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Knot theory as pivotal in telling us how gravity works and the overallgeometry of the Cosmos
This is the title of my File 025 "Knot theory as the math helper for the
internal structure of physics particles such as photons, electrons and to tell the geometry of the overall Cosmos" on my website: www.iw.net/~a_plutonium The last time I seemed to dig into this subject was 1999 but it was recently on my mind due to getting Spring planting underway with curled up garden hoses and curled up electrical cords and curled up ropes and strings. I ran an experiment several weeks ago with putting the electrical cord around the inside of the building so that there was as few loops as possible. In other words to storage the cord as one long straight line. I believe knots occur because whenever a cord or rope or string is wound in a circle then it is 95% or greater of becoming a knot. In other words, a knot is a "virtual circle". So that when one storages anything that is wound is almost guaranteed to have a knot or many knots when attempting to straighten. Now I tried a trick on some rope which seems to have worked. It is long string and so I gave it 4 wounds and then I purposely tied a knot into the middle of it. So when I come to use it again, I expect it to straighten quickly without extra knots. So I wonder if mathematicians have figured out how to storage cord or rope with several winds such that when they straighten it there will be no knots or the fewest knots. This is a nice mathematical problem. But my interest in Knot theory is for what it may tell me about the geometry of the Cosmos. Plus how gravity as a force works. Example: If the Cosmos was a Euclidean geometry then there would be a overall tendency to become wound into knots than if the geometry was overall Riemannian. So if the Cosmos were Euclidean then when I pull out electrical cord that is wound a few turns should straighten very quickly and easily. If the Cosmos were Riemannian then knots abound and anything wound would have a high frequency of knot formations. If the Cosmos were Lobachevskian then knots would almost unwind themselves automatically and difficult to even get a knot from a wound cord or string. Example as to Gravity Force. In my Unification of the Forces of Physics only the Coulomb stands alone and all the other forces pair together to form a Coulomb Force for a particular region of the atom and the entire Cosmos is one atom of 231Pu. So the Strong Force pairs with the Weak Force to make a Nuclear region Coulomb force. That leaves the Electron Space unaccounted for where gravity exists. Gravity is just the Coulomb force of Electron Space and its paired partner is Antigravity. So, now, let me combine Knot theory with Gravity. The motion of planets, of stars and of galaxies is due to gravity which is a pull of masses. But, now, we can replace the idea that mass bends space and pulls other masses towards it. IN this vision of Gravity is that Space is electron space which is Riemannian geometry and so a thing of mass wants to travel in a straight line but because Space is Electron-Space it is already highly curved. Take a look at any electron orbital and they are all Riemannian highly curved spaces. So the Sun and its planets are pieces of the electron dot cloud. They are pieces of the electrons of the 5f6 and they are moving in that electron orbital of Riemannian geometry. And there is no straighten out of the motions of pieces of the electrons. The fact that EArth revolves around the Sun is not because the mass of Sun pulls EArth towards it, but because the Sun and EArth are a tiny part of the 6 electrons of the 5f6 and those electrons bend space into Riemannian curvature. Motion in Riemannian geometry is knots. Every time the Earth makes a revolution around the Sun is not because of a force of Gravity that pulls planet to star but because planet and star are a part of a electron which has bent space. So Knot theory is a practical observation test of the overall geometry of the Universe and it can tell us the inner workings of the Force of Gravity. Plus, as I mentioned in 1999, that Knot theory can tell us much about particle physics because in a sense, a knot is a particle. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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Archimedes Plutonium wrote in
: I ran an experiment several weeks ago with putting the electrical cord around the inside of the building so that there was as few loops as possible. In other words to storage the cord as one long straight line. Someone showed me a trick with a cord to store it without knots. start in the middle, walk away from the ends. you now have a big inverted 'U'. allow the U to close. take the 'loop' in one hand. pass it around and through the doubled lines, making a knot with a loop on one side and the long tails of the U on the other. Reach THROUGH the loop and grab the tails near the knot and pull a new loop through the loop. reach through this loop and repeat. NOTE: you never pull the ENDS of the tails through any loop as that would make knots. You end up with a 'chain of loops' that can be stored without tangling. When you want to use the extension cord, you just pull the ends out of as many loops as are needed. -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
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On Thu, 24 Mar 2005 10:49:52 +0000 (UTC), bz wrote:
Someone showed me a trick with a cord to store it without knots. start in the middle, walk away from the ends. you now have a big inverted 'U'. allow the U to close. take the 'loop' in one hand. pass it around and through the doubled lines, making a knot with a loop on one side and the long tails of the U on the other. Reach THROUGH the loop and grab the tails near the knot and pull a new loop through the loop. reach through this loop and repeat. NOTE: you never pull the ENDS of the tails through any loop as that would make knots. You end up with a 'chain of loops' that can be stored without tangling. Cool! Are there pictures online of this process? I'm not sure I followed it precisely -- Giuseppe "Oblomov" Bilotta "I weep for our generation" -- Charlie Brown |
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Giuseppe Bilotta wrote in
: On Thu, 24 Mar 2005 10:49:52 +0000 (UTC), bz wrote: Someone showed me a trick with a cord to store it without knots. start in the middle, walk away from the ends. you now have a big inverted 'U'. allow the U to close. take the 'loop' in one hand. pass it around and through the doubled lines, making a knot with a loop on one side and the long tails of the U on the other. Reach THROUGH the loop and grab the tails near the knot and pull a new loop through the loop. reach through this loop and repeat. NOTE: you never pull the ENDS of the tails through any loop as that would make knots. You end up with a 'chain of loops' that can be stored without tangling. Cool! Are there pictures online of this process? I'm not sure I followed it precisely Knot yet! I guess I should make some and post them on my web site. Maybe someone else has done it already. It makes a 100 ft extension cord 'easy' to handle and keep untangled' Well, I guess I been knotty, cause you asked and here is a short cord that has been looped as per the instructions. (except I didn't quite start in the exact center, so the ends aren't both in the picture. http://chemistry.lsu.edu/bz/snap0103.jpg Does that help? -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
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On Thu, 24 Mar 2005 18:44:41 +0000 (UTC), bz wrote:
Knot yet! I guess I should make some and post them on my web site. Maybe someone else has done it already. It makes a 100 ft extension cord 'easy' to handle and keep untangled' Well, I guess I been knotty, cause you asked and here is a short cord that has been looped as per the instructions. (except I didn't quite start in the exact center, so the ends aren't both in the picture. http://chemistry.lsu.edu/bz/snap0103.jpg Thanks. At least now I know how it looks Yes, I was looking for such a site myself, but knot knowing the kname of the knot doesn't help -- Giuseppe "Oblomov" Bilotta "E la storia dell'umanità, babbo?" "Ma niente: prima si fanno delle cazzate, poi si studia che cazzate si sono fatte" (Altan) ("And what about the history of the human race, dad?" "Oh, nothing special: first they make some foolish things, then you study what foolish things have been made") |
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"bz" wrote in message
98.139... Archimedes Plutonium wrote in : I ran an experiment several weeks ago with putting the electrical cord around the inside of the building so that there was as few loops as possible. In other words to storage the cord as one long straight line. Someone showed me a trick with a cord to store it without knots. start in the middle, walk away from the ends. you now have a big inverted 'U'. allow the U to close. take the 'loop' in one hand. pass it around and through the doubled lines, making a knot with a loop on one side and the long tails of the U on the other. Reach THROUGH the loop and grab the tails near the knot and pull a new loop through the loop. reach through this loop and repeat. NOTE: you never pull the ENDS of the tails through any loop as that would make knots. You end up with a 'chain of loops' that can be stored without tangling. When you want to use the extension cord, you just pull the ends out of as many loops as are needed. I was a stage hand for a long time and wound hundreds of miles of microphone cable using the "Over/Under" method described at: http://tinyurl.com/6ujyf This works great as it puts alternating twists into the cable that cancel each other out without making any kinks or sharp bends in the cable. Works great, that is unless you pull from the wrong end when you take it out again, in which case you get a nice string of knots. Dave Reckoning Noblesville IN |
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Archimedes Plutonium wrote: This is the title of my File 025 "Knot theory as the math helper for the internal structure of physics particles such as photons, electrons and to tell the geometry of the overall Cosmos" on my website: www.iw.net/~a_plutonium The last time I seemed to dig into this subject was 1999 but it was What two knots are homeomorphic? |
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Schoenfeld wrote: Archimedes Plutonium wrote: This is the title of my File 025 "Knot theory as the math helper for the internal structure of physics particles such as photons, electrons and to tell the geometry of the overall Cosmos" on my website: www.iw.net/~a_plutonium The last time I seemed to dig into this subject was 1999 but it was What two knots are homeomorphic? I am everywhere in almost all important issues of science, from superconductivity to human cloning. From unification of physics forces to what is religion. From solving what created humans out of primates-- Stonethrowing theory to how the Solar System was formed. I spent much time on many proofs in mathematics from Poincare Conjecture to Riemann Hypothesis, from 4 Color Mapping to FLT. Much of this is on my website; www.iw.net/~a_plutonium And you expect me to have some minute trivial detail at the tip of my finger. Some detail that required most of your career in thinking and you expect me to answer at the flip of a post. So let me ask you a question. Prove that a long string or long electrical cord layed out straight in a long line. We want to storage it in a tight corner so that we can just throw it in there and when we want to use it again just grab it out and lay it long and untie the knot in its center and that will be the only knot found in this stored rope or cord. STorage Knot: lay the rope in a straight line. GRab one end and lay it against the other end forming 1 loop. Fold again so the hand now has the two ends and the 1st loop. Keep doing that until the rope is of a nice storeable length. Now take the end which has the two ends and fold it into the center of the length and use the ends to tie a knot in the center. Finished. Throw the rope into the storage space. When we want to use it, pull it out, stomp on it, throw it around. Even try to tangle it. But it will not knot any further than the single knot in the center because the loops cannot form a knot. So, Schoenfeld, can you prove that the above is the "most simple" means of storing a rope or cord and never gain a second knot? CAn you prove that? Perhaps that is what your question of homeomorphic is all about. But I do not have the time for details, that is what mathematics professors are paid to do. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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