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(This is preliminary introduction to a portion of my studies, since completing a PHD titled "Towards a New E.R.A.: Epistemological Resolution Analysis By and Through the Kleinbottle and Transdisciplinary Education. 2006. The body of this research regarding the study and interrogation of both arbitrary and non arbitrary geometrical models, is post doctoral. It has taken many years to come to understand the neccessity for non disclosure, and the dire issues raised in research since 1873.)
 
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The first principles of Astronomy, are based on the topological study of the site, conducted in the broard light of day, using a gnomic indicator (a gnomon is any technological device that is either naturally occurring, or man made, that enables the indication of a signature record).
The first principles of Astronomy, are based on the topological study of the site, conducted in the broard light of day, using a gnomic indicator (a gnomon is any technological device that is either naturally occurring, or man made, that enables the indication of a signature record).
From this primary study, the records of the sun's shadow, traced through space over time, provide the visual mapping of the othographic projection of actual daily and annular cycles.
From this primary study, the records of the sun's shadow, traced through space over time, provide the visual mapping of the othographic projection of actual daily and annular cycles.
[[File:Orthgraphic Projection|thumb|alt=The bicameral/monocameral relation informs our understanding of 3D 2D relations.|Study after Vitruvius]]
[[File:Vitruvian orthographic projection.jpg|thumb|Vitruvian orthographic projection]]
Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night.  
Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night.  
[[File:The relation between the Vitruvian Dial, Ptolemy's Analemma.png|thumb]]
[[File:The relation between the Vitruvian Dial, Ptolemy's Analemma.png|thumb]]

Revision as of 01:36, 28 June 2023

The first principles of Astronomy, are based on the topological study of the site, conducted in the broard light of day, using a gnomic indicator (a gnomon is any technological device that is either naturally occurring, or man made, that enables the indication of a signature record). From this primary study, the records of the sun's shadow, traced through space over time, provide the visual mapping of the othographic projection of actual daily and annular cycles.

Vitruvian orthographic projection

Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night.

From the longest day to the day of equal night which exhibits zero curvature, to the shortest day of the year, the limits of the patterns recorded over the course of around 183 days are realised as a cyclic process shifting backwards and forwards over the same information, informing the projection the annular cycle, resulting a complex set of hyperbolic arcs with postivie negative and zero curvature. From the days of equal night, know as the Equinoxes, our orientation in space, and the latitudinal directions West East is determined. From the Crests of the hyperbolic arcs that define the longest and shortest days of the year, known in temperate regions as the summer and winter solstices, and defined as the registration of the "Zenith" and point at which the Sun is directly above (boreas) the gnomic indicator Noontime, our orientation North South is defined.

Analemma to Cube Cage.jpg

Confirmation of this complex cycle is registered in the observation of the gradual shift in the location of the Sun, observed from the gnomic indicator, to the circle of the horizon. As such the figure of the chevron /\ is equal to the full cycle of the year, and run of chevrons which inform the ancient Egyptian heiroglyph for wave or water: /\/\/\/\/\/\, transliterated as "n" and infers a 6 year period. Additionally, this heiroglyph has a direct relation to the construction of the complex isometric matrix, constructed from the rulings of three lattices, from the basic 2 circle topological model: "( ( ) )" which in being turned 90 degrees, informs the heiroglyph of the "eye" transliterated as "r". Together, the "eye" and the "wave" informs the combinatory heiroglyph that transliterates as Rn, and holds the meaning Name. This heiroglyph has spuriously been regarded as inferring a space ship hovering over the waters, and singularly represents the dire neccessity to bring to light, the very thing that has been -by neccessity- concealed, for the purpose of separating the theoretical facts from the applications, as without this non disclosure, the potential to progress precise knowledge bases is compromised by those who run with inferrences without interrogating the full body of information inherent in the study. Ironically, the considered neccessity for non disclosure has led to numerous speculations regarding the Pythagorean Cube, as if this is the final product constructed from the 2D image of the complex isometric matrix, which flourished throughout the middle ages, and specifically since the intentionally obscurationist work of John Dee, as embodied in his Monas Heiroglyphicus, which brought the Pythagorean Cube, the Pythagorean Quaternary, and the Pythagorean Tetrakys, to the fore as an occult study.

File:Pythagorean Pentad Quaternary and Tetrakys.jpg
The Pythagorean Pentad, Quaternary and Tetrakys

Its non disclosure has also led to the dire issue of all manner of arbitrary models being claimed as the false foundation to Quantum Phenomena, as instantiated by Sophus Lie's intuitive notions pertaining to the 2Dimensional model, and its "string thing" studies.

Evolution involution of a circle, the rhumb line and lies geometry.jpg

Additionally this was returned to by Lissi, which presupposes the lesser object known as the "seed" and "flower of life", which refers to a template employed by neccessity, by the Ancient Egyptians, for the purpose of supporting the more precise ruling of lines in the outer regions of the matrix construction, as it was applied in the act of "rope stretching", for the purpose of underpinning precise foundations for architectural constructions.

Flower of life roll of dice.jpg

Exploitation of this necessary diversion from the original structure, informed the common descent towards corruption, and extreme superstitions held in the social sphere of the greater number, demanding continuous "restorations", that is, returning to the foundational "teachings" informed by the heiroglyph which transliterates as SBA, indicated by the five spoked wheel, which, with a circle circumscribing this structure, transliterated as DUAT, meant underground, or pertaining the utility of this structure as a system of mensuration required for the study of the "night time hours"- duat. From this heroglyph, the spurious notion that the Ancient Egyptians wished to the return to the "stars", is seeded, as the generalised meaning of the five spoked wheel is "star". Alternatively, as indicated by earlier (predynasitc to the first of the dynastic kingdoms) neccessities for restoration, at the time of S-NFR-U, informed by the reponse to the concerns raised by this Pharoah, as recorded in the "prophecy of Nfr-ti", the "return to the foundations of "re", and hence to the primary model of the two circles, and its rulings, pushed to the degree of complexity shown below, and in turn, to the point of informing the construction of 12 hexagon shells, where the horizontal diameter line is divided into 24 equal parts, indicating the measure of 3/24 and 1/8 = 0.125, was enacted. This enactment resulted in the consruction of the first pyramids in Ancient Egypt. the heirglyph for pyramid indicates the 24 degrees, and this structure informs the inner corbelled arch of the body of the construction. The true pyramid inferred the complete reckoning of the complex isometric matrix, as one that resulted in the Rhombic Dodecohedron, whereby the primary structure realised in the 3D construction from the 2D image, was the octahedron, not the cube nor cube cage.

Model 8 star and four axes.jpg

In its direct relation to the complex ruling of the "double" isometric matrix that results, the matrix constructed to the point of informing 6 hexagon shells, the significant relation bewteen the 5th and 6th of 6 hexagon shells, and the 10th and 12th of 12 hexagon shells, informs the relation between the circle of the meridean and the Vitruvian "dial" whereby the description of the circle of the meridean, divided into 15 equal parts, provides intelligible access to the closest aproximation of the Earth's Axial Tilt.

The Ancient Egyptian Geometrical System.jpg

Between the two extremes of the longest and shortest days of the year, and the means -being the two days of equal night, the complete annular cycle is quadrated by these four days. As the Earth is a sphere, rotating on a tilted axis, the experience of seasonal change is determined by the location of the observer. In temperate regions, the longest, equal and shortest days of the year, define the midpoints of the four seasons. In regions closer in proximity to the equator, it is common to experience three phases of the year, as with Ancient Egypt who acknowledge 3 primary seasons, according to the times of planting, harvesting and inundation of the waters of the Nile River.

From this set of hyperbolic arcs, the topologically coherent model of these relations is constructed which enables the shift from that which is visible and intuitively experienced, hence infering that the Sun appears to rise at dawn and set at dusk, in a recuring pattern of hyperbolic arcs, all that is intelligible transcends the intuitive notion, and exposes the counter-intuitive facts of the planets relation to the Sun, which exhibits two complementary standpoints of the one and same system.

As the Ancient Egyptian linguistic code included immaterial phenomena, largely based on the system of mensuration which underpins the relation between the sexigesimal system and the decimal system, informed by the elementary principles of astronomy, and the topological model of the analemma, and "dial", it is considered to be a far more complete foundation than that which is speculated as emergent from Mesopotamia, or Babylon and Chaldea, and inturn related to the Indo-Aryan root, which in turn informs the flourishing of mysticism consolidated in the Slavic nationalistic belief systems. Hence the return to mysticism at the end of the 19th century, through the work of Gurdieff, Ospensky, Blavatsky, Bailey, Leadbeater and Crowley, inspired largely by the work of Frederick Neitzsche and the failure to comprehend the true meaning of the reference to Hyperboreans, from Herotodus and others, regarding the ancient greek term Boreas as meaning from above, being the Zenith of the Sun and the Nootime of the hyperbolic arc, from which the Septentrio, or Septentrionalis which indicates the compass point to the direction of the North, and Meridional South, oriental east and occidental west, informs the orientation determined by the one and same ancient system anchored to the elementary study of Astronomy. From whence the North wind blows, is the common interpretation that has led to spurious notions and the rise of both negative theology, and a host of spurious notions flourished by "sceptics" who appear to retrofit ancient narratives and "scholas" to servie the interests of a paradigm based largely on speculations on Alchemy, leading to forced evolution, transhumanism, and totalitarian control systems.

In extending this study to other regions outside of the constraints of the Ancient Egyptian political system which is based on the one and same geometrical model and its rulings, we find the monumental architecture of Stone Henge, and preceding this, of all 12 spoked wheels and henges of a more simple design, hold the same foundational structure, to which Stone Henge, represents the most complex computer able to be utilised as the means of predicting an annular eclipse.

Study of stone henge and SBA.jpg