... original text starts futher below PERFECT ECLIPSES - SUPPORT PAGES ECLIPSE.HTM - Menu ECLIPSE.TXT - Eclipse text ABSTRACT.TXT - Abstract, intro HOLES.TXT - Jupiter, Saturn eclipses PERFECT.HTM - Solar system gravitic strand GRAVITY.HTM - Gravitic states, gravity from all sides SWITCHER.TXT - Hyper fine distinction switching mode (important) SYMMETRY.TXT - Telescope vrs microscope in focusing mechanics COUPLING.TXT - Spin orbital coupling uniting all of the planets in a Keplerian 4th Law PERFECT ECLIPSES - RELATED PAGES ATOM.TXT - Self induced steady state atom constants RELATIVE.TXT - Interface between special and gravitational relativity INFINITY.HTM - Infinity waves may convert energy to mass and visa versa HYPERWAV.HTM - Orbital segments are also wavelengths which operate amongst certain fundamental elementary particles PERFECT ECLIPSES - SUPPORT SCIENCE FICTION STORIES SURVEYOR.TXT - A surveyor finds Perfect Eclipses by surveying means AMAZING.TXT - A total solar eclipse becomes an 'Amazing co-incidence' event In inner consciousness I can see a detailed simple picture of how prefect eclipses have formed in details along a single axis from sun center out along a line to the outer solar system at least as far as Saturn, in focus windows incorporating solar physical constants in multi-eclipse state formations. If our solar system is formed along a single gravity strand (a gravitic vibration), everything makes sense. Suppose the gravitic strand is there, a more or less straight line made of pure energy (from gravitic seas) one end of the strand well out in deep space beyond the solar system, the other end also well beyond the solar system in the opposite direction heading exactly oppositely away on the same horizon plane vector beyond the opposite side of the Sun, then here is what has been happening.... In mind's eye, speed up the operation of the solar system to super sonic speed, actually, well beyond super sonic, shrink the solar system to a size that will sit on a kitchen table and let all orbits and velocities increase proportionately in synch with the proportionate shrinking of the solar system to kitchen table size. Everything known as planets and moons will now be whizzing around so fast they are more than a blurr their speed will make then invisible, with a stationary Sun sitting at the middle vigorously vibrating in intensely small distances around its point of center. (the sun's center). Telephatic hits (metaphor) occur when the orbiting motions of the bodies hit the gravitic strand. A brief intensification here, again the other side of the Sun, again this side of the Sun, again the other side, repeated ongoing the same telepathic hits striking the strand through time. The moons and planets are occilating in eccentric orbits, so the telepathic hits repeating along the single gravitic strand are spread out into bands, so much width in the strand for Earth orbit encounters, so much for Venus, so much for Mars, all laid out in precise narrow zones of energy interract along the strand. The mazimum zone width along the strand is the orbit of the Earth's Moon, forming a flow tube through the solar system of this diameter. Have coils of force found in energies at right angles out to lengths and states along the strand (it is not an infinitely thin string for instance made of black hole substance, and here, in the broadwidth along the strand are where planet radii sizes and circumpherences are orchestrated, except, initial radii are out of synch with initial segment lengths and so on, not yet fully coherent, not any longer mere chaos. Radii sizes are polar and equatorial. Segment lengths are orbitat distances of planets, and, also, distances between planets. Distances includes orbital length of one planet on one side of the Sun, and the orbital length of another planet on the other side of the Sun. The total distance of one side and the other, through the Sun, can be a segment. We have to assume a force fields interract deeming so much radii in so much lengths, between the strand polar length one end to the other, vrs the other force vectors extending out around the stand's length. A GRAND AVENUE, NO WIDER THAN THE WIDTH OF THE ORBIT OF THE EARTH'S MOON Because mass and motion are involved, relativistic effects are to be expected, really very small almost negleable nevertheless tangible and measured. These effects stand apart from the rest state conditions which generate them. (See Relative.txt for 'interface relativity' details in which the Sun's self induced relativistic effects stand ejected outside of the Sun). (Another manifestation of stand apart reletivistic effects is found in the hydrogen atom where the electron's velocity induces mass increase which stands apart from the electron's mass as exactly the electron's binding energy in the hydrogen atom. Read Atom.txt for details). Sifting and sorting (by only allowed physics principles) of patterns and variables, lead to final sorting out, where chaos is essentially eliminated in the creation of a long length 'flow tube' in which perfect eclipses become focused planet to planet(s) vectored along the length of the gravitic strand straight into the center of the Sun, and on all the way out the other side of the Sun to the other side of the solar system, one string of lined up perfect eclipses congealed like blossoms along a single long gravitic strand made of energy. The factor in the formula formation of size and space (distances apart one large (moon and planet sized particle to another)) is analagous to, if not identical to, mass particle interactive distances in Compton wavelengths at the subatomic level. (Read Hyperwav.htm - theme is 'Hyperwave Estates' and main show is 'The Earth Moon Metaphor For Subatomic Phenomena'. A quick show of important hyperwave links is found in Schemati.htm). Hyperwav.txt toggled off the Eclipse Menu, reveals hyperwaves which recurr in coherent resonances between Compton wavelength states and solar orbits (and distances between one orbit and another), so we know that space itself is being designed by very rigorous principles in both the solar system and the subatomic arena of fundamental particles. Back to our whizzing speeding solar system model whirring away on the kitchen table. If all circular motions were eliminated, and only occilations in an out in orbital eccentricity, was seen, the occilations would be seen laying along a single gravitic strand running the length of the solar system and beyond. (Assume the strand extends beyond the solar system, but to where, is not immediately self evident. No reference points beyond the solar system are suggested in this document.) We at once know some properties of this gravitic strand, if not actually yet knowing enough about it to write pin point absolute equations. We can also assume the strand might continue on to link another star or star(s) or even continue (at least at one end) to some prime central connection somewhere within the galaxy, or beyond to other galaxies. It is possible that strands are very long, and infinity wave strands can be infinite until intgerferred with. (Read 'Infinity.htm' for insights as to what this above paragraph is implying). The statement that 'infinity strands are infinite' is made in simple convenience since so much can be assumed and understood if believing the 'infinity waves' are carries of exchange between mass and energy at the cosmic level and are not merely one time shots in the dark which come and go when a bee (solar body) buzzes an interference pattern through chaotic smoke, think instead the honey bee buzzing through the ray of a laser, the laser continues, source undisturbed regardless of interference patterns being cause by the buzzing bee flying through the coherent ray. If smoke, for instance from someone's puffed cigar ring, the smoke ring will be disturbed and never again recover to original form. Let another word arrive, lazer, instead of laser. Laser means coherent light made of photons. Lazer means coherent vibratory energy fluctuations, such as might be found along a gravitic strand running in a single staight thin line through the cross sectional diameter of the solar ystem's width and beyond. Whaooohh man! if this did not get the gist of how Perfect Eclipses can exist, I do not know if I will ever be able to tell. As it said, I can see the whole thing as plain as day in the mind's eye in inner consciousness. The trouble is words and mentology, what words to use, pyramided upon the english language, so that someone else might get the same picture. As for equations, to tell you the truth, where to start, what to mathematically state. See what I mean, it is all in the mind's eye in inner consciousness where no words or forced mathematical equations based on gerry rigged human schemes of number theory, can at this moment handle the task of communicating. Insight can and does communicate. I hope insight (and intuition - the inner sight that sees the god existence (like nature) in the inner higher realms called Reality) works for you as it has for me. Good Day. Ps. A post addendum. The existence of Perfect Eclipses, and energy field coherent fluctuations throughout cosmic reality, is a small part of a much larger picture which dwells well beyond the limits of the gravity-inertia bound 3rd dimension which most people take to be the whole of the Universe we currently happen to be living in. ------------------------------------------------------- A small file has turned up, dated October 2 1996, reporting perfect eclipses for Mercury. The date would seem accelarated since Mercury perfect eclipse states are enclosed in both the Eclipse.txt and Perfect.txt documents, hovever, the small file does have a few sentences of insight on the Mercury situation. The small file is Mercury.txt. ------------------------------------------------------- PERFECT ECLIPSES PLEASE NOTE: This file is written in pure Dos ASCII text format. To view this document, go to the Dos prompt and type: VIEWER ECLIPSE which loads this ECLIPSE.TXT file in a handy viewer named VIEWER.COM. If you do not have VIEWER.COM, you can download it for free from the ECLIPSE.HTM page on the Internet, at cosmicastronomy.com/eclipse.htm Look for a link for 'download' or 'viewer.com' There you will find the a click to download VIEWER.COM VIEWER.COM is a free shareware that runs higher 'Ascii' characters used in tables and equations in Eclipse.txt. This document has ascii characters. It reads fine at Dos or in any compatable editor but not in Windows. In Windows the ascii characters are substituted by Ansi surrogates such as capital letters, & strange looking symbols. You can read this document if you handle the strange codes since they only surround and do not change any content. The best view of course is in any Dos environment such as an editor, or by using Viewer.com at the Dos prompt. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±± INTRODUCTION TO ±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±±±±± QUANTUM GRAVITY ±±±±±±±±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ What's up ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Picture in mind's eye the Sun in the orbit of Venus, and ask what size of Moon needs to be in Earth's Orbit for that 'Moon' to eclipse the 'Sun' at Venus, when looking (in eclipse fashion) from Earth past the 'Moon' to the orbit of Venus. It turns out that the size of a 'Moon' needed for a Venus 'SUN' eclipse is a body the size of Earth. Not approximately, exactly the size of Earth. In fact, it is a body the polar radius size of Earth when the Sun is in Aphelion orbital position at Venus, and an Earth of equatorial radius size when the Sun is at Venus perihelion orbital position. Intriguing elements in the cosmics of fundamental space, wouldn't you say? More to the point of discovery, picture a total solar eclipse occurred when the Earth is at its Perihelion position in orbit (averaged closer distance to the Sun), and again when Earth is at its Aphelion position in orbit (farthest averaged distance from the Sun). In both positions, have the Moon eclipse the Sun in standard Total Eclipse fashion in right-on kind, in other words, not when a larger Moon eclipses a smaller Sun, or a smaller Moon eclipses a larger Sun wherein some of the Sun rim is seen. The eclipses we need are only those where the Moon and Sun are of exact identical size in right angle overlay projections, when the two bodies are superimposed one over the other precisely, to be exactly of same size, in solar space. Picture the Sun and Moon as being flat disks as if upright targets so that their full cross sectional diameters superimposed, not their side-arm parallexes as is found in space when round bodies are seen superimposed by naked human eyesight. A question asked is: how far does the Moon shift in space farther from Earth to accomodate the two different full flat disk total eclipses, with the Earth at Perihelion, then at Aphelion, in orbit around the Sun. The answer is swift in coming. The shift is actually a very small quantity, in fact hardly a smidge in terms of solar distances. The answer is that the Moon shifts in space by a length equal to, and only to, the diameter of the Earth, no more, no less. The instant this is seen, it becomes apparent that total eclipses are fundamentally NOT co-incidental. The difference between apparant widths and distance between bodies, between flat disk and round body superimposures, is very slight, but has profound physical relevance known here as 'hyper fine distinction', which is discussed further below. EARTH AND VENUS SIZED ECLIPSING BODIES In fact, bodies the exact size of both Earth, and Venus, are accomodated in line of sight along the Moon's orbit to superimposing a body the size of the Sun in the orbit of Venus, specifically in two Venus positions, at the Perhelion, and Aphelion, of the orbit of Venus. The two planetary sized bodies are accomodated simply by a discrete 'quantum' shift in the position of a 'Moon' body being either the size of the Earth, or Venus, superimposing a 'Sun' moved forward metaphysically into the orbit of Venus. The eclipsing body is at, then displaced earthward from the mean of the Moon's orbit, by one, then two intervals equalizing each the size of Venus when Earth is the eclipsing body, and then in displacement three, four, and five intervals earthward when the smaller Venus is the eclipsing body. The 'intervals' are each equivalent to a radius of Venus. Venus is roughly 6% smaller than Earth. How such two different bodies (Earth and Venus) are so accomodated is readily discerned, (as shown in data tables to be found in the form of systematic 'eclipse state' proportions, further below in this disclosure). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ ENERGY STATES WITHOUT INERTIA ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Because we will be dealing with mathematics that are perfect, but involve physical systems that do not empirically exist (the Sun cannot be moved to Venus without seriously disrupting the solar system due to the great gravitational mass of the Sun), the existence of 'perfectly' existing mathematics is justified by assuming we are looking at nothing less then energy states without inertia (gravitational mass is not involved). In this regard, such states in reality can be called 'metaphysical' because they deal with things that are nevertheless 'there' but cannot be seen by merely observing effects that are strictly empirical. (The prior statement is not as confusing as it sounds, as you will later find out and confirm). SCHEMATIC INTRODUCTION The following schematics are not to scale. TOTAL SOLAR ECLIPSES SUN at center of solar system ¿ ³ Ú EARTH at Aphelion of orbit ³ *ÄÄÄÄ*ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ* ÀÄ¿ distance of MOON shift = 1 Earth diameter - yes indeedy *ÄÄÄÄÄÄÄÄÄÄÄ*ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ* À EARTH at Perihelion of orbit ³ ³ Ù 1ST METAPHYSICAL 'PERFECT' ECLIPSES SUN at Venus mean of obit ¿ ³ Ú EARTH sized body backshifted by leap = 1 Venus radius *ÄÄÄÄÄÄÄÄÄ*Ä*ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ* À EARTH À MOON mean of orbit ³ at mean of orbit ³ Ù 2ND METAPHYSICAL 'PERFECT' ECLIPSES SUN at Venus mean of obit ¿ ³ Ú VENUS sized body backshifted by leap = 4 Venus radius *ÄÄÄÄÄÄÄ*ÄÄÄ*ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ* À EARTH À MOON mean of orbit ³ at mean of orbit ³ Ù In the 1st Venus/Sun state, a body the size of the Earth occupies the Moon orbit around Earth. In the 2nd Venus/Sun state, a body the size of Venus occupies the Moon orbit around Earth. Very rudimentary indeed, the above schematics. Nevertheless assume they are mathematically tangible and physically correct, therefore scientific. Belief replacing faith, continue. Later, equations in tables further below, show how the exact oblate size of both the Earth, and Venus, are factored in Perfect Eclipse State proportionate equations. 'Oblate size' means the Polar Radius, and Equatorial Radius, of both planets Venus, and Earth. These are calculations absolutely unheard of in terms of gravitational matrixes for the solar system. And yet they exist. I can hardly scream loud enough to draw attention to them. I found them by pushing the edge of the envelopes to maximum extemes of accuracy and these datas are what resulted, falling out onto the table top. You CANNOT get physics that is better than that. Read on. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ TABLE OF CONTENTS ³ ³ ³ ³ Introduction to quantum gravity ³ ³ ³ ³ - outline and description of states ³ ³ - earth moon venus ³ ³ ³ ³ Appendix A constants (empirical data) ³ ³ Appendix B calculated datas ³ ³ Appendix C optical properties ³ ³ Appendix D mercury states ³ ³ Appendix E mars states ³ ³ Appendix F miscellaneous discussions ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ ³ ³ F-A traditional eclipse geometry ³ ³ F-B statistical reality of states ³ ³ F-C hyper fine distinction review ³ ³ F-D deriving a set of states ³ ³ F-E fastidious accuracy ³ ³ F-F speculations ³ ³ ³ ³ Appendix G summary of quantum states ³ ³ Appendix H tables for the proportions ³ ³ - solar and planetary datas ³ ³ - key terms ³ ³ - fundamental proportions ³ ³ ³ ³ Appendix D Mercury states ³ ³ Appendix E Mars states ³ ³ ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ PROLOGUE ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Quantum gravity in space exists. The quantumness manifests in precise special features associated with certain exact positions in the orbits of several planetary bodies. Specifically, the points of importance, as will be shown later, are the perihelion, aphelion and the mean radius of the orbits. Principles to be examined involve certain precise orbital positions which result in eclipses. When all are mathematically viewed along a single common sightline these positions are shown to be meaningful in an entirely different way. A common sightline used is the solar ecliptic axis, which in mathematics (shown further below) is made to run through the points of centers of all of the bodies involved. The whole picture suggests a form of recurring resonance operating within fields of gravity. In this viewpoint, the planetary orbits of the Earth, Moon, and Venus are calculated, as are the spherical radii size of planets Earth, Venus, Mercury, and the Moon. 16 different potential total eclipses can thus be identified by mathematically moving different bodies into certain common positions and seeing the results directly. In the following, these positions are concidered states, delineated by 1---1--1-1m (negative incremental sum terms), included in 1x1x1x1 proportions of a kind normally associated only with multiplications in gravity. The buzz word is eclipses. All that is needed to observe the states is to get rid of the historical personal point of view of the empirical universe to observe where the quantum gravity is manifesting. Once seen, the manifestations become self evident, raising obvious questions about fundamental theories in modern day physics. The questions are not addressed here. This introduction pursues the manifestations. SECOND PROLOGUE ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ A quantum nature manifests itself as precise features associated with certain planet bodies and their exact positions in orbit. The points of importance are specifically the Perihelion and Aphelion and the Mean position of terran planetary orbits, and the average orbit of the Moon. In this, certain precise orbital positions result in eclipses when everything is viewed mathematically along a single common sightline wherein certain positions in the orbits are shown to be meaningful in an entirely new way. A common sightline runs through the points of center of all of the 5 planetary bodies involved, plus the Sun. The whole picture suggests a form of resonance operating within the formative field of gravity. In this viewpoint the planetary orbits of the Earth, Moon, and Venus are calculated, as are their spherical radii in terms of both Polar and Equatorial sizes. The size of Mercury is also calculated to a precise accuracy. In conjunction, the Sun is shown to be a phantom image which is projected to the orbit of Venus when Perfect Eclipses are viewed from the Moon, with Earth as the eclipsing body. This amazing display of activity is in focus only when full cross sectional diameters of the eclipsing bodies, and the targeted Sun are used. These so-called 'Perfect Eclipses' are empirically not possible in an historical traditional observation, where side arm (tangental) eclipse overlays can see detail only by parallax with the eyeball being unique to the human observer's point of view. THIRD PROLOGUE ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Hyper fine distinction is a way of explicitly pointing out how certain specific radii for planets such as Mars, Earth, Venus, Mercury, and the Moon, can be precisely calculated right down to the finest accuracies known in science for their Polar, Averaged, and Equatorial radii. The radii are learned through sets of discrete changes in positions of these bodies in straight line perspectives overlaying the full diameter of another body, specifically the Sun. The purpose in citing the existence of a description of this amazing display (which sits as a steady state in the middle of the astronomy of solar physics) is that such minute variables occur (such tiny differences in distances exactly equal to the tiny difference in size between the Polar vrs Equatorial radius of a planet) in short term regions of space in the vacinity of the Earth and specificially within the middle region of the Moon's orbit, acting in unison with large solar distances equalling the distances between Earth to Venus, Earth to the Sun, and Earth to Mars, whose solar magnitudes of distance are nothing less than [10 to the power 12 cms], divided by [10 to the power 8 cms]. As you can see, (if you have mathematical understanding), such magnetitudes as these are no less then the magnitudinal difference between the tiny amount of energy it takes to hold an electron in so-called orbit around a proton in a hydrogen atom, compared to the astronomically larger amount of energy contained in the mass of the electron itself. In the case of the solar terran region's gravitational distributions of space in events documented and cited starting immediately below, a far more precise physics in the manifestations of solar gravity can be seen by the simple intuitive act of moving a phantom Sun into metaphyical positions in the orbit of Venus, and seeing if there are any constant acts taking place in such a non-empirical structure. It turns out that there are. Which leads directly to the revealing of and discussion of the nature of 'Hyper Fine Distinction' and how it fundamentally behaves without anomaly or miss-step throughout the solar physics in question. Even more is seen when moving the Phantom Sun out to a metaphysical orbit in the orbit of Mars, and placing a phantom Mars in the orbit of the Moon of Earth, with this Phantom Mars lined up with the phantom Sun in Mars' real orbit. Still more is seen when creating a new metaphysical orbit as a recurring of the Moon of Earth, only this time travelling around venus, and wondering what object has to be in that metaphysical orbit to Perfectly eclipse the Sun in full cross sectional diameters for both bodies in the overlay. It turns out that the only body which can fit in place in such a tight narrow window is Mercury, as it currently exists in Mercury's solar orbit near the Sun, right down to planet Mercury's split level distinctions of Polar, Averaged, and Equatorial radii of Mercury. These incredibly discrete radii are by virtue of 'Hyper Fine Distinction' in Perfect Eclipse equations, the equations themselves everything but fudged, the equations themselves prove the existence of Hyper Fine Distinctions in all of the four inner Terran planets Mercury, Venus, Earth, and Mars. In other words the size of each planet is not from a random selection in some astronomer's accretion disk theory, the sizes are caused by fundamental laws whose nature is not determined per se by the existence of Hyper Fine Distinction, the nature itself merely revealed by the fact that Hyper Fine Distinction exists. And so on.... ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ BASIC PRINCIPLES ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ It would be premature to set forth a set of laws in pithy statements. However there are principles involved, summarized for the time being as follows. Manifestations are verified when predictive, to the extent that knowing one part leads to prediction of other parts. In this regard predictability of groups of states can be self evident. What is evident are a number of precise states occurring in the makeup of the solar system. These states have little to do with the daily gyrations of solar motions, in that the motions cannot be expected to arrive at the same positions as the states. On the other hand, key positions in the motions seem to be due to consequences stemming from constant constructions in the states. The states are in groups which include material and non material images of several well known bodies recurring in more than one place in the inner region of the solar system between Mars and the Sun. The states nevertheless relate to the mobile structure, in view of the fact that the solar orbital segments of the states are exactly where certain of the bodies will be most likely found when their motion is averaged over a long period of time. That is, a planet's perihelion, mean, and aphelion of orbit. The entity segments of the states are already known, these being the existing empirical sizes of the bodies in terms of polar and equatorial radii. To put it simply, distances from the Earth to the Moon and Sun, and to Venus, and also the size of the polar radius and equatorial radius of the Earth, Venus, Mercury etc., can be calculated in detail using simple proportional equations. The same equations construct different states, by changing one or two terms in proportional sums and ratios, and watching the results fall on the table. The proportions factor many sets of eclipse states in the form of constant assemblies at a fundamental level. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ HISTORICAL VIEW ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ This is completely different than traditional gravity consciousness, in which bodies in orbit are scrutinized right to the limit in up to the minute calculations of their solar motions. Fundamental quantum gravity states do not rely on occasional events in time for their existence, as far as portraying the states is concerned. Conservation of symmetry is enclosed in the fundamental statements. With the point of view dramatically reversed, obverse and converse pictures appear perfectly in an otherwise identical set of proportions. The proportions have this self conservation. The clear perception is that nature uses the mathematical center points of manifestations as being significantly distinct from false views gained when standing somewhere as a human on the curved surface of a solid body such as Earth. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ BASIC PERCEPTION ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Historical observers like to see themselves standing on a curved surface peering past edges of gravity manifestations (bodies in a solar eclipse) believing this is it. WRONG! Thinking of the curvature point of view is the human self interest. No question that standing up to the lips in snow on a mountain peak watching a transit through smoky lenses is as real as it gets, empirically. Snow blowing in swirls as observers gets their PHD's. Yet such eclipse is merely a temporal form of manifestation, which has only a co-incidental connection to fundamental reality. Inside a greater reality, numerous eclipse-style superimposures occur in relationships that are basically constant. Even if these might never occur in the realm of temporal coincidences they are nonetheless there. It is possible for some of the relationships to be observable as empirical occurrences if their bodies are transparent rather than solid, in that solid bodies can present only parallax views past curved sides, whereas transparent bodies can present full cross sectional diameters, and it is only in full cross section diameter superimposures that multi-state mixed body eclipse states in fact occur in their most discrete detailings. In fact solid bodies of the empirical Earth to Moon to Sun eclipse structure are transparent in certain wavelengths of the electromagnetic spectrum, so in this regard perfect states can also be coincidentally empirical, in principle, occurring during the solar lifetime, even though such occurrences would be rare. ÖÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ· ÖÄÄÄÄÄÄÊÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÊÄÄÄÄÄ· º º º º º º CLEAR GRAPHIC IMAGES º º º º º º º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ º º º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ In perfect eclipse states, the Earth mean of orbit is a constant point of reference, as is also the center point of the Earth, in conjunction with the center point of the Moon in celestial Moon orbit from the Earth, with regard to the center point of the Sun at the center of the solar manifestation. Entire cross sectional diameters comprise the images. In this more precise frame (absolute figures in superimposure), recurring finite images over absolute large distances actually reside in the hard core of physics. Cross sectional diameters, and mean absolute distances between center points of the objects, are the source. At source levels don't even THINK about orbital tilts, since this is like quibbling over the stand angle caused by large vrs small heels in a pair of shoes. SINGLE LINE AXIS Stretch a shoe lace in a straight line between the center point of the Earth and center of the Sun. Perceive all events along this single straight line. There you will see 1---1--1-1m terms manifesting in 1x1x1x1 proportions. A cross section (ie. cross sectional diameter) is said to be the flat face seen in a disk from its center point at right angles to its circumference, for an object in a direct sightline between an observer and a targeted object's center point. For instance the cross sectional diameter of a soap bubble is the transparent disk seen face on when the soap bubble is cut cleanly in half. With the image of soap bubbles in mind, concider that perfect eclipse states are exactly like bubbles formed within empty space in the solar matrix between us and the Sun. What effects magnetism or charge fields have in the formation or sustaining of the 'bubbles in space' cannot be said in this disclosure but it is felt the influences of such force fields as magnetism and charge have little or no effect. The bubbles are from a far deeper cosmological regime, it is felt. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ BASIC STATES - IN MORE DETAIL ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Take the full cross sectional diameter of the Moon and the full cross sectional diameter of the Sun, and set them apart as targets in a line at certain distances from the Earth. The Moon and Sun are seen as flat disks stationed in a row behind one another. From the Earth's center point at mean of orbit, through the center of the Moon in orbit, to the center of the Sun, tells you nothing. Now move the Earth's center point exactly to Earth's perihelion of orbit (close to Sun) and aphelion of orbit (far from Sun) and this tells you everything. Because, in order for the Moon to maintain a perfect cross sectional diameter superimposure of the Sun, the Moon shifts not something like - but in whole increments exactly the equal of - the Earth's radius, in accommodating the superimposures perfectly. Perfectly means not to within one or two significant digits, but ALL significant digits of: the Earth's present day known size, length of orbit, the Moon's size, length of orbit, and the present day physical size of the Sun. This means to 6 and more significant figures in accuracy - the finest possible - with the best known datas in astronomy today - with no deviations - using a few equations in mechanical trigonometry images to write the relations - entirely outside the realms of Newtonian gravity. How this works will be shown below. Why quibble here. If you disagree, leave the mansion and discredit the supreme creators to the best of your ability to people who haven't the slightest idea of what you are taking about. Or take a moment. Cast your concentration toward the facts. Let a moment pass where the information sinks in. Read on. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ BASIC SYMMETRY ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ It continues in obverse. Expecting an appositively balanced symmetry, position the center point of the Moon at Earth's mean of orbit, (simply switch the Earth-Moon positions). With you perceptually now at the center of the Moon without having moved yourself by even one iota, look past the Earth, and there somewhere in space will have to be an image of the Sun superimposed (via cross sectional diameters) by the Earth. Erecting another mathematical Sun is possible of course, especially in toy physics, even though this other Sun will be a massless image of Sun-size only. Such a massless image is an illusion unless it somehow has significant properties. In this case the massless Sun is definitely significant. So much so that it has the impact of a 'virtual' re-appearance of the real Sun, created not by a human's toy physics but by first cause. Specifically, where will this 'virtual' Sun image have to be in order to be superimposed? Zoomed right into the orbit of Venus of course, perfectly focused in three locations there (are you ready): at Venus' perihelion, mean, and aphelion of orbit. At these, and only these, three positions for the Sun at Venus, the Earth in the orbit of the Moon shifts by exact amounts featuring exact different radii of bodies to accomodate superimposure with the Sun at Venus. Not approximately there, bang on target, the Sun can only be in those three positions at Venus notwithstanding the fact that Venus has the smallest orbital eccentricity in the solar system. Lets make the existence of this accord abundantly clear. With Venus substituted instead of Earth, (an image of Venus standing forward in the Moon's orbit instead of the Earth), where will a mirage Sun appear now? At Venus again, once again in precise cross sectional assemblies homed right in as targets at Venus perihelion, mean, and aphelion of orbit. The difference between these two obverse views, is that the Earth as surrogate Moon shifts Earthward along a sightline in the Moon's orbit by 1--1-1 1m (as in 0, 1, and 2) whole integer units each equal to the radius of Venus. Whereas, the hotwired Venus migrated to the Moon's orbit shifts in focus by increments of 1-----1----1---1m (as in 3, 4, and 5) whole integer units of Venus' radius, as the metaphysical Sun is shifted from Venus apehlion, to mean, to perihelion positions at the Venus orbital distance from Earth. Both the Earth and Venus focal objects shift by incremental units in a lineal series extending through a total range of 0 to -5 intervals (each interval equal to a whole integer of Venus' radius), along the same sightline in the orbit of the Moon, beginning at the Moon's mean of orbit, progressing inward toward the observer. The (-) term means to indicate a shift from the Moon's mean of orbit inward toward the observer along a shortening sightline by increments of -1 per shift. Very effective. The series embodies two discrete sets, (0 to -2) and (-3 to -5). EXAMPLE 1 Consider an instance in more detail. With Earth standing forward and you looking through it at the zoomed Sun at Venus, the Earth will be in a position just on the inside of the Moon's mean of orbit when the image of the Sun is at the mean of Venus' orbit, and is completely superimposed. With the Sun image shifted to Venus' perihelion of orbit, the Earth shifts outward (in this case precisely to the Moon's mean of orbit), moving by a nudge which is precisely equivalent to the radius of venus, to keep the Sun covered. When the Sun is moved in the other direction (to Venus aphelion), the Earth shifts inward instead, by a nudge again equal precisely to the radius of Venus. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ BASIC UNIFORMITY ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In a quick review, Earth and Venus are both focal objects standing forward as moon's from Earth's mean of orbit. Both locate in discrete positions in a harmonic strand beaded along the Moon's physical orbit in a direct sightline of such perfection that both bodies superimpose a 'virtual' Sun zoomed into the orbit of Venus. (If wishing to be technical, the Moon does not have to be at the Earth's mean of orbit. Only the observer has to be there, with the Earth and migrated Venus images in the form of transparent bubbles standing forward as new moons (at Moon mean of orbit length) from the data point of Earth's mean of orbit). SUCH MAJOR STRUCTURES HAVE THE PROPERTIES OF MECHANICAL OPTICAL FORMATIONS. It is worth mentioning that the two groups of obverse states, (the incrementals of Venus size in the focal lengths along the Moon orbit sightline), increase linearly while lengths to the targeted Sun systematically decrease. This is because the distance between Earth mean of orbit to Venus' orbital aphelion, happens to be less than to Venus' perihelion of orbit. There are three eclipse groups now outlined. In each group the focal object for each state falls on the inside of the Moon's mean of orbit toward the observer, except for one Earth-Earth-Venus state where the focal object falls right at the mean of the Moon's orbit, as illustrated in EXAMPLE 1 above. EXAMPLE 1 SCHEMATIC SUN at Venus perihelion of obit ¿ ³ Ú EARTH sized body sits right at Moon's mean of orbit *ÄÄÄÄÄÄÄÄÄÄÄ*ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ* À EARTH À MOON mean of orbit ³ observer at Earth mean of orbit Ù ³ SUN at Venus mean of obit Ú EARTH sized body shifts earthward ¿ ³ by increment = 1 venus radius ³ *ÄÄÄÄÄÄÄÄÄ*Ä*ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ* À EARTH À MOON mean of orbit ³ observer at Earth mean of orbit Ù ³ Individual counts in the Moon orbit can be said to typically begin with an initial interval between the Moon's mean of orbit, earthward to the first place of focus. THE MORE FAMILIAR EARTH-MOON-SUN ASSEMBLY In the instance of the empirically found (Earth-Moon-Sun) assembly there is an extra term in the proportions. An increment equal to the Moon's radius subtracts as a unit from the Earth's radius in the initial interval from the Moon's mean of orbit, earthward to the first place of focus of the Moon. This is a very small displacement but yet absolutely precise and unmistakable in perfect eclipse states. This is the same as adding the Moon radius upon the Moon's mean of orbit, then subtracting the Earth radius. The empirical Moon itself is thus in a precise and existing non-coincidental fundamental place anyway. THE MOON'S MEAN OF ORBIT IS A FUNDAMENTAL CONSTANT As already said, the incremental accounts for all of the states are inherently all relative to the Moon's mean of orbit. The states in which the Moon's mean of orbit are each delineated stemming from the Moon's orbital mean as a structural basic constant, are described in detail in the tables of APPENDIX H. Meanwhile, certain other quantum properties are addressed in the following: The inherency regarding the Moon's mean of orbit as a referencing constant is seen in the following way: without the Moon's mean of orbit, two equal terms are incremented per each group of states. With the Moon's mean of orbit there are three equal terms comprising each group's increments. Th Moon mean of orbit aspect is the 1m term included in the following table. TABLE ONE OBVERSE OBVERSE PHYSICAL venus earth moon focal objects 3 2 1 3 2 1 3 2 1 terms 1-----1----1---1m 1--1-1 1m 1---1--1-+1m INCREMENTAL UNITS 5 4 3 2 1 0 3 2 1 counts venus venus earth equivalent radii shift along Moon orbit sightline ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ obverse incremental series (Physical datas for the above states, are given below in full, in Table 1 of APPENDIX H). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ BASIC MODELING ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ To help clarify the picture in another way, let m be the Moon mean of orbit, let P be Earth perihelion of orbit, let M be Earth mean of orbit, and let A be Earth aphelion of orbit. For the Earth-Moon-Sun physical system, the count can be shown as A---M--(P-+m) for instance, where the + term is an addition of the Moon's radius, equivalent to a subtraction of the Moon's radius in the interval to the first state's place of focus. Items P M and A denote the center of the Moon's actual position in moon orbit, as relative to the Earth's planet centerpoint positioned at perihelion, mean, and aphelion of orbit. Terms M-- and A--- increment upon term (P-+m). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ HYPER FINE DISTINCTION ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ The (-) terms per each group of states are basically identical per each assembly shown in TABLE ONE above. In the assemblies the (-) term represents a particular radius. For instance in the (Earth-Moon-Sun) assembly each (-) along the sightline is a small shift equal in length to a radius of the Earth. In the (Earth-Earth-Venus assembly each (-) is a radius of Venus. And in the (Earth-Venu-Venus assembly each (-) is also a radius of Venus. However per each assembled group of states there is another subtle remarkable distinction. This is a hyper fine distinction, being a respective focal entity's polar vrs equatorial radii, since the states occur at ultimate accuracy, in exact fits. For example in hyper fine bubbles in the case of the Earth-Moon-Sun structure, 1 unit of the Earth's EQUATORIAL radius (less 1 Moon radius) fits the shift from the Moon mean of orbit to the first lensing position (where an EQUATORIAL sized Moon is in focus), and 3 units of the Earth's POLAR radius (less 1 Moon radius) fits the interval from the Moon's mean of orbit to the third lensing position (where a POLAR sized Moon is in focus). The general shift of the Moon with the Earth at perihelion, then aphelion positions, is equivalent to one averaged diameter of the Earth. The basic shift is constrained exactly to the Earth's physical size. It is impossible for these states to be co-incidental. The same is true for the hotwired Venus looming as a Moon in the Moon's orbit. The whole of Venus equivalent shifts as incremental units in the Moon orbit for the obverse structures, is at exactly two averaged diameters of Venus. To wit: two spheres in contact side by side have five points of reference along the center axis (left rim, centerpoint, two rims in contact, centerpoint, and right rim). (However, in actual eclipse assemblies, the centerpoints will be camshafted ever so slightly by bias to the polar radius side of each rim). As already indicated, rigorous rules are in evidence which include the obverse Earth-Venus-Venus and Earth-Earth-Venus assemblies. Two entities the size of Venus are formed as bubbles in space along the axis of the orbit of the Moon, and so define the perfect shifting of focal entities a the zoomed magnified Sun image shifts between Venus' perihelion, mean, and aphelion of orbit. Regards the Earth-Moon-Sun physical system, you can drop the Earth like a stone in the orbit of the Moon and see in an instant how much the Moon formally shifts in general eclipses. The answer is simple: the total movement of the Moon is EQUAL TO THE EARTH'S DIAMETER. Make the Earth dropped in place transparent like a bubble not solid as a stone so you can see the interspace causalities at work. The rim facing Sunward marks the center point position of the Moon with the Earth at aphelion of orbit, and the rim facing Earth marks the Moon's center point position with the Earth at perihelion of orbit. (In the empirical outer world of physics stamped in iron, the total shift of the Moon is marginally larger than the Earth diameter, since the Earth can sling slightly beyond the perihelion or aphelion of orbit per given revolution around the Sun). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ REVERSAL in hyper fine distinctions ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Hyper fine distinction is sustained in all views including the obverse, where a hyper fineness is conserved in principle, although found in a 'reversal' mode of behavior in the obverse. For instance in EXAMPLE 1 shown further above, with the Sun image located at Venus perihelion of orbit, an Earth bubble of POLAR radius size fits at the Moon's mean of orbit. In this group's third state, with the Sun image located at Venus' aphelion of orbit (the shorter distance between Earth and Venus planet orbits), an Earth bubble the size of the earth's EQUATORIAL radius is found shifted along the Moon orbit sightline toward the Earth's mean of orbit, by two increments equal to the size of Venus' EQUATORIAL radius. This property is in 'reversal' to the physical Earth-Moon-Sun hyper fine distinctions. (These facts are fully shown in the terms of TABLES 1, 2, and 3 of APPENDIX H). In the obverse states, 'reversal' is in all ways upheld. The LONGER orbit segment between the mean of Earth's orbit to Venus perihelion corresponds to POLAR radii in both focal entity size and outward shifts in the focal entity's position. This is not surprising. In the case of Earth perihelion relative to the Sun at solar center, Earth perihelion is the shortest distance. In the case of sightlining between Earth to Venus, Venus perihelion is the longer distance between Earth to the Venus orbit. In review, in the physical Earth-Moon-Sun assembly, the LONGER orbit segment between the aphelion position of the Earth and the Sun, corresponds to EQUATORIAL radii in both focal entity size and incremental shifts along the sightline. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ MORE BASIC MODEL ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ A significant feature is that such perfect eclipse images can all be perceived at once in freeze frame along a single sightline. Yet no matter how perceived, they are whole sound and perfectly molded. Every part is no less accurate than to the nth degree. It intuitively explains why solar eclipses occur in the first place - not as an amazing act coincidence by a profound quirk of nature - but by fundamental principles in the solar structure of space itself. The Earth to Moon to Sun empirical eclipse is patterned directly upon the Earth-Moon-Sun quantum bubble state assemblies. The overall vision is an elegant display of recurring transparent images of Moon and planetary sizes in fundamental lensing with the Sun at many discrete distances apart in terms of different orbits and lengths of separation. In this, along a direct line of sight through center points along the Moon's orbit, there exists a multiplicity of disks (or, if you like, transparant bubbles) of different cross sectional face sizes which overlay a real and 'virtual' target Sun appearing at different long distances. All of the distances apart, and the sizes of intervening entities, are current empirical constants found in the tables of Planetary Data for this solar system. There is no exception. The fact of more than one kind of disk in more than one co-existing eclipse state in the same narrow lensing region in space are the revelation. Not the slow daily motions, or the surface curves, or the masses, or the velocities. In this more fundamental look through straight line space, the gravitational constant is not required to understand that the states exist. Why the states exist is another understanding beyond the scope of this disclosure and no ideas are being put forward in this text as to why the states are there to begin with. (In parameterizing a solar eclipse happening right now all you need is trigonometry to calculate angles and apparent sizes. To tell where the bodies will be five days from now requires the gravitational constant, as the determinant for present place and time). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´ CONCLUSIONS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Count the number of things annunciated and compare them as coincidental. Are these astronomical odds for mere chances? No odds at all for principles in reality. Quantum gravity exists, demonstrative in a way which has been sitting here all along right in plain view. It is only the human self interest which has kept the race in the dark, seeing the universe created according to images of the historical human point of view, where curved surfaces and the location of the pair of feet, are considered the bottom line in the observer's philosophy in trying to understand eclipses. On the curve is where humans have always stood to look past curved sides to see the awesome event of a total eclipse. Move to international perspective and see the solar system in terms of what is fundamentally here, manifesting in concurrent planes of existence. As to whether the transparent massless entities in the obverse assemblies are 'virtual' (other than the Earth-Moon-Sun assembly) is a moot point. The elegance is in the clear cut images outlining fabrics in space where an interplanetary system of eclipse states is in holographic display alive and well in the universe. No discovery has taken place when it comes to awareness about reality. You can think of these as perceiving what exists. The geometry itself cannot be more obvious. Picture a long thin isosceles triangle. The base is the Sun. The end point is the observer. A narrow cross cut near the end point. The cut is where the lens objects locate. Include transparent spheres, and the triangles become cones, which outline pure gravity artifacts that conform to functional optical mechanics in their behavior. The whole of the quantum gravity eclipse system suggests original formation to very tight tolerances by vigorous pre-existing matrix or blueprint, rather than by whimsical attractions that have happened strickly by chance in an arbitrary accretion disk. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ COMMENTS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Radii terms in the proportional equations for the states converge from vague to exact result. Hence accuracy is paramount. This is because figures are being added and subtracted at key significant digits, scaled as follows: 1.49597927 planet orbit scale 1 x 10 to power 13 cms .oo384401 moon orbit scale 1 x 10 to power 10 cms .oooo6378164 planet scale 1 x 10 to power 8 cms ÄÄÄÄÄÄÄÄÄÄÄÄÄ APPENDIX B (further below) summarizes the calculations. The datas of APPENDIX B were factored to 13 significant digits. Anything less than 10 significant digits will produce unreliable results. 8 significant digits for the calculations will produce results that are meaningless. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ ACCURACY ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Floating point decimals were used (and not scientific notations) to most easily gain full use of the accuracy. Terms were entered scaled as follows: 1495.97927ooo planet orbit scale 3.84401ooo moon orbit scale .o6378164 planet scale Final planet radii were extracted by multiplying .oXXXXXXX by 1000, and subtracting the two whole numbers, leaving the decimals. Some of the final decimals are random for the radii. However the technique outlined in the previous paragraph makes it possible to arrive at the same values each time the calculations are done, accurate to 13 places of decimal. In fact, full accuracy is used for all input datas in the eclipse proportions being shown herein, so that the same output value results each time in calculating a proportion. Otherwise, the outputs can tend to bounce around by very tiny amounts in a subtlety confusing way. RE-INTERATION USED TO FINALIZE A MATHEMATICAL RESULT The equations used for APPENDIX B are fastidious. Accurate determination is most difficult without a first step to center a vague value into a converging result. Only two re-iterations are needed, in that the convergences home in toward exact (stable) values rather quickly, in just two steps. These two steps are listed as Pro Tem (initial result) and Re-iterated (final result) in APPENDIX B, shown in TABLES 1) and 2) below. What is realized is that only certain values work for the proportions, these values factually matching those measured as the empirical solar physical constants. Values for Venus were independently factored first in TABLE 2-1, and then inserted in another set of proportions to factor the values for the Earth radii in TABLE 3-1. The Moon's mean of orbit for TABLE 3-1 is adjusted slightly uphill, determined as MO+ in TABLE 3-2. ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Empirical datas used in this 'Introduction to Quantum gravity' are taken from comprehensive planetary data tables found at the back of the following reference: UNIVERSE by Don Dixon, Houghton Mifflin Co., Boston, 1981 These datas were the most comprehensive up-to-the-minute planetary datas and solar physical constants on hand at the Jet Propulsion Laboratory (JPL) at that time, accuracy being most important to JPL at that time for tracking and navigating satellites out past Jupiter, Saturn, and on the Uranus and Neptune. ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±±±±± APPENDIX A ±±±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±±±±±± TABLE OF DATAS ±±±±±±±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ Empirical Datas from Planetary Data Tables ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ 1 astronomical unit (AU) 1.49597927 x 10 to the power 13 cms SUN radius .oo696265 MOON mean of orbit .oo384401 Equatorial .oooo1738 9 MOON radius Averaged .oooo1738 35 Polar .oooo1737 8 Equatorial .oooo6050 VENUS radius Averaged .oooo6045 Polar .oooo6040 Equatorial .oooo6378 164 EARTH radius Averaged .oooo6367 4715 Polar .oooo6356 779 AU value Aphelion 1.5209 9503 5oo .983278 EARTH orbit Mean 1.4959 7927 ooo 1.000000 Perihelion 1.4709 6350 4oo 1.016722 Aphelion 1.0894 3343 956 .718423 VENUS orbit Mean 1.0820 8967 732 .723332 Perihelion 1.0747 4591 509 .728241 EARTH mean is Eo Value x 10 to 13 cm Eo - Va aphelion .4065 4583 0436 EARTH - VENUS orbital differences Eo - Vm mean .4138 8959 2672 Eo - Vp perihelion .4212 3335 4909 ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±±±±± APPENDIX B ±±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±±±±±±±± PROPORTIONS ±±±±±±±±±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ TERMS USED SunR Sun radius EQ AV P Radius = EQuatorial, AVeraged, Polar (AVeraged is 1/2 the sum of EQ plus P) MO Moon mean of orbit EA EO EP Earth Aphelion, Mean, Perihelion of orbit VA VO VP Venus Aphelion, Mean, Perihelion of orbit ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ PROPORTIONATE EQUATIONS FOR QUANTUM GRAVITY STATES ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ Summary of the proportions ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ EARTH-MOON-SUN from TABLE 1 of APPENDIX H ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Incremental terms Hyperfine Distinction is Uniform throughout. Physical Empirical solar embodiment. TABLE 1-1 FOCAL LENS CROSS SECTION MO - 1 Earth EQ + 1 Moon EQ Largest radii ÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Moon EQ (MOON equatorial radius) EA ... Longest orbital MO - 2 Earth AV + 1 Moon AV ÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Moon AV (MOON average radius) EO MO - 3 Earth P + 1 Moon P ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Moon P (MOON polar radius) EP ... Shortest orbital ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ EARTH-VENUS-VENUS from TABLE 2 of APPENDIX H ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Incremental terms Hyperfine Distinction is reversed. Obverse Metaphysical. TABLE 2-1 FOCAL LENS CROSS SECTION MO - 5 Venus EQ Largest radii ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Venus EQ (VENUS equatorial radius) EO - VA ... Shortest orbital MO - 4 Venus AV ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Venus AV (VENUS average radius) EO - VO MO - 3 Venus P ÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Venus P (VENUS polar radius) EO - VP ... Longest orbital ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ EARTH-EARTH-VENUS from TABLE 3 of APPENDIX H ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Incremental terms Hyperfine Distinction is reversed. Obverse Metaphysical. TABLE 3-1 FOCAL LENS CROSS SECTION MO+ - 2 Venus EQ Largest radii ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth EQ (EARTH equatorial radius) EO - VA ... Shortest orbital MO+ - 1 Venus AV ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth AV (EARTH average radius) EO - VO MO+ - 0 Venus P ÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth P (EARTH polar radius) EO - VP ... Longest orbital ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ DATAS DETERMINED BY QUANTUM GRAVITY STATES ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In the preceding proportionate equations (TABLES 3-1 to 3-3), an entity's empirical oblate radius is used to calculate a resulting initial (Pro Tem) radius per each state. The Pro Tem radius is substituted back into its proportion, to calculate the Re-iterated radii. The oblate radius ('Focal lens cross sections') which results from each calculation is tabled next as Pro Tem and Re-iterated. Pro Tem (initial) Re-iterated 1) TABLE 1-A 2) TABLE 1-B Equatorial .oooo1738 4330588 .oooo1738 4309213 MOON radius Averaged .oooo1737 9145864 .oooo1737 9125599 Polar .oooo1737 4797042 .oooo1737 4781881 1) TABLE 2-A 2) TABLE 2-B Equatorial .oooo6064 531730 .oooo6064 005655 VENUS radius Averaged .oooo6059 474645 .oooo6058 837096 Polar .oooo6053 835707 .oooo6053 645504 1) TABLE 3-A 2) TABLE 3-B Equatorial .oooo6378 7254781 .oooo6378 7254781 EARTH radius Averaged .oooo6367 6444857 .oooo6367 6444857 Polar .oooo6356 779oooo .oooo6356 779oooo Earth Re-iterated result are the same as Pro Tem. For comment see 'Notes on Tables 3-A and 3-B' (below). For the MO+ term used in TABLE 3-1, see TABLE 3-2 (below). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ RE-ITERATIONS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ The re-iterated values listed immediately above were gained by a two step derivation: 1 Initial input datas to determine the Pro Tem values of the TABLES above labelled 1) are originals from the 'Empirical Datas from Planetary Data Tables' listed above in APPENDIX A. The empirical values are used in each of the the proportions, yielding Pro Tem TABLES 1-A, 2-A, and 3-A. 2 Input datas to determine the Re-iterated radii in the TABLES labelled 2), are the Pro Tem (initial) values substituted back into the proportions. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ Notes on TABLES 3-A and 3-B ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In determining the Earth radii of TABLES 3-A and 3-B, Venus 'Focal Lens Cross Section' radii are independently determined to Re-iterated accuracy using the proportions of TABLE 2-1. The Re-iterated values of Venus radii are then used in TABLE 3-1, to produce the results for Earth 'Focal Lens Cross Section' radii listed in TABLES 3-A and 3-B. It is interesting that the terms of one set of eclipses (Venus states) are used as terms in the other set of eclipses (Earth states). In effect, no re-iteration takes place in the proportions of TABLE 3-1, because the venus radii terms used are already stable re-iterated terms taken from TABLE 2-B. So, the Pro Tem results in TABLE 3-A and Re-iterated results in TABLE 3-B are identical. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ Notes on TABLE 3-1 ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ For TABLE 3-1 Control term .oooo6356 779 (the Earth empirical polar radius) has been used to extract a slightly higher MO+ value for the Moon's mean of orbit, from which the Earth averaged and Earth equatorial radii were then factored. This derivation is provided in TABLE 3-2 next. A discussion regards MO+ is found under 'Fastidious Accuracy' in APPENDIX F. ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ TABLE 3-2 CALCULATING A VALUE FOR MO+ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Moon mean of orbit becomes MO+ = .oo3845 7876 5927 To factor MO+ EO - VP .oooo6356 779 ÄÄÄÄÄÄÄÄ x Earth P = MO+ .oo3845 7876 5927 SunR earth empirical polar radius ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ The subject of an MO+ mean of Moon orbit term is discussed in more depth under 'Fastidious Accuracy' and 'Non systematic Fastidious range' in Appendix F. If the empirical equatorial radius of cloud covered Venus is actually about .08% higher than the current measured value, an MO+ term is not needed in the proportions of TABLE 3-1, and therefore MO+ is not valid. ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ QUICK COMPARISONS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ From empirical data tables Re-iterated listed in APPENDIX H Equatorial .oooo1738 9 .oooo1738 4309213 MOON radius Averaged .oooo1738 35 .oooo1737 9125599 Polar .oooo1737 8 .oooo1737 4781881 Equatorial .oooo6050 .oooo6064 005655 VENUS radius Averaged .oooo6045 .oooo6058 837096 Polar .oooo6040 .oooo6053 645504 Equatorial .oooo6378 164 .oooo6378 7254781 EARTH radius Averaged .oooo6367 4715 .oooo6367 6444857 Polar .oooo6356 779 .oooo6356 779oooo ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±±±±± APPENDIX C ±±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±±±± OPTICAL PROPERTIES ±±±±±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ OPTICAL ARTIFACTS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Although the proportions of APPENDIX B factor solar planetary datas in elegant detail, they are no more advanced than calculations for: observer, length to focal lens plus focal lens cross section size, and length to target plus target cross section size. These comprise the embodiments of ordinary optical instruments such as a telescope, binoculars, and microscope, with the exception that the focal lens itself discretely changes size when moved through different focal lengths. TABLE 1-1 (for the Earth-Moon-Sun physical structure) obeys optical principles in which the observer moves, the focal lens moves, and the target is stationary. TABLE 2-1 (for the Earth-Venus-Venus obverse structure) obeys optical principles in which the observer is stationary, the focal lens moves, and the target moves. TABLE 3-1 (for the Earth-Earth-Venus obverse structure) obeys optical principles in which the observer is stationary, the focal lens moves, and the target moves. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ ELECTROMAGNETIC AND GRAVITATIONAL PROPERTY TIE-IN ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ There is an obvious tie-in between electromagnetic and gravitational forces, at least at this level of behavior, where artifacts of light are clearly constructed in images of gravity. Anything said beyond this remark could be more or less conjectural at this time. So nothing here is added, other than in asserting that optical law and fundamental gravity share such identical behavior in principle. An extra non standard optical parameter is learned, where the focal lens itself changes size discretely when moved. It is worth noting that the progression in changes of lens size are in a completely reversed mode for the obverse states of TABLES 2-1 and 3-1. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±±± APPENDIX D ±±±±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±±±± MERCURY STATES ±±±±±±±±±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ Information for APPENDIX D has not been cited elsewhere. In the above, three groups of quantum eclipse states have been described. These have incremental terms summarized as follows: 1-----1----1---1m (Earth-Venus-Venus) obverse structure. 5 4 3 VENUS radii increments 1---1--1-+1m (Earth-Moon-Sun) physical structure. 3 2 1 EARTH radii increments, with a unit of the Moon's radius included 1--1-1 1MO+ (Earth-Earth-Venus) obverse structure. 2 1 0 VENUS radii increments, with a slightly larger term for the Moon's mean of orbit (determined as MO+ in TABLE 3-2 of APPENDIX B) There is obviously a 1----1---1--1m series missing (a 4th series). 4 3 2 This 4th series exists. It is found in a different place. Transpose the Moon orbit to Venus (the Moon is now pictured as orbiting Venus). Look along a direct sightline from Venus' perihelion, mean, and aphelion of orbit, to the Sun at the center of the solar system. A focal object sitting in the vicinity of the Moon's mean of orbit as extended from Venus will clearly have to be a particular size in order to superimpose the full diameter of the Sun as perceived from the three key positions of Venus' orbit. The focal entity will have to be a little less than 1/3 larger than the Moon, since Venus' orbit is a little less than 1/3 closer to the Sun. Further, to have any fundamental meaning the focal object will have to relate to something important (such as the Moon's orbit) in some obvious way. Will this focal object be of some known size? And will its shifts between lensing positions be of recognizable importance? The answers are yes. There is a surrogate Moon. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ MERCURY ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÙ This surrogate Moon is the size of Mercury, exactly. This surprising focal lens is not approximate. It is exactly a perfect clone of Mercury sitting there, albeit massless and transparent. The clone is incremented along the Moon orbit sightline in whole integer units equal to Mercury's radius, calibrated inward beginning at the Moon's mean of orbit. As just said, in this remarkable image the size of the incremental shifts are precisely Mercury equivalent, being whole unit multiples of Mercury's radius in a count of 1----1---1--1m (as in 2, 3, and 4) increments along the Moon orbit sightline. This Venus-Mercury-Sun assembly is the missing 4th group of states. Its manner is not original. It parallels the construction of the Earth-Venus-Venus assembly where Venus physicality is in both focal object and incremental shift. Here in the Venus to Sun assembly, a Mercury lens is perfectly formed in both focal object size and incremental shift, as the 4th quantum gravity eclipse series. The Mercury quantal assembly statement is: 1----1---1--+1m 4 3 2 An extra Moon radius term (as seen already in the 1---1--1-+1m sequence for the Earth-Moon-Sun structure) is also found in this Venus-Mercury-Sun structure. That is, that the Moon's radius adds upon the Moon's mean of orbit. Then from the outer position the migrated Mercury shifts inward toward Venus in key lensing positions by whole increments equal to Mercury's radius. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ REVERSAL is conserved ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In visual effect, the Earth-Moon (parent-lunar) blueprint recurs in the orbit of Venus, with Mercury substituted for the Moon. Everything follows as usual. This second (parent-lunar) assembly at Venus operates in the same mechanical manner as the Earth-Moon-Sun assembly. Except the property of 'reversal' is included in this other precise gravitational mirage. The hyper fine distinction of the terms are reversed, as follows: As with the Earth-Earth-Venus and Earth-Venus-Venus assemblies, in the Venus-Mercury-Sun assemblies a longer distance to the target is met by a polar radius size for the lens object and in the fewer incremental displacements from the Moon's mean of orbit. Whereas the shorter distance between observer and target is met by an equatorial radius size in the lens object and in the higher incremental displacements inward from the Moon's mean of orbit. This is shown in TABLE 4-1 next below. (Tables 4-3 and 4-4 of of Discussion F-C of APPENDIX F, show that 'reversal' is locked in by tight constraints in the solar measures. Ie., as shown in an example, reversal can unravel, given an extremely minor change in the position and size of Mercury, for instance). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ NOTE regarding Mercury's oblateness ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In present day Planetary Data tables, an oblateness for Mercury is not known. Cited is that Mercury's polar radius is indistinguishable from the equatorial radius. A minute oblateness is upheld in the images delineated in TABLE 4-2 (below) for Mercury's size. That is, the spread determined between Mercury's polar vrs equatorial radius is over 33 times less than between the Earth's polar vrs equatorial radius. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ NOTE regarding Mercury's calculations ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ As listed in TABLE 4-1 below, Merc est. is the known Mercury equatorial radius .oooo2439 x 10 to the 13th cms. Merc est. was used for all three states in an initial calculation to yield the Pro Tem results listed in TABLE 4-2 below. The Pro Tem results were then substituted back into the proportions of TABLE 4-1 to yield the Re-iterated values listed in TABLE 4-2. The known equatorial radius of the Moon (.oooo17389) can be used for the added Moon radius term, since differences between the Moon's equatorial vrs polar radius are too slight to make much difference in the final re-iterations, (although a Moon POLAR radius associated with a Mercury POLAR radius for instance, favors the bias, in keeping with hyper fine distinction). ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ VENUS-MERCURY-SUN from TABLE 4 of APPENDIX H ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Incremental terms Hyperfine Distinction is reversed. Obverse Metaphysical. TABLE 4-1 FOCAL LENS CROSS SECTION Largest radii MO - 4 Merc EQ + 1 Moon EQ 4 Merc est. radius ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Merc EQ (MERCURY equatorial radius) VP ... Shortest orbital MO - 3 Merc AV + 1 Moon AV 3 Merc est. radius ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Merc AV (MERCURY average radius) VO MO - 2 Merc P + 1 Moon P 2 Merc est. radius ÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Merc P (MERCURY polar radius) VA ... Longest orbital MERCURY ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Output in the first stage calculations produce three Pro Tem radii: Mercury equatorial, Mercury averaged, Mercury polar. These are listed in TABLE 4-2. When these are substituted back into the proportional equations of TABLE 4-1, Re-iterated values result. The Re-iterated values are inherent within the assembly bounds, outlining a pure Mercury artifact in space, in quantum states recurring like a hologram in a vacuum Moon orbit at Venus. The Mercury values are listed as follows: TABLE 4-2 Pro tem Re-iterated Equatorial .oooo2438 3710 833 .oooo2438 3873 809 MERCURY radius Averaged .oooo2437 5163 352 .oooo2437 5449 749 Polar .oooo2436 6731 106 .oooo2436 7028 533 AU's Perihelion 1.0747 4591 509 (.7184 32) VENUS orbit Mean 1.0820 8967 732 (.7233 32) Aphelion 1.0894 3343 956 (.7282 41) ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±±± APPENDIX E ±±±±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±±±±±± MARS STATES ±±±±±±±±±±±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ Instead of an appositive or obverse symmetry, turn around and look past the full Moon to the outer reaches of the Solar system. This is a converse view. Is there anything worth looking at out there? The next solar artifact past the Earth is Mars. Where is there anything fundamentally attractive about Mars? You can approach the question with a simple surmise. If there are states for the other inner planets, perhaps there are states for Mars too. Where and what are they? It is immediately obvious that any states from Earth's mean of orbit to the three eccentric positions of Mars' orbit cannot fall into a Moon orbit sightline range that is incrementally consistent, regards the disparate great distances over which an intervening entity must displace along the sightline, in order to target a phantom Sun shifting to different positions in the somewhat eccentricic orbit of Mars. Focal points in the Moon orbit will fall far outside the eccentricic range of the Moon itself. On the other hand, when the phantom Sun is stood at Mars' mean of orbit and the observer is moved to the three eccentricity positions of Earth's orbit, an amazing picture emerges. Mainly, the Earth eccentricity is somewhat less than that of Mars. So much less that a focal entity will not shift by great amounts. The positions fall well inside the Moon's eccentricic range, and the shifts in focus are intelligently organized. The entity that fits the bill is well known. The entity is, of course, Mars. A Mars sized full moon is found as a lens in the Moon orbit, displaced Earthward from the Moon's mean of orbit by N incremental units, each unit equal to the size of Mars' radius. This is in keeping with other assemblies such as the Venus-Mercury-Sun states for instance, where a transparent Mercury focal lens is positioned via increments the equivalent of Mercury's radius, along the Moon orbit sightline. In keeping with the sense of an elegant symmetry, in the Mars outer space view, with the Earth at perihelion of orbit and again at aphelion of orbit, the phantom Sun projected in the Mars' mean of orbit is perfectly superimposed by a Mars sized focal entity that shifts to discrete focal locations along the Moon orbit sightline. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ INTRINSIC IMAGE ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ If the Earth-Moon-Sun (physical) assembly is simply swung around in space, so the Sun is standing at Mars' mean of orbit, then the Mars eclipse states are at hand. A transposed full moon Mars stands forth massless and transparent from the Earth as a lens of exactly the right cross sectional size to perfectly superimpose an image of the Sun projected into the orbit of Mars. The Mars quantal assembly statement is: MO 1-----1-1m+++1 5 1 +3 There are two non typical features in the Mars eclipses (the 5th assembly of states); A. Incremental shifts to each focal state along the Moon orbit sightline occur in jumps of 4 units of Mars' radii, rather than only 1 unit of radii. B. One of the Mars states occurs with Mars focused outward beyond the Moon's mean of orbit MO. This is the +3 term shown above. The difference here, is that in the other four assemblies the states occur on the inside of the mean of orbit at new Moon, except for one state which occurs right at the Moon's mean of orbit in the Earth-Earth-Venus set. Notwithstanding, it is clear that the common set of proportionalities so far outlined, includes a 5th assembly in which distances from positions in Earth eccentricity to Mars' mean of orbit are exactly what are needed to have a Mars sized full moon mathematically bound within focusing range along the Moon's orbital sightline, relative to the Moon's mean of orbit. Parameters include the size of the Sun. All of the parts are a perfect fit in yet another appearance of a fundamental eclipse artifact which has distinct quantum properties and multiple appearances in the dominion of solar gravity. (It is worth mentioning that in pure mathematics the same Mars states can be constructed in principle with the Moon orbit copied at Mars, and the observer at Mars' mean of orbit focusing on images of the Sun zoomed into the perihelion, mean, and aphelion of Earth's orbit. In this model, all of the quantum eclipse states then point straight inward to the center of the solar system). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ MARS STATES IN DETAIL ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ The following is a look at the 5th array in detail. ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ TABLE 5-A Empirical size of Mars (from Data tables) Equatorial .oooo3396 6 MARS radius Averaged .oooo3386 65 Polar .oooo3376 7 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ TABLE 5-B The orbit empirical datas of Mars (from data tables) Perihelion 2.0665 6521 130 MARS orbit Mean 2.2794 1014 988 Aphelion 2.4922 5508 846 Perihelion .8084 4664 5886 MARS mean - EARTH Mean .7834 3087 9880 Aphelion .7584 1511 4886 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ TABLE 5-C Mars radius as calculated via the proportions of TABLE 5-1 given below pro tem re-iterated Equatorial .oooo3398 3660 .oooo3398 4119 MARS radius Averaged .oooo3386 2203 .oooo3386 2241 Polar .oooo3374 0041 .oooo3374 1278 Pro Tem are the results of the first (initial) calculations. The empirically measured radius terms of Mars are used to calculate the Pro Tem values, which are then substituted in the same proportions to produce Re-iterated values, using the proportions of TABLE 5-1 below. The Re-iterated values are rapidly convergent to a steady value, in only two steps; Pro Tem through Re-iterate. The resulting values are stable. A summary of what stable means is given in the following outline. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ STABILITY FACTORS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ TABLE 5-D Sequence of steps: 1. Empirical data 2. Pro Tem data 3. Re-iterated result + 3 Mar EQ + 3 Mar EQ Mar EQ - 1 Mar AV - 1 Mar AV Mar AV - 5 Mar P - 5 Mar P Mar P .oooo3396 6 .oooo3398 3660 .oooo3398 4119 .oooo3386 65 .oooo3386 2203 .oooo3386 2241 .oooo3376 7 .oooo3374 0041 .oooo3374 1278 in which the physical data terms are used in the proportions of TABLE 5-1 (below) to arrive at Pro Tem cross sectional results, which are substituted back into the proportions as the incremental unit terms, to arrive at Re-iterated cross sectional results. (This same sequence in derivations is followed for all of the states in the 5 sets of assemblies). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ TABLE 5-1 Mars quantum gravity states ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ An example of a proportion: ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ Moon orbit + 3 Mars equatorial radius ³ ³ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x Sun radius = Mars ³ ³ Mars mean - Earth perihelion equatorial radius ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ EARTH-MARS-MARS from TABLE 5 of APPENDIX H ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Incremental terms converse TABLE 5-1 FOCAL LENS CROSS SECTION MO + 3 Mar EQ ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mar EQ (MARS equatorial radius) MarO - EP MO - 1 Mar AV ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mar AV (MARS averaged radius) MarO - AO MO - 5 Mar P ÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mar P (MARS polar radius) MarO - EA ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ MARS HYPER FINE DISTINCTION ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ The hyper fine distinction for Mars (as indicated in TABLE 5-1 above), exactly follows the manner of the Earth-Moon-Sun states shown in TABLE 1-1 in APPENDIX B further above. There is no reversal in the Mars states. Specifically, fewer Mars EQ radii incremental units are tied to a Mars EQ cross section in the focal entity, in an assembly formed over the longer solar distance between the observer and target Sun. Similarly, more Mars Polar radii incremental units are tied to a Mars Polar cross section in the focal entity, in an assembly formed over the shorter solar distance between Earth and Mars. These facts are fully shown in the terms of TABLE 5 in APPENDIX H. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ TEST FOR HYPER FINE DISTINCTION ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ As depicted in TABLE 5-1 above, Mars EQ radius incrementals along the Moon orbit sightline are equated with a focal entity cross section the size of Mars EQ radius. Similarly, Mars Polar radius increments are equated to Mars Polar radius cross sectional size for focal entity. If the incremental distinction is reversed in the proportions, the same focal entity cross sectional sizes result, but not as quickly, in re-iterations. For instance, if things are juxtaposed as in: TABLE 5-2 MO + 3 Mar P ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mar EQ (MARS equatorial radius) MarO - EP MO - 1 Mar AV ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mar AV (MARS averaged radius) MarO - AO MO - 5 Mar EQ ÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mar P (MARS polar radius) MarO - EA where instead of + 3 Mar EQ - 1 Mar AV - 5 Mar P there is given + 3 Mar P - 1 Mar AV - 5 Mar EQ the Re-iterations converge but less rapidly to the same cross sectional diameters. That is, it will take at least 5 steps in re-iteration to arrive at stable results, instead of only 2 steps for the convergence when using the terms of TABLE 5-1. This suggests that the terms of TABLE 5-1 are favored. A further discussion regards such re-iteration - is such re-iteration really necessary - is found further below under 'No Re-iteration', in Discussion F-C of APPENDIX F. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±±±±±±±±±±±±±±± APPENDIX F ±±±±±±±±±±±±±±±±±±±±±±±±±± º º º º ±±±±±±±±±±±±±±±±±±±±± MISCELLANEOUS DISCUSSIONS ±±±±±±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±± Discussion F-A Traditional Eclipse Geometry ±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ ÛÄ´³ Geometry of Ordinary Totalities ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ ³ ³ ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In parallax geometries used by science publishers to illustrate mighty empirical eclipses, constructions begin with an observer standing on the curved surface of the Earth. The observer is located anywhere in a range between the arctic and antarctic circles. The Moon due to orbital tilt can be partially above or below the ecliptic axis between the Earth and center of the Sun. The Earth's location in orbit is irrelevant. Sighting is past the sides of spheres comprising the Moon and Sun. There are right angles at where the empirical lines of sight touch (glance past) the Moon and Sun's spherical circumferences along the parallax side arms. The longest triangle side (hypotenuse) is along the central axis from observer to the center of a sphere. In this, the central axis to the Moon may be marginally off line from that to the Sun due to an imprecise overlap. In this geometry the Moon is located around the middle of orbit but for totalities is expected to be in a small range just on the inside of its mean of orbit. In this arrangement there is no importance attached to the location of the Moon in a current eclipse, compared to a previous eclipse, compared to an upcoming eclipse, since the arrival of the Moon in position for a totality is due to what the writers say are amazingly coincidental circumstances given the Moon's orbital tilt, its eccentricic orbit, and the Earth's eccentricic orbit, each of which is one step further away from any state of constancy. In such arrangements there is no fundamental significance between any one eclipse and another. The only repeated occasional event is a totality, with the solid shapes of the Moon and Sun completely overlapping. The observer must move to positions literally anywhere from top to bottom of the curved surface of the Earth to empirically see the totality. In other words, the final sightline focusing for a totality is made by the mobile observer. When in position, the observer waits until the Moon has slowly passed over the face of the Sun. This is real time activity, thought to be the ultimate end in the mechanics of solar gravity. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±± Discussion F-B Statistical Reality of States ±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ Steady State Data points ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Much of fundamental physics is now based on statistically averaged results. For instance in quantum dynamic theory an electron at any moment in time may be roaming to far places within an atom, but over a long time will most likely be found in a particular place which can be designated as a mathematical data point, or as a particular pattern designated by a continuation of the mathematical point. The same rule applies in planetary orbits, not so much in a pattern of distribution, but as data points most often repeated at a specific location from the Sun. This is due to orbital eccentricity. If an orbit was pictured not as circular but merely oscillating in and out from the Sun, the data points would most easily be seen, appearing at three places along a straight line out from the Sun. These three places are traditionally designated the perihelion, mean, and aphelion of orbit, for closer, mid point, and farther reach of orbit from the Sun. These locations are fixed in value and are not the same as the closest or farthest reaches possible to attain per revolution in the orbit. (During any single oscillation (ie. revolution) a body will reach either inside or outside the data points by a small amount, but over time will be statistically found most often at the data points). Similarly, the Moon even though tilted in orbit slightly, nonetheless passes back and forth (up and down) through a range which crosses the straight line (ecliptic axis) between the center of the Earth and center of the Sun. Even though the Moon tends to slingshot slightly in orbit due to its closeness to Earth, there is a data point position traditionally called its mean of orbit, where over time the Moon with all of its motions averaged is significantly found more often than anywhere else in orbit. For instance this would be most easily seen if the Moon passed in and out in a straight line oscillation. In its slingshot effect, the Moon approaches Earth through a larger range in closest approaches, then slingshots out to a narrower range in outreach before stopping to return back toward Earth in a somewhat off centered eccentricity. Because of this, the Moon's mean of orbit is biased slightly toward the orbit's outreach. Extend the time period for observation a little longer, and it will be seen that the Moon's mean of orbit data point is also moving up and down, regularly crossing the main line (ecliptic axis) between the Earth and Sun due to the Moon's orbital tilt. Over time, the Moon's mean of orbit data point will appear most averaged at the place where it crosses the main line. What happens when removing the observer from intense personal experience of a moment to moment eyeball encounter with the Moon and the Sun (so seeing only their relative positions in real time), is that now a solar arrangement is seen according to its more fundamental construction based on key data points, seen as a creator might view the operation. It follows that the most fundamental solar view of all is how the data points line up in a straight line of sight, when tilts and circular orbiting are removed from the construction and the basic motions are analyzed as simple in and out oscillations. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ A Fixed Frame of Reference ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Data points in a straight line are what will appear anyway, if the system is viewed in a fixed frame of reference over a long time. For instance view the system on a single line connecting the Sun along the solar ecliptic axis to any nearby star which happens to be in a direct line of sight with the solar ecliptic axis. This is a more international perspective. Even though a longer time is required for observations now made in a single plane and in less than one degree of the solar circumference, over time the same data points will inevitably appear falling along that single line. The results in this fixed frame are the same as if compiled by lineal in and out oscillations. And so we have at hand an empirical array consisting of lineal data points seen in a steady state manner in a fixed frame of reference, instead of a display of rolling spheres eyeballed relative one to another at any moment in time. Now there is a single constant image perceived as the bottom line over a history of moments. This is the arena in which quantum eclipse states are understood to exist within the dynamic framework of the solar system. If thinking of a history of moments presents difficulties, realize that an observation will be made for the Earth once a year in the fixed frame of reference, and for the Moon 12 times a year. In a hundred thousand years, a hundred thousand observations are made for the Earth orbit, and over a million for the Moon. This is only an eyeblink in the solar lifetime. In analogy this is no less significant than making a statistical surmise of a hundred thousand electrons at a given excitement level of the hydrogen atom. It is by such large number surmises that the quantum states of the atom are verified. The point is that quantum gravity states are not a fantasy through an invention of imaginary data points for illusionary orbits used to build sand castles. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±± Discussion F-C Hyper Fine Distinction ±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ HYPER FINE DISTINCTION REVIEW ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ In the 'Test for Hyper fine Distinction' found at the end of APPENDIX E above, it is shown that the quantum gravity equations for Mars favor certain oblative qualities for the terms in TABLE 5-1. It is understood that a similar oblative favoriteness is found for the quantum gravity states in the other 4 sets of assemblies. What this means is that proportionate terms converge rapidly to stable cross sections (through quick re-iteration) given certain hyper fine distinctions, and still converge but more slowly given other hyper fine distinctions, or given no such distinction at all. If no initial hyperfineness is given at all in the incremental terms, all of the proportions in each of the 5 sets of assemblies will nonetheless converge into the same consequential stable cross sections, after five or so steps in re-iteration. The difference with hyper fine distinction included (using existing empirical oblative radii as initial terms), is that the same stable cross sections are quickly resolved in only 2 steps in re-iteration. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ NO RE-ITERATION ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ If the final re-iterated cross sections are assumed to be the actual original fundamental cross sections for the entities, (the bottom line in their original creation), there is no re-iterative property involved and the proportions are perfectly balanced anyway. The re-iterations therefore may act as a means by which these bottom line values can be extracted based on today's empirical data input. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ HYPER FINE NARROW RANGE and SWITCHING ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Hyper fine parameters have every appearance of being source rather than coincidental. They appear to operate in a very narrow window. Their existence can be tested as follows: Is it possible that hyper fine distinction is peculiar to quirks in the surety of the calculations themselves and are not a source in first cause? There is something to consider here. Mainly, terms of 10 to the power 8 are being added and subtracted to terms of 10 to the power 10, and terms of 10 to the power 13 are being divided into terms of 10 to the power 10, in factoring the states. Can this influence the outcomes, creating mathematically coherent falsehoods? In using the Mercury states as an example, if the states are described in derivations using proportions that begin and end from a different approach, there can be substantial drift in the value of the outcomes, and the hyper fine reversal observed for the states vanishes. In Table 4-4 which follows below, the incremental unit results are higher than the empirical size of Mercury, and there are fewer incremental units. This is in consequence to the approach taken by the proportions of Table 4-4 below. Re-iterated From Table 4 in APPENDIX H below .oooo2438 38 Equatorial (empirical EQ) .oooo2439 MERCURY radius .oooo2437 54 Averaged .oooo2436 70 Polar ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ VENUS-MERCURY-SUN from TABLE 4 of APPENDIX H ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Incremental terms TABLE 4-3 FOCAL LENS CROSS SECTION MO - 4 Merc EQ + 1 Moon EQ ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = .oooo2438 38 Merc EQ HIGH VP MO - 3 Merc AV + 1 Moon AV ÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = .oooo2437 54 Merc AV MIDDLE VO MO - 2 Merc P + 1 Moon P ÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = .oooo2436 70 Merc P LOW VA ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ TABLE 4-4 Incremental terms Incremental Result ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Merc R means Mercury empirical radius. MO is Moon mean of orbit. Incremental terms ...... 3 Merc R 2 Merc R 1 Merc R are general results of .. Venus orbit divided by Sun radius times Mercury empirical radius .oooo2439 TABLE 4.4 Cont. Shows a hyper fine low/high switch from table 4-3 VP ÄÄÄÄÄÄÄ x Merc R = MO - (3 x .oooo2640 00) LOW Sun R VO ÄÄÄÄÄÄÄ x Merc R = MO - (2 x .oooo2673 75) MIDDLE Sun R VA ÄÄÄÄÄÄÄ x Merc R = MO - (1 x .oooo2775 01) HIGH Sun R What is of interest in comparing TABLES 4-3 and 4-4 is that hyper fine results have switched. Smaller incremental units are now factored for the shorter solar distance to the targeted Sun, and visa versa for longer solar distance. This in fact is a favorable plus for the idea of hyper fine distinction in principle, by demonstrating that a very narrow window is involved in the bounds of the mathematics. It also favorably demonstrates how very narrow the windows actually are in the factoring of eclipse states in the proportions of APPENDIX H. Now is time to note how forcing a single false value for a Mercury radii input term (empirical Mercury R) causes the supreme elegance of the Mercury 'Perfect Eclipses' structure to vanish. None of the resulting terms are constants sitting right on known radii value. Further, using the resulting false values to run the ratio proportions again, causes the resulting terms to further erode and unravel in the opposite mathematical direction to the constant values quickly homed into locked-in status as 'strange attractors' permeating the 'Perfect Eclipses'. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ NON RE-ITERATING PROPORTIONS ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Of special interest is the fact that equations such as those of Table 4-4 DO NOT fundamentally re-iterate. That is, they unravel. If the incremental Merc R resulted in table 4-4 are substituted back as the Merc R terms in table 4-4, the next incremental results in this case are dramatically expanded. Quickly, re-iteration becomes meaningless. It raises a question as to whether or not all of the quantum states (as listed in APPENDIX H) are due to coincidental flukes in the re-iterations, say (for instance) being peculiar to just the planetary data tables used. This tugs on the next question; how come such precise states, and so many. No attempt is made to answer this type of question with information herein enclosed. The proof for the states is considered to be their self evident accuracy and uniform systematization. Also is the fact they occur fully developed within such extremely narrow mathematical windows. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±± Discussion F-D Deriving a Set of States ±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ PRIORITIES IN LOGIC ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ The rule of logic for identifying quantum states was to determine an initial semblance of a sequence for increments along the Moon orbit sightline, seeking a recognizable focal lens size, (beginning with clues provided as the Earth-Moon-Sun assembly), using for general fundamental proportions the versions listed in TABLE 1-1 of APPENDIX B. With moon orbit sightline increments inferred, a focal entity's resulting three radii were determined, the resulting radii in turn used to improve on detail via re-iteration to pin down the moon orbit sightline increments. Naturally occurring super accuracy inevitably becomes self evident in the hyper fine distinctions along the sightlines. For instance, the Mars states (of TABLE 5 of APPENDIX H) were found almost instantly, the first time tried, with the simple experimental act of placing the observer at the Earth's perihelion of orbit and a transparent Sun at the mean of Mars' orbit. Prior attempts over a 6 year period had all dealt with seeing what happened with a projected Sun at the perihelion, mean, and aphelion of Mar's orbit, with observer stationed at Earth's mean of Earth. It was already known that a Mars-like focal lens appeared on the inside of the Moon's mean of orbit (displaced Earthward by 1 Mars sized incremental), which could eclipse a Sun in the mean of Mars' orbit when seen from the mean of Earth's orbit. In the new test instance, the first proportion (from Mars mean to Earth Perihelion) immediately yielded the following result: EXAMPLE F-1 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MarO - EP ÄÄÄÄÄÄÄÄÄÄÄ x Mars EQ radius = MO + k SunR ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Where +k turned out to be 3 units of an approximate Mars radius of value .oooo3328 2467 SUBSTITUTING as F-2 : ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MO + 3 Mar EQ radius ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mars EQ .oooo3398 3660 MarO - EP 3396 6 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Where Mars EQ at .oooo3398 3660 turned out to be an excellent approximation of the empirical value of Mars equatorial radius .oooo3396 6 The value for a Mars polar radius followed, with the observer at Earth's aphelion of orbit and a projected Sun at the mean of Mars' orbit. This required some experimenting, that is: EXAMPLE F-3 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MarO - EA ÄÄÄÄÄÄÄÄÄÄÄ x Mars EQ radius = MO - k SunR ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Where -k came out as 4 units of an approximate Mars radius of value .oooo3605 5540 SUBSTITUTING as F-4 : ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MO - 4 Mar EQ radius ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mars R .oooo3404 2732 MarO - EP ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Where Mars R turned out too high, at .oooo3404 2732 However, trying 5 Mar EQ radii rather than 4 in equation F-4, immediately yielded the following: SUBSTITUTING as F-5 : ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MO - 5 Mar EQ radius ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Mars P .oooo3373 0906 MarO - EP 3376 7 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Where Mars P at .oooo3373 0906 turned out to be an excellent approximation of Mars' polar radius. With this information at hand (Mars EQ associated with +3 incremental units in equation F-2, and Mars P associated with -5 incremental units in equation F-5), it was easy to see an obvious balance in the rate of incremental units along the Moon orbit sightline, and find the appropriate terms which resulted in closer accuracy in the assembly's hyper fine distinctions (specified as TABLE 5 of APPENDIX H). In the overall, these states for Mars were clearly synonymous with the construction of the other 4 assemblies of quantum gravity eclipse states. It was noticed right away that the 'reversal' seen in other invisible object assemblies was not continued here with Mars. The so called 'reversal' is a change in the rate of equatorial to polar vrs polar to equatorial radius in the increments along the sightline, and in the concomitant size of the focal objects. Reversal or non reversal becomes plainer the greater the accuracy of the calculations. The Earth-Mars-Mars assembly initiated in the above sequence of steps (equations F-1 to F-5), revealed the assembly's hyper fine aspects right away. (A test for hyper fine distinction for Mars is summarized above in TABLE 5-2 of APPENDIX E). ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ QUALIFICATION ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Finding the hyper fine distinction for a set of states is not all that easy without guidance. Following intuitional leads has to be the only way, since each group of states actually presents more than a dozen unknowns, until perceived correctly. (Remember, there are no prior historical clues in traditional gravitational theory). As for detective work - the initial investigative steps are not here included, for the obvious reason that there are none to speak of. Precursive investigations can lead every which way until suddenly a fixed set of states are articulated. After which it is clear that, given certain parameters, only one array seems to exist with a coherent display of terms completely wrapped in a package, per assembly set. There are certain difficulties in pinning down the accuracy for Earth focal object states, (mentioned starting at 'Non systematic FASTIDIOUS range' in Discussion F-E below), but these questions are not explored with any serious intent. ÉÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍ» º ±±±±±±±±±±±±±±± Discussion F-E Fastidious Accuracy ±±±±±±±±±±±±±± º ÈÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍÍͼ ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ÛÄ´³ FASTIDIOUS ACCURACY ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ The purpose is that you should be able to produce the same states to the same decimal results by doing the same calculations as here shown in the 'Introduction To Quantum Gravity'. To do this requires duplicating the same high rates of accuracy. As mentioned earlier (under the topic 'ACCURACY' prior to APPENDIX A above), because of the wide spread in scale between planet radii and planet orbits, the equations are fastidious, and so have here-in been reported at their most advanced stages of accuracy. Otherwise, the end digits in resulting radii can seem to bounce around with no control. A slight change for instance in the value of the Moon's mean of orbit can (but not necessarily) result in much greater deviations in a resultant radii. However, even with some wide swings in constancy, it quickly becomes apparent that only certain entities are selected by natural mathematical boundaries, and that through a quick step in re-iterating, the radii values completely close in on an entity's known (or anticipated) empirical size. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ Non systematic FASTIDIOUS range ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ For instance, use of the empirical mean of Moon orbit MO = (.oo384401 x 10 to 13 cms) for factoring the terms in the Earth states of TABLE 3 of APPENDIX H, results after re-iteration, in Earth radii downshifted by about .045%, which is a little low but still within a range for oblateness for Earth. It could mean that the Earth states (as presented in TABLE 3 of APPENDIX H), properly are 1--1-1 1m rather than 1--1-1 1MO+, and that an MO+ term in these structures is merely a myth in the editor's mind. These are editor's thoughts only, not meant to be arguments. ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ MO vrs MO+ vrs SOME OTHER ADJUSTMENT FOR THE MOON ORBIT ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Use of known empirical Moon mean of orbit MO = .oo384401 as a control term for delineating Earth polar radius in the Earth-Earth-Venus states of TABLE 3 of APPENDIX H, results in Re-iterated Earth radii downshifted by about .O45%, which as mathematical states are slightly blurred, in comparison to the more brilliant focus of the other four assemblies of states. In example, using the Venus radii terms of TABLE 2 of APPENDIX H in the proportions of TABLE 3 of APPENDIX H, and using MO rather than MO+ as the Moon mean of orbit term, the results are: EXAMPLE F-6 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MO - 2 Venus EQ 6378 7254 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth EQ radius .oooo6376 0358 EO - VA low MO - 1 Venus AV ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth AV radius .oooo6364 0358 EO - VO low MO - 0 Venus P ÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth P radius .oooo6353 8406 EO - VP low ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ Whereas, use of MO+ (from TABLE 3-2 of APPENDIX B) results in well focused Earth-Earth-Venus states, as shown in the following proportions, in which the empirical radius values are listed under each factored value: In an aside comment: the rate at which the above Earth EQ is 'low' is only about 2/3 the whole of Mercury's oblateness. EXAMPLE F-7 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ MO+ - 2 Venus EQ ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth EQ radius .oooo6378 7254 EO - VA 6378 164 MO+ - 1 Venus AV ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ x SunR = Earth AV radius .oooo6367 6444 EO - VO