Some Stuff As To Mass On Shell

A two-dimensional superstring has a three-dimensional field associated with it. When a relatively knit Fourier Transform, that is highly Laplacian -- forms a toroidal structure with an annulus at its central coniaxial --  the whole Majorana-Weyl supercharge associated with the operation of the associated superstring’s conformally invariant kinematic nature, is delineated, after the group metric occurs, that works to form the basically Gliosis-Sherk-Olive field inferred, at a locus that is proximal to the outer shell-related region, that is of that given M-field, that is associated with the described kinematic differentiation of the given two-dimensional superstring’s three-dimensional field. This takes into consideration the fact, that every superstring, whether it directly partakes of mass or not, has a mass-based index. Such an on-shell supercharge, as taken thru a Fourier Transform that alters both the spin-orbital and the angular momentum distribution, delineation, and directoralization of the associated three-dimensional field toroidal structure, -- works to convert the Yau-Exact indices, in so as to transport these, in such a way, in so as to form a discrete unit of mass when in relation to the M-field structure that I have conveyed. This is tantamount, to that a spherical shell with a physical charge at its center -- delineates all of the energy of its charge along the topography or topology of its directly associated shell. Likewise, the norm state Ward conditions of the annulus of a toroidal 3-D field, that is of a 2-D superstring, -- delineates all of the angular momentum and spin-orbital distribution indices, at the outer shell of that given toroidal
3-D structure. Likewise, the “figure-eight” twisted toroidal structure, that is created by certain fermionic superstrings, forms the point mass of electrons and neutrinos. This mass of certain fermions is created by this: The norm state conditions when considering the Ward conditions of the annuli of the two relatively Mobius ends of such a “figure-eight” that is being described here, have angular momentum and spin-orbital momentum, that transfers their distribution and directoralization indices outward -- to the outer topology of the given “figure-eight-like” structure. The kinematic differentiation of the Yau-Exact indices that are of the said “figure-eight” structure as a whole, causes the given phenomenon to translate, thru the Fourier Transform of the given M-field, thru a Minkowski or Hilbert Lagrangian, its correlative mass indices, into an integration of the corresponding Hamiltonian eigenstates, --  that allow the Kaluza-Klein phenomena, as with 3-D fields of 2-D superstrings, to convert and/or maintain itself as a mass. The abelian geometry of the light-cone-gauge, that is of such Yau-Exact structures, causes the E(6)xE(6) gauge-bosons thence related, to form Schwinger indices -- that keep the M-fields oriented to coalesce their Noether indices into a conformally invariant manner, that then needs to be orientable per each correlative general locus, in order to translate to a proceeding proximal region, in so long as the mass indices that are here associated are limited. Since any M-field needs a limited Lagrangian distribution, in order to delineate its Majorana-Weyl indices over a group metric, --  that is based on either a harmonic nature or an anharmonic nature, of which may potentially not coincide with a group directoralization of Noether flow, unless the associated superstring is orientable, (if it is orientable, it will then tend to be of a Noether Flow), to where the tendency of a mass-bearing superstring, that is here to bear a Kaluza-Klein light-cone-gauge topology, will always go under light speed, per iteration.  Whereas mass that is tachyonic, and thus not of a Noether nature, must become of a Yang-Mills-related nature, in which case is to hold true -- when a correlative mass bears unorientable yet finely directoralized motion, --  via a Ward polarizable dark matter holomorph. Unorientable superstrings may only be as such temporarily, when in a large group -- even if these are Reverse-Lorentz-Four-Contracted. Mass may become Yang-Mills and tachyonic, if its field delineation is majorized.