This document reworks and deepens a twenty-two-year-old intuition betting that the neutrinos can be indirectly related to gravitational polarisations. Respecting the usual practice, this idea is tested with the variations of the Newtonian fields. The quadrupolar tensor [Q] enters the discussion in two different ways: (i) through the calculation of its Jacobian matrix and (ii) in studying the Thirring-Lense effect far from a massive body in rotation. This fact suggests the existence of a link between this Jacobian and the rotations in general. The whirl tensor (syn.: rotational) acting on a generic cross product g is then interpreted as a deformation acting on this classical cross product. This approach allows identifying the Jacobian matrix with the kern of decompositions for rotr g. It finally extrapolates this idea to any acceleration-field in examining the conditions allowing an identification between any Jacobian matrix and ordinary Perian matrices. In following this track, some progresses on the road joining the acceleration-fields and the subatomic world are realized.