing of a north bound segment of the zigzag wall at the far north. There are five consecutive points where the red line seems to have more significant meaning. This line appeared to be some sort of starting point for the overall communication. It was noted that the angles to the other radial walls were too complex to be random but yet they didn’t fit an easily known geometric pattern as say hexagons and figures twice that or more. When some things are extremely precise, it doesn’t make sense to assume sloppy construction until other options are checked.

Back to the red line to see if there were some hints there.  Another line was drawn somewhat horizontal attempting to find a basic azimuth for all the walls seemingly aligned in that direction. A relatively short thin red line is shown there and the angle with the near vertical red line is near 93.4760051 degrees.

          1E10 /(93.4760051deg x 440cps x 2000 AD) = 121.5674156 nm

One can see this group of units hardly represent anything we can imagine easily. The 440cps is the basis for tuning all our modern musical instruments and it is developed from 1.71875 x 256 where 256 is 2 raised to the 8^th power, or 8 octaves. The 1.71875 is a very low inaudible “A note” and the foundation for the Egyptian Royal Cubit and also closely related to the sun to earth distance in meters. CPS is cycles per second and the second is a unit of time and the year 2000AD is a unit of time, canceling each other out with appropriate conversions. This might leave us with the communication that degrees are related to cycles. We will have to find something else to confirm that hypothesis.

If degrees are to relate to cycles and cycles have to do with years, 2000 AD is a very significant basis in our current astronomy conversations via the 2000 epoch which is a standardized mathematical tool used by astronomers to relate the planets, sun and moon to each other. In email exchanges with the folks who developed the 2000 epoch, this is a very complex computer assisted calculation, but quite precise.

So, what is the significance of 121.5674156? This is the first wavelength, and second most abundant for hydrogen, in the Lyman Series. This number is typically given in nanometers and is especially used, along with its associate wavelength 121.5668, in the study of our total awareness of the universe. If an intelligence was trying to get our attention, this should do it.

Maybe we now backup and consider just what might be so important about a huge monument covering hundreds of acres that relates degrees to years. To me it signaled “does our current civilization move on, or are we doomed to restart from the stone age…again?” 

From other work on The Great Comet of 1680, that event seemed to be the foundation for a very important message. Along with the regular passing close to earth every 1151 years, there is the effect on the earth’s axial tilt scenario. Perhaps, the circular path clockwise and counterclockwise related to the gradual change in earth axial tilt until a reversal occurs on average every 20718 years. But there are only 360 degrees in a circle, so in order to process thousands of years, one must have to go around several times for each cycle of Comet 1680. For the 1151-year cycle, it would require 1151 / 360 = 3.19722222 revolutions. Dropping the integer 3 and multiplying the remaining fraction x 360 = 71 degrees net change. (see modulo function in Wikipedia) My first guess was that going backwards in time was counterclockwise and going forward in time was clockwise and that proved to be true. To confirm this theory, numerous lines for dates must pass through significant wall locations….and they do.

We know from the A. Berger work on earth axial tilt (see Wikipedia) from ice sampling, that we are currently somewhat near the mid-point of a half-cycle, or say cycles of 1151 years back from 1105.5 AD when the last close fly-by occurred with Comet 1680. (see www.the-word-according-to-jim.blogspot.com suggesting a little humor initially)

The 1105.5 line is drawn near the six o’clock position at an azimuth of 261.66 degrees in Autosketch and marked in red letters. The azimuth of the red line is 87.164 plus ((2000-1105.5)-(2*360))=174.5 to get 261.66 azimuth for year 1105.5.

Using the technique described above, the position 9 cycles of 1151 years prior, one can see in cyan that it hits right in the middle of a major group of walls at 180.66 degrees azimuth in Autosketch. One readily can see that the line from center is also parallel to all the edges of the walls in that area suggesting a design rather than a random event. But also, the azimuth, measured from north and not from east as Autosketch, is 270.6639665 and that taken to the square root, divided by 20 and then take the reciprocal is 1.215667411 which is again quite close to the most abundant hydrogen wavelength at 1.215668. This appears to be quite deliberate, very repetitive and not a random event further indicating “design intent”.

Obviously, if the intelligence behind Sacsayhuaman was reasonably close in modern times, it could have known quite precisely when the last reversal took place.  However, the scenario might be so complex that it did not know exactly when the next reversal would occur, but maybe felt that it needed to suggest some other parameters for us to look for. Apparently, we need all the help we can get to find something like a brown dwarf perhaps further darkened by a partial cloud on the sun side that we are watching for but at a very distant location in the Oort Cloud.

In the bottom right at about the 4 o’clock position is a thin dashed cyan line representing the date 18 x 1151 = 20718 years forward from the last reversal. (one can click on the image to make it larger or if in MS Word, slide the sizing bar at the bottom right to the right) In the two spaces between ring 2 and 3 (numbering from center to outside) the cyan line grazes the upper side of the top wall and exits grazing the lower side of the lower wall, perhaps suggesting some type of significant change and maybe signaling a reversal probability. 

As the cyan line is extended beyond the rings it first grazes the corner of a large rectangular space with tall vertical lines and much shorter horizontal lines. The cyan line then continues on and grazes the corner of another rectangular area. This seems to make the cyan line act as a pointer begging us to check the dimensionless ratios in each of the two rectangular spaces. This could be the way the cyan line speaks to us about the communication intended. To believe we are on the right track, we must find relationships and then something unrelated must provide a checksum of obvious importance and enhancing to the hypothesis that this is “design intent”.

The first vertically developed box is replete with shadows and stones atop the walls making any line we draw a bit fuzzy. To gain any precision we must find fundamental elements of a mathematical model which can be solved with multiple equations for very precise numbers, especially if those numbers are seemingly related to the topic of axial tilt.

In this blog one will find repeated use of the “Newgrange Procedure”. This is covered in detail in the blog www.newgrange-geometry-portals.blogspot.com . However, that blog is very technical and attempts to link marks on the stones to our most recent conversation about magnetic portals associated with solar activities. A short summary will be provided below for the Newgrange Procedure.

The Newgrange Procedure Summary

If in measurements and then repeated multiples of 2 or ½ (doubling as in octaves used by Egyptians) we find a number say 14.9xxxxxxx we should next take that number to the 1/5^th power to get a number 1.718xxxxxx.

Kepler’s Third Law states the square of the planet period is proportional to the cube of the average distance between the planet and the sun. This has been taught likely first in eight grade science class in the USA. Kepler inherited some regal status from his father and had associates in astronomy like Copernicus and Tycho Brahe. However, this ratio 3/2 =1.5 is not only imprecise, but has a deviation from one planet to another that is very easy to plot say in a spreadsheet like Excel and is represented by a mathematical system key to better understanding our solar system.

In the 2000 epoch data, if we take the natural log of the period divided by the natural log of the distance in AU, we see starting with Mercury and progressing out to Neptune (excluding earth=1) the following sequence of numbers. [1.4999643876, 1.4999330611, earth 1, 1.4999543749, 1.4998557900 (asteroid Ceres), 1.4994922176, 1.4983317037, 1.4979776809, 1.4973258429]

In the plot below we can see that these are far from random numbers and definitely show a different equation for the solid planets from the gaseous planets. The fact they are not perfectly aligned may indicate that there may be other forces, such as magnetic and electrostatic that play minor roles in their balance in the solar system.

While many botanists seem puzzled about how much nature uses phi to generate efficient patterns in plants and even in the shells of sea animals, most people just shuck it off to something nature does and have not spent the time investigating from a mathematical point of view. Do you suppose God has to minutely manage most of nature in order to create phi in all the animal and plant kingdom? Actually, for the mathematically acute reader, there is the phenomena called fractals and in Wikpedia that article leads to scale invariance and out into the scientific weeds of quantum mechanics and the nature of fields. Most of these topics have been brought into focus in the last few decades and were not taught in high school or college until after I passed through those institutions.  So, don’t feel too bad.

The image below from MS Mathematics is far more complex and far reaching than is immediately recognizable by the average reader. For most readers, just temporary acceptance that something really big is being demonstrated.

 

 

 From the zigzag wall in the image far above, the 425.16 feet x 4 take the square root, multiply by 10 and take the square root again and finally multiply by 10 = 203.0734268.  This is close enough to the 203.073638 in the image above to render phi and basic electric charge to 9 digits using only 5 digits in the GE 425.16 feet.

The Central Circles Speak to Us

In the analysis of the concentric sort of circles in the main portion of Sacsayhuaman, this exact topic surfaces in the checksum for the outermost edge of the third ring and the innermost edge of the inside ring. First, let’s take just a practical thought about communications in general.

In the lumber and timber management world, we frequently use the technique of “timber cruising” whereby the trees are measured for their diameter at the stump and their height. The height is easily measured by measuring out from the stump until we are looking up at the top of the lumber producing section at a 45-degree angle. The diameter at the stump is measured by wrapping a tape measure around the tree where it will likely be cut and then dividing by pi to get the average diameter. If, after harvesting, the stump is directly measured for the diameter at several locations, they will all differ a significant amount because the roots generate a different amount of water and nutrients on different sides of the tree.

On my property in Idaho near the Sawtooth Mountains, huge yellow pine or Ponderosa Pine trees can easily be six feet in diameter or more and be 200 years or more in age (200 growth rings). The diameter can vary from say 66 inches to 77 inches. Clearly trying to calculate the lumber in a tree could be off substantially by taking a single diameter measure of the butt of a log.

At Sacsayhuaman, the measuring of the diameter of the rings is similarly a variable that just doesn’t work and perhaps that is why there is scant information available from ground surveys. Like the routine above for measuring the butt end of logs, one must start with the perimeter. It is abundantly clear the builders had no intention of making the rings perfectly round or even perfectly some type of ellipse. In the image below using Google Earth path function, the circumference of the outermost ring and the innermost ring are shown in short segments.

 

The outermost ring circumference was so close to 254 feet that it was used initially and the innermost ring very near 17 feet x 2 x pi. The 254 feet was quite close to phi x 25 x 2 x pi and then using the 17 feet radius, the conjugate ratio was found to be very near the square root of 6. With the outermost theorized to be exactly phi x 25 x 2 x pi = 254.1601847 feet and the conjugate ratio exactly the square root of six, the inner radius was found to be 16.99761302. There is absolutely no way anybody could survey the diameters and get anything close to that type of precision even by averaging dozens of measurements.

So, how would the llama lads of the Andes build a precise wall? Fairly simple to braid a vine to be the circumference you want and lay it out on the ground near a circle and “build to fit”. The only thing “high tech” is the mathematical relationships which the builders laying out the rocks never knew.

Is there some additional communication happening here? If we take the fourth root of 16.99761302 and multiply by 100 to build a conjugate ratio number discussed above, we see 203.0471904. That number is very similar to the 203.0736383 from the Newgrange Procedure.  The conjugate ratio of (203.0736383-1)/(203.0736383+1) = .990199616 x phi = 1.602176635 on a ten key calculator but is far more precise in Mathcad. By the very nature of that type of ratio, the substitution of 203.0471904 yields a very similar number of 0.990198346 x phi = 1.602174579.

One needs to note how this whole scheme developed along parallel paths using phi and the Newgrange Procedure along with the basic electrical charge number. This doesn’t allow for any type of computer search for an “invented fit”. To me, this further signals that we should be interested in the electric charge that may be involved with Comet 1680. Most of the Google Earth model inputs were developed at least in part using perimeters, areas and the dimensionless ratio of perimeter squared divided by area.

The mathematics for the balance of the analysis of the concentric rings is far too complex for everyone except those with special interest in fractals and scale invariance. A special blog will eventually be created to develop the complex communication that may be given at Sacsayhuaman.

How Does the Rectangular Spaces Speak to Us?

In the magnified image below from the earlier image far above, of the two rectangular areas, the cyan line representing the next potential reversal at 18 periods of 1151-years points to the corners, the rectangles are marked horizontal and vertical first box and similarly horizontal and vertical second box in orange. Examination of the first boxes shows the mentioned fuzzy lines available from the image. The shadow is created by the fact the camera angle is not exactly overhead. The bumpy shadow on the right vertical line could be caused by local folks stacking rocks atop that side of the wall.

 

As mentioned in the measurements of the ring circles, a systematic variation in technique is used to create a system of numbers that can be averaged. In this manner, the vertical legs for the first box came out 51.794 feet.  That multiplied by 4 (doubling twice) = 207.176 and that seemed pretty close to 20718 and certainly is within the accuracy of the procedure used. Using the reverse Newgrange Procedure on 2.0718, the number related to Uranus was 14.979771, plenty precise for the initial approach.

Using a similar procedure for the horizontal green lines in the first box developed the number 206.7845 which only physicists will recognize as being close to the magnetic flux quantum at 206.7833848. Working in reverse using this number as base, developed a horizontal green line of 9.47661940.  Probably most readers will have no idea what the magnetic flux quantum is or what it is about. For the purpose of understanding what the Sacsayhuaman communication may be about, just consider the analysis of the image is trying to draw our attention to magnetism, and in particular superconductivity. Many readers will know the sun has dark spots called sunspots and these seem to have some relationship to magnetism. There are solar cycles where there are a lot of sunspots and then other periods when there are much fewer. But nothing has occurred in recent times like the Maunder Minimum that started 35 years before Comet 1680 and ended 35 years after for a period of 70 years. This seems fairly close to the 71 years difference on the Sacsayhuaman circle of 71 years or 71 degrees.

 We know that brown dwarf stars can be made up of a very dense material weighing tons per cubic inch but we don’t have any pieces to measure whether it is a superconductor or not, but since it is so dense, we can suspect it might be. The superconductor property could easily contribute to large magnetic fields known to exist in some dwarfs already discovered.

Now we have two numbers developed systematically from two different scientific numbers that cannot be shuffled to obtain a specific result. The magnetic flux quantum has now been committee committed to its current value, but varied in the 7^th digit a few years before. The 1.497977 value for Uranus is only precise for the year 2000, so maybe that’s why the Sacsayhuaman design used that dimensionless ratio with the year 2000.

How can we be sure these are the numbers being communicated? The way used here is to use the numbers together in a different scenario and see if they develop anything of interest. My first try was to use them as a conjugate ratio. (51.7966194+9.4766588) / (51.7966194+9.4766588) = 1.447857638. Multiplying that number by 2 (doubling), then taking the square root, multiply by 10, and take the square root = 2.031044702. Recognizing what was found in the Newgrange blog above, this was close enough to think there might be something better.

Simply taking the product of the horizontal and vertical lines such as calculating the area and then taking the log base 10 followed by the square root and doubling and then taking the reciprocal yields 0.304801155 or the conversion of .3048 legislated by committee in recent decades. Many might think that the relationship between the British units and metric was an accident, but it most certainly was not. There have been countless times when an experiment designed to prove one issue was found to prove something else quite important when converted to the other units. Experiments by Alessandro Volta is but one such example.

We shall discover many other times in the analysis at Sacsayhuaman that the conversion number is used as a checksum. For example, 10^^{(0.3870979158)}/8 =0.3047950635 from the 2000 Epoch spreadsheet and the 0.387xxx exponent is simply the planet Mercury to sun distance in AU.

Moving on now to the second rectangular box grazed on the similar corner with the cyan reversal line at 4 o’clock. The approach was very similar to the first box and so those detail steps will not be repeated.

The left vertical line is 2.110611404 raised to the 4^th power =19.84417835 where 21.10611404 is the famous 21 cm line used in many astronomical observation analyses. The related frequency 1.420405752 is squared and multiplied by 10 to get the right vertical line at 20.175525.

The top horizontal line is 25 / 1.215668 = 20.56482526 where 1.215668 is the most abundant hydrogen wavelength and is second in the Lyman Series (mentioned above). The bottom horizontal is 1.71875^⁽⁵⁾  (Egyptian Royal Cubit and discussed above) x .4 and then squared and then take the reciprocal and multiply by 100 and finally cubed to get 21.44167636. This is more complicated but still uses mathematical procedures common to hydrogen analysis.

The checksum is the perimeter (sum of sides) x .04 and then take the reciprocal to get 0.3047806. One might note that the sacred number relating to the life span of Buddha is 311,040,000,000,000 and that times 7 cycles = 2.17728 x 1E15 and the cube root of the natural log of that number and then take the reciprocal is 0.304793711.  It doesn’t seem like our two major system of lineal measurement was all that accidental.

What might be the reason for Sacsayhuaman to use these constants involving hydrogen and then 1.71875? Most of our universe is made up of hydrogen mass in the stars and no telling what is in the black matter at the center. Also, the bulk of the radiation in our universe stems from hydrogen in one form or another. But the use of 1.71875 (Egyptian Royal Cubit) is less likely to be understood by most readers.

Probably some small percent of readers know that this number times 12 to convert from feet to inches is approximately the distance on a male human arm from middle finger tip to the center of the ball of the elbow, some 20.625 inches and was an easy way to have a feeling for the length. The number (206.25 / 144)^^(1/2) x 5 / 4 = 1.495979857. This number times 1E8 is 98 km greater than the standard astronomical unit number in the epoch 1900 and 37.4 km smaller than the epoch 2000, currently in use. This is far too precise to be an accident and is an easy way to call attention to the earth to sun distance. Also, 1.71875^⁽⁵⁾ = 14.9990432 is between the similar numbers x 10 between Mars and Asteroid Ceres shown far above in orange text. The equation for the solid inner planets ends there and then a gap for Asteroid Ceres and a second equation for Jupiter to Neptune. This number has everything to do with the order of the planets. (see www.the-word-according-to-jim.blogspot.com )

 

My Conclusion

 

There are at least a dozen areas discussed herein that indicate Sacsayhuaman is trying to guide anyone willing to listen towards the cause of earth axial tilt being The Great Comet of 1680.  There are many more not mentioned as of this writing. The message from Sacsayhuaman is meant for not only the existing civilizations, but also those who may visit looking for a place to settle.  Having only 1151 years to develop before some potential catastrophe comes back may not be a suitable choice for many. Just the fear and worry would be enough to scare off most folks.

 

It communicates by using a mathematical language of association of mathematical and scientific terms developed in our modern scientific world during the last 400 years. Whenever the huge construction was built, it is obvious somebody knew a lot about the period back to the last reversal. This could be direct experience or told to them by other folks with direct experience in their civilizations.

 

The intelligence behind the design and construction of Sacsayhuaman is probably far beyond our current imagination, but they wanted to design something that we could benefit from when the time came that the inhabitants had sufficient level of basic math and science technologies.

 

Since the evidence shows that earth has been axial cycling for perhaps millions of years, it appears that the close encounter of Comet 1680 with the sun has other factors, such as magnetism or electrostatic forces, that help to keep the orbit in tight adjustment for the sungrazing format, relieving some of Newton’s worries (again see www.the-word-according-to-jim.blogspot.com ). 

 

However, that doesn’t mean there are not numerous very serious ramifications for such a large body passing perhaps only a small increment beyond twice the earth to moon distance. The only saving grace is that the body is traveling so fast and the earth crust so slow to react that crustal shifts are highly localized and take so long to develop that only isolated portions of the civilizations has been affected.  But the population of earth has greatly grown since the last close encounter in 1105.5 AD and the percent of the population camped out near the oceans has grown substantially thereby putting them all at increased risk for huge tsunamis.

 

Thanks to the work done by archeologists studying ancient cavern artwork, there is very solid evidence that something very traumatic happened sometime in the not too distant past to civilizations all around the earth. It is likely most of the artwork was triggered by different passes of Comet 1680. One might consider the solving of the Sacsayhuaman Speak as a gigantic puzzle put together with widely known mathematical and scientific constants and their multiples developed from the Newgrange Procedure.

 

In the Wikipedia article on Sacsayhuaman, there is mention that the modern-day residents celebrate a major religious holiday on the shortest day of the year, the winter solstice. Funny thing….that is when Comet 1680 last cycled around the sun on the opposite side of the earth.

 

It might be helpful to go to the Wikipedia article “Sacsayhuaman” and then onto “Inti-Raymi” and then “Inca Religion” and finally to “mythological system”. If the reader has at least a partial grasp of what has been presented herein, one might interpret these topics a little differently from what the authors were advocating. Nothing about Sacsayhuaman seems “mythological” to me.

 

Jim Branson

Retired Professional Engineering Manager

Bransonjim9 at gmail dot com

 

Update 5/21/2024 Sacsayhuaman Comet 1680

The use of the prime number 1151 was so prolific in the forward and backward looking in time that no initial finding of the number turned up in the first pass. But from similar analysis on other ancient major constructions, the placement location gps coordinates seemed it should be there in an important area. The gps of the concentric circles should have an exact reason for being where it is.

Yet using similar dimensionless ratios, such as longitude divided by latitude and a dozen or more conjugate ratios, didn’t turn up anything earth shaking, so to speak. What follows in this update is truly earth shaking.

When the inside surface of the innermost ring was used in a conjugate ratio with an outermost ring, it was obvious that the outer surface of the innermost ring might be important. Google Earth perimeter measurements ran from 121 to 123 feet. That meant that a circumference of 115.1 feet existed near the center of the wall, but nothing shows up on GE and if there are marks on the wall, they would have to be found by a ground based search, something fairly expensive to undertake.

It then seemed that other dimensional units should be investigated. While nothing turned up in metric units, something really important turned up in inches. The formula below was found to be very important.

            [(perimeter 115.1 feet x 12 inches/ft) / pi / 2] ^⁽²⁾ x pi to yield area = 151811.012

From other work, this number times 8 would yield a number like 1215.668, the primary hydrogen wavelength used throughout the overall construction.

            151811.012 x 8 = 1214488.096 and e^^{(5 x 1.420405752)} = 1214.428361

That is five digits of precision, but without precise measurements of the outside surface perimeter, something else had to be found. Forcing the center of the ring to fit 115.1 x 12 and using the previously found inside perimeter at just under 107 ft meant the outside had to be around 125 feet and all the measurements clearly were under that by a couple feet or more.

The second equation needed to secure a precise model had to use the latitude and longitude and that gps for the center of the circles just didn’t work with sufficient precision. In taking measurements to the NE, NW and SE made things worse, but out at the very end of the plateau on the SW was a small wall and some type of marker basin just below. A line drawn using the line function of Google Earth from the marker now marked Comet 1680 to the center of the circular walls was in the ballpark of 575.5 feet. When stretched out to that distance, the line grazed two walls on opposite sides of the circle and crossing through the circle center. Since nothing was available to terminate the length, the line was just left at 575.5 feet as shown in yellow in the GE image below.

 

 In the white box insert at the bottom left of the image, we find the absolute (positive value) latitude and longitude of the basin marked Comet 1680 period. In the third line we see that taking the natural logarithm of the longitude divided by the natural log of the latitude and then multiplied by 5 and then taking the sixth root, produced a hydrogen hyperfine frequency of 1.420422382 marked in green.

Now instead of using 115.1 precisely, it was found that 115.1019546 converted to inches for the circumference produced that same frequency when calculating the area and shown in green at the bottom of the insert. Using that number for the Comet 1680 period would not change anything in the analysis of the circles where the prime 1151 was used. And essentially, this seemed to indicate that the period of Comet 1680 was known by the intelligence behind Sacsayhuaman Speaks.

Now it would be nice if something else seemed to indicate “design intent” rather than just plunking something on the ground.  In the second white insert on middle right one can see the model values inserted for the azimuth of the yellow line viewing from the circle center out to the Comet 1680 period marker. The original GE data was only available to two decimal places at 122.43, but still very precise. This shows the azimuth to be 122.4321155 which when squared and multiplied by 20,000 yields the force fit of 299,792,458 for the universally accepted speed of light in meters per second. This certainly supports design intent and the level of intelligence the Sacsayhuaman Speaks has. For me this disrespect of units and heavy emphasis on numbers has savant written all over it.

For this high altitude location, irrigation was an absolute necessity to feed the hoards of folks needed to build this colossal collection of huge stones. But like modern concerns for job security, nothing like a full belly to get somebody willing to work hard for perhaps centuries.

Recent blog:  www.great-pyramid-speaks.blogspot.com