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It is assumed that the non-singular big-bang birth of the Universe as setforth by Einstein-Cartan's theory particularly brought about the appearance ofthe cosmic microwave and dark energy backgrounds, dark matter, gravitons aswell as of Dirac particles. On account of this assumption, a two-componentdescription of the motion of quarks and leptons prior to the occurrence ofhadronization is presented within the framework of the torsionful{\epsilon}-formalism of Infeld and van der Waerden. The relevant fieldequations are settled on the basis of the implementation of conjugate minimalcoupling covariant derivative operators that carry additively typicalpotentials for the cosmic backgrounds such as geometrically specified in aprevious work. It appears that the derivation of the wave equations whichcontrol the spacetime propagation of Dirac fields at very early stages of thecosmic evolution, must be tied up with the applicability of certain subsidiaryrelations. The wave equations themselves suggest that quarks and leptonsinteract not only with both of the cosmic backgrounds, but also with darkmatter. Nevertheless, it becomes manifest that the inner structure of theframework allowed for does not give rise at all to any interaction betweengravitons and Dirac particles. The overall formulation ascribes anintrinsically non-geometric character to Dirac's theory, in addition toexhibiting a formal evidence that dark energy and dark matter must havepartaken of a cosmic process of hadronization.

A Torsional Two-Component Description of the Motion of Dirac Particles at Early Stages of the Cosmic Evolution