Text: Introduction into the Mathematics of the World Grid Bruce Cathie, review by Joseph Albert, Jr. The following is an excerpt from Bruce Cathie's latest book "The Harmonic Conquest of Space". It is a very good introduction into the mathematics of the world grid system. The events which led up to the writing of this, my fifth book, began in 1952 when my life changed dramatically. I was then a pilot with the New Zealand National Airways Corporation, and one evening, with a group of friends, I had a prolonged sighting of a UFO over the Manukau Harbour in Auckland, New Zealand. The object carried out manoeuvres that no known man-made vehicle could accomplish at that time. The thing, whatever it was, had an intensely brilliant white light with a smaller glowing red light some distance from it, and for about twenty minutes held myself and the other witnesses spellbound as it went through a series of right-angle turns, then disappeared straight up into a clear evening sky. Ever since that time I have collected every bit of information available on the UFO phenomena. During my thousands of hours of flying, I have searched the skies constantly and been rewarded with many other sightings. As time went on, I was informed by many other airline pilots in New Zealand that they, too, were sighting objects for which they could find no explanation. Over the years I have studied a great deal of material published by other investigating groups, and came to the conclusion that no real progress could be made in discovering the purpose of UFO activity by this means. The main body of investigators have confined their activity to collecting masses of sighting reports, filing them away and then doing nothing else with the information. Several of these larger well-known international groups I suspect of being nothing more than covers for intelligence organisations which gather information on public awareness of UFO activity. I decided long ago that the only way to tackle the problem would be to plot all the areas of activity and try to find some logical mathematical order in the hovering positions or flight paths of the unknowns. To this purpose, I studied the methods of a Frenchman by the name of Aime' Michel who had also endeavoured to find a mathematical order of this nature. He had had partial success and managed to find several track lines with equally-spaced activity in the European area. Just when he appeared to be onto something, for some unknown reason he abandoned this line of research and publicly proclaimed that nothing could be accomplished by this method. After studying his early attempts, I considered that there was a definite logic in his findings and decided that I would carry on my own research using his basic methods. I struck gold, and ever since I plotted the first two track lines at right angles in the New Zealand area, I have continued to progress and advance my scientific knowledge in areas which otherwise would normally be completely foreign to me. Along the way I have taken much flack from the academic world, and from those who profess to know all the answers--that is, in public. But behind the scenes it has been a different story. Over the years I have had many direct communications from members of intelligence organisations, top scientific circles and government agencies wishing to know what my latest findings are, and requesting copies of certain parts of my work. Once I had established the two track lines, I was able to form a complete grid network over the whole of the New Zealand area by gradually plotting onto the map the most reliable UFO sightings. The pattern consisted of lines spaced at thirty-minute intervals orientated just on six degrees displacement from true north. Eventually, two similar grids were found to be interlocked with each other, creating rather a complex pattern which could be further reduced to lines with a spacing of seven-and-one-half minutes. I have made use of this map for many years and still find the grid lines valid when checking recent activity. The next logical conclusion was that I had discovered a small section of what could possibly be a world system. The question then was how to transfer this small section onto the world sphere and accurately align it. It was then brought to my notice that a strange aerial-like object had been photographed by chance on the seabed off the west coast of South America by the American survey ship Eltanin. The object was two-to-three-feet high and had six main crossbars spaced evenly up its stem with a smaller one at the top. Each set of crossbars had a small ball at the end of each arm. A friend and I visited the Eltanin when it called into Auckland, and we were told by one of the scientists on board that the object was thought to be an artefact of some kind, and appeared to be metallic. I had a hunch that this could be the point I was looking for, upon which to orientate a world grid, if in fact one existed. I spent some time constructing grid patterns on a plastic ball until I found a system which could be transferred onto the world surface and aligned with the aerial-type object and the section of the grid discovered over New Zealand. I found that the patterns matched, and felt sure then that a global system was almost a certainty. The next step was to find the mathematical basis for the system, and this proved to be a long and arduous job--especially as I do not class myself as anything of a mathematician or a physicist. After a study of all the available information on UFO activity, I came to the conclusion that the speed of light, mass and gravity acceleration values must have some connection with the grid structure in order to explain the extraordinary manoeuvres carried out by the strange craft. The basic grid structure was formed by a series of great circles interlocking at various points around the Earth's surface. The nodal points of the two grids, when joined by a series of small and great circles, formed what I have loosely termed polar squares around the north and south geographic poles. It was when I carried out a geometric and mathematical analysis of these sections that I found a direct connection with light, gravity and mass equivalents in a harmonic sense. To do this, I had to convert all our normal systems of measurement into a single set of units, and also convert our time measure into one that would correlate with the grid. After much thought and a long period of trial and error, I finally discovered that angular measure in minute-of-arc values, and a time unit based on twenty-seven units for one revolution of the Earth, was the key to the unlocking of the grid secrets. After that it was a long, slow process to learn how to relate the values being calculated, one to the other, in order to find a logical mathematical basis for the system. Finally, after years of work, I discovered that I could formulate a series of harmonic unified equations which indicated that the whole of physical reality was in fact manifested by a complex pattern of interlocking wave-forms. I gradually found that the harmonic values could be applied to all branches of scientific research and atomic theory. At first I was not very sure of the results I was getting, but as time went by, more and more interest was being shown by intelligence agents, government personnel and scientists in the work I was doing, and many requests started coming in for information. Help in my work was eventually offered from these quarters, but the catch was that I had to remain silent about my discoveries. This I refused to do, and I still continue to battle on, on my own. Once I realised the importance of the material in my possession, I considered it extremely dangerous for any small group of people to have complete control of it. It was only a matter of time before I realised that the energy network formed by the grid was already known to a powerful group of international interests and scientists. It became obvious that the system had many military applications, and that political advantage could be gained by those with secret knowledge of this nature. It would be possible for a comparatively small group, with this knowledge, to take over control of the world. I have continually asked these people for a valid moral reason why the information should not be given to the world community, and so far no answer has been given. So I carry on publishing the material as I find it. One of the most startling facts that I discovered by application of grid mathematics was that an atomic bomb is a device based on the geometrics of space and time. To be successfully detonated, the bomb MUST be geometrically constructed, placed on, under, or over a geometric position in relation to the Earth's surface, and activated at a SPECIFIC TIME in relation to the geometrics of the solar system. I found that it was possible to precalculate the time of various bomb tests, and the locations where it was possible to explode a bomb. According to thle mathematical complexities of unlocking the geometric structure of the unstable material constituting a bomb in order to create a sudden release of energy, I realised that an all-out atomic war was an impossibility. Both sides could precalculate well in advance the time and positions of atomic attack. Plus the fact that only certain geometric locations could be devastated anyhow. A logical war cannot be considered under these circumstances. This could be the explanation for the proliferation of conventional weapons in modern warfare. Another competitive field where the harmonic mathematics of the grid can be applied is in laser research. Apart from peaceful uses of laser beams, which are many and varied, the military application is considered more important. A whole list of scientific areas could be shown where this new knowledge could be put to use, without stating the obvious application that would transform our communication and transport systems, and give us the means of reaching the stars. "It is not right for the public to have this knowledge," I was told. "It would not be good for them." I'm sure that most would disagree with this outlook, as I do. I am only one small voice. It is up to the scientific community themselves to open up research in all these fields, in order that all mankind can reap the benefits. The following extracts are from my published works. Complete mathematical explanations of the harmonic theory will be found in my latest publication, The Harmonic Conquest of Space, currently being published by NEXUS Magazine. The theoretical positions for Grid Poles "A", "B" and "C" in the northern hemisphere are as follows: Grid Pole A = Latitude: 72o 25' 44.6812" North Longitude: 89o 58' 59.4336" West Grid Pole B = Latitude: 78o 25' 07.O046" North Longitude: 104o 59' 24" West Grid Pole C = Latitude: 75o 32' 18.7692" North Longitude: 95o 58' 07.1695" West The poles will be in reciprocal positions in the southern hemisphere. The diagonal of the 'polar square' of 5091.168825 units can be broken down into a series of values: 5091.168825 / 2 = 2545.584412 Reciprocal of 2545.584412 = 0.0003928371 Square of 2545.584412 = 648 The harmonic value of 3928371 is of extreme importance as it has a direct relationship with the Earth's magnetic field. The harmonic 648 also has many interesting associations, in particular the harmonic table for temperature. In my second book I stated that the first glimmerings of true space travel might be achieved came to me when I uncovered the clues that led me to the UFO grid that criss-crosses the globe. I was aware that my calculations were not precisely accurate in the strict mathematical sense, but I could see that the system was based on space-time geometrics, and there was the best possible support for this--no less than the theories of Einstein. Somewhere, I knew, the system contained a clue to the truth of the unified field which, he had postulated, permeates all of existence. I did not know at the time that this knowledge was already in the hands of the scientists who were well ahead of me. I know now that they must have been aware of the grid system for many years. They knew that Einstein's ideas about the unified field were correct, and, what's more, they had been carrying out full-scale research into the practical applications of the mathematical concepts contained in that theory. We were told that Einstein died without completing his equations relating to the unified field theory. But in more recent times it has been said that he did in fact complete his work and that the concepts were so advanced that the full truth was not released. The only way to traverse the vast distances of space is to possess the means of manipulating, or altering, the very structure of space itself--altering the space-time geometric matrix which, to us, provides the illusion of form and distance. The method of achieving this lies in the alteration of the frequencies controlling the matter-antimatter cycles that govern our awareness or perception of position in the space-time structure. Time itself is a geometric, just as Einstein postulated it. If time can be altered, the whole Universe is accessible to us. We are now on the threshold of exploring deep space. Geometric and mathematical analysis of the polar sections of the world energy system indicated that the harmonic value for mass was equal to the harmonic of the speed of light plus the square root of the harmonic of the speed of light reciprocal, or if c = the speed of light m = mass then m = [c + square root (1/c)] I had the first part of a unified field equation in harmonic values. To take the next step, I first had to go back to Einsteinian theory, particularly the famous equation: E = mc2 where E = energy, m = mass, and c = the speed of light. Einstein declared that physical matter was nothing more than a concentrated field of force. What we term a physical substance is, in reality, an intangible concentration of wave-forms. Different concentrations of structural patterns of waves unite to form the myriad chemicals and elements which, in turn, react with one another to form physical substances. Different wave-forms of matter appear to us to be solid because we are constituted of similar wave-forms which resonate within a clearly-defined range of frequencies that control the physical processes of our limited world. Einstein believed that "m", the value for mass in the equation, could eventually be removed and a value substituted that would express the physical in the form of pure energy. In other words, by substituting for "m", a unified field equation should result which would express, in mathematical terms, the whole of existence, including this Universe and everything within it. Einstein maintained that the "m" in his equation could be replaced by a term denoting wave-form. I had found a substitute for "m" in terms of wave-forms of light. So the obvious step to me was to replace Einstein's "m" with the values of "c" found from the grid system. The results are as follows: Einstein: E = mc2 Cathie Grid: m = [c + square root(1/c)] Therefore: E = [c + square root(1/c)]c2 -- Harmonic Equation 1 I now had a harmonic unified-field equation expressed in terms of light, or pure electromagnetic wave-form. The key to the Universe--to the whole of existence, to the seen and the unseen, to forms, solids, liquids and gases, to the stars and the blackness of space itself--all consisting of visible and invisible waves of light. All of creation is light. The In the polar areas of the grid, the geometric values of some of the coordinates appeared to be doubled up. A coordinate of 2545584412 was doubled in the diagonals of the polar squares, and all of its associated harmonics and other factors appeared to be doubled when the pattern was projected onto a flat plane. I reasoned that the way to check this idea was to increase the values of "c" in the equation and observe the changing harmonic of "E" to see what relative values might emerge. I thought at the time that a direct antigravitational harmonic might become evident, but my recent research has proved this line of thought to be incorrect. In terms of mathematical values, I found what I was hunting for in the form of two more equations. In the case of one of the equations, I erroneously believed that the derived harmonic value related to the reciprocal of gravity. I know now that what I had hold of was an equation related to the magnetic field of the Earth. The Earth is simply a huge magnet, a dynamo, wound with magnetic lines of force as its coils, tenescopically counted to be 1257 to the square centimeter in one direction, and 1850 to the square centimeter in the other direction (eddy currents). The spectroscope shows that there is an enormous magnetic field around the Sun, and it is the present conclusion of the best minds that magnetic lines of force from the Sun envelop the Earth and extend to the Moon, and that everything, no matter what its form on this planet, exists by reason of magnetic lines of force. This information was published in a book called Behind the Flying Saucers by journalist Frank Scully, in 1950. The unbalanced fields of 1257 lines of force per square centimetre in one direction, and 1850 in the other, ( 400x Pi and 588 x Pi (ME)) does not tell us very much in itself. But if we use the information to calculate the field strength over an area which has a harmonic relationship with the unified fields of space, and if the basic information is correct, we should find some mathematical values of great importance.

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