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being the advanced syllabus, we'll jump right in...

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WHY does Giza not show solstice? other than by inference - the causeways, popularly cited for aligning with the cross quarters, is of dubious meaning... 
While the remarkable alignment of the internal passages, in orientation with Earth, may be ascribed to nocturnal aspects of astronomical nature, the flat earther pyramid builders, according to our modern history, having no knowledge of its spherical aspect and orbital motion, could only determine East by day. More specifically of relevance, is the equinox Sunrise, when the Sun shines directly over the equator. (With the first, of two occasions per year, just around the corner... the reader may want to consider the aspects involved with the horizon, as perceived from his very own location, wherever such may be on the Globe).

While getting acquainted with the principles... it soon becomes clear, that in order... to ascertain THAT location of Sunrise requires observation of the movement of the Sun on the horizon, over the course of an entire year (for a middle to exist require two opposed outer perimeters). Thus, having FIRST observed the two standstill points of the Sun, at mid-winter and mid-summer respectively, the halfway mark is determined. This they achieved, as is evidenced by the causeway of G3, which targets the equinox Sunrise. The spanner in the works (they did not know the wheel & axel either) is the absence of any architectural feature on the plateau to evidence the solstices, which were a requirement as demonstrated by the method above. 

It is popularly pointed out that the two angled causeways align with the two, so called 'cross quarter' points. They being midway, North and South of the equinox, while the Sun is en-route to and again when returning from it's furthest migration. Having thus identified them as 'between' points -i.e. between the middle and an outer point -- one on either side of center, due East -- as would be observed on the horizon (could be another scandal..). THOSE TWO outer points are missing from the schema at Giza and without them the two cross quarter midway points could not be determined. THEY represent overriding factors and should register more boldly than temporary lines drawn in the sand... Yet, the two angled causeways -- major features -- align with the two lesser aspects of 'cross quarters', by deduction...

Seen in another context, in this case addition, if one were to align directionally with those two locations -- the solstices -- it requires an angle wider by an extra 14 degrees to each of the causeways of G1 & G2 thereby increasing it to target 28 degrees, respectively, N & S of the equator. THAT, a combined angle of 56deg., would coincide with the two Sunrises at extremity - being on the two tropic circles, with which we are familiar, in our era.. 

Those two points, 56 degrees apart on the horizon, would be an essential pre-requisite to obtain the equinox target, in the middle. That 'middle' being present in the unmistakable manifestation of the causeway extending from G3, Yet, there is no feature at Giza by which to identify the solstice points, from which alone, its placement could be derived. Instead, G1 & G2 causeways share a combined angle separation of 28 degrees - or alternatively put, 14 degrees, respectively, N & S of the equator. 

Is that not strange? Why would the founders be so illogical? - construct the causeways to align with locations en-route to and en-route back from somewhere, which itself was unknown... or of little relevance, at least not indicated contrary. There is no identifiable design feature present, it is solely expressed through assumption -i.e. doubling of the angle separation of 28 degrees, that exists, between the GP causeway and the causeway of G2 in order to arrive at the compulsory... requirement of 56 degrees. This involves specifically acquiring... two separate additions: 14 additional degrees North of East and 14 additional degrees South of East respectively. 

<< images ? ref. LINK further on >>

Important locations that they are, there aren't any architectural features present to indicate such prominence as the standstill and turn around of the Sun at solstice... Remember they could not know the equinox midway point, which IS targetted by the orientation of the magnificent length of causeway extending from "the Divine Pyramid", as G3 was originally known as.., unless having observed the full cycle. Nor did they know Earth had an equator and tropic circles due to it's axis, less so its inclination of a shade... under 24degrees, as we know it to be. 

To summarize, there is no significance to the cross quarter midway points. Being in-between the turn-around points and their mutual middle, is not anything to warrant the undertaking of constructing the causeways to align with, as they do. They are somewhat of lesser entities. In order to determine those locations on the horizon, knowledge of the solstices is required beforehand. Besides a procession led by a Mariachi band, would one not be of desire for his interment to be associated with more Bling - when the Sun is more noteworthy..?

Therefore reasonable to assume, that the two angled causeways were not intentionally aligned with the 'cross quarters' - what do they convey?... nothing, really. I am of the opinion that the popular assessment as to their function as 'cross quarter pointers' is dubious and rather coincidental - not primarily intentional. 
I would however, argue that the two causeways in question are very instrumental, with specific design aspects in the considerations. The movement of the Sun on the horizon being monitored at Giza gives credence to an astronomical platform but for reasons somewhat different. 
I suspect and hope to be able to substantiate, that the two angled causeways, with a 28deg. angle separation, indeed demarcate the limits/standstill points... of the Sun and that they actually target the solstices... of a former era - coming to within NEAREST of limits N and S of the equator, at a time when the axis around which Earth rotates, was at it's MIN. inclination. - the closest attainable to an 'upright' Earth.

The Sun having obviously surpassed those markers by now is therefore indicative of it being en-route to somewhere... somewhere beyond its former boundaries. Think of the Rocky Horror Show soundtrack - "its astounding...". Earth's rotational axis, with obliquity at present around 23,45 deg. is in the process... of changing - having processionally departed from the equinox associated with min. obliquity. As passengers humanity is currently underway to the antonym extreme - like passengers aboard Titanic. 

The two equinoxes, being that of precession in this instance, occur likewise; with Earth's axis at perpendicular to the focal of the Sun; the dividing line between day and night passing through the poles. This occurs on two occasions only -- reversed and in opposition by 13000 years -- when the Sun is situated directly over the equator. 

With the min. obliquity event behind us, a golden era, the other of the two equinoxes lies ahead. That event is associated with Earth's axis at max obliquity - attaining eventual inclination, which could perhaps be better termed declination... Hinged by the equator as it were, Earth's N. Pole and S.Pole, simultaneously, drop away from the perpendicular vertical, dipping by as much as 58° toward the ecliptic, where they come to within 32° of the horizontal plane. Two referents, all the same, depending how one views it. It is the turn around point to which we are currently underway, in process of incurring further tilt. Obliquity variance with parameter limits of 14° & 58°... science fiction, huh? 

Seen side on, looking along the ecliptic plane, Earth's axis pendulums from 14deg. on one side of the vertical to 58deg. on the opposite... in Zodiac terms occurring on the alignment between Virgo and Pisces and with the N.Pole inclining to the latter. Important to remember that the motion is cyclical. That such a scenario implies repetitive catastrophism... That the changing orientation of Earth's axis trace great circles, at opposing direction, against the backdrop of the sky. At any chosen point, along the path of arc translates as what is termed the 'Celestial Pole' - thus not a fixed location but one associated with its time in space during the relevant era in history, or the future... 

There being one in each hemisphere, either side of the equator, facing opposite sky - thus a North CelestialPole and it's opposed, South. These are the paths along which the Poles wander and the turn around point is 'just on the other side' of the EP's... Yes likewise, there are two EclipticPoles -- relative to Earth's plane of orbit and perpendicular to it -- each at opposite. The changing orientation of Earth's axis being relative to those locations with the Poles encircling them. This however does not occur at equidistance, due to variable obliquity and the EP therefore is not the hub for the arc of polar wander, as is believed... We shall focus on the sky over the N. hemisphere. 

The polar wander circle, related to its turnaround in proximity of the EP, implicates Earths axial inclination at min. obliquity, incurring an angle to the tune of 14deg. off the perpendicular. That sector, extending beyond, exceeding the 90° perpendicular, is not a concentric circle but actually a 1/4 arc of the circle, for which the EP is near foci. These values are approximations, therefore any refinement will influence relationships accordingly - exact angle associated with obliquity being sought in that regard and with relevance to the causeways at Giza. Separated at right angles and equidistant from the EP, obliquity is in the order of 24deg. at each perimeter with the min reached midway, when Earth's axis comes closest to 'upright', upon reaching its closest point to the EP. That section of polar wander arc, in-between those two perimeters, represent an era of 6,5 millennia. The greater remainder of that circle, with obliquity ranging from 24 to 58 degrees and back to 24deg. is due to be encountered over the following 9,5 millennia - 9500/26000 years.

That then a rearward and forward look, relative to where we currently are in the cycle. Seen in context of obliquity closing in on 24° and North Pole orientation in a farewell embrace with Polaris. Over looked by science, the sky being observed at perpendicular and motion plotted two dimensionally, the plane of the circular path is lost in perspective. From that pole-star encounter, the North Pole plummets pirouette-like in an arc toward Earths plane of orbit, attaining max... Seen side on, the poles of Earth's rotational axis settle at 32° N & 32° S off the horizontal, the ecliptic - that golden thread by which Earth is swung around the Sun, its facing half always illuminated.

Having reached that low point, being the turn around, furthest from the EP foci the North Pole pirouettes in an onward arc, of equal time span 9750/26000 yrs and uniformity as in the case of the former -i.e. 19,5 millennia combined. The action eventually leading to attaining the equivalent obliquity of our present era, however, not at the point from which we bid it bon voyage. The North Pole is courting Vega, opposite it, with 6,5 millennia remainder of arc yet to be covered, before reuniting with Polaris. Thereby completing the full circle in 26 millennia.  The historic era relating to that sector, from which we emerged 6500 years ago, will be put to scrutiny later on. Dwelling on the remainder for now, either side of the turn around, we are entering the equivalent conditions, reversed however - a dual 9,5 millennia period of correlating climate... an Orion Climate Correlation :-D

From this it should be clear that we are not at the beginning, nor midway but underway in a cycle with two notable opposing points, of which we recently rounded one.  Progressing from one to the other incurs obliquity variance in-between. Accompanying a precession revolution is the motion pattern reflected in the stars, registering as their apparent movement. Thereby a means is provided to monitor the motion of Earth, the actual source of the movement, which we thus perceive indirectly. Yes, the grandiose act playing out in Heaven has real repercussions down below - Hell on Earth, so to speak.

Astronomical observations to be gleaned for instance; just over 3 millennia ago, at the time of min. obliquity, Earth's rotational axis flirted with the vertical. The North Pole aligned with the constellation of Draco, putting it in diurnal spin... NOT by targeting the star Thuban however, which is (erroneously) deemed a former pole star but nearer the vicinity of z-Draconis, which is closer to the EP, so named for being vertical to the plane of the ecliptic. Orion, being a fixture of the celestial equator, was thus at max. declination, above the horizon. 

Although not claiming it to be the case but potentially - it could have been the Earths original orientation in space, prior to the cosmic impact event that commenced the retrograde revolution, which at intersect twines the polar axis from it's center outward. That gyrating motion is indirectly observable in true polar wander - the changing orientation of Earth's North Pole as observed against the background of stars. What was Earth's original obliquity setting? Before encountering an axial wobble, any point during the entire subsequent cycle, termed precession, could be in contention. Reverse determining that is tricky. The impact site only provides 'ball park' dating and angle of impact is by deduction. The source or approach angle needs knowing - i.e. the whereabouts of God on the day He cast that stone down... Veritable evidence, or the precise science of hind sight... of the N. Pole aligning with a specific location is being sought (some cross... references ;-) 

That information, also, is certain to have been encoded by the founders at Giza, had it been known to them. That possibly... may relate to the pyramid placement deviation from the belt angle, although having knowledge of that would be quite incredulous... That they had knowledge of the consequent cycle however and importantly, it's extent is evident. Those aspects relate well and with clarity, such as by geometry implicating 'the division of the two earths', which is endorsed in the literature of the legend concerning the two crowns of Egypt. They depict a precession revolution. It's tangible and veritable -- all one need do is travel to space and observe it :-) or observe it reflected in the image if Heaven -- as above, so below.

We are dealing with four dimensional space, which one is hard pressed for visualization in perspective - outside of horizontal and perpendicular restrictions not to mention jargon.., which is deficient in encapsulating something that has been outside of the realm of scientific eminence, which is short of correct and incomplete of greater context. For the sake of mutual reference and a basis of understanding, adherence to much of its perspective is required, regardless. The legend in conjunction with geometry, of which Giza is at the hub, provides two fixes at 90°  separation, each with an opposite. It reconciles the cycle with events of the first time, the division and subsequent re-unification. 

The GP is said to be originally known as "the Pyramid which is the Place of Sunrise and Sunset". The revolution is tracked in relation to stars of our Galaxy and our host star, the Sun... viewed in perspective of its location along the spoke that extends between Orion and our GalaxyCentre. One event occurs in alignment with it, the other crossways, perpendicular to it. On that intersection Earth is observed and shown to rotate on the spot - its axis in gyration - a day and a night, one revolution precession-ally. Earth is seen transposed against heaven and oriented within its surround by means of a mark with dual aspects...

Giza-Rostau is diagonally divided in two halves. Although not the theme at this time, it is integral and deserving of mention. That division is geometrically inscribed on our Globe, with Giza its hub, and divides Earth in two... Everybody has heard that Giza is at the centre... In the Kore Kosmou Isis tells Horus how the land of the ancestors lies in the 'middle' of the Earth. In space, de 'mark'..cation is not directly visible - it is at the point separating the distance between the centre of 'de' Sun and that of 'de' Earth, where it is indirectly observable. It is the vertical division between day & night. It separates two opposing eras. The 'mark on Earth' designates the axis around which Earth revolves processionally (this motion alters Earths orientation, hence the Poles wander). Correlation thereby synchronize the orientation of Earth in space with time. It tells us where we are - how practical, what wisdom. Who was the source of such lnowledge and insight? 

This revolutionary goings-on is inseparable of equinox... the golden thread linking the two bodies by their centers. What greater precision than that, what better place to scribe the math, than in the sky - it is what it is, where it is... an ultimate truth. The observer merely requires knowing where to look, and instruction in how. Spin a story, folklore, celebrations... Furthermore, demonstrated by two opposing eras, is the varying relationship of Earth with the Sun and the two extremes on opposite sides of the scale Ma'at. The two territories, relating to two eras, share a common denominator in the Sun -- each, in turn, facing toward it and at 180deg. opposite into the starry after world of the Duat -- that being Osiris's occupation. The geometry is latent... in Earth and, in correlation with space.

The two equinoxes designate two opposing eras. Midway, also separated by 13000 years, are the two instances that relate to Earths axis precessionally oriented toward and away from the Sun and therefore also in relation to the GC. The Globe therefore revolves, through the perpendicular dividing day from night, so turning a precessional day, of 13millennia, into a night of 13millennia and vice versa. The accompanying solstices... during that era, the product of Earth orbiting around the Sun, occur at latitudes FARTHEST from Earth's equator -i.e. at extremities N and S thereof and nearer the Polar circle. That shift variance indicates the max. extent of obliquity of Earths axis. 

The quartet of stations, to coin a phrase, each 90°  apart from the other, thus represent four prominent stages of precession. They reveal the plane at which the equinox advances around the circumference of the World. It is the equator of the axis around which Earth revolves retrograde, so changing orientation in space. It reveals the action as exhibiting obliquity and as a consequence polar wander does not occur equidistant around the EP. Precession is an independent revolution... a rotation around an axis that displays an element of obliquity. That action intersects Earths axial rotation, which has its own obliquity factor. It overrides and twines Earths axis, which is observed in it changing orientation and termed true polar wander. 

Modern mankind has witnessed but a fraction of that in progress and in the reference frame of two dimensions. Although Earth's retrograde revolution, is consistent with the motion pattern created by changing star coordinates, around the EclipticPole, Earth's axial ORIENTATION w.r.t. 3D is not fixed relative to the revolution incurred. At perpendicular to sight, it does not revolve the North Pole in a concentric circle around the Dragon, as is projected in 'the classical model', it slays it, in half... Thuban was nowhere near the celestial pole, it was not a former pole star. In fact, passing over this constellation -- Earth's N. pole scribes across it -- and coming to within close proximity of the EP... to which the circle is not concentric and a larger one at that. 

If the direction of pole wander can observed long enough -i.e. the path followed by the CP from Polaris onward, together with the entire canopy of stars, the trend will be revealed - also i.r.o. the ecliptic, to which plane the classic model erroneously projects precession to concur with at parallel. 
Imagine: Earth in the same (classic) revolution, which advances the equinox BUT drop the static obliquity, by which the N. Pole scribes the PERPENDICULAR circle and instead: let the Globe repeat the revolution - slowly, it takes 26000 years... View the World with equator side on, at perpendicular sight to the ecliptic plane and during the cycle alter the obliquity at the same rate, so that Earth's axis from it's alignment with Polaris, pendulums from 24° to 58°, then back to 24° (Vega) reducing to the vertical 0 and byond by 14°, then through the vertical and finally back to 24° (Polaris). Whereupon one retrograde revolution is completed and during which obliquity ranged between 14° & 58° -i.e. 72degrees variation. Now look at the circle - the path of true polar wander.

Earth orientation for the duration of a precession cycle can be projected, therefore interesting to consider which point during that revolution is representative of Earth's original... stationary and non-wandering pole, before precession commenced... That's to say prior to the impact that kicked off the cycle with some back spin on the ball, shortening the length of day by interrupting the Globe's revolution for a minute - one that has repercussions to this day... 
Earths axis had become perturbed; "leett's do the time warp agaaiiin..." drum-roll... What we can glean from the oblique precession circle is that 2 millennia prior to the stable peak, that's to say some 6,5 millennia ago, Earth's rotational axis was similarly inclined, to in our present era. No surprise there, since it is believed to be, more or less, a static state of affairs. The fact that Earth's axis was orientated opposite - opposite to the EclipticPole and seeking out the star Vega, is also not surprising. What is surprising is 1.) it not occurring at the expected time, being c.12000 BCE, during the cycle and 2.) the time taken to do so  - this may seem like an impossibility: the celestial pole shifting from there to Polaris... in 1/2... the time that it would be expected to do so, translating as 6500/26000 instead of 13k/26k.

>> images in linked pages & sub 's <<

This implies Earth's axis incurring a directional reversal with respect to Orion and the GC. This happened indeed - via a non-concentric arc, which is in conflict with classic precession. Continuing non-concentrically... from its encounter with Vega, that obliquity angle, in the process of the Pole altering orientation reduced, en-route pinning the Dragon down and straddling the cusp in a close brush with the perpendicular of the ecliptic - attaining minimum obliquity, again at odds with classical perception... From this near proximity of the EP it uniformly drops off again with our era dawning on the scene, regaining similar obliquity in the present by aligning with the North Star, Polaris, in occupation of the N. celestial pole (important to discern difference between the terms 'celestial pole' & 'ecliptic pole').

From the perspective of Giza... attempting to interpret the internal passages of G1 pointing to the North of the sky. The ground below, Memphis, mirrors the strip of sky that links the equator with the celestial pole. The 8 pyramids of the Old Kingdom represent a map that details the meridian, known by us as the 6th hour right ascension meridian. Directionally inverted to the sky, this correlation, now in conjunction with the descending shaft and ventilation shafts ;-) direct one to look along the orientation of Earths axis - from the periphery of Earths centre, thereby determining the Celestial Pole - thus situated directly over the North Pole. The reader will have noticed, no doubt, that entails looking North... accordingly, whatever star may come into that alignment, such as Polaris in the present era, is labelled 'the North star'. 

I would venture to suggest a combination of celestial alignments involving the descending passage and two star shafts, with the two stars under spotlight here, together with the EP. The latter, in all cases mutual, is the still point on which the orbittal mechanics are centered and around which star motion create the accompanying tell-tale motion pattern. An all important location, yet... and this is contrary to belief, it is not the hub for polar wander - the path scribed by Earth's polar axis. This deviation, I maintain, is ascribable to variable change of orientation... variable obliquity - in the action of advancing the equinoxes Earth revolves, it's axis changing orientation, directionally aligning to different locations in space. 

That motion, viewed on the spot, is the source of the star pattern perceived. The plane of that motion and the directional orientation of Earths axis are related, yet not in accordance ... The perspectives of the motion in 3D space have gone amiss, they are not mutual. Classical precession purely observe a two dimensional plane, at perpendicular... both motions are oblique to that - a contradiction.

That mutual ground sky meridian, through the retrograde revolution incurred by the Earth, move apart as two interlocking gears do, rotating on axes. In our instance, Earth, or its 'Jed Pillar'.., being the driving shaft of pole wander and wondrously, only 1/4..! rotation would have the mutual meridians 180°..! apart -- Earth doing a precessional about turn in 6500/26000 -- the mutual perimeter contact being the CP, the mutual hub being the EP and from where extends the celestial meridian and, directionally opposed, the terrestrial meridian... 

Earths axis linked via its orientation and pinpointing the CP on two opposing occasions, as would be observed from the horizontal plane, being Earth; the three locations are in vertical alignment, on two opposing occasions - as Earth slowly rotates retrograde on its drive shaft anchored in the EP... the vertical becomes inverted and the N. Pole had wandered to the opposite side of the EclipticPole -- the orientation of Earths axis becoming directionally inverted -- and with it, the CP. See... the book of Ezekiel is easy by comparison.

Two opposing eras, two opposing pole stars - sought out by the wandering pole, being the Northern finite of Earth's axis. Seen in a mutual vertical, two meridians extending away from the EP, 180° opposite. Earth, for which the viewer, is the horizontal platform in-between... the ecliptic plane, being Earths orbit and perceived by the viewer in observing the migration of Sunrise on the horizon.

However, now it's night time... at Giza the KC Southern shaft is directed to Rostau, its celestial counter part, on the equator. The close by intersecting meridian, which extends overhead from one pole to the other thus links Orion with the CelestialPole. This Northern strip of sky is mapped out in the Meidum Pyramid - Bent Pyramid - Red Pyramid, which in conjunction with Giza denotes the upper celestial sphere. When that correlating meridian i.e. Polaris - Menkalin - SAO 58636 comes into vertical, or plumb, to our viewing platform, it signifies the orientation of Earths axis, with respect to the four colures, by night. On the spot where you stand, facing the CP, arcing directly overhead the 6hRA meridian links to Polaris, that line extended down to the horizon is where the North Pole is. Underfoot from your position to that spot is Earths axis, with the GP locked into it. Thus their nocturnal means of alignment and what they duplicated on Earth :-) a map of the sky.

Thinking aloud... it is improbable for both stars to be so precisely separated, that a solo shaft could capture both during their respective eras of being crowned 'pole star'. More credible perhaps, that two shafts intercept Vega and Polaris independently. Reasoning lured by logic but nature does produce some wonderful peculiarities... however, to pin-prick among changing star coordinates in a sky rolling by over eons... perhaps the descending passage does? Specialized astronomy software, with programming of proper values, will enable accurate projections and provide the data. 

It is my contention regardless, that those two shiny beacons pinpoint the arc of true polar wander - some 6500 years apart and tangent to a circle of some 72..! degrees in diameter. That represents the path of variable orientation, which occurs in alignment with the North Pole of Earths axis. Therefore also, one and the same path targeted by the relevant shaft/passage aligned with the CP. Considering variable obliquity factors and possibly proper star motion also, it is not impossible that they indeed align directionally opposite, or very near, to be intercepted at 6500 interval & 19500 during the 26000 year cycle. 

In progressing along it, actually scribing it across the sky during a precessional revolution, otherwise referred to as 'true polar wander'. Somewhat like the point where you are at, at the moment, any moment of a long count cycle or Great Year comprising all moments... The CelestialPole is an extension of Earths axis into space, therefore wherever it is oriented, determines the CP - thus a virtual point of intercept, which will encounter the two stars at a quarter interval, the equivalent of 6500 years being their separating distance on a polar wander. Polaris in the present, the other Vega, the 'pole star' in c.4500 BC. Midway of that quarter - circa 1200 BC, the all important equinox occurred. The significance being that Earth's axis was at its min. obliquity. Do the causeways at Giza concur? 

In classical precession, producing a circle of smaller diameter (a product of  fixed obliquity), those two stars are projected equidistant of a pole wander path that is concentric around the EP - thus 13000 years apart. The pole wander circle incurred by variable obliquity is larger but extends over equal time. The arc being merely directional orientation, virtual tracking, during a revolution - being one and the same maneuver in which the equinoxes are reversed. In the short time from 4500BC until the present, would entail the Globe to perform a revolution, without disturbing the cogs and wheels, yet changes the alignment of its axis through the vertical of the ecliptic - impossible..? 

>>> enter the PYRAMID... you are seated behind the controls of the machine that has Vega in the cross hairs of its turret... you want it trained instead on Polaris but the gun barrel is jammed, fixed... being the ace you are, after knocking back a Red Bull of course, you say: "no worries, watch... and Tally-o'-You go, throwing the joystick over and in a 1/4 barrel roll... go inverted to the artificial horizon, flipping Earth over, to achieve exactly that - the maneuver took 6,5 millennia, only. 
I propose the KC N. & QC N. shafts in combination with the descending passage respectively target Polaris and Vega, with the the EclipticPole in-between - forming a vertical arrangement and each star wandering into its viewing slot, being the CelestialPole, at opposite eras - Polaris in the present and Vega 6500 years ago. The bogey 'classical precession', whom you just intercepted, despite mutually equal pace, could only do so in 13000 years due to his 1/2 barrel roll.

Khufu may have adopted it for different usage... echo's of ancient voices:
"The King is a-flame, moving before the wind to the end of the sky and to the end of the Earth... there is brought to him a way of ascent to the sky..." {UTT.261}
".., I have ascended in a blast of fire having turned myself about. The two skies go to me." {UTT.332}

I had not paid features, such as the N. oriented shafts, much attention previously but having the overall gyration maneuver ascertained by demonstrable means, independent of  those features but also represented at Giza, I can contemplate such prospects. Translated: having nailed the science (crucifying comes to mind), which includes climate.. without invoking the taboo & woo-woo of pyramids, their integral role, indeed, can be vindicated. The founders were smart and they convey to us that Earth has an axis. Don't trust the establishment - at any level of the pyramid, defy the matrix (follow Tbird, on geo-politics). 

Linking Giza by reverse engineering a 180deg. directional inversion, in the space of a quarter cycle of polar wander, asks for great accuracy in projecting the change in orientation incurred by variable obliquity of Earth's rotational axis however and would require specialized computer modeling to simulate in conjunction with aspects such as shafts in the GP - expertise and resources, the likes of NASA (establishment) and as such I provide a verbal account (talk is cheap :-) governed... by my own restrictions in relaying an observable truth. The challenge: alignment of Earths axis with the celestial pole when Polaris is in our present era and reversed but importantly 6,5 millennia ago (not 13...). My model shows it is possible.. four dimensionally,  It replicates Polaris and Vega exchanging places over the course of Earth's revolving polar wander - the latter becoming the 'pole star'.

From our present era, to a correlating time opposite... back in recent human history by 6500 years, we thus have a map of time and the varying inclination of Earths axis in-between. Critically, that incurs obliquity variance in the order of 10 degrees. Due to the zone on which the digression occurs, the repercussions may not be equally severe. What inspired the spate of prolific building of circles and similar astronomical observatories?  For a pure visual effect, the motion is equivalent to facing the night sky, irrespective of direction, or Orion if it can be singled out - then, on the spot where you are standing, slowly turn through 180 to face opposite. The entire sky had turned. Similarly, all this astronomical activity, however not on that plane, was encountered over a period spanning 6,5 millennia - comparatively short, being a quarter of the Great Cycle, instead of the expected 13 millennia midway turnabout of the 'classical precession' prediction.

The short way round from Vega to Polaris, involving a reversal of directional alignment across the pole of the ecliptic, over 1/4 of a complete cycle of true polar wander. That is the arrangement of sky, 'attached' to Giza via the N-S passages of the GP, undergoes a 180deg. directional inversion. The Globe however, had undergone 1/4 only of its retrograde revolution, 'precession'. Earths axis pointing the opposite way at the same obliquity, seeking out Vega which technically is the N star, then in proximity of the Celestial Pole of that era... 
The next turnaround occurring during the 3/4 remainder revolution, being 19500 out of 26000 years from Polaris the long way round back to Vega. This incorporates our present era, thereby providing two perspectives, one past, history, the other ahead, future... 

In obvious contradiction to that of classical precession, however, essential in reconciling geological record with era by era climate change. In the 'classical' model hardly any change will be incurred. It is contracted, due to it employing a rigid obliquity angle. It would place those two stations, Vega (c.12000 BC) and Polaris, not solely as equidistant but also concentric of the EP. Thus also a smaller diameter in arc but thats not all... they observe it purely at perpendicular - i.e. 2D... classic! Hosting them in that scenario, the 180deg directional reversal action would occur over a  half cycle of precession, the event spanning 13 millennia, double that what I predict for the sector of arc from Vega to Polaris and transiting Draco.

Dwelling on the preceding era, from which we just emerged... quite remarkably, during that comparatively brief peak, along that short sector of arc of the long count, 6500/26000 Earths axis had undergone a 180 degree change in orientation - rotating from one way of the EP to the opposite... That shift in the entire canopy of stars, represents a huge motion, during a few millennia - some intricate rotation involved in doing that... On each occasion of the N. pole of Earth's axis in alignment with the  locale of Vega or Polaris, they each in turn become captured in the hub of diurnal spin. The respective N. shafts in G1 aligning with the celestial pole at present target Polaris however 6,5 millennia prior, Vega was enticing the wandering pole. This implicates the entire sky in a 180 degree maneuver... on that time span and accounts (correlates if you like) for the star motion pattern observed, as occurring with the EP as hub... The rate of precession may be perceived as escalated, from such 2D perspective... 

NASA level of technology is required for plotting the true pole wander interception proximity with stars. My scale model replicates the mechanics remarkably well but would not reproduce the detail relating to interaction of star shafts (several manufacturing glitches, including one of Chinese origin - the Globe itself :-o) It can none-the-less be observed mathematically and geometrically in a tangible in reality. The principle is well demonstrable with a wide ranging frame of referents. Computer modeling based on accurate values can overcome such intricacies. Precession simulating software is fed with 'classical' data to reproduce... 'classical precession'. 

Other than the effect in visual terms, the impact on the Earth system, I guess, would not have implied equally dramatic conditions.  Non-withstanding this radical reversal, the distribution of Sunlight over the Globe remains uniform, as during the preceding period. During both periods polar ice forms simultaneous, both hemispheres in tandem and seasonal flux minimal, stable ocean level. Climatically however, we can all relate how the diminishing degrees accompanying the Sun's seasonal migration impact  temperatures and therefore the zone will be most relevant: latitudes beyond the tropics, that we are familiar with, will experience temperature drop, while those equatorially prone will be unbearably hot virtually all year round.    

Accordingly, precipitation could also be greatly altered, thus eco systems - driven by the (altered) Sun... Earth's axis in the process, being perturbed by relatively minor variance (minimal obliquity divergence, if around 40% variability can be considered as such, occurring twice during 6,5 millennia. That being due to traversing through a directional reversal in process of tracing 1/4 of arc over 6,5 milennia out of a 26 millennia circuit - the unusual quarter of precession we are exiting. Essentially best representative of stability then, with obliquity in the order of 23,5 deg. narrowing to 14deg. and back to 23,5deg. with balanced uniformity. The cusp, when the Sun is reluctant to lessen its grasp of the equator, a millennia or so, could experience most upheaval. Polar ice  caps growth attaining thickest, so too glaciers at peripheries distant from the equator. Oceans receding dramatically as a result and possible that the equatorial bulge peaks, terrific tides... 

Thus also two climate correlating periods either side of that cusp. With two larger poler circles advance & retreat of ice in combination with sea level, at this time, would ? equate to minimal ? sea level variance. Climate and temperature certainly, would be impacted in proximity of higher latitudes. Likewise, it may be a time when higher altitudes, beyond the extent of the tropics would be more prone to ice build up and that it is those old... glaciers we are witnessing retreating today. Ocean currents and conveyers influenced by the flux in location of temperature concentration... Equatorially it would be broiling within what would be a narrow strip of tropics, with the solstices at greatly reduced angular separation. Is THIS what the causeways say by the mean 28deg. angle separation, 14° either side of the equinox?: EarthAxis[at]min/obliquity[dot] EQUINOX

Of course any of a number of references can be derived from the cycle, however not all of equal noteworthiness. Therefore most prominent, are the opposing extremes and cross-way parameters, where we fit in. Seen in other perspectives; the equinox, coinciding with the epoch around 1250 BC, hosted the min. obliquity peak, which is significant as one of two turnaround points, 13000 years apart. The other being max. - yet to be encountered in 9750 years time. Advancing along that sector of pole wander, encounters escalating obliquity change, incurring great instability with far reaching consequences. 

In a grand coincidence of place and time, or perhaps an appointment with destiny, our era happens to be one of two instances when Earths axis is in vertical alignment with the Galactic Center. It implies the North Pole, slanted at 24deg. toward the GC, on one occasion and  reversed on the other. That action entails Earths North Pole wandering from Vega on one side of the EP to Polaris on the other side, in between shedding some 10degrees obliquity angle and implicating the EP in a near brush, to do an about turn in 6,5 millennia, only... The path of the Pole is apparent along a near curve around the EP, which is midway between those two stars/stations  being the foci for the movement in which -- with the N. Pole shifting from Vega to alignment with Polaris -- facing Orion, opposite to the GC. 

At this time, Earths axis again in a vertical alignment but reversed, so that the South Pole is then orientated toward the GC. When observed at perpendicular sight, this motion occupies a sector of the precession circle, traced by the N pole of Earths gyrating axis, in perihelion of the EclipticPole. That also coincides with min. obliquity. The circle traced out against the canopy of stars is thus oblique, not concentric to the EP. On the 2D plane the shifting path of the Celestial Pole, relative to the EP is at perihelion for min. obliquity and at aphelion for max. obliquity. 

It is evident that the directional reversal -- around the pole... of the ecliptic --  occurred rapidly by comparison to the reversal incurred with advancing the equinox along the plane... of the ecliptic to a point of opposition. This is ascribable to the oblique aspect of Earth 's gyration around the vertical z-axis and contrary to the classic understanding of precession, adorning it with undue flattery in calling it so, since it really belongs in the annals of a flat Earth. 
Earths radical obliquity variance is significantly associated with two opposing equinoxes. 

The min. obliquity peak is associated with one that denotes the stable half of the cycle, while the other equinox, literally opposite, incurs max obliquity and chaotic conditions on Earth. Seen in conjunction with the plane of the ecliptic, the two -- from one peak, one equinox to the other -- are at midway intersect, 180 degrees opposed, thus 13000 years apart. This reversal action, in Zodiacal terms, occurs in-between Virgo and Pisces, being perpendicular to the Orion Galactic spoke. Thus at odds to the event we scrutinized earlier, that incurred alignment of Earths axis with the Orion Galactic Spoke. (for broader context, more clarity - see images relating to phases of precession).
(other visuals of relevance in the sub-pages)

How does one relate such an intricate event? Write it in stone, perhaps tattoo it upon the Earth - the 'Scribes... of the Gods' ..! maybe a suitable title for this, by now accrued, essay. I have no idea of its length and to navigate this body of literature within the confinements of a phone screen is exceedingly challenging, at the very least, equally irksome. Therefore, where it may lean... toward duplication, contradiction or regrinds... like one of those infomercials for the latest potato peeler... it begs forgiveness. If it seems like a lecture... pay attention! Context demands much length but mostly, in fact uber-mostly, the reasoning behind this all-in-one volume is with intention to minimize ongoing engagement (I am on a wander in the wilderness) by means of the one finger exercise on a pop-up key pad, with yet more implications... especially when after all the effort, the reaction is still: "eh..?" :o) or more boldly: "EH..? :-))

The North hemisphere is well suited for overlaying against the stars, where their apparent motion is observed as processing around the EP. Likewise the path of the N Pole   has more stars to encounter and is thus better revealed. The Southern hemisphere is ideal to view the Globe remotely since the two distinct landmasses of Antarctica and Australia can be observed to revolve around the hub of precession. Oracles in AE mythology relate to a correlating terrestrial division, that fixes Earth in synchronization with its surrounds in space. That division, essentially represents two halves of a whole - the axis of precession.

The occurrence is observable in a 1/2 revolution of the 26000 year cycle: with Earth revolving retrograde (precession-ally) through the perpendicular day --|-- night divide, two vertical hemispheres facing opposite into space, exchange midway -- one territory illuminated by the Sun while the other faces opposite, to the stars -- each era comprising 13000 years. The legendary two lands, one facing fore, the other aft... a rebirth cult and the after world... The one period incurs catastrophism, associated with celestial aspects -- change observed in the stars -- the event is staged by the Earth, the brunt is borne by humanity...
During one quarter, a relative period of stability prevails, while during the remainder 3/4 of the cycle, obliquity is in a duel with the ecipctic and associated with radical divergence of conditions viz climate, escalating in ice growth & decay and associated sea levels. Throughout the cycle, the apparent positions of celestial bodies alter in accordance, which plays out in a repeating pattern. The era of construction of the pyramids therefore, while occupying one date in time, may very well by design signify another time in history and by cyclical implication, also convey a future time... Thus, opposite of min. separated by 13 millennia, we find max., two opposing peaks - one stable, the other not - drastically so and associated with the exponential relationship between Earths axial obliquity and the declination of Orion, where it is located on the celestial equator also on opposite of the scale. Osiris ruled over all of Egypt... subsequently the land was divided (for broader context see Consolidating the Legend).

Traditions of a cosmic catastrophe, that occurred in the remote past, relate the Sun rose only a little way over the horizon and remained there without moving; the Moon also stood still. Mexican annals recount of a night did not end for a long time. Documented in a number of similar stories, the theme of such a cosmic occurrence persists - memory of an event so unusual, it became the most impressive recollection in the history of many cultures throughout the world.
”Velikovsky's theory, Worlds in Collision, was that at some time.., either the Earth was interrupted in its regular rotation by a comet, or the terrestrial axis was tilted.., so that [for a duration of time] the Sun appeared to lose its diurnal movement. Intriguingly, in the book of Joshua, a couple of verses before the sun is suspended, it is said that the “Lord cast down great stones from Heaven".

Image showing Earth at equinox relative to the Sun - NOTE the terrific mark left on the skin of our planet by the impact...
The image is in accordance with Earths present obliquity. The tropics would have been closer to the equator during era of lesser axis obliquity.

Zep Tepi comprises a cycle, which encounters Earth's backward rotation through the perpendicular that divides night and day. Earth has a corresponding demarcation that separates it in two halves and by which it is monitored. The synchronization of the two relates to the commencement of the motion - triggered by a space impact. IF the rotational angle of Earth's axis was unvarying, the design layout at Giza would have conspicuously incorporated the 56 degrees of separation as primary, instead it is derived by inference... 
Cross quarters being merely the midway points between the equinox, due East, and the summer & winter solstices, which occur 28 degrees N & S respectively of East (on the horizon and which are not incorporated at Giza... 

As previously stated, Earths original obliquity angle could be at any point along the cycle, commonly refered to as precession. It is highly likely that the Moon is related also... its plane of orbit my still be in tune with the former World it encircled. I claim that the phenomenon, sometimes referred to as 'classical precession', in fact, to be the product of a motion, set into action by the KT event space impact, which furthermore is wrongly... attributed to Chixulub. Although naming few here, it never-the-less :-D should be quite evident that there is numerous dogma, with which I am in disagreement - imagine the opposition it is likely to encounter... 

It has not been possible to deal with the volume of related issues at once and what is presented here may be of mutual relevance elsewhere. Although integral, the design and geometry of Giza is not the sole basis of my argument but its intricacies, of course, have been of intrigue, as still is the case with many of its features and evidenced by the many topics of ongoing discussion. There is still that calibrating device (Petrie's workmen barracks :-D to put in proper working context.

Incidentally, the orientation discrepancy in the angle of the three great pyramids is some 14 degrees out of sync compared to Orion's belt, their celestial counter part - still uncertainty as to why the founders had deliberately altered the belt angle. Initially I concluded that the correlating belt match occurs at min inclination. I can add that min obliquity coincides with precessional equinox, which occurs with Earths axis at perpendicular to the Orion spoke.
Furthermore, a mutual meridian lock-on, or correlation occurs at 'precessional solstice'. There are two equinoxes and accompanying solstices, precession wise, for lack of better definition... Essentially it translates as four opposing eras, in conjunction with orientation aspects; Earths axis in alignment with the Orion Galactic spoke during two and and another two at perpendicular intersect -- across each of the four stations -- relate to the obliquity variance encountered.

Thus we have multiple fixes emanating from one source - Giza. 
One such relating to Earth's axis in union with our Galactic surround, oriented - showing us how we fit in... and rotate... in a context of a commencement and completion of a revolution... at what pace... how that impacts our orientation and inclination... in relation to our Sun. The other coincides with a particular time during that cycle - 14deg. out of sync in our era.

Giza has a celestial counter part -- a duality mapped out in the sky, that is affected by motion incurred over the passage of time -- measured against the stars, the entities move apart, out of alignment, to be reunited after a long a cycle. At the time of correlation, Earths axis is at min. obliquity, if that be of any relevance, somewhere in the vicinity of 14 degrees - by the approximation of my protractor... 
The original name for the GP was: "the Pyramid which is the Place of Sunrise and Sunset"...  its causeway at 14deg. N of the equator is significant of such... 
Giza measures our orientation in space, the Globe and its common denominators: the equator and the Sun - our capture in orbit around it, our dependence upon it and the strive for harmonious balance with it, our OverLord.

      ----> MATH EXERCISE <----

At latitudes north and south of the Equator, the paths of the Solstice Sun are still 23.5° N and S of the path of the Equinox Sun, but measured along the horizon the angular separation is greater than 23.5°. The true angular separation of the solstice and equinox sunrise is calculated by: sin(D) = sin(i)/ cos(l)
(D) = the angular distance of sunrise and sunset from due east or west at the solstices.
(i) = the tilt of Earth's axis.
(l) is the observer's latitude.

Communication is tricky unless you're talking to yourself... In demonstration of the principle, I obtained estimates of obliquity with the aid of a protractor and holding the World between my hands in my lap (a handful literally). Of course there are values embedded at Giza that endorse several factors. While an angle, unlike a length of line, at any scale remains unchanged, the Globe's meridian segments may have some deficiencies related to the gluing process... Despite the accuracy qualities of an angle, the protractor is flat and the Earth a sphere... we thus have geodetic aspects to consider. 

Clever minds have developed a science where numbers talk, in a language very alien to me, although I can comprehend the principles of it's application. Imagine the instruction manual for Giza... perhaps why they canned it. 
That math exercise, I no can do, awaiting undertaking... (D) = 14 ? (i) = 14 ? (l) = Giza ?
The question: what was obliquity when solstice occurred at 14°  azimuth?
                 <--- • --->

APPENDIX (due to deadline & fatigued mind..)

For the flat Earther, azimuth, a 56 deg. separation when viewed in line with the horizon as well as along it, thus two planes at perpendicular and... involving an element with spherical aspects, that relate to geodesy - one by which to bend one's mind over Earths curvature. Observed spherically, with Earths rotational axis at its present angle of inclination, the Sun ranges 23,5 deg. of latitude N & S of the equator... i.e. 47deg. angle separation - same event, different figures... two vastly different perspectives of observation. The flat perspective can only determine the direction of the equator through observation of the solstices - being located at the midway point. 

For the spherical observer the equator is primary, being midway between the Poles. The amount by which the Sun 'strays' from there, is directly related to the inclination of Earth's axis - balanced at its centre, in the middle of Earth. In the event of a change in Earth's axial inclination... the observable effect by night would involve an alteration of the background sky  with respect to the horizon. By day, the position of the Sun, other than when over the equator, Sunrise and therefore also Sunset points, would register differently... solstice would occur at a lesser or greater angle separation, directly related to obliquity, which implies the latitude reaches, either side of the equator, would escalate or decrease accordingly. The 'tropics' are thus variable. 

What is the significance of 28? Osiris killed by Seth and 14...?>>> Halving the angle separation provides the angle inclination of Earths axis ??? 
The equinox being two instances when Earth's axis is perpendicular to the Sun and thus in alignment with the division line between day and night - accordingly half of the Globe is illuminated and the other in darkness. On equinox, the Sun is over the equator and day & night are of approximately equal duration in the N. & S. hemispheres. Cross quarters points are thus at 14 deg. N & S of E, which is in alignment with the GP causeway and that of G2. 

Do they really communicate anything, in that regard? is there meaning attached to the fact that Giza does not indicate the significance of solstice...? or does it? is there more - what is the significance of the 28 degrees angle formed by the two causeways..? The original name for the GP: "... the Place of Sunrise and Sunset".  The 3rd pyramids causeway aligns with the equinox - its original name: "Divine..." Those two measurements, those two locations of the Sun, are crucial in relation to the obliquity of it's axis...

The Vega pole star datum c.4500 BC predates the 4th Dynasty King by 2 millennia... he turned up late for that shuttle window - crossing over to 'Vegas... and too early for Polaris but he, none-the-less... turns up in a legendary tale: 
Westcar Papyrus c.1650BC... somewhere in between the 4th Dynasty and the priest's accounts to the historians shortly pre Christ era, it could be regarded as an 'oopart' but provides an intriguing account. Khufu’s is on a mission to find a secret chamber - something like Indiana Jones, before incarnating in Zahi Hawass... 
In any event, the location of the secret chamber [ipwt] is postulated to be embedded at the base of the pyramid. Possibly accessed from ground level, via a concealed entrance, behind the Mortuary Temple, in the East face of the GP where it is flanked by the two SolarBoat pits. This being arrived at by journeying along the causeway, which has its source not merely at the Nile but the SOLSTICE... and not just any one but an extremity of Ma'at... 

Separated by the angular distance between when the Sun is over the equator, in harmonious balance, and when at the stand-still come turn-around, at the point on having migrated furthest from the equator, on any of two opposing occasions, remains relative - at 14deg. separation - i.e. 28degrees azimuth separation between N. & S. solstice points... However, both points change, in cohesion and relative the observers location of his observable horizon, in this instance Giza. This being due to Earth's spherical properties. Closely related is Earth's equator, also a fix, so too is it's plane of orbit around the Sun. The obliquity angle of its rotational axis is variable however and this factor is cause for... climate change.
Of course Khufu, a flat Earther, would've been oblivious to these facts, however, the Djedi, his magician... who could 
consume a hundred jugs of beer -- an enviable feat :-) among o.a. equally admirable -- would have made the king wise to such: Giza, as was demonstrated earlier, is locked into the orientation of Earth's rotational axis, which slowly 'wobbles', while Earth's orbital plane remains unperturbed. 
The gyration thus affects the Sun's point of rise on the relative horizon, at azimuth, relative to Giza in this instance. The angle formed by the causeway of G1 & G2 is 14deg. with one aligning with the Sun over the equator and the other when it is at it's solstice extremity - all precessionally relate to the angle of Earth's axis during a certain era. Equinox is the direction of Earths rotation from the center of its axis relative to the Sun, while solstice is the boundary of angular separation, determined by Earths plane of orbit relative to the centre of it's form, one and the same point. 

In the event of Earths rotational axis undergoing a change of its obliquity angle, the plane of Earths rotation (spin), relative to the ecliptic, changes. That implies solstice, involving the orbital plane around the Sun, to vary - closer or further in relation to the Poles and/or the equator. The path of the Sun... its N & S migration on the horizon and altitude, at solstice, ranges in tandem with altered axial obliquity to greater or lesser degrees. ??? solstice always registering half of equinox - at present 23,5 & 47 degrees.

ps. for anyone questioning what the mystery of the pyramids has to do with climate change... obviously, everything: The Orion-Climate-Correlation is not mere theory... it's dinkum truth.

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Subject Views Written By Posted
OCT proponents ALERT 2253 hendrik dirker 17-Mar-16 17:02
Re: OCT proponents ALERT 584 Origyptian 17-Mar-16 19:08
Re: OCT proponents ALERT 491 hendrik dirker 18-Mar-16 11:46
Re: OCT proponents ALERT 506 Laird Scranton 18-Mar-16 04:01
Re: OCT proponents ALERT 481 hendrik dirker 18-Mar-16 13:53
Re: OCT proponents ALERT 503 Spiros 18-Mar-16 13:51
Re: OCT proponents ALERT 577 hendrik dirker 18-Mar-16 18:07
are the pyramids communicating 3D? 770 hendrik dirker 06-Apr-16 20:22
Earth, as a sphere, in synchronization with space 1156 hendrik dirker 08-Apr-16 23:14
calendar date correction 481 hendrik dirker 11-Jul-16 07:39
Re: OCT proponents ALERT 411 Spiros 18-Aug-16 17:30
15th para.. correction 567 hendrik dirker 25-Mar-16 21:26
for N hemisphere star gazers -  523 hendrik dirker 03-Apr-16 20:20

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