Tuesday, March 29, 2016

Part One of Session 12 Of Course 19 -- The Klein Bottle And Orbifold Differentiation

A Yang-Mills light-cone-gauge topology is, by definition, a non-abelian light-cone-gauge topology.  A Yang-Mills or a non-abelian light-cone-gauge topology, works to bear -- along the topological surface of each of the individually taken second-ordered light-cone-gauge eigenstates, that work to comprise any one given arbitrary respective first-ordered light-cone-gauge eigenstate -- chord-like segmentation, that exists in a Laplacian-based manner, that has the characteristic of having 60 sinusoidal affiliated loops (60 peaks and 60 troughs) that are then formed, along the so-stated topological surface of the said second-ordered light-cone-gauge eigenstates -- during the multiplicit gauge-metric that is to occur, that happens over the directly pertinent sub-Fourier-based activity of BRST.  During the so-eluded-to iteration of BRST, when such so-stated sinusoidal loops are to exist in a Laplacian-based manner, during the respective majority of one iteration of instanton -- the directly affiliated gauge-bosons will then work to "pluck" the directly associated second-ordered light-cone-gauge eigenstates, at the correlative peaks of harmonic disturbance, of each of the so-stated sinusoidal-based topological holonomic substrate, in so as to work to form the directly associated third-ordered Schwinger-Indices.  (Such a disturbance, will be consistently at either the relative "peaks" or at the relative "troughs" of the said sinusoindal waves -- at one respective given arbitrary cite of a correlative second-ordered light-cone-gauge eigenstate -- depending upon where the peak of the harmonic disturbance is at, along the topological surface of the directly pertinent said light-cone-gauge eigenstates.)  Often, as a phenomenology that works to bear a Yang-Mills light-cone-gauge topology, is to exist in a tense of relative conformal invariance, such a correlative tense of a light-cone-gauge eigenstate will then tend to work to bear a tense of a set of Gaussian-based Ward-Caucy conditions -- that are supplemental to the Gaussian set of Ward-Caucy-based conditions that would exist for a phenomenology that would otherwise be of a Kaluza-Klein light-cone-gauge topology.  This is because a Kaluza-Klein topology is of an abelian light-cone-gauge topology, while a Yang-Mills topology is of a non-abelian light-cone-gauge topology.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

No comments: