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The Bose--Fermi recoupling of particles arising from the $\bZ_{2}$--gradingof the irreducible representations of SU(2) is responsible for the Pauliexclusion principle. We demonstrate from fundamental physical assumptions howto extend this to gradings, other than the $\bZ_{2}$ grading, arising fromother groups. This requires non--associative recouplings where phase factorsarise due to {\it rebracketing} of states. In particular, we considerrecouplings for the $\bZ_{3}$--grading of SU(3) colour and demonstrate that allthe recouplings graded by triality leading to the Pauli exclusion principledemand quark state confinement. Note that quark state confinement asserts thatonly ensembles of triality zero are possible, as distinct from spatialconfinement where particles are confined to a small region of space by a {\itconfining force} such as given by the dynamics of QCD.Comment: 15 pages, 4 figure

Quark state confinement as a consequence of the extension of the Bose–Fermi recoupling toSU(3) colour