  A new pure quantum state, isotropic in spin variables, is defined in an
extended spin phase space beyond standard quantum mechanics. It allows to
represent the entangled singlet state in separable form. The statistical
correlations between Alice and Bob measurements become self correlations
between hidden spin values for each particle, together with perfect anti
correlation between spin values on the pair. Alice determines through
measurement on her particle the value of spin in some direction. Spin in
another direction is inferred from Bob measurement on the companion. Bell's
inequalities are violated because of the wave like behaviour of quantum
systems. In full analogy with the two slit experiment, interference terms
between spin field components appear determining the contextual character of
quantum distributions of probability.
