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We will consider the least-order torsional completion of gravity for aspacetime filled with fermionic Dirac matter fields, and we study the effectsof the background-induced non-linear potentials for the matter field themselvesin view of their effects for both standard models of physics: from the one ofcosmology to that of particles, we will discuss the mechanisms of generation ofthe cosmological constant and particle masses as well as the phenomenology ofleptonic weak-like forces and neutrino oscillations, the problem of zero-pointenergy, how there can be neutral massive fields as candidates for dark matter,and avoidance of gravitational singularity formation; we will show the way inwhich all these different effects can nevertheless be altogether described interms of just a single model, which will be thoroughly discussed in the end.

Least-Order Torsion-Gravity for Fermion Fields, and the Non-Linear Potentials in the Standard Models