Prev: Slavery. Urban Legend vs. United States law.
Next: No one knows what “God” is, much less if it exists.
From: OsherD on 20 Mar 2010 04:17 From Osher Doctorow Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hirsi Okada, Yusuke Shimizu, Morimitsu Tanimoto of respectively Niigata U. Japan, Kyoto U., the British U. In Egypt, Niigata U. Japan, in "Non-Abelian discrete symmetries in particle physics," arXiv: 1003.3552 v1 [hep-th] 18 Mar 2010, 177 pages, have expanded the paper's Fibonacci/Golden Mean method cited in Quantum Gravity 360.9 to a much wider analysis of GUTS (Grand Unified Theories) of which the Golden Ratio model for flavor mixing is one of them. Most of the above authors' paper is concerned with the Tri-Bimaximal Mixing model of Lepton flavors and similar models rather than the Golden Mean method. The Alternating Group A_4 of 4 elements and the Symmetric Group S_4 on 4 elements are respectively analyzed from the beginning to the "end" so to speak for flavors and quark masses and mixing angles versus compatibility with SU(5) or SO(10) GUTs. Other finite Non-Abelian groups are also studied with similar methods to the A_4 and S_4 methods. Group Representation theory is presented from literally the beginning. I will try to go into more detail regarding points of similarity with Probable Causation/Influence if I have more time available later. Osher Doctorow
From: OsherD on 20 Mar 2010 04:25
From Osher Doctorow The Universities cited in the Ishimori et al paper, if numbered 1 to 4 in sequence, apply respectively to the 6 authors in sequence 1, 2, 2, 3, 1, 4, although Niigata U. Japan seems to be labelled both 1 and 4 in their footnotes. Osher Doctorow |