Plasma astrophysical considerations on geometrical structure of point particles

A unific helical field as geometric structure in an internal space is proposed which has the ability to serve attributes inherent to point particles. Transition between our observational space and the warped infinitesimal space is considered in an operational fashion. It is seen, that rotational eigenvalue equation satisfied by the vector field equivalent to Gromeka-Beltrami flow familiar to plasma astrophysics provides a spatio-unifier that sustains complex orthogonal coupling between rotational, internal coordinate space and angular momentum space. Self-consistent normalization of the rotational coordinate owing to the unifier is compared to renormalization of quantum electrodynamics. A numerical value comparable to the electromagnetic coupling constant in the nonrelativistic limit is derived from theoretical analysis involving the rotational eigenvalue that charged leptons should internally refer to. It is found that chiral asymmetry of the helical eigenflows can be reflected in electroweak symmetry breaking. This study might provide a key to settle geometrical problem of preceding theories accommodated by extra-dimensions of space.
Comment: 19 pages; major revisions, results unchanged