HIDDEN MATHEMATICS - Randall Carlson - Ancient Knowledge of Space, Time & Cosmic Cycles

hello i'm randall carlson and i would like to 

welcome you to a very special episode of after school i'm a designer and builder by profession 

but have for many years been an avid investigator into the marvels and mysteries of this amazing 

world we inhabit i would like to invite you to join us here on a journey into the realm of 

sacred number and symbol and the forms patterns and cycles of both space and time in which these 

numbers are embedded today thanks to the talented team at after school we'll take a peek behind 

the veil into the ancient symbolism of sacred number that still exists as part of our everyday 

lives the animation format employed here is a powerful medium for conveying the essence of this 

knowledge and so without further ado let us begin so what is the universal language it's symbolism 

it's it's number and symbolism and form and number symbolism and form are universal regardless 

of the spoken tongue uh which one happens to have been brought up in and hopefully in the next 

hour hour and a half i'm going to be showing you examples of this so that you can see for 

yourself what actually the universal language of of geometry and symbolism actually means so we're 

going to jump right into it here and talk about sacred numbers embedded in everyday phenomena 

these are the things that we all pretty much think about and use on a daily basis without ever 

really pondering the fact that there's actually deep symbolism hidden within them we measure 

our life in terms of days of 24 hours referred to as a tropical or solar day and it turns out 

that 24 of these hours are 1404 minutes this is one of the key numbers within the ancient canon 

of numerical cosmology that the ancients used to basically design and create their world 

the 440 minutes equates to 86 400 seconds so if you just listen to these numbers look at 

them and let them kind of soak into your brain once you've gotten into this as a as a actually a 

system a methodology of transmitting information these numbers are actually carriers of information 

because each number stands for meanings beyond just the apparent ones so we see 1440 minutes 

is equal to 86 400 seconds and a twelve hour span of time which is usually represented 

on the the clock uh 720 minutes which equals forty three thousand two hundred seconds so 

just look at those numbers you'll think that obviously forty three thousand two hundred 

is half of eighty six thousand four hundred the fourteen hundred and forty we're gonna 

we're gonna counter that number again here momentarily so these are just examples of 

some of the time measures how we think about time in our particular culture space measure we talk 

about a foot we talk about uh of 12 inches we talk about a square foot you'll notice that the 

square foot has the same repetition of digits 144 as the 24 hours does all we do is we tack a zero 

on that we have the number of minutes in a day we have a cubic foot equaling 1728 i want 

to call your attention to the one square yard which is 1296 inches as it turns out we 

could stick a zero on the end of that we have 12 960 years which turns out to be an 

awesomely important span of time in terms of some of the great cycles that affect this planet 

and and that's what we're going to be getting to uh geometry everybody knows that a circumference 

of a circle is divided into 360 degrees and that 360 degrees of arc because each degree 

is subdivided into minutes of arc there was then 60 times 360 as it says there 

are 21 600 and then you'll notice the 21 600 minutes of arc equals 1 million 296 000 

seconds of arc that's a mighty fine subdivision of a circle that would be used mostly by astronomers 

to measure the motion of distant stars but notice that number one million two hundred ninety 

six thousand and you'll see that it's the same number just raised by three orders of magnitude 

as the number of square inches in a square yard okay now another thing you might notice about most 

of these numbers from 1440 to 8640 43 200 144 1728 36 1296 is that they all kabbalistically 

add up and reduce to the single digit 9. notice that all of them pick any one of them 

other than say with the exception of 24 but 1440 adds and reduces to a single digit nine 1296 

you'll notice the same thing one and two and nine and six is eighteen which adds to a nine 

okay so have you if you're taking notes write these down or make mental notes of these numbers 

because these are the numbers we're going to be encountering now as we go progress through 

this through this journey here into the hidden mathematics so we will start by looking at how 

some of these same numbers and other numbers are associated with the measures of geometry 

and here we have what i refer to as the alphabet of sacred geometry and these are the simplest 

forms these are the polygons you have a circle which is actually not a polygon but we have an 

equilateral triangle a square and a pentagon and each of these can be measured by the 

number of degrees that determine the angles of the sides so for example we look at a circle 

which is just a special case of an ellipse with eccentricity of zero we've covered this already 

so let's go right to the equilateral triangle and we'll see it's 60 60 and 60 which equals 180 

degrees again notice that we've got the number 9 recurring we go to the square which is 4 times 

90 degrees the total number of degrees defining the square is 360 the same as the circle the same 

as the measure of a circle and we measure the polygons by essentially measuring the angles of 

the vertices or the corners so then likewise with the pentagon each of the angles between successive 

edges is 108 degrees so you multiply the 108 times 5 and you get 540. again notice everything adds 

up to nine for some strange reason 108 is going to turn out to be a very important number 

it's a lunar number as you're going to see 108 anybody know what metal has an atomic weight 

of silver that i mean atomic weight of 108 yes that's right it's silver very good all right 

so let's get into some of the solid tetrahedron is this form right here and it's composed of four 

of the equilateral triangles so we have as it says here there's four triangular faces four times 180 

is 720 degrees that is the total angular measure of this particular geometric form this is known 

as one of the platonic solids or regular polyhedra polyhedra means multiple faces and the regular 

polyhedra is the family of five there's only five that have the same shape or the same polygonal 

face in this case the equilateral triangle and then we will move on to the cube and the cube is 

six faces and they're each square and we saw that that each of those square faces had 360 degrees 

6 times 360. the important thing is to grasp that the total number of degrees in this form is 2160 

2160 and we're going to find out that that number actually turns out to be pretty significant in 

the measure of other parts of time and space then we'll go to the octahedron 

and it has eight triangular faces this is our octahedron right here and they're 

all you'll notice that so far the the tetrahedron and the octahedron are both composed of 

triangular equilateral triangular faces and essentially if you look at the difference 

between the tetrahedron and the octahedron you could just imagine that if we could take 

the tetrahedron and split it along an edge and insert a fourth triangular face it would cause 

it to flatten out somewhat and it would give us the top half of the octahedron and likewise we 

could insert a fifth equilateral triangle in here and it's going to give us the icosahedron 

which i'll show you in a minute if we tried to insert a sixth one though we discovered that the 

whole thing flattened out into two dimensions so that wouldn't work as far as enclosing 

space so in any case notice we're seeing a recurrence of this number that we saw 

1440. remember we saw that number back right right here the number of minutes in a day so 

let that that relationship sink in the number of minutes in the time that it takes our earth to 

spin exactly once on its axis relative to the sun happens to be the same number of 

degrees that define the octahedron and that's actually what we're talking about then 

when we're talking about a tropical or solar day we're talking about one exactly one rotation 

of the earth on its axis relative to the sun okay then we have the icosahedron which is 20 faces all equilateral triangles 

you can see if you look at the vertex of this thing you see that there are five faces clustered 

around each vertex so if we were to split an edge insert another triangle what it would happen is 

it would flatten out into a hexagon a flat hexagon with six equilateral triangles about its center in 

any case there are 20 of these triangular faces 20 times 180 is 3600 so again we have one of our 

nines and then our final is our dodecahedron my favorite shape this is what plato 

referred to the dodecahedron as being the the shape of the universe itself 

the dodecahedron you'll notice has uh 12 faces 20 vertices whereas the icosahedron has 

20 faces and 12 vertices so they're duals of each other we could actually suspend this icosahedron 

if the dodecahedron was hollow we could put it inside we would discover that each corner 

of the icosahedron coincided with the center of the pentagonal face of the doe decahedron okay 

each pentagonal face as we found out was a each edge was 108 5 times 108 540 12 times 540 as it 

says is 6480. so again we've got a the number nine redundantly occurring over and over again 

in these measures okay 6480 turns out to be a critically important number as well as 

you're going to see as we proceed along here oh and then we have the star tetrahedron which 

would be two tetrahedrons interlaced and i don't have one of those today but if you can picture 

a tetrahedron like this and then one like this interlaced it gives you this what's known 

as sometimes the star tetrahedron or the stellated octahedron it is composed of two 

tetrahedrons each of 720 so here again now you're seeing the repetition of this same 

number 1440 being the measure of the of the uh star tetrahedron okay so now we're going to talk 

about time measures the first thing we're going to look at is astrological time cycles i don't 

know how many of you have studied astrology but in this particular scheme of time the total 

duration of the processional cycle which is 25 920 years this is the motion of the earth on its 

axis like this or you could think of it like this the axis of the earth actually forms sort of 

an hourglass motion a long slow period of um of rotation it's some you could consider earth's 

third motion next to its first motion which is the daily rotation of the earth on its axis 

its second motion which is the orbit of the earth around the sun and its third motion 

which is the precession of the earth's axis the daily the the diurnal or daily rotation of 

the earth on its axis gives us the day-night cycle which is obviously of critical importance to our 

life down here on earth the orbit around the sun also is likewise of critical importance because 

that's the yearly cycle the third motion is what the ancients refer to as the great ear and it's 

been measured by astronomers at slightly over 50 seconds of arc of motion per year which actually 

puts the astronomically determined number slightly less than this one but we don't know that that's 

necessarily constant for the whole cycle in any case the the ancient number that was typically 

attributed to this great year cycle was 25 920 years that great year was considered to 

be analogous to our annual year and just as the annual year was divided into four seasons 

of spring summer winter and fall likewise the great year was divided into four great seasons 

symbolized by the four fixed signs of the zodiac the bowl the lion the eagle and the man or the 

angel if you divide 25 920 by four to determine the duration of each season you'll discover that 

it's 6480 years which is interesting because four hundred 6400 eighty years as 

you recall was the total measure of the dodecahedron so here we 

have this same number linking the measure of space in terms of the dodecahedron 

6480 degrees and the season of the great year which was considered to be profoundly 

important to ancient cultures all over the world who had various ways of representing 

this four-fold division of cyclical time all right then we have from the ancient 

caldeans we have what was known as the cerro cycle which was 3600 years so we see a 

repetition of that number the 3600 if you re recalling and are taking notes is the number of 

degrees measuring the icosahedron then we have the the decans you'll notice that a platonic month 

which is 1 12 1 12 of the great year right there you divide that number by 12 you get this number 

2160 and that number you may recall depending on how good your memory is is the number of degrees 

measuring the cube two thousand one hundred and sixty and then you'll notice the two decans of 

the ecliptic is or 20 degrees of the ecliptic is fourteen hundred and forty the number of 

degrees in the octahedron and one deckhand or 10 degrees for any of you who've studied 

astrology you know that the deckhands are important to astrological determinations one 

deckhand of 10 degrees then takes 720 years and so here we have all five of the platonic 

solids represented in these particular time cycles and over here i'm going to mention that 

ancient cultures all over the world used to run two calendars successfully a secular 

calendar which is typically like our modern calendar of 365 and one quarter days and then 

they would have a sacred calendar of 360 days and in five days intercalated they would 

call it typically they would do whether it was the greeks or the egyptians or even the 

mayans ancient cultures all over the world had similar uh traditions of setting those five days 

aside and they were considered to be unlucky and so no really no work no activity nothing 

nobody ever tried to do anything on those days they would just take those days off five days off 

then they would resume again and pick up their sacred year of 360 degrees now the sumerians had a 

belief that the year was once actually 360 days in length and it's somewhere along as a result of 

some cosmic catastrophe of some undefined sort the day was the year was lengthened by five and 

one quarter days and so the sumerians who are the first known culture to mathematically divide the 

circle into 360 degrees it is believed that one of their motives for doing so was they believed that 

that circle then could become a model of the year and each degree then representing one day so what 

we have now is a synchrony going on in that if the year the idealized or sacred years 360 days then 

what we have if you actually picture it is that the earth is describing a circle in its orbit but 

then in each degree of motion around that circle it's turned once on its axis so what we have 

there is a synchronization of this cosmic motion representing these numbers so in any case the 

ancient cultures would reckon time measure by 360 days according to the sacred calendar 

and by doing so they could then divide that 360 days of the sacred year into 

subdivisions such as this right over here and we'll just run through that very quickly 

you'll notice that one deckhand turns out to be 10 days within the sacred calendar and that's 

exactly 14 400 minutes so here we have the same numbers recurring again you'll notice though that 

the number the symbolism of the number is not lost or the system of the the symbolism of the 

number is consistent irrespective of its order of magnitude so in other words you could say 

the square of 12 being 144 has the same symbolism as 144 times 10 or 144 times 100 as you have right 

here or even 144 times a thousand again referring back to the book of revelations there's a verse 

in there uh referring to the 144 000 redeemed of the earth and we'll get to that uh here shortly 

that's an interesting quote because they have various ways of embedding these sacred numbers 

into the into the various traditions you'll notice that three decades or one platonic month in the 

platonic year was 2160 years but in the sacred year of 360 days again there's that 43 200. so and 

go down here the one platonic season of 6480 years 129 600. so if you're taking notes and writing 

these down you're going to find it you're writing down the same numbers over and over again 

simply raised to different orders of magnitude okay this is just a little graphic that depicts 

this processional motion that i'm talking about here this motion right here that is generally 

assumed by most astronomers to be primarily induced onto the earth by by the moon secondarily 

by the sun and then also a contributing factor by the planets so it's almost you could almost think 

of this processional motion of the earth's axis as being the uh the vector summation of 

all the gravity forces of the solar system acting on the earth causing it acting see when 

the planet rotates on its axis and this is a critically uh critical factor 

as it rotates on its axis it spreads out towards the middle its equatorial 

diameter is greater than its polar diameter and that in fact is critical to the earth 

maintaining uh axial stability so that it's not doing this in its orbit around the sun 

because if it was doing that uh it's likely that higher life would have never evolved in the 

first place but due to the fact that it spins it spreads out so that the diameter of the equator 

is 26 miles greater than the diameter of the pole the sum total of all the gravity forces impinging 

upon the earth from moon sun and planets acts upon that bulge as if it was a flywheel and 

is actually pulling it around pulling it around and it's that that that leads to the great year 

and uh what it does is over a period of half the great year one million or uh 12 960 years is it 

reverses the seasons so that if we were able to jump in a time machine and go back 12 960 or ahead 

12960 we would find that everything was reversed if we would keep the same gregorian calendar in 

place the seasons would have been reversed so that winter would be july and summer would be in fact 

and then what we would see is that hemispherically like we know that when it's winter in the northern 

hemisphere it's southern it's summer in the southern hemisphere well those seasons would be 

reversed they flip it's a back and forth it's an oscillation between uh the two hemispheres of 

the earth over a period of of of 12 960 years this shows that the wheel of the great year 

with all of the ages the astrological months as they're known and if we were to place ourselves 

right at this position right here where it says zero years bp bp means before present and it also 

is 25 920 years so what has been happening is that the vernal equinox the oppo a hypothetical 

point in space occupied by the sun when day and night or the exact same duration that vernal 

point is moving through space as a result of this axial motion of the earth and ancient 

peoples would go to great lengths to try to observe and predict that motion so they would set 

up structures oftentimes on a very large scale that would be oriented to certain points in space 

so that one could from certain vantage points such as the center of a ringed megalithic structure 

for example or the center of a temple that had an axial orientation to a certain point on the 

horizon one could make my new observations of this slowly shifting uh vernal equinox or for example 

the solstices the vernal equinox and the solstices are two lines in space that are right angles to 

each other i'll show you a graphic in a minute but in any case as we go around this wheel this 

great wheel here this wheel of this cosmic wheel what we're going to see is that each of these is 

a zodiacal sign we have here pisces we have here aquarius so now the vernal equinox is poised 

it's it's moving out of the star constellation of pisces moving into the star 

constellation of aquarius and so we say that roughly for the last 

2000 or if we want to be precise 2160 years the vernal equinox has been transiting the 

constellation of pisces and therefore we've been in the piscean age prior to that was aries 

prior to that was taurus we find that the uh the beginning of modern recorded history goes back to 

the taurian age we can essentially express all of recorded human history between the 

the latter part of the taurian age through the age of aries the age of pisces 

and now into the age of aquarius right okay if we go back we'll notice though that 

the numbers here are the same numbers the same family of numbers we've been looking at here 

2160 4320 6480 8640 10800 we saw the number 108 i called your attention to that when i was 

asking you what was the atomic weight of silver and which metal i mean which which 

astronomical object is silver associated with the moon yes 12 960 puts us 

exactly on the opposite end of the equinoctial axis and then we see it right angles 

to each other we have this is the autumn spring axis and this is the summer winter axis and 

they're at right angles to each other and the whole thing is rotating you've got a picture 

that this propeller is rotating counterclockwise so that in 6480 years taurus will be 

have moved down to the zero point okay we've seen this so this is just a recap of 

those same numbers and you will notice 8640 the number of seconds in one day you'll notice 

that in a half a day 43 200 well if you go back to the dawning of the age of aries 

three hundred and twenty years ago and these are just more interesting ways 

that these numbers show up if you take twenty five thousand nine hundred 

twenty seconds and set each each second corresponding to one year of the great 

year you'll discover it's exactly 432 minutes 25 920 hours in turn is 1080 days and 25 920 days 

is equal to 72 years in the sacred calendar which is interesting because i think if you most uh 

determinations of the average human lifespan right now in history is about 72 years 

so you could think of a human lifespan as being equivalent to one day of the great year 

there's an interesting proportional relationship going on there between the total processional 

cycle of 25 920 years and one human lifetime in the vedas they had various ways 

of encoding uh references to numbers let the brahman hear the praise we utter 

this has the four-horned buffalo emitted four are his horns three are the feet that 

bear him his heads are two his hands are seven in number notice four three two raised 

to the seventh power gives you the number of years in the ancient vedic time span the culpa 

4 billion 320 million years which i find to be suspiciously close to the modern estimate for the 

age of the universe which is about four and a half or the age of the earth rather which is about four 

and a half billion years so this was one way they had of encoding or embedding references to these 

sacred numbers in the vedas and this is probably some of the oldest writings that extent where 

these this canon of numerology is is presented in ancient samaria from the various writings of 

historians like um barossas and others and from the sumerian clay tablets were able 

to find that there were references to ten pre or anti-diluvian kings 

what does uh pre deluvian mean before the flood right so they had this belief 

that there were ten kings raining before the flood and you'll notice the numbers that they ascribed 

to each of the kings the rain uh those numbers now should all be becoming familiar to you you've 

seen a bunch of them already there's forty three thousand two hundred sixty four eight hundred 

thirty six you'll notice sixty four thousand eight hundred is uh presented twice actually three 

times the total low forty four hundred and thirty two thousand years um that's a long span of time 

do you think they meant this literally or is this strictly symbolic and figurative is it possible 

that the king could have reigned for 36 000 years i tend to think it was symbolical but you know it 

is interesting that one of the again one of the universal traditions from ancient cultures is that 

before the flood in all the cultures from all over the world recognized that there was a great flood 

or even floods that decimated humanity at various times but they're all pretty much in agreement 

that prior to the flood the human lifespan was much longer than it is today which i find we've 

all heard about methuselah living to be 969 years right or lamech being 777. it seems that they had 

in the biblical ages they seem to have lived about an order of magnitude greater than our modern ages 

which considering you know from my perspective the things i'd like to get done in this 

lifetime i would need at least that many years in the value piranha which is again one of 

the vedas we find verses like this 360 years according to the human calculation constitute 

one divine year wise people know that there are four yugas in bharata varsa the first 

one is krata then follow trata devapara and kali probably some of you have heard of the 

kali yuga that we're supposedly in right now and suppose the age of darkness 

and the age of ignorance but you'll notice that they they reckon 

time they have a they have another the vedas recognizes a sacred year that they call 

or a divine year which is 360 of our years okay now here's a tabulation of the vedic ages 

and you'll notice we'll look first at the total in human years and we see that the 

kali yuga the shortest is 432 thousand then we go to 864 thousand one million two hundred 

ninety six thousand one million seven hundred twenty eight and four million three hundred 

and twenty thousand you'll notice that the total or the maha yuga the great yuga is 

ten times the length of the kali yuga and uh that's because you'll notice that that 

the drapara is twice the trade is three times and the sake is four times so taking the 

original term doubling it then tripling it then quadrupling it adding those together will give 

us 10 times the number we started with but again notice the number that the vedic ages 

begins with 432 000 is the same number that the sumerian king list ends with so it's 

almost as if we have two different traditions but one system and we see that the sumerians preserve 

knowledge about the the um subdivisions of this yuga time of 432 thousand years and symbolize 

these subdivisions by the reigns of these these 10 uh prediluvian kings and then we can see that once 

we get to 432 000 years at that point the vedic cycles kick in and then we have these that follow 

and using the divine year of 360 years yields these this column of numbers and then when we put 

the duration into human years it's interesting each each of the yugas such as the kali yuga 

they were all believed to have a a period of transition into the age then the age itself 

and then a period of transition out of the age and so basically what they did was they took the 

the total age you'll notice here the relationship between the kali yugas the 360 thousand and 

the sanja which was the transition in the sun yamsa which was the transition out are each 

one tenth of that adding up to the total of 432 but you'll notice that we we're we've got the same 

recurring numbers again now there's 144 000 right there and then we have that raised by another 

order of magnitude so you see how these same numbers are recurring over and over again uh and i 

would suggest that there's a pattern emerging here and i know that for a lot of people first time 

they are confronted with this kind of information sometimes it's almost too mind-boggling you're 

going what the heck is all these numbers mean uh you know it's just too many numbers to 

sort out but what you realize once you start studying them is that each one of them is 

kind of a mnemonic because each number has a whole collection of phenomena that's associated 

with it and it's still in use today i mean how many people i mean everybody should know that 

you know a square foot is 144 square inches i mean anybody who's a builder a craftsperson an 

artist should know basic rules of measurement the mayan world ages now you notice there 

do we see similar numbers the buck tune 144 000 days so it's almost like they took the 

same they had the same numbers but they're now representing smaller cycles but it's the same 

numbers representing the cyclical periods within nature a tune is 360 days and that was the 

typical that was the sacred calendar that we find all over the ancient world and then they had 

the five days added to that the five unlucky days so again we see the same numbers being repeated 

redundantly throughout these various traditions sacred numbers embedded in solar 

system architecture i'm only going to show you a few examples of this to 

convey to you the idea the solar orb well if we measure that we discover its radius is 432 000 miles which of course 

means that its diameter is 864 000 miles so notice that we measured the sun according 

to the human measure of miles and by the way um what is the origin of the the mile unit 

that we use anybody know origin of the mile origin of the mile it comes from the 

latin word mill which means a thousand so it's talking about a thousand something 

what would it be talking about a thousand what a thousand paces that average 5.28 feet in length 

it actually goes back we know that romans were using a mile there were a thousand paces and they 

would lay out rome for example had a city center and everything was measured outwards from that 

city center according to paces and those paces were um a thousand of them gave the roman 

mile the roman pace was a little bit shorter than the british pace which is where we get our 

mile from our mile in fact interestingly and i'm going to show you a diagram of this shortly 

uh stonehenge is 105 the the outer ring of the sarsonstone circle measures right at about 105.6 

feet which makes its one-fifth of a mile or one 150th of a mile i'm sorry that and several other 

numbers that we find in megalithic structures in ancient england suggest that the mile was actually 

a unit of measure that was being used as long ago as four thousand years or longer and we're still 

using it today the same unit of measure that could have been used 4 000 years ago and for that 

reason um you know i there and once you begin to get into and understand um the sacred basis of 

our ancient meteorological or measuring systems you'll realize that if we convert completely over 

to the metric system we're going to lose something very very profound all right remember what was 

the length of the kali yuga 432 000 years what was the length of the dopara yuga 864 000 years 

what was the length of a platonic month 1 12th of the great year anybody remember 2160 years right 

the same number of degrees that measure the cube all right what are we looking at here 

anybody recognize that look familiar the moon has a radius of 1080 miles which gives 

it a diameter of 2160. remember i said that 1080 or 108 and it's double 2160 was a lunar 

number see this is a clue to you now there are several references for example um in the sumerian 

tradition describing the ark built by zizithrus which is being described as a cube that makes no 

sense you think what kind of a ship is it that would be described as a cube you know it wouldn't 

be very seaworthy a cube right but it's not referring to an actual ship as we think of it it's 

referring to the cubing of the sphere and in this case the sphere that it's referring to is the moon 

which was symbolically considered to be an arc to many of the ancient cultures that believed 

that the earth was periodically destroyed by great catastrophes so we have the number 1080 and we 

have the number 2160. and then we have the earth you know that's the earth and again because 

of the spinning of the earth on its axis we have this difference between the polar diameter 

78.99 or just thinking round number 7900 miles and the equatorial diameter 7926 so that 

creates a 26 mile difference and thank thank you for that 26 mile difference because 

life on earth would be a very chaotic affair without that bulge we see that the diameter of 

a sphere with the same surface area as earth is 7920 miles and also the diameter of the earth 

when you take it from if you slice it through the tropic of cancer through to the tropic of 

capricorn that diameter also is about 7 920 so we use 7920 as the sacred number 

to represent the earth because even though the earth varies considerably 

between equatorial and polar diameters we find that at a very significant piercing 

through of the earth's diameter from one tropic to the other tropic turns out to be 7900 miles 

we also find that if we take a perfect sphere that has a the same area the same 

surface area as the earth actually has its diameter would be 7920 miles so 

that's the number we use for the earth which means that its radius is half 

that or 3960. and in most books you read astronomy and so forth when 

they're talking in round numbers about the radius of the diameter of the earth 

these are the numbers they use 79 20 and and 39.60 okay now what i've got here is 

evidence for advanced geodetic knowledge in archaic times what is geo what is geodesy or 

geodetic knowledge geodesy is the determination of the size and the shape of the earth early 

in the 19th century such knowledge was acquired by extensive land surveying and triangulating 

over large tracts of the earth's surface since the 1970s orbital satellites have provided the 

most accurate picture of the earth's exact size and mass distribution any advanced comprehension 

of the larger picture of our planet as a suitable abode for the evolution of higher life requires 

knowledge of its size and shape the total mass of course determines g the gravitational constant 

the equatorial bulge is an integral component of the forces acting to impose rotation and orbital 

stability on earth as it wheels about the sun the relevance of these two basic factors to 

the evolution of life cannot be underestimated ancient master builders understood earth's 

fundamental geodetic parameters on a level not equaled until the advent of modern satellite 

surveys how do we know that well probably the most salient means we have of knowing that is the 

great pyramid of chiops itself and there's been lots and lots of speculation about what the form 

or what the function of the great pyramid was some of it to me is is pretty pretty out there some 

of it i think is pretty abstract and speculative what i've always thought does make the most 

sense and has the greatest credibility is the pyramid is essentially a model of the earth the 

northern hemisphere and i'll show you how here the thing you have to understand when you're 

looking at the measurement of the earth in terms of its size and shape is that we have lines 

everybody knows latitude and longitude latitude is measured north and south of the equator 

longitude is the measure around this way parallels are lines that run 

hor the parallel to the equator and traveling along one of the parallels we 

would be displacing ourselves longitudinally but parallels actually measure you can see the 

this parallel here this is probably the arctic circle it looks to me like about 66 and a half 

degrees north so it is parallel to the equator right so depending on what parallel you are 

every line of latitude north and south has a corresponding parallel and you know that from 

the equator to the north pole is going to be 90 degrees and likewise from the equator to the south 

pole is going to be 90 degrees of arc then in turn we have meridian lines which are lines that run 

north south but actually measured distances east and west so that if you travel from one meridian 

to the next to another meridian you would have traveled from east to west every point on the 

surface of the earth has a local meridian we have a local meridian here and it's basically the 

way you would find it is if you walked out here i believe this is generally south isn't it this way 

so if we went out here and we looked exactly south and exactly north and then the zenith overhead 

the point 90 degrees up from a flat horizon and we struck an arc from the south point through 

the zenith point to the north pole that arc would be our local meridian and as the earth turns under 

that local meridian we measure all astronomical motion relative to our point on the surface of 

the earth with respect to that local meridian now you'll notice that as you go through the parallels 

the parallels form virtually perfect circles the meridian lines on the other hand are 

not circles because of the flattening of the earth because of the expansion of the 

equator if you draw a line around it this way this way and cut the earth this way it is not 

going to be a circle if you cut it this way it will be a circle okay that creates very subtle 

differences in geometry when you're measuring a meridian line north to south what happens is 

that as you travel north away from the equator if you were going on a perfect sphere then 

each degree of latitude north would have the same distance but it's not a perfect sphere it's 

flattened so as you're moving towards the north pole the earth is actually flattening out the 

earth's radius is shrinking so it's flattening out what that means is that to to traverse a 

degree of arc you have to travel further as you get away from the equator towards the north 

pole okay i'm i'm explaining this because you've got to understand this to see how the ancients 

actually understood how they demonstrated to us that they understood the size and shape of 

the earth with a high degree of accuracy so again parallels are going to be in circles and 

you're going to notice that the biggest circle is going to be the equatorial circle and as you 

travel towards the the poles those circles get smaller in size so therefore if you took the 

meridian lines which would be the dotted lines the distance between say one degree of meridians 

at the equator is going to be greater than that distance between the same two meridians say at our 

latitude here in atlanta which is about 34 degrees north or further north as you travel further north 

those meridian lines converge until you get to the north pole and then they they meet each other and 

have zero distance between them okay this is taken out of the smithsonian meteorological tables and 

what we're looking at here without belaboring this is you'll notice latitude 0 degrees and you go 

through up to 90 degrees and what this is showing is if we look in the statute miles right there 

this says length of one degree of the meridian so this is the line from equator up to the north 

pole well if you look at the first number which let's see if we can zoom in a little here 

you'll notice that at zero when you travel leave the equator and go to the first degree 

north latitude you've gone 68.703 miles but if you look down here at the very last one 

when you traverse that last degree from 89 and you finally get to the north pole you've traveled 69.4 

miles so those degrees have stretched out okay now this is important to understand how 

the ancients were able to demonstrate to future generations that they understood 

the size and the shape of the earth and then we have one length of one degree of the 

parallel if you notice right there i don't know if you can read it from out there but that says 

69.172 miles so think of a circle going around the earth's equator you've traveled one degree one 360 

of that distance around you've gone 69.172 miles let's go halfway up from equator to north pole 

which would be 45 degrees and you see right there you've gone 49 miles then when you get up 

to the pole itself when you're one degree away from the north pole you only have to go 1.2 

miles because those meridian lines have converged so now the thing to grasp here is that if we're 

measuring the size and the shape of the earth that's going to vary depending on where on 

the earth we're making those measurements this is important because what we 

discover is that the ancient peoples knew this and incorporated into their architecture 

so that they would derive units of measurement that were ultimately based upon the size and 

shape of the earth where the structure was being built now let's take the most prominent 

one before we get to that this is geodetic data and you'll notice here we've got going back 

to 1830 which was the first attempt in modern times to determine the size and shape of the 

earth and let's go since that's meters let's go to something we'll recognize miles 

we're talking about the radius here and you'll notice as you're coming down through 

here we get to these last two world grid system 72 and geodetic reference system 80 are the two 

that were determined by satellite measurements and you'll notice that as we come through 

here we've got a polar radius in miles and n equatorial radius in miles and then we have 

the difference in the two radii right here and we assume that as we've come through 

we're progressively getting better and better at measuring the size and shape of the 

earth and finally with satellite measurements we're getting down here and we've determined 

that the polar radius for example 3949.8934 3949.8948 what does that 

translate into well let's see in terms of feet that's a difference 

of uh oh 250 feet roughly between um yeah between these two measurements in 

other words between the first satellite measurement and 72 in the second one in in 

1980 the difference was about 250 feet safe the history of man may be far longer and stranger 

than we think the great pyramid may indeed not fit in with what we believe about the past and 

the nature of the world thousands of years ago someone measured the earth with remarkable 

accuracy and recorded this information in the dimensions of the largest and possibly the 

oldest stone building on the planet william r fix generally the age of the pyramid 

is given around 4 200 years it's roughly about the same age as the sphinx some of you are probably familiar with the however 

the re-dating of the sphinx by several geologists primarily robert shock from boston university 

who has studied the weathering of the limestone composing the sphinx and the surrounding quarry 

that the sphinx is situated in and has determined that the uh that the rock has been severely 

weathered by water erosion and of course this giza plateau has been desert for the last 4 000 years 

so it's not likely you're going to find severe water erosion on the sphinx if it's only 4 000 

years old in fact so severe is the water erosion that it's likely that the sphinx is probably tens 

of thousands of years old however robert shock in most of his public presentations 

usually places it at seven to nine thousand years but he's totally personally he 

just uses that because he's deliberately being very conservative because he's in the academic 

community but he's perfectly willing to believe that it is could be much older than that and i've 

discussed the the extent of the water erosion with him and discovered that he actually hasn't 

looked uh in depth at the uh comparable studies of rates of limestone weathering which i 

spent a couple of months about 10 years ago studying going around the various places 

where there were limestones and where you could see examples of limestone that 

had been weathered and had looked at um read the literature that had been done on 

limestone weathering it had concluded that you know would be a minimum of 20 000 years worth 

of weathering and that's a minimum if you took the sphinx and set it in a climate with rainfall like 

say we've been having for the last three months which would average out to about 45 inches a 

year even with rainfall like we've been seeing here in atlanta in the last three months it would 

take the sphinx a minimum of 20 to 30 000 years to get the level of erosion that raises the question 

regarding the great pyramid could it be as old and i see no reason why not problem here though is 

you know that the great pyramid was once covered in white limestone casing stones highly polished 

and according to arabic traditions pretty much all the arabic traditions and legends about the great 

pyramid concur that the outside of the pyramid prior to the stripping of the casing stones 

was covered completely covered in hieroglyphs and one it just boggles one's mind to contemplate 

what might have been written here but clearly i have a hard time imagining a greater act of 

vandalism in all of history than the stripping of those stones in fact there had been efforts 

to get into the pyramid up until the time of alma moon which was i think around 1200 a.d 

but they were completely ineffectual and then somewhere around the 12th century i forgot 

the exact year there was a great earthquake in northern egypt and it caused most 

of the buildings in cairo to collapse and it also loosened some of the casing stones on 

the pyramid which allowed them to get in and pry those stones loose from the top and all of the 

stones were then stripped off and that high indirect high quality limestone was stripped off 

and recarved and used in buildings to rebuild cairo so i've often thought there's probably 

temples somewhere in cairo where maybe some of those original stones are still to be 

found with inscriptions intact of course i have no idea but i oftentimes thought wouldn't that 

be cool anyways they stripped off the stones and as they stripped them off there 

was a lot of rubble that fell down and buried the bottom of the pyramid which 

turned out to be a good thing because it buried the bottom casing stones from those bottom and 

preserved and so from those you know the various researchers could determine what the original 

exact angle of the pyramid was and according to most calculations it was around 51 degrees 51 

minutes 14 seconds i don't know if that level of accuracy is is credible or not but 51 minutes 

51 degrees 51 minutes would be and from there we can then determine what the geometry of the 

pyramid would have been and what its original height would have been simply by taking the 

tangent of of that angle 51 degrees 51 minutes and knowing the base length one could calculate 

what the original height would have been to a high degree of accuracy so that's been done by 

oh four or five different people over the years j.h cole in 1925 did what's considered to be 

the definitive survey of the great pyramid he was a professional survey who did a very 

meticulous survey after they had just cleared away all of the rubble and he had access to 

it he did it under contract to the to the government of egypt the numbers that i'm about to 

show you here are mostly derived from his survey so what we have here is here's some of the 

original casing stones and they sit on a what's called a sockle which is this base which 

was measured to be 55 centimeters in thickness and of course you got to bear in mind that 

this original slope casing stone there was not it wasn't stepped like that originally it was 

a smooth profile and let me okay so here you have course here you see that the casing stones were 

damaged by the rubble falling down but enough of them were still intact that one could make this 

accurate determination of the original angle here's the sockle which is 55 centimeters thick 

and it sits directly on bedrock so it actually what it does is it creates two ways that one 

could measure the height of the pyramid either with or without the sockle there's also two ways 

of measuring the base this is a reconstruction from a 1991 work on uh pharonic stone masonry 

and this shows that outside the corners which was the the core masonry there are these 

sockets and i found one picture showing a socket this is showing one of the sockets that's 

still there that sits outside the core masonry but based on those sockets they were able to 

reconstruct what the original base of the pyramid would have looked like so here would have been the 

51 degrees 51 minutes coming down sitting on the 55 centimeter thick sockle here like this well 

what this did was it gave two ways of measuring the perimeter of the pyramid's base one 

could be measured from this point up on top of the circle the other could be measured 

from down here that included the saw so what you ended up with was two ways of measuring the 

pyramid's base well which one was the correct one well they were both correct i think that they were 

actually intending to embody in there that there were two ways of measuring uh the pyramids base 

so what we have is the length of the base on the sockle which is the shorter of the two up there 

it was varied from side to side you'll notice 755 at the smallest to 756 just over at the largest 

so there was some variation there was probably a reason for that variation actually but we won't 

get into that because it just gets too technical for what we're talking about today but the total 

of those measured around the four sides would be 3023.139 feet if you're taking notes 

that'd be a good number to write down okay so now let's see what the measure is 

around that includes the cycle or the base and we see that it's each side is a roughly five 

feet longer 760 to 761 each side again is a little different but we get a total of 3043.43 feet okay 

so i'm going to over here i'm going to write down a few numbers that we saw through our radius of 

the moon diameter of the moon radius of the sun diameter of the sun number of seconds in a day would be 432 000 43 

200 uh number of seconds and a half a day number of seconds in a full day 86 400 what were some of 

our more other numbers oh yeah 14 40 was 1 79 20 diameter of the earth just so they're up 

there in front of you we can refer to them as we go on here all right so here is 

profile the great pyramid with a 51 degree 51 minute angle i've just to make it easy i've 

just rounded off the numbers 481 feet in height that would be not including 

the the sockle the base 755.85 i just picked one to use and there's our 51 degree 51 minute angle 

and we find that when we measure measure it this way it turns out to be almost exactly 11 

over 7. there's some other interesting geometry going on related to the golden section 

which i don't intend to get into today because it makes more sense if you're actually 

studying sacred geometry and you're familiar and you've made these drawings because in a sacred 

geometry class just like in the old pythagorean platonic lodges we draw we draw we draw and 

then we eventually build models and that's the way to really get familiar with this and 

get these numbers as part of your consciousness so i'm not going to get into the 

connection with the golden section today when we measure including the cycle this becomes 

our height 482.7575 feet and the base 760.9 feet okay those are the numbers we're 

going to look at for a second here now if we look at these these are various 

estimates we're we're looking at this one right here the coal height estimate 

plus the cycle at 21.6 inches gives a total of the height above bedrock of 

482.757 feet so now we're going to go back to the earth so we can see how these 

numbers link the two we take one square degree of latitude and longitude at the equator pretend 

we're standing at the equator okay we know that the polar radius now is 13 miles less than 

the equatorial radius so what that means is that the circle this way is shorter than the circle 

the biggest circle that defines the earth is the equatorial circle so a degree of measure 

on the equator is going to be the biggest the longest of any degree we measure anywhere 

on the earth the equator okay the north-south is going to be a little bit shorter and you'll notice 

right there we've got 68.7 miles north to south and 69.17 east to west so it's not a perfectly 

square unit is it it's a little bit distorted well that distortion is totally 

significant because it's that distortion that is a measure of the earth's 

departure from being a perfect sphere and it's that departure of a perfect sphere that 

is very significant to us because without that again earth's orbital stability wouldn't be would 

be non-existent okay so we're going to divide this up a little bit if we take this square degree 

of of latitude north to south longitude east to west and we look very carefully down in the 

lower right hand corner you're going to see something a little square you see that little 

square that represents one minute one sixtieth of the degree this way 1 60 of the degree this way 

so that's one minute of latitude and longitude all right we're going to take a closer look 

at that and we will see that one minute then is 6045.881 north to south 6087 east to west 

which is what we expect the east west should be a little bit longer and that's one square minute 

of latitude and longitude okay now we're going to divide each of those lengths into two we're going 

to divide our square minute into 1 4 sections and here's what i want you to notice when we do 

that we take one-fourth of a square minute of latitude and longitude look at our dimension east 

to west and look at our dimension north to south and look at these two numbers in fact here's here's an accurate calculation 

we take the 482.755 feet which is the height and what we discover is that if we multiply that 

by the number 4 43 200 which is one of our sacred numbers that we've seen right there forty three 

thousand two hundred it shows up in the vedas in the sumerian king lists etc etc if we multiply 

the height of the pyramid by that number this is what we come out with 3949.83 miles and notice 

the difference between the pyramid which i call the standard polar radius and world grid system 72 

is only 313 feet over the entire size of the earth so we have essentially the pyramid being a scale 

model of the earth the northern hemisphere at a scale of 43 200 to 1. if we take the pyramid 

enlarge it by 43 200 its height including the sockle now becomes the polar radius of the 

earth within 300 feet of our satellite surveys then the two measures of the base are exactly the 

difference between the east-west difference and the north-south difference at a square minute at 

the equator now the skeptic and the reductionist would dismiss this and say ah it's just a 

coincidence you're just playing with numbers and i would say okay you know you can believe 

what you want but it's there the numbers are there you can take the surveys of egypt by coal 

you can take the geodetic surveys i didn't make those numbers up or i didn't fudge them and what 

you discover is that when you expand it by 43 200 which you know if if the number was just some 

arbitrary number but it turns out that the the uh factor of expansion turns out to be one of the 

critical sacred numbers within the ancient systems and so here we have the pyramid now enlarged 

by 43 200 times and another way to think of it is if we go back to this diagram right 

here you'll see that as the earth turns every half second it's going to turn this far 

so it means that every two seconds the earth if you're standing on the equator in two seconds the 

earth has turned 143 200 part of its total orbit so if you're standing on the equator in 

two seconds precisely the earth has turned into a distance exactly equal to the distance 

around the great the base of the great pyramid now you can dismiss that as being 

coincidence but the numbers don't lie they're there and so when william r fix was saying 

that someone somewhere thousands of years ago was able to measure the earth with great precision 

and i haven't of course elaborated upon all the details of this i just i'm trying to give you 

the overall picture of how it might have worked referring back to our geodetic data if we look 

at the various ellipsoids that give the polar radius and then we take each of those polar radii 

going from all of these ellipsoids down the clark ellipsoid has been the one of 1880 has been 

the one used in in the united states for all non-military and non-nasa related measurements 

we still use on the day-to-day basis if you if you take a topographic map you know and you're 

going out like a 7.5 quadrangle and you're going out navigating with a topographic map put out 

by the u.s geological survey they're using the clark ellipsoid right there but you'll notice that 

when we take these various polar radii lengths in uh feet and divide them by 43 200. you can see the 

numbers we get right here remember the height of the pyramid is estimated at 482.7575 so looking 

at this what you'd see on here which one would be the closest well you notice it's come out 

very very close to the to the satellite surveys given that it's very pop and see when 

you have you've got to ask yourself well why is there a difference between this the 

satellite survey of 72 and the satellite survey of 80. well if we did another one again with as high 

a degree of accuracy we would discover there's still going to be a discrepancy and the reason is 

is that the earth spinning through space there are various tidal forces working on the earth which 

are constantly causing it to distort its shape by up to two or three or four or five hundred feet 

so we never would be able to get more accurate than three or four hundred feet because the earth 

itself is changing shape and if we were to measure it every year for the next 10 years we would get 

10 different numbers they'd all be very close but they would deviate somewhat because the earth 

itself there are tidal bulges you know where's the moon relative to the earth that's going to affect 

if the moon and the sun are on the same side of the earth that will affect the shape of the earth 

up to being several hundred feet measured over the diameter diameter of the earth and so it is not a 

miss to say that the pyramid enshrines a measure of the earth that could be considered as accurate 

as those determined by modern satellite surveys that to me is a very profound insight 

because it does suggest that somebody once upon a time was able to measure the earth 

size and shape with that level of precision and if they were able to do that what's the implication 

of that see that's that's the interesting part because no primitive culture using the method 

of eratosthenes in about 300 bc in greece he measured the earth and was generally 

considered to be quite accurate because he was able to get the circumference of 

the earth within about 500 miles of its actual measured circumference by using the 

methods available to the ancient greeks you see and he was considered to be the first 

to measure by by basically putting a stick in the ground and measuring the angle of the shadow 

uh on the longest day of the year over a couple of successive years that's actually an exercise 

we do in the sacred geometry class because it's very interesting how he did that but he was 

considered to be you know pretty proficient because he was able to determine that the 

uh size of the earth was the circumference of the earth was you know 25 000 miles when 

it's generally considered to be about 24 800 depending on where you measure so he was you know 

maybe with maybe within 50 miles of the actual dimension of the earth but nowhere near as close 

as the pyramid would have been so again if the even if the pyramid was built four thousand two 

hundred years ago you know you gotta say who four thousand two hundred years ago had the technology 

to measure the earth with that degree of accuracy now that we know of nobody 4 200 years ago did 

or how they would have done it we don't know but on the other hand if it turns out that 

the pyramid could be much older it leads us back to the you know going back 10 000 or 20 

000 years this to me is one of those little um oh sort of like the the little crack in the 

dike that if you don't keep it plugged the whole edifice of contemporary knowledge could get 

swept away because we can't acknowledge that somebody 10 000 or 20 000 years ago was 

scientifically sophisticated that was the days of cro-magnon man and alley-oop 

living in the cave and so forth cavemen which is a silly idea actually yes 

i'm sure people did take refuge in caves when uh things got really crazy out here 

yes i think people did take refuge in caves but see this is one of those things again that 

if you accept that it's not just a coincidence it opens up a whole can of worms that mainstream 

science generally doesn't want to address because we're the epitome of scientific evolution 

right here and now right nobody before we built satellites could have measured the earth to within 

a couple of hundred feet of its actual dimensions so given two seconds of time one forty three 

thousand two hundredth part of the daily rotation a point on the equator will travel a distance 

precisely equal to the perimeter of the great pyramids base as measured with the sockle in one 

half second of time a point on the equator will rotate a distance equal to one side of the base of 

the great pyramid pyramid measured with the cycle so here you have a time and 

space measure integrated into one the time measure comes in because it's 

the span of time that the earth has moved in two seconds the earth has turned and moved a distance within a fraction of an inch being 

the distance around the base of the great pyramid and so the height of the great pure measured 

pyramid measured with the socket was 143 200 part of the earth's polar radius so therefore 

the great pyramid is a model of one hemisphere of the earth at a scale of one to forty three 

thousand two hundred so if we took the great pyramid and we created the duplicate and turned it 

upside down and put the two together base to base that would now give us the polar diameter one more 

example the parthenon to show that this geodetic knowledge was still extant down to the time of 

the building of the parthenon about 2400 years ago this is the east facade we've all familiar with 

the parthenon it's almost as well known as the great pyramid well if we measure its base in the 

manner that i'm showing here it's 100 greek feet so how long was a greek foot a little bit 

longer than our modern foot of 12 inches before we do that let's look at the dimensions 

of the parthenon based upon our american feet that we use the east facade is 101.2957 dot 

dot dot feet so if we divide that by a hundred we get the length of the greek foot which 

would have been 1.0129 etc of our american which are actually the in british feat okay i 

better write that down so we don't forget it that's good enough right there there's the width 

of the parthenon measured in our american feet and uh also notice the latitude of athens where 

the period where the parthenon is located is 37 degrees 58 minutes north and i'm going to write 

that down 37 degrees 58 minutes so it's almost almost 38 degrees north and here we have 

based upon numerical and proportional relationships augmented by extensive analysis 

of ancient structures artifacts and texts sticcini who was considered one of the preeminent 

meteorologists of the 20th century he determined various lengths of the foot he came 

up with the greek foot of 1.0114064 now notice here we've got the width of the east 

facade of the parthenon divided by a hundred gives a greek foot of 1.1 1.0129 for a difference 

of point zero eighteen inch in excess of the length of the greek foot is calculated by stichini 

it is acknowledged by architectural historians that the parthenon was originally built to be 100 

greek feet in width this would have made it equal to 101.14 english feet when built now if we go 

back to the length of one degree of the meridian and we look right here at the latitude of 

athens we find something very interesting length of one degree of the meridian at the 

latitude of athens is 68.962 miles or 364 121.647 feet so if we take that number and divide it by 60 

gives us the length of one minute of meridian arc then we divide that meridian arc by 60 it gives 

us one second of meridian arc and notice what one second of meridian arc is 101.1449 feet so 

one second of meridian arc at 38 degrees north latitude given the international ellipsoid and the 

clark ellipsoid you'll know here that it's exact so in other words what we have there the total 

difference in length of one second of meridian arc at 38 degrees north latitude and the 

east facade of the parthenon is .05 inch but again that's for 38 north latitude and it's 

actually at 37.58 so if we make that adjustment of two minutes of arc south this point zero five 

pretty much just disappears into nothing so what we have is the parthenon again maybe coincidence 

but here we have the parthenon being precisely one second of arc of the earth's circumference at that 

latitude that it's placed now again that implies somebody was able to measure the earth with 

incredible precision if this isn't a coincidence and i think the burden of proof would be on 

the person who tries to dismiss this as being coincidental because the two examples i've shown 

you here could be multiplied many times over we haven't even talked about the gothic cathedrals 

the fact that every gothic cathedral was built with its own cubit and that cubit is based upon a 

multiple or a subdivision of the meridian length at the latitude that the cathedral was built so 

you could take many examples of this and what i'm suggesting here is not necessarily that the 

gothic cathedral builders of 800 years ago were able to measure the earth with that accuracy but 

then again it does seem to imply that somebody was that somebody was able to measure the earth that 

maybe there has been a tradition going back to who knows when from the building of the pyramids 

coming down through the age of the greeks right down to the building of the gothic european 

gothic cathedrals 800 years ago a tradition of very sophisticated geodetic knowledge well 

again this this opens up a huge can of worms about when people were supposed to what they knew 

and when they were supposed to have learned it so there's another dimension to this 

as well and this is i'm only going to show you a few examples out of hundreds of 

possible examples i could be showing you ancient writings semitic writings for these 

and i'm coming with two examples here the hebrew ancient writings which would be kabbalistic 

writings uh the the hebrew old testament the torah the midrash all of those and then the greek 

alphabet the new testament was written in greek all of the pythagorean neo-pythagorean literature 

written into greek was it turns out both of those languages this was prior to the advent of 

the hindu arabic numeral system the hindu arabic numeral system is when we came up with 

what we now have is we have our alphabet and we have our set of numbers and there are two 

different things right we use our alphabet for the spoken language in written language and 

we use numbers for calculating in mathematics but they're different you know we don't but prior 

to the advent of the hindu arabic numeral system in the semitic languages the same symbols that 

were letters were also numbers and the key was what you see right here called the denery 

system so aleph was one bet was two gimmel was three dalet was four hey was five wow was 

six zion seven and so on down to ray sheen and tao 200 300 and 400 yid which was considered the 

seed of the hebrew alphabet had the value of tan okay so units tens and hundreds then there 

was a symbolic component to each of the for example aleph originally was the word for an ox 

and uh bait was originally the word for house gimmo originally the word for camel and so on then 

we get to the greek system and it's also daenerys system units tens and hundreds so alpha beta 

gamma delta epsilon di gamma zeta eta theta etc one through nine then yota kappa lambda mu news 

i omicron pi copper 10 through 90 and so on row through sampi wasn't actually a written letter it 

was just simply included to get the value of 900. okay so we have the same system units 

tens and hundreds so how is this employed well here's an example here's a lethal 

which was the greek word for truth and if you add up the eta the alpha the lambda 

the eta theta epsilon iota and alpha based on the values that i just showed you the 

total value is 72 and that's one of our key sacred numbers because most of the numbers that 

i showed you here are multiples of 72 36 or 72. catabola which means conception the first 

moment of creation kappa alpha tau alpha beta omicron lambda ada take the values again 

directly from the historically authenticated table that i showed you and they add up to 432 

so there you see these numbers showing up here yerushalayim or jerusalem iota epsilon rho 

omicron upsilon this would be the greek spelling in the new testament sigma alpha lambda eta and mu 

there's the values of the individual letters iota which was tan epsilon 5 etc and 

when you add those up you get 864. again do we find that number on our list yes we do 

these numbers again are showing up with redundancy the temple of immortality honeos uh let's 

see i forgot how to pronounce that uh athanasius or naos athanasius that's it the temple of immortality 

so if we take that spelling add it up it also is 864 and i'll work on my pronunciations for next 

time ah the holy ghost tawaghian numa numa like root of our words like 

pneumatic means the holy ghost or the holy spirit add up those the 

value of those and you get 1080. the fountain of wisdom pegasuphias also adds 

to 1080. so these are just a few examples of then i heard another great voice from heaven 

saying come out my people out of her lest you take part in her sins lest you share in her 

plagues a phrase from the book of revelations and 1296 which is half of the great year 

cycle so i mean these again these these examples can be multiplied by hundreds literally 

by hundreds and this is actually a one of the sub subdivisions of the study of kabbalah which 

is the the gamatria the study of the numerical or mathematical basis of language and what you 

discover when you go into the mathematical basis of languages the whole thing is constructed 

upon the same architecture of sacred numbers that we've been looking at here for the last hour probably of all familiar with things like here 

is wisdom let him that hath understanding count the number of the beast where is the number of a 

man 603 score and six you ever heard that probably the most famous and controversial number out of 

the bible 666 well if you want to understand what that is actually referring to you have to peel 

back the outer literal representation of these tails and look at the underlying mathematical 

architecture because that's where it's concealed and it actually turns out that the orbit orbital 

velocity of the earth around the sun is 66 600 miles per hour exactly and that's one of the first 

astronomical connections and then there's many many more connections with that number that we 

find occurring in sacred geometry so all of this there's a lot of silliness and accretion stuff 

that's accreted to that the belief in that number by basically fundamentalists and superstitious 

people who don't look at the underlying science but we will take a couple of minutes 

here and look at a few things i lifted up this is from the old testament 

zechariah i lifted up mine eyes again and looked and behold a man with a measuring line in his hand 

then said i withered goes thou and he said unto me to measure jerusalem to see what is the 

breath thereof and what is the length thereof old testament prophet zechariah so here was the 

beginning of his of his prophetic experience his prophetic vision as he sees this man who's got 

a measuring line in his hand and he says he's going to go measure the holy city and when he 

does see then what's the revelation it follows the revelation is the sacred geometry that 

that composes the the that is the basis of the architecture of the holy city so the whole 

revelation is really it's a geometric revelation uh again from the book of revelations and 

i looked and lo a lamb stood on the mount of zion which to anybody whose verse knows that 

that's a reference to the sign of ares the lamb and with him a hundred and forty and four 

thousand which is this number right here having his father's name written in their 

foreheads what does that mean well it means that somebody who studies sacred 

geometry eventually you've got these numbers as such an integral part of your consciousness 

in your forehead in your in your frontal lobe your your waking consciousness that these numbers 

literally become a part of the way you experience reality and experience the world because the 

numbers are all around us in the world it gives a shape to the world it defines the periods 

of time that governs the cycles of our life and i heard a voice from heaven as the voice of 

many waters and as the voice of a great thunder and i heard the voice of harpers harping with 

their harps and they sung as it were a new song before the throne and before the four beasts 

what are the four beasts the bull the lion the eagle and the man divides the cosmic wheel into 

periods of six thousand four hundred and eighty years which i sure certainly should add because 

that's an important number so there's a veiled reference to that cycle of time six thousand 

four hundred and eighty and no man could learn that song but the hundred and forty and four 

thousand which were redeemed from the earth now when you get into kabbalistic studies you can you 

can go to the english translations to kind of be to lead you into the outer portals but if 

you want to get into the inner teaching you've got to go beyond that you've got 

to go back to the original languages and i'm not going to get too much into that but the 

word redeemed is actually a very interesting word it's talking about the redeemed of the earth 144 

thousand we discovered that the word was agarazzo from agora and it means to go to market so 

basically what it's saying is that those who achieve salvation at the at the day of 

judgment are those who go out and go shopping what well didn't that and that what george bush 

told us to do after the yeah see so george bush he had his thumb on the pulse of but actually see why does it what's the 

connection with going to market well as a place probably the town square that should be the first 

clue the square see there's your geometry uh as a place of public resort by implication a 

market of thoroughfare so the idea first is the idea of a square because the marketplace 

would be built around a square a literal square so it it became associated with the idea 

of people gathering within this square see uh it's uh comes from well agarazzo comes from 

uh yeah see here so to uh go to market by implication to purchase especially to redeem 

to redeem and it comes from this route agora which is related to this aguero the idea of 

collecting one's faculties this is the idea of collecting within the square again right well this 

thinking now about metaphorically collecting one's faculties but also to awaken or to rouse literally 

from sleep from sitting or lying from disease or death or figuratively from obscurity or rune it 

means to awake to lift up to raise up to rear up so see all of these ideas are what you're led to 

once you start going into the original kabbalistic meanings of the language so what starts out like 

go shopping go to the market means going to the town square it means the gathering within this 

square so here's the link with your geometry but then one of the words that we we look at when 

we study the the kabbalistic study of words is we look at the original roots but then we act we look 

at how did they bifurcate and how did they lead because you can follow the evolutionary paths of 

language to get back to what some of the original meanings actually were to try to get to what 

the authors of these sacred writings were really trying to get to because you've got to remember 

that all of these sacred writings have gone through multiple layers of translation by people 

who may or may not have understood the original doctrines that were concealed in there 

symbolically and mathematically also from the book of rev oh the reference to the new song is very 

interesting because uh and and i would defer later to jeremy on this who's been studying the sacred 

geometry of music but there is a phrygian mode of of representing the octave that goes from 432 

cycles per second to 864 cycles per second so this the the reference to singing a new song suggests 

to me that possibly we're talking about a change in frequency involving life here on earth and that 

those who change their consciousness accordingly will be in harmony with the changing frequencies 

and i believe that that is one of the core teachings of this is that as earth goes through 

its evolutionary journey through the galaxy through varying geometric relationships with the 

astronomical universe what is happening is that the frequencies impinging upon the earth are 

constantly going through an evolution as well and part of understanding the ancient secrets 

or methods of the master builders of old was utilizing the sacred geometry and the 

geodetic knowledge to create structures that resonated with the earth because they were 

harmonically attuned to the earth i think that's part of what's going on trying to understand 

the sacred science behind structures like the parthenon and the great pyramid and many of the 

other temples is this science of harmony of the science of resonance and creating structures 

that vibrated according to certain frequencies and those frequencies would be attuned to the 

slowly changing frequencies of the earth itself as it goes on its cosmic journey 

through through the universe um i saw a new heaven and a new earth for the 

first heaven and the first earth were passed away and i john saw the holy city the new jerusalem 

jerusalem is the 864 right 864. that's the jerusalem coming down from god out of heaven 

prepared as a bride adorned for her husband and there came unto me one of the seven angels 

saying come hither i will show thee the bride the lamb's wife and he carried me away in 

the spirit to a great and high mountain and showed me that great city the holy 

jerusalem descending out of heaven from god having the glory of god and her light was like 

unto a stone most precious it had a wall great and high and had 12 gates and at the gates 12 angels 

and names written thereon now of course those names are mathematical keys on the east three 

gates on the north three gates on the south three gates and on the west three gates and the wall of 

the city had 12 foundations and in them the names of the 12 apostles of the lamb and he that talked 

with me had a golden reed to measure the city so here again we have this idea of the measuring of 

the city because the city is the repository of the cosmic doctrine the gates thereof in the wall 

thereof and the city lieth four square and the length is as large as the breadth and he measured 

the city with the reed twelve thousand furlongs the length and the height of it are equal and 

he measured the wall thereof a hundred and forty and four cubits according to the measure of a 

man that is of the angel and i find that verse to be particularly potent in its meaning because 

first of all we have to ask the question what are we talking about when what is the bible talking 

about when it refers to angels well you know the counterpart to angels are found in all cultures 

it's just in the bible they're called angels uh who are the messengers right from this other 

domain but in other cultures they were usually referred to as the gods and basically in the 

christianization of the ancient pagan traditions the gods were replaced by the angels but their 

function within the cosmic hierarchy is identical and so uh the fact that the 

measure of a man a human is the same as the measure of 

the angel is very interesting because it's saying that we're somehow linked 

to the gods through a common system of measure but notice the numbers 144 cubits of course you 

got to ask what is a cubit and that leads us into some interesting digressions there also the 12 000 

furlongs well anybody know how much a furlong is what is a furlong there's furlong 

furlongs have almost fallen into disuse it's a british or english unit of measurement 

but it found its way into the king james bible it was basically the british counterpart of 

the greek stade which had various lengths but basically the same length as the furlong what 

was the furlock furlong where is a furlong used today yeah who goes to the track horse racing 

a furlong is 660 feet 1 8 part of a mile well here's what's interesting about the furlong if 

you multiply it by 12 to convert it to inches you discover that the furlong is exactly 

7920 inches where did we see that number this is now a test of of your memory the 

diameter of the earth remember i said the diameter of the earth taken through the tropics 

the sacred number that's representing the earth the furlong is to the inch as the earth is to a 

mile it's a proportion this is a sacred proportion that was intentionally embodied into the units 

of measurement so that we lay out a fur along right 660 feet one inch which is derived 

from our thumb the width of our thumb right there you can check it out put your thumb 

on there and you'll discover it's an inch wide that's the digit so the thumb is to your foot 

in this cosmic relationship of twelve to one and when you pace like this is how pace was 

generally considered you start from one point put your heel against the point and 

then every other step you count one two three a thousand of those averaging 5.28 feet 

gave us the mile right a thousand times 5.28 is five thousand two hundred eighty and 

that was the origin of the buy the mile is literally a mill a thousand human paces the 

pace think about the pace what that is our foot our pace our pace our foot is what anchors us 

to the earth our pace is what moves us about the face of the earth right the most fundamental 

relationship we have with the earth our feet right that ratio of pace to foot 5.28 now we have 

the furlong is 12 000 of these things right 12 000 12 000 the holy city is 12 000 of these things 660 

feet multiply that out you discover 7 million 920 000 feet so how big is that we'll divide 

that by the number of feet in a mile 5280 and what you discover is it's precisely 1500 

miles so what what would be 1500 miles in diameter is there some some object out there 

that could be 1500 miles in diameter it's certainly described as being something 

they see in the heavens right well i'll leave this one an open-ended question for right 

now but here's something that's interesting if we take this number and divide 

it into compare it to the earth to get a sense of scale earth 7920 holy 

city 1500 so we put 79 20 over 1500 and if you quickly do that calculation in your 

head you'll discover that 1500 goes into 79 20 exactly 5.28 times the relationship of our foot 

to our pace so here's a very strange correlation the earth to the holy city is the same as the pace 

to the foot what are they trying to say there well one of the implications of this it follows 

from this truth the truth is that we humans are ultimately designed according to the cosmic 

measure we were created in the image of god right and god is the ultimate cosmic measure and 

we being created in the image of god embody the cosmic measures so when protagoras said man is the 

measure of all things what he was implying is that we are the ultimate yardstick for the cosmos in 

fact when one looks at the scale of phenomena from the human up to the largest macro scale 

that we know of and from the human down to the smallest micro scale we know of where are we 

within that hierarchy right smack in the middle so there's as much above us as there is below us 

there's as much greater than us as there is lesser than us and i think that's one of the implications 

of this is that when we begin looking at our sacred geometry we realize it's the ultimate 

fusion of all of these phenomena on all scales and the ultimate component or the ultimate uh the 

ultimate symbol of all that fusion is we ourselves and then of course ultimately 

it's our consciousness because like i said with the with with his name 

written in our forehead what that means is is that we when you study sacred geometry 

you're literally building an edifice in your consciousness you're building a form out of your 

own the the material of your own conscious mind that reflects this order of nature 

of cosmic nature that's all about us and that's the power and why study of sacred 

geometry can now ultimately be a key to accessing lots of other things like the kabbalah and then 

the alchemy and the hermetic wisdom and the gnostic traditions and the traditions of the vedas 

and so forth there it is 12 000 furlongs the city lieth four square forty eight thousand furlongs 

at a perimeter it's also described as cubicle twelve thousand furlongs equals seven million nine hundred and twenty thousand feet 

which equals fifteen hundred miles the total perimeter thirty one thousand six 

hundred and eighty that has a profound mystical significance which we will save for another 

time so there it is a tabulation of some of the stuff we've covered the diameter of the earth 

at 79.20 one furlong 79 20 inches the diameter of the new jerusalem and twenty thousand feet which 

is fifteen hundred miles one mile is five thousand two hundred and eighty feet or a thousand paces 

of five point two eight feet one and a half miles is seven thousand nine hundred twenty feet and 

here's the pace to the foot equals the earth to the holy city which equals 79 20 to 1500 there's 

that magic ratio of 5.28 that links the earth to this other cosmic entity for now going unnamed 

that relates to our own scale exactly as our pace does to our foot and what you discover is that 

if you're taller or shorter it doesn't matter because it's a proportional relationship if you're 

tall or your pace i have a my pace is in excess of six feet so 5.28 you know you're going to have 

a somewhat shorter but you're going to discover that the ratio is relatively constant because as 

you get taller presumably your feet get bigger with some exceptions right i know some 

little people with really big feet and here is the hebrew cubit which is 18 inches 

remember 144 cubits according to the measure of a man that is of the angel we have the egyptian 

royal cuban of 1.727 feet the wall of the city was 144 cubits if we take the 144 cubits that are the 

hebrew cubits it's 216 feet or 2592 inches add one zero on the end of that and we have the great ear 

cycle 25 920 years if we express it instead in egyptian cubits which may have been the original 

intent if not implic implying that either cubit was was legitimate 144 egyptian royal cubits of 

144 times 1.727 is 248.814 move the decimal over two points you got twenty four thousand eight 

hundred and eighty one point call that miles and there's the circumference of the earth 24 881 

miles so there's all kinds of information embedded in here but you've got to have the key to begin to 

unlock it okay and then also notice that the moon 2160 miles or 17280 furlongs we set the diameter 

of the moon to the diameter of the holy city there's our 1.44 ratio so what we have here 

is this redundancy over and over again we have these same numbers recurring over and over again 

in the measure of time and space both in absolute dimensions but also in the proportional 

relationships that result from comparing these various entities of time and space as 

we've learned now the diameter of the moon is miles the diameter of the sun is 864 thousand as 

it turns out if you take the diameter of the sun and multiply it by this number right here it gives 

us the distance between the earth and the sun and if we take the diameter of the moon which 

is 2160 multiply it by the same factor of 108 we discover that we now have the earth moon 

distance so it's this 108 factor this 108 spacing this proportional relationship we could express it 

this way solar distance to solar diameter equals lunar distance to lunar diameter and the value 

of that proportion is the sacred number 108. as we see embodied right here in bakheng of 

cambodia from the 12th century with its 108 towers and there are many examples of how these 

numbers were incorporated into the fabric of sacred architecture that there has been some 

kind of a universal system at use in the ancient world and these various cultural groups whether 

it was the egyptians or sumerians or mayans or the hopewellians or the megalithic builders 

had access to some universal system from some source that was outside their own cultural 

context and i suggest that the source of that goes back into deep time that takes us back beyond 

the threshold of known history into the realm of mythical history which means we're going back like 

into the ice age back into the pleistocene to use the geologic geologist term back into the to the 

deep recesses of the human tenure on planet earth whose only memory has come down to us not in the 

form of recorded history but in the form of myth and epic story and legend and so forth because as 

it turns out if we in this way this is again is a is a good topic for the sacred geometry class 

when we analyze plato's description of atlantis plato basically gave the sink the date 

of the sinking of atlantis as 9 000 years prior to solon that the egyptian the the 

the athenian poet and statesman solon did a 10-year exile in egypt and it 

was solon that brought back the tale of atlantis and presented it to the to the greeks 

and solon basically made that journey around 600 bc so if you had the 9 000 years to the 600 bc 

we come up with a date of about 11 600 years ago for plato's date for this the the demise of 

atlantis well it's very interesting that the date 11 600 years has been independently discovered 

by geologists looking at the tempo of various catastrophes that have occurred on earth and to 

those catastrophes is where i'm now going to turn catastrophes in the time of man the tempo of 

global change what i've done here is i put a time bar that goes from the present right here 

this is us now this is today right here is may 3rd at 4 o'clock is it 4 o'clock that's right here and 

this is 150 000 years ago the reason i used 150 000 years is that some of the earliest skeletal 

remains ever discovered of modern humans date back to 150 to even to 180 000 years skeletons 

that appear to be indistinguishable from a modern skeleton which suggests that modern humans with 

presumably equivalent intelligence to our own were present on the planet at least this far 

back so here we've got a 150 000 year time span you'll notice this little red bar at the end that 

red bar represents the span of recorded history which is basically the advent of cine sumerian 

uniform writing so if it turns out that there were modern humans living through this whole span of 

time why is there no history well now you got to do is turn to these various things that i've put 

on here these are events that have occurred and i used a certain criteria for these events and 

here's the criteria i used i began studying the record of geological change climate 

change environmental change and i focused on events that could be considered catastrophic and catastrophic to the extent that were an 

event of an equivalent magnitude to occur now it would basically end civilization as we know 

it that's the criteria what would be what would be the magnitude of an event that it would take 

to terminate our modern industrial civilization that's the criteria that i used then i began to 

search through the record of all of the events that would be of that magnitude or greater and 

the events that i found so far have been entered onto this graph and they're listed all here you 

can see them and how many do we have here and this is not complete necessarily but we have at least 

one two three four five six seven eight nine 10 11 12 13 14 15 16 of them in 150 000 years so at 

least 16 times in the last 150 000 years there have been climate or environmental or geological 

catastrophes powerful enough that where they occur to occur today would essentially put us back into 

the stone age but essentially if you think about some of the small catastrophes we have seen in 

the last few years from the the destruction of new orleans to the great tsunami you know to 

some of the big earthquakes that we've seen you know new orleans is still not recovered but 

you've got to imagine what would happen if an event that was one order of magnitude greater than 

katrina happened by that i mean 10 times worse let's say that we had 10 cities decimated to the 

extent of new orleans we could certainly recover from that but it would be a major effort to do 

so now what if we were talking about two orders of magnitude let's say to put it into a rough 

equivalency an event that could could cause the decimation of a hundred major urban areas could 

we recover from that questionable now let's go three orders of magnitude and now we're talking 

about the equivalent of a thousand major cities completely decimated okay at that 

level three orders of magnitude that's what these are those are events that 

essentially would be three orders of magnitude once you begin to ponder this it 

becomes apparent why there isn't a record an extant record of what's been going on 

for the whole time that we humans have been here now at this point you probably haven't tied 

this in with what we've been saying before other than i'll point out a few things to you that 

should be onset of the late wisconsin ice age 26 000 years before present remember 

the great year in the processional cycle add about 80 years to that we've got 26 000. of 

course 26 000 you consider a figure plus or minus a few centuries now you come through that cosmic 

clock that i showed you right halfway to the cusp of the age of leo twelve thousand nine 

hundred years ago roughly and what happened we have something that happened twelve thousand 

nine hundred years before present on set of the younger driest climate catastrophe 

first phase of the megafauna extinctions let's now here what i've done is i've entered 

some green dots now look at what the green dots are the green dots are basically derived 

directly from the model of the great year based upon cycles of six thousand four hundred and 

eighty twelve thousand nine hundred and sixty and then twenty 25 920 and you'll notice how high of 

a correlation there is between the tempo of events the actual events that have been derived by 

scientists without any reference to this great year model at all and the timing of these ages of 

the world remember the six thousand four hundred and eighty years that was the uh the bull the 

lion the eagle and the man and according to the traditions each of those seasons of the great year 

is inaugurated by some type of a great event a transformative event a catastrophe if you will and 

what i've done here is i have developed a data set that shows the correlation it certainly 

seems from a study of this graph that these intervals these event nodes as i call them the 

susceptibility of something happening goes up exponentially for a short period of 

time here's the analogy that i have used you're out driving along a quiet country road 

you've got it on you know cruise control you're kicking back you're listening to some tunes you're 

not paying much attention you know you're talking on your cell phone not much traffic okay now 

you come up to a major highway and cars are like this well you're crossing that intersection 

and while you're crossing that intersection now suddenly you got to put your cell 

phone down and start paying attention because if you don't you're going to get t-boned 

right well obviously you've got your whole journey and each time you cross an intersection of a major 

highway you know the potential of a catastrophe increases considerably over what it 

would be while you're out there on the lonely country road well you see our planet is 

on a cosmic highway around the galaxy and we're now beginning to understand the fine structure of 

the galaxy and we realize that there is a pattern and an order to it and there's a tempo of these 

orbital revolutions there's a tempo of the galaxy and there's a wave pattern of the earth moving 

up and down above and below the galactic plane and within that there are sub-orbital cycles as 

well and we also discover that there seems to be a tempo in the delivery of cosmic matter to the 

inner solar system it doesn't seem to be random and this is going to be beyond 

the scope of today's lecture but what i'm getting at here is that 

the evidence now supports the conclusion that the delivery of cosmic material and energy 

the energy pulses that would be affecting earth are non-random that they're on some kind of 

a cosmic timetable a cosmic tempo if you will and i think this is one of the most important 

insights we get from these ancient traditions is the measurement of cosmic time and how it relates 

to us here on earth you just got to know what to look for and where to look for it once you begin 

to become aware of it and you begin to see it you begin to realize that the cosmic fingerprints 

are everywhere about us we're in fact living in and upon the wreckage of the former worlds the 

rubble of these former worlds is all around us but we haven't had the scale of perspective to 

see it and that's where we're at now i'm i'm completely thrilled with things like the emergence 

of google earth because google earth is now allowing us to just somebody all of us to sit at 

our computers and see the cosmic perspective of earth and when you look at it from you know from 

the from the extraterrestrial point of view things begin to show up that we don't see when we're 

right down here immersed on it so close that we're like ants walking under rubble and can't can't see 

what's around us but we do see that we literally have built our own world and our own social system 

on top of and out of the wreckage of former worlds you