Even if a superstring is to smoothly alter the rate of its pulsation from its vibrational oscillation, from one iteration of group instanton to the next -- in a successive series of the so-stated instantons -- the superstring is said to bear spurious Chern-Simmons singularities. (The said given arbitrary superstring will then here bear metrical-based singularities.) So, if a superstring were to go from an optimum vibrational-based eigenstate of pulsation, to one genus of elongated pulsation in its next locus of vibrational oscillation, to the next genus of elongated pulsation in its next locus of vibrational oscillation -- in the course of three successive iterations of group instanton, to where such a rate of perturbated pulsation is smooth, yet accellerated, then, the so-eluded-to superstring will bear correlative metrical-based Chern-Simmons singularities. In the course of what I have just here explained, the superstring will go from an otherwise so-to-speak Yau-Exact basis of singularity in its first respective iteration, to having a non-hermitian metrical-basis of singularity -- that would here involve a 0+ singularity, to having a non-hermitian metrical-basis of 0+^2 singularity, in relation to the initial optimum vibrational oscillaton-based pulse -- over the course of three consecutive iterations of group instanton, in this given arbitrary case. So, if instead, the said respective given arbitrary superstring did as before, yet, afterwards, went into a pulsation that jerked into one genus of abridged vibrational oscilation from the so-eluded-to rate of pulsation, into pulsating into two geni of abridged vibrational oscillation from an optimum rate of pulsation, in the course of the then proceeding iteration of group instanton, then, the singularities would go from bearing a spurious attribute of 0+, to 0+^2, to infinity+, to infinity+^2, over the course of five consecutive respective given arbitrary iterations of group instanton. This would, in and of itself, work to indicate metrical-based singularities that are independent of any potential Lagrangian-based singularites, that could also be involved here. A metrical-based singularity is also known of as a spurious Chern-Simmons singularity. Yet, this does not rule out the potential condition that spurious Chern-Simmons singularities may often be effected by Lagrangian-based singularities. This would be dependent upon the directoral permittivity and the directoral impedance, of the flow of both the so-eluded-to metrical-based singularities and the eluded-to Lagrangian-based singularities -- that would thus be involved here. This would mean that there are possibly Hodge-Indices of singularity that may be either added as integer-based additives of singularity, or, added as irrational-based additives of singularity -- depending upon both whether or not metrical-based singularites and their correlative Lagrangian-based singularities are trivially isomorphic or not, and, whether the so-eluded-to singularities are more appertaining to either the Hamiltonian-operation of its Planck-Length or the Hamiltonian-operation of its Planck-Radii -- or appertaining to both the Hamiltonian-operation of both its Planck-Length and its Planck-Radii.
I will continue with the suspense later! To Be Continued!!! Sincerely, Sam Roach.
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