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The main aim of this paper is to explain why the Weinberg-Salam angle in the electro -weak gauge group satisfies ( ) W θ = 1 sin 2 . We study the gauge potentials of the electro-weak gauge group from our wave equation for electron + neutrino. These potentials are space-time vectors whose components are amongst the tensor densities without derivative built from the three chiral spinors of the wave. The ( ) ( ) U SU × 1 2 gauge invariance allows us to identify the four potential space-timedoi:10.4236/jmp.2015.614215 fatcat:xoyjxhat7zcoxcrbizkmdtri5u