Test Solution To The First Question Of The Last Test Of Course 19 -- The Klein Bottle And Orbifold Differentiation

1)  The holonomic substrate of an eigenstate of the Klein Bottle -- whose cohomological mappable tracing works to form what is generally conceived of as being the actual Klein Bottle -- is comprised of in the following manner:  One is to have a set of orientifolds, that is of two adjacent interconnected sets of world-sheets, -- that each bear a Wilson Linearity, that is of a rectangular-based nature, and this so-stated rectangular interconnection has a length that is four times the Planck Length, and two times the Planck Length in width.  The so-called "length" of such an entity, is delineated in a Laplacian-based manner -- in the relative holomorphic direction, while, the same so-called "width" of such an entity, is delineated from the relative reverse-norm-to-holomorphic direction, up to the relative forward-norm-to-holomorphic direction -- in a Laplacian-based manner.  The ends of such a holonomic substrate, are connected by a pair of orientifolds -- that have a relative "height" of the earlier mentioned two Planck Lengths, and this so-stated entity of holonomic substrate -- has a relative thickness -- that works to interconnect its length and height (the "height" of which is here the so-proscribed "width") -- that is of a Laplacian-based scalar magnitude of one Planck-Length.  The so-eluded-to structure of the said holonomic substrate, is as a parallelopiped, that has an open top, in so as to work to allow for the capacity of the here entering discrete energy quanta, that is to act in so as to reattain its fractals of discrete energy, to be able to enter into the Ward-Caucy bounds of the said holonomic substrate-affiliated eigenstate of the Klein Bottle, to be able to have the wherewithal to enter in here as such.  The motion of such an eigenstate of  holonomic substrate, works to form a respective genus of a cohomological mappable tracing -- that behaves as what is actually conceived of, over time, as the actual Klein Bottle eigenstate.  I will explain the shape of such a cohomological mappable tracing, in the process of answering a further test question later.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.