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From: Archimedes Plutonium on 24 Apr 2010 20:03 I should keep the chapters separately marked when I have a postscript involved: Chapter 4: galactic density & distribution Looking at this picture by Juric, I see I have it turned around. http://www.astro.princeton.edu/~mjuric/universe/all100.gif The diffraction pattern is leftmost, not rightmost. So it looks like this: |;;;;;;| |;;;;;| |;;;| |;;;| |;;;;;;| |;;;;;| |;;;| |;;;| |;;;;;;| |;;;;;| |;;;| |;;;| |;;;;;;| |;;;;;| |;;;| |;;;| But I would reckon that the pattern of location and density of galaxies from the Great Wall towards the Milky Way is the opposite of the above where the Milky Way density is a decreasing towards the Milky Way. > Postscript: Chapter 18: "pi" and "e" and "i" explained; inverse fine > structure constant, and proton to electron mass ratio, speed of light, > all linked and explained. > Alright, I have plenty of time before I reach chapter 18 to find out and understand the significance of Earth's log spiral having 5 x 10^3 km whereas Earth radius is 6 x 10^3 km and Earth's meridian circumference is 4 x 10^4 km. Obviously I get the speed of light from (4 x 10^4 km)(4 x 10^4) / 5 x 10^3 sec = 3 x 10^5 km/sec So I have 4 x 10^4 strips of meridians all of which are a km width strip. And I need to account for the number 5 x 10^3 km for the log-spiral. I do not need to account for how I can switch out km for that of seconds, since it is hyperbolic geometry and a dual switch is allowed. But I do need to account for why 5 x 10^3 is of special significance for the log spiral on Earth. Experiment: I love it when a High School student can do this figuring out with an experiment. Materials needed: a globe of earth. Mine is about a 30 cm globe (it is an old one showing both east and west Germany). Other materials are a long enough electric fence wire. I use electric fence wire because it is bendable, yet will not break with enormous number of time bending it, whereas plain old wire when bent breaks after a few times bending. Now I cut a piece of wire that will be the circumference. And since 5,000 is 1/8 of 40,000, I need to cut another piece of wire that is 1/8 of the circumference wire. Now I use the circumference wire to sort of bend into shape a log spiral not being fussy with the polar region, but more to see what the shape is near the equator and that the equiangles with the meridians. Now I lay the 1/8 piece of wire from the pole and see where it ends up. It ends up at about 43degrees North latitude. Keep in mind that 8 of these segments make a circumference. Now I am wondering of the significance if any of this 1/8 circumference segment. I believe from applying the log spiral with the other wire. That the log-spiral intersects the meridian at 43 degrees North latitude. And I am assuming the pole to be the center of this log spiral. So I think this number 5 x 10^3 km for a log spiral on the globe of Earth is related to the sphere as a point in which the log-spiral and the meridian intersect. If true, is there a special name for this line segment? Should it be called a log-spiral-radius? If all the above is true, then I have found what I needed and have proven that geometry of symmetry breaking yields the speed of light. It is not a pure math derivation because the Time factor is held constant in terms of seconds. But the length factor can be in any length desired because the width of the strips compensates. So, is 1/8 the circumference of a sphere of any sort of special significance as per the log spiral placed on that sphere surface? Mind you, it maybe not exactly 1/8 = 0.125 but perhaps something like 0.126.... since pi and "e" are irrational. Or does the log spiral intersect a meridian in 8 equidistant spots? Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |