Monday, November 2, 2015

An Elaboration As To My Last Post

Let us here, first consider the physical situation of which I ended-up mentioning in my last post.  One will here have a diamond-like shape, that is situated right above an arbitrary horizonal axis -- this just mentioned axis of which is here to be considered arbitrarily as the x axis.  Let us now say that this said diamond-like shape were to have, as well, a trivially isomorphic diamond-like shape -- that is to be situated just below the first so-stated diamond-like shape, on the negative quadrant of what may be termed here as an arbitrary y axis.  Now, let us say -- that one were to bear a Laplacian-based shift of the two said entities that have been mentioned here, as bearing a diamond-like shape -- to where the so-stated relative top diamond-like configuration that is situated in the positive y quadrants, will bear an integration of indices, that are pulled both around and "into the page" from its initial flat-space-like initial configuration, -- while there will, simultaneously, from the vantage-point of the center of the so-eluded-to coniaxion, be the condition of the so-stated relative bottom diamond-like configuration -- that is situated in the negative y quadrants, working to bear an integration of indices, that are pulled both around and "out of the page" from its initial flat-space-like initial configuration.    The annulus that I am about to mention will act as the so-eluded-to "washer." As I have here eluded-to -- the volume-based region that goes Into the page may be considered here as the region for a relative positive z-based region, while, the volume-based region that goes Out of the page may be considered here as the region for a relative negative z-based axial region.  Besides both the x axis, the y axis, and the z axis -- three other spatially-based coniaxial directorals (l hat, m hat, and n hat, arbitrarily) are to be integrated into the coming together of the Laplacian-based picture of this respective given arbitrary situation.  The last two of such so-eluded-to spatially-based coniaxial directorals (directly associated here arbitrarily to m hat and n hat, in this given arbitrary case), are of a curled-up nature.  Consider this spatial integration of indices -- that are integrated as I have suggested -- to work at forming a toroidal-based entity.  The annulus of the toroid may be considered here, to be bearing in a relative holomorphic-based manner -- as is going from just outside of the relatively antiholomorphic end of the very center of the said toroid, on the i hat directoral positioning -- that would here tend to be centered as is going right from a spot proximal to the x axis -- while then going, in a holomorphic and a relatively left-moving manner, until it works to exit the Ward-Neumman bounds of the holonomic substrate of the entity of the so-stated toroidal-based shape, that is of this said given arbitrary Laplacian-based example.  Since this particular example works to include the conical-based edges of the so-stated diamond-like shapes, that I have here mentioned -- the so-stated toroidal-based  structure that I have just mentioned as forming, will be as a theoretical genus of a toroidal-based cohomology, that works to bear certain conical cyclic permutations -- that may be extrapolated in a Laplacian-based manner.  This would be similar but different to the GSO type of a ghost anomaly -- that may be formed by the physical memory of a superstring of a mass-bearing eigenmember, that is from the Ward-Caucy bounds of an electron -- that would be probable as existing in a condition of a respective given arbitrary tense of a Majorana-Weyl-Invariance-Mode -- over a directly corresponding Fourier-Transformation, in which such a superstring that is differentiating in a kinematic manner, over time, is undergoing the general process of conformal invariance.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

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