Saturday, October 14, 2017

Perturbative Homotopic Residue

A set of orbifold eigensets -- that work to form a tense of homotopic residue, that is here to go from expanding in a Clifford-based manner, to then being drawn inward via a cohomological compactification, to then working to bear a Clifford Expansion that is to be drawn outward, and vice-versa, for some proscribed iterative group-related metric, -- is here to be held as a metrical-gauge-based Hamiltonian operation, that is to bear an externalized core-field-density, that is here to be isometric in a symmetrical-based manner, as the directly corresponding cohomologies that are to be formed by the expansion-contraction-expansion-based kinematic-related activity, is to go from basically generating cohomology, to then to be basically degenerating cohomology, to then to be basically generating cohomology, and vice-versa, to where this is to go from initially bearing a radial homeomorphic Clifford Expansion that is to bear individually taken eigenindices of homotopic residue, that are of a Chern-Simons nature in a metrical-based manner, yet potentially hermitian in a Lagrangian-based manner.  This is happening, as the volume of the region that has been traversed through here, is to have increased in its scalar amplitude -- over time.  As the correlative homotopic residue is to compactify in a cohomological manner, the initial  Ward-Cauchy-based conditions of the convergent tense of homotopic residue, is to form both metrical and Lagrangian-based Chern-Simons singularities.  As the cohomological compactification  is to continue in a homeomorphic manner, the Lagrangian-based singularities thus formed, will tend to be hermitian, but not the correlative metrical-based singularities.  And as the homotopic residue of this case is to re-expand, -- there is to initially be both Lagrangian and metrical-based Chern-Simons singularities, in the motion of the eigenindices that had worked to form the initial tense of the said orbifold eigensets -- that is of this particular  case.  Once that the initial correlative tense of the Kahler-Metric has been Yukawa to the holonomic substrate of the said homotopic residue -- in a Gliosisi-based manner, then, the correlative Chern-Simons singularities thus formed, will tend to be of just a metrical-based manner UNTIL the correlative homotopic residue is to bear antiholomorphic Kahler conditions, that work to cause what is to be the ensuing cohomological compactification.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

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