Sunday, December 8, 2019

Solitons And Hyperbolic Convergence

Solitons are a tense of a wave-packet.  In the substringular, a soliton tends to exist in the form of a complex manifold.  Like many other different types of Ward-Cauchy-related phenomenology, solitons work to bear a holonomy, that exists in the form of a convergence of substringular core-field-density, -- that may here be expressed as being of one genus or another, of a cotangent bundle of a given arbitrary tense of spatial dimensionality.  Since a substringular tense of a soliton, is here to be of the essence of a complex manifold, -- the convergence of substringular field eigenstates -- that is here to be in the form of the correlative convergence of mini-stringular segmentation, upon the holonomic substrate of that directly corresponding cotangent bundle, that is here to be expressed as the here inferred superstringular soliton of such a given arbitrary respective case,  is consequently to bear a greater scalar amplitude of a hyperbolic approach, towards the Poincare level of the topological surface of the here implied holonomic substrate of this stratum of the said substringular soliton, than there would otherwise be in the case of a similar but different approach, if one were, instead, to be considering what the hyperbolic approach would be, of the convergent superstringular core-field density -- in the form of incoming netted mini-stringular segmentation -- towards the Ward-Cauchy-related stratum of a substringular field, that is to be of a more Real Riemannian tense of a dimensional nature.  One could consequently venture to say -- that the convergence of subsringular core-field-density upon the resultant cotangent bundle of a soliton, will then tend to bear a greater scalar amplitude of acting in such a manner, that behaves like a Laplacian-related Inverse Clifford Expansion, than such an otherwise tense of a convergence of substringular core-field-density would behave as, again, if it were to otherwise be of more of a Real Riemannnian nature.   To Be Continued!  Samuel David Roach.

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