Tuesday, November 7, 2017

A Little As To Chern-Simons Cusps

Let's consider an orbifold eigenset, that is here being translated as a discrete metrical-gauge-based Hamiltonian operator -- that is here to transcribe a discrete Lagrangian path of concavity, that is primarily of a concave-up nature, -- to where such a transcription of a cohomological mappable-tracing of a discrete Lagrangian path, is here to be hermitian along such a so-eluded-to gauged-metric, when this is taken in both a Lagrangian-based manner, as well as also in a metrical-based manner, too.  This will then work to mean that such a translation of cohomology at this point in spanned duration, will work to bear no Chern-Simons singularities.  At some point along the projected trajectory of the orbifold, -- as the said orbifold eigenset is here to be mapping-out a primarily generative cohomology, that is here to be smooth in both its euclidean-based and in its homotopic-based torsional eigenindices, -- the discrete Lagrangian-based concavity, that is here to be consequently transcribed, will then be spontaneously perturbated into a Lagrangian-based spike, that will here work to cause the so-stated orbifold eigenset to then change in more derivatives than the number of spatital dimensions that it is moving through.  This eminent Ward-Cauchy-based condition -- of a set of consequent Lagrangian-based Chern-Simons singularities, will then tend to be proximal local to the holonomic substrate of the correlatve orbifold eigenset -- to where there will also tend to be the simultaneous presence of a set of metrical-based Chern-Simons singularities, -- via the vantage-point of a central conipoint.  The larger the orbifold eigenset is, in terms of the Hodge-Index as to the overall quantum of energy that the said orbifold eigenset is here to be comprised of, -- the more of a potential variety of complex-roots that may possibly be extrapolated by the consequent Chern-Simons-based Fourier Transformation, that is of the then ensuing activity of the said orbifold eigenset, over time.  Such a just mentioned "spike" may be described of as a Chern-Simons-related cusp.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

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