Friday, March 11, 2011

More About On-Shell Mass

A two-dimensional superstring has a three-dimensional field associated with it. When                                                                                                
                        
a relatively knit Fourier Transform that is highly Laplacian forms a torroidal structure

with an annulus at its central coniaxial, the whole Majorana-Weyl supercharge associated

with the operation of the associated superstring’s conformally invariant kinematism

is delineated, after the group metric that forms the basically Gliossi-Sherk-Olive field

described, at the outer shell general locus of that given M-field that is associated with

the described kinematic differentiation of the given two-dimensional superstring’s three-

dimensional field. This considers the fact that every superstring, whether it partakes

of mass or not, has a mass index. Such an on-shell supercharge as taken thru a Fourier

Transform that alters the spin-orbital and angular momentum distribution, delineation,

and directoralization of the associated three-dimensional field toroidal structure converts

the Yau-Exact indices transport in such a way as to form a discrete unit of mass as

to the M-field structure that I have conveyed. This is tantamount to that a spherical

shell with a physical charge in its center delineates all of the energy of its charge along

the topography of its associated shell. Likewise, the norm state Ward conditions of

the annulus of a toroidal 3-D field 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 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 the “figure-

eight” described 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 of the “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 mass indices into an integration of Hamiltonian eigenstates that allow

the Kaluza-Klein phenomena, as with 3-D fields of 2-D superstrings, to convert and/or

maintain as a mass. The abelian geometry of the light-cone-gauge of such Yau-Exact

structures causes the E(6)xE(6) gauge-bosons related to form Schwinger indices that

keep the M-fields oriented to coalesce their Noether indices into a conformally invariant

manner that has to be orientable per general locus in order to translate to a proceeding

general locus as long as the mass indices 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 a harmonics or anharmonics that may not coincide with a

group directoralization of Noether flow unless the associated superstring is unorientable,

Kaluza-Klein mass is always under light speed, per iteration, and mass must become

Yang-Mills as in a worm-hole or Yang-Mills also, if otherwise tachyonic, which is true

when 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 Reverse-Lorentz-Four-Contracted. Mass may become Yang-

Mills and tachyonic if its field delineation is majorized.                                                                                                                                                                                                                    

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