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From: Archimedes Plutonium on 4 Apr 2010 15:28 Remarkable, how I started this book with correcting the Infinitude of Primes proof, then giving a proof of the Precision definition of Finite versus infinite and in these closing pages, predicting the masses of elementary particles. And that is a serendipity predictor, since the LHC in Switzerland is trying to track a Higgs boson. My opinion is that the Standard Model was never Physics but a delusional path. The Standard Model never made any mass predition, zero, zip as far as even predicting the mass of the electron or proton, and here these "delusionals" think that something like a Higgs exists. The Standard Model and Higgs boson is like saying, since Santa Claus exists, then the tooth fairy exists under my pillow. But let me get to this new Predictor, unlike the Standard Model was nothing more than "postdiction commentary". The Standard Model was a ludicrous theory in physics to await the time in which someone really gave a theory that could actually do real predictions. So let me get into it. And what I have to offer is this Logarithmic Spiral set upon a sphere surface or an ellipsoid surface. Here are the main, major ideas to attack the prediction of mass: We have Symmetry Breaking and that is given by the log spiral and the concentric circles on the sphere or ellipsoids. We have to follow this duality rule from the Uncertainty Principle that mass and space are dual pairs. Mass union Space == constant For example, the electron's mass union space = proton's mass union space. In other words, the existence of an elementary particle occurs because it is a balancing act between how much space and mass is apportioned. So for instance: the proton is 938 MeV, and electron is 0.5 MeV. That means the space of the proton is tiny and the electron space is large. Now I am going to make a reasonable assumption that when the proton and electron are in a neutron, that the center of the proton and electron coincide. Here is where I bring in the Symmetry Breaking with the Log-Spiral and the Elliptic geometry surface. The Log-Spiral is Hyperbolic geometry. Now imagine a tiny sphere (electron) inside a bigger sphere (proton) with their centers coinciding. Now place a log spiral on each of these sphere surfaces and the spiral is doing alright until it gets to the equator. Now at the equator the spiral reverses its direction or in physics it has a different charge. Charge is part of this mass to space duality. So here is the problem. How to get the log-spirals on the tiny sphere (electron) and the bigger sphere (proton) which started at the North Pole, how to get those spirals to thence end up at the South Pole. The only way is for the size of the tiny sphere (electron) and the bigger sphere (proton) to have a logarithmic diameter. Notice that the mass of the electron versus the proton is a logarithmic mass disparity. Notice that the muon mass versus proton mass is a logarithmic mass disparity. What I mean is that muon at about 100 and proton at about 1000 is 3^4 versus 3^6. But getting back to the electron and proton, there log-spirals start at the North Pole, and they reach the South Pole. Both particles are stable, meaning that they are on a sphere surface not a oblate sphere or a ellipsoid or a combination of ellipsoid and sphere. So here is the critical question. At what diameter of a sphere for the electron and what diameter of a sphere for proton, will the log-spiral at the equator spiral into the South Pole exactly? There is only one diameter of a tiny sphere in a bigger sphere, both sharing centers, at which the log spiral emanating from the North Pole and then receding into the South Pole and that diameter is what the electron mass is. Ditto for the proton mass for it fits the diameter of the bigger sphere such that the log-spiral returns to the South Pole exactly. Up till now, I have used the log-spiral with sphere to determine Physics constants such as speed of light, but now I use them to predict and understand why the electron, proton, muon have the masses they have. As far as the Higgs, well, every age or generation of physicists has their delusionists, and our generation is no exception. Funny, how their Standard Model never even predicted the mass of the electron or proton, and yet these delusionists have the gall and gumption to talk about something else. You know, if one cannot do a 10 meter run, why talk about doing a marathon. Summary: So mathematics of the log spiral and sphere surfaces gives two spheres concentric, and then places a log-spiral on both spheres. The question of what diameter of the spheres so that the log-spirals starting at the North Pole will end up at the South Pole. There is a unique diameter for the small sphere (electron) and for the large sphere (proton) so that the log-spiral starts at North Pole and ends up exactly on the South Pole. Those unique diameters is the mass of the electron and the mass of the proton. P.S. Now predicting the mass of the muon requires the log spiral to end up at both Poles, but there is a difference here in that the muon is not stable and decays in 2 x 10^-6 seconds. So what we have here is that of a deformed sphere or an ellipsoid attachment to the 2nd hemisphere to make the log-spiral end up at the South Pole. So the mass of the muon is predicted by a 1st hemisphere sphere, but the 2nd hemisphere is deformed so that the log spiral ends up exactly at the South Pole. So the 2nd hemisphere is ellipsoid in shape. Picture a sphere cut in half and a ellipsoid attachment for the 2nd hemisphere in order for the log spiral to end up at the South Pole. So the log-spiral with concentric circles as duality, predicts the masses of elementary particles. 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 |