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From: OsherD on 5 May 2010 01:43 From Osher Doctorow B. Tatischeff and I. Brissaud of CNRS France, in "Relations between elementary particle masses," arXiv:1005.0238 v1 [hep-ph] 3 May 2010, have found "number theory" equations for almost all elementary particle masses and also predict the Higgs mass and some additional undiscovered elementary particle masses. Everything depends only on the positive integer n (n = 1, 2, 3) of a sequence (quarks or leptons mostly) and on the proton, pion, and neutron masses and the fine structure constant. The typical n factor in the equations is: 1) 2^(2(2-n)) or 2^(2(n-2)) or (n/10)^(1/2) or 2 - n or n(n+1) + 1/2 or 2 + (-1)^n or n^2 - ((n+1)/4)((-1)^n - 1). Quarks are divided into 2 families with 3 quarks each: family 1 (u, c, t) and family 2 (d, s, b), with respective numbering of n = 1, 2, 3 in sequence, etc. There are both equations inside each family and equations between families (for predicting members of the second family from members of the first family). Mass ratios appear typically m_(n+1)/m_n, which readers may find familiar from the Fibonacci ratios Fn+1/Fn and their Gn analogs Gn+1/Gn, etc. of the previous papers in this thread. Osher Doctorow |