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In the current version of QCD the quarks are described by ordinary Diracfields, organized in the following internal symmetry multiplets: the $SU(3)$colour, the $SU(2)$ flavour, and broken $SU(3)$ providing the family triplets.\noindent In this paper we argue that internal and external (i.e. space-time)symmetries are entangled at least in the colour sector in order to introducethe spinorial quark fields in a way providing all the internal quark's degreesof freedom which do appear in the Standard Model. Because the $SU(3)$ colouralgebra is endowed with natural $Z_3$-graded discrete automorphisms, in orderto introduce entanglement the $Z_3$-graded version of Lorentz and Poincar\'ealgebras with their realizations are considered. The colour multiplets ofquarks are described by $12$-component colour Dirac equations, with a$Z_3$-graded triplet of masses (one real and a Lee-Wick complex conjugatepair). We argue that all quarks in the Standard Model can be described by the$72$-component master quark sextet of $12$-component coloured Dirac fields.

Internal quark symmetries and colour SU(3) entangled with Z_3-graded Lorentz algebra