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I am trying to get some comments on my Ph.D research here at the
University of Texas at Austin. The title of my dissertation is "A General Solution to the Unrestricted Problem of Three Bodies" and it is on the web at http://home.austin.rr.com/whcii/ There are a total of forty mini-papers on this theme, which don't as much give a formal solution but specify dozens of in depth research projects in Celestial Mechanics leading toward a solution. (Actually all indications are that a solution is not possible at all, but that nature strives to solve it to the extent that the Three Body Problem (3BP) is the equivalent of a physical law.) There are many new ideas posed, from applications of the 3BP in cosmology to quantum chemistry, as well as the astrophysics of relativity and string theory. Central to the theme is the idea of a new Lagrange Point for the 3BP, and a whole series of stability points for the Ten Body Problem - i.e. the solar system. I also have a paper on the "N-1 Body Problem" (N minus one), since the N Body Problem has long since been solved. The most interesting aspect of my research is the mathematical physics of the problem, where I show physical representations of many abstract mathematical concepts - the complex plane, the structure of certain matrices, and other fundamental notions of math theory. One or more of these ideas might lead to a new "integral of motion," which would open up Celestial Mechanics to hundreds, if not thousands, of new papers. As I said, this is my Ph.D dissertation and for all practical purposes this expose on the web is my dissertation defense. I would appreciate any comments you might have. Regards, Bill Clark Austin Texas |
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