Wednesday, February 28, 2018

Chern-Simons Invariants And Orbifolds, Part One

An orbifold eigenset is a set of a discrete quanta of energy, that operate in so as to perform one specific function.  The individually taken discrete quanta of energy -- that work in so as to comprise any one of such so-mentioned orbifold eigensets -- act as being delineated along the outer surface area of the so-stated respective given arbitrary orbifold eigenset, that is of any one respective unique cases.  This is analogous to the physical condition, that if a point-related charge is in the center of a conductive shell -- all of that charge is here to be delineated at the outer surface of that shell.  Next -- let us consider a given arbitrary orbifold eigenset, that is here to bear both hermitian Lagrangian-related singularities and hermitian-related metrical singularities, -- over an evenly-gauged Hamiltonian eigenmetric.  This would then mean, that the said orbifold eigenset of such a respective case, is to be transferred in this case -- via a Rham (De Rham) cohomology, -- as it is here being conducted through a sequential series of group-related instantons, in the course of a correlative Fourier Transformation.  Let us next say that the said respective orbifold eigenset, is to consist of a relatively significantly large Hodge-Index of discrete energy quanta.  This means that there are here to be many individually taken discrete energy quanta that are here to work to comprise the respective orbifold eigenset -- that is of such a case.  The orbifold eigenset is to here to behave as one particular genus of field, over the directly corresponding relatively transient evenly-gauged Hamiltonian eigenmetric.  The said individually taken discrete quanta, that are here to work to comprise the respective orbifold eigenset, are here to be delineated in a spatial-related covariance -- per each individually taken group-related instanton, in such a manner -- to where the angular-canonical flow that may be extrapolated, when this is taken in comparison to the layer of proximal locus, that these said discrete energy quanta are here to work to bear, -- when these are here to be compared to each other in a Laplacian-related manner, per each individually taken iteration of group-related instanton, in which such an orbifold eigenset is to here to be undergoing the earlier mentioned evenly-gauged Hamiltonian eigenmetric, is here to work to gauge, to an extent -- where the correlative discrete quanta of energy that are here of the same universal setting, that are here to work to comprise  their integral-related individually taken parts of the same orbifold eigenset of such a case --are then to be placed at, per each succeeding iteration of group-related instanton.
I will continue with the suspense later!  To Be Continued!  Sincereley, Samuel David Roach.

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