Part One to an Aside As To Differential Operators

Let us consider certain given arbitrary differential operators, that are based on the extrapolation of exact and linear associations of first-ordered point particles -- that are from within their substringular neighborhoods.  If the so-eluded-to point commutators work to form exact differential associations, in so as to work at making-up the holonomic substrate of superstrings of discrete energy permittivity, and in a Laplacian-based manner -- these tend to be at a minimal distance apart.  This is to where, at least, under the eluded-to premiss of this respective given arbitrary scenario, this situation calls for every three directly correlative first-ordered point particles -- that are here considered in one genera of holomorphic homotopic-based extrapolation,  that will here work to bear a genus of one set length.  If a differential association of such first-ordered point particles is then, indeed, here, of a linear-based nature (this is when such a consideration works to include the natural curvature of space-time-fabric), then, you may say to where one is to extrapolate a "straight" line from one end of the so-stated association -- to the other.  Yet, on account of the condition of space-time-curvature, the linearity of superstringular phenomena does not tend to be of a Wilson-based linearity. This is part of as to why superstrings bear at least some of what may be termed of here as "partitions", or, separations of space that exist from within the Ward-Neumman bounds of the multivarious superstrings, that are prominent on account of the condition just mentioned -- that space-time-curvature is needed in order for gravity to exist in any manner at all.  These partitions also work to cause the condition, that the conformal dimension of any given arbitrary one-dimensional superstring of discrete energy permittivity -- for all practical purposes -- is exactly one, yet, it is not literally exactly one. -- This works to enfold the condition that there is not any perfectly flat subtension of linearity, that has no topological sway in both its side-to-side and in its to-and-fro.  Also, these partitions work to cause the condition that the conformal dimension of any given arbitrary two-dimensional superstring of discrete energy permittivity -- for all practical purposese -- is exactly two, yet, it is not literally exactly two. -- Again, this works to enfold the condition that there is no perfect flat subtension of linearity, that has no topological sway in both its side-to-side and in its to-and-fro.  These so-called "partitions" also work to cause the activity of the manner of topologicl sway, that is inherent in the nature of superstrings, as these said strings undergo the multiplicit conditions of Lorentz-Four-Contractions. -- The higher the contraction, the lower the number of inherent partitions, the more of a tendency of the nature of both the linearity in the correlative one-dimensional superstrings and the smooth-curvedness in the correlative two-dimensional superstrings.  The lower the contraction, the higher the number of inherent partitions, the less of a tendency of the nature of both the linearity in the correlative one-dimensional superstrings and the smooth-curvedness in the correlative two-dimensional superstrings. To Be Continued!  I will continue with the suspense later!  Sam Roach.