Orbifold Eigensets And Orientable Manifolds

Whenever an orbifold eigenset is conditioned to be of an unorientable nature -- this will then be of such a Ward-Cauchy-related condition, to where -- those discrete energy quanta that are to work here to act, in so as to comprise the said orbifold eigenset, are to be, as well, of an unorientable nature.  Yet, consequently, whenever the superstrings of discrete energy permittivity -- that are to here to be of a directly corresponding orbifold eigenset -- are to be conditioned to be of an orientable nature, then, the correlative respective orbifold eigenset as a whole, will, as well, act in so as to be of an orientable nature.  Gauge-Bosons will always tend to work to display, the same number of spatial dimensions, as whatever the number of spatial dimensions that the directly corresponding core field that the multiplicit affiliated superstring of discrete energy permittivity will then tend to display.  Consequently -- since the core field of any one given respective superstring of discrete energy permittivity, is to tend to have one more spatial dimension than such a said string, -- not only is an orbifold eigenset to tend to bear just as many spatial dimensions as all of the individually taken superstrings of discrete energy permittivity, that are here to work to comprise the said eigenset, -- yet also, -- all of the gauge-bosons that are here to be most directly affiliated with such an orbifold eigenset, will tend to bear one more spatial dimension than the orbifold eigenset will tend to have, at an internal reference-frame.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.