On the coupling constants, Geometric Probability and complex domains *. From: Progress in Physics | Date: April 1, 2006| Author: Castro, Carlos | COPYRIGHT 2006 Progress in Physics. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group.Copyright information

By recurring to Geometric Probability methods it is shown that the coupling constants, [[alpha].sub.EM], [[alpha].sub.W], [[alpha].sub.C], associated with the electromagnetic, weak and strong (color) force are given by the ratios of measures of the sphere [S.sup.2] and the Shilov boundaries [Q.sub.3] = [S.sup.2] x [RP.sup.1], squashed [S.sup.5], respectively, with respect to the Wyler measure [[OMEGA].sub.Wyler][[Q.sub.4]] of the Shilov boundary [Q.sub.4] = [S.sup.3] x [RP.sup.1] o...

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