Certain laws of physics work to govern the general tendency and ability of superstrings of discrete energy permittivity to vibrate in the manner of which these happen to vibrate in. The vibration of a superstring, when at the metrical indices in which these iterate at group instanton, is controlled by the condition of bearing either an annharmonic or a harmonic oscillation -- for one-dimensional superstrings and for two-dimensional superstrings, respectively. All superstrings of discrete energy permittivity, at the eluded to indices of iteration of group instanton, bear at least some sort of tendency of torsion -- as is according to certain respective eigenbases -- for either one-dimensional superstrings in one general manner, and, for two-dimensional superstrings in another general manner. Depending upon the various spatial conditions that work to govern the said respective superstrings of discrete energy permittivity, there is a certain amount of variety as to what the correlative eigenbases may be. This would thus work to correspond to a general tendency for harmonic eigenstates for two-dimensional superstrings, and, this would thus work to correspond to a general tendency for annharmonic eigenstates for one-dimensional superstrings. Such bases would work to correlate the eigenspace that directly corresponds to the activity of each superstring, over the course of each succeeding iteration of group instanton in which these kinematically differentiate in per correlative iteration. The changes in Ward-Caucy denotations that work to describe the activity of the directly associated superstrings works to describe the both the harmonic oscillation of two-dimensional superstrings over the course of the eluded to iterations, and, the annharmoanic oscillation of one-dimensional superstrings over the course of the eluded to iterations. This denotation works to describe the various degrees of both the torsioning of the superstrings and the format as to how and to what degree that the here directly corresponding superstrings, bear their respective geni of having a basis of swivel-shape, along the topological contour of the said superstrings. These various conditions that work to both form and to also describe the harmonics and the annharmonics of the respective two and one-dimensional superstrings -- at the multiplicit iterations of group instanton -- is either hermtian, when the motion of the directly corresponding superstring moves smoothly through space, or, it is Chern-Simmons, when the motion of the directly corresponding superstring bears spurs in its Lagrangian-based path -- over a sequential series of iterations. Yet, even if the eluded to Lagrangian-based path is hermitian, if there is any annharmonics in the metric of the redelnieation of any given arbitrary superstring -- as it is being redistributed over time, then, there will be at least some Chern-Simmons singularities, when in terms of the mapping of the motion of the said superstring over the eluded to duration of time. The directly prior condition is true, whether the superstring is two-dimensional or one-dimensional -- even though two-dimensional superstrings at iteration vibrate harmonically and one-dimensional superstrings vibrate annharmonically, during the very course of the multiplicit iterations of group instanton, taken per individual iteration of group instanton, in and of itself. When a superstring, over a sequential series of instantons, is Yau-Exact, when in terms of both it Lagrnagian-based path being hermitian and its metical based Hamiltonian operation being hermitian, then, it is said to have obeyed Chan-Patton rules. A superstring will always tend to be of a Noether-based flow if it is obeying Chan-Patton rules, yet, not all Noether-based superstrings obey Chan-Patton rules. So, when a superstring becomes tachyonic, it will then digress from Chan-Patton rules.
To be continued! I will continue with the suspense later! Sincerely, Samuel David Roach.
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