The top quark to electron mass ratio m(t) = 18*m(e)/alpha2 where alpha = e2/hslash*c
Malcolm H. Mac Gregor
Abstract
Threshold-state elementary particle lifetimes exhibit a scaling in powers of alpha = e2/hslash*c, and a reciprocal electron-based 1/alpha scaling in particle masses that extends over two powers of 1/alpha. The m(e)/alpha coupling generates accurate q = (u,d), s, c, b quark masses for particles up to 11 GeV. The m(e)/alpha2 coupling creates the "alpha-quarks" qalpha = q/alpha that reproduce the top quark mass and average W+-, Z0 doublet mass. The calculated Bc mass is 6303.3 MeV/c2, and the lattice QCD value is 6304 +- 12 MeV/c2. The calculated and experimental top quark masses are m(t)calc = 18*m(e)/alpha2 = 172.73 GeV/c2 and m(t)exp = 172.5 +- 2.3 GeV/c2.
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