Friday, January 16, 2015
Part Two of Getting the Hang of the Light-Cone-Gauge
Let us now consider a given arbitrary one-dimensional superstring of discrete energy permittivity's directly corresponding light-cone-gauge eigenstate. The here eluded-to first-ordered light-cone-gauge eigenstate is comprised of five second-ordered light-cone-gauge eigenstates. Each of these so-mentioned second-ordered eigenstates is comprised of a linearly displaced chord-like composition of twenty-four mini-stringular strands that are bunched together in so as to bear a maximum degree of scalar magnitude of compactification, that is at the very beginning of any directly affiliated start of any given arbitrary iteration of BRST, in which such a directly affiliated so-eluded-to topological-based holonomic stratum is unfrayed -- when such a consideration is taken at the Poincaire level that is Gliossi to the so-stated topological surface of the so-stated chord-like phenomenology. Each of the said second-ordered light-cone-gauge eigenstates are "plucked" during BRST by sixty gauge bosons over the course of any given arbitrary duration of group-related instanton -- in which such a general genus of activity here involves a correlation with a respective one-dimensional superstring of discrete energy permittivity. If the light-cone-gauge topology of the here eluded-to discrete bundle of energy is of a Yang-Mills nature, then, the directly related second-ordered light-cone-gauge eigenstates will each bear sixty sinusoidal relatively standing waves at the start of each iteration of BRST, in which this is respective to -- here, involving both sixty directly associated peaks and six directly associated troughs. Gauge-Bosons here only "pluck" at the so-stated troughs. As the correlative ensuing Polyakov Action eigenmetric happens, mini-string-based phenomenology is fed into the light-cone-gauge -- making each correlative light-cone-gauge eigenstate to bear a side-to-side topological sway that fluctuates back-and-forth by a scalar magnitude of four mini-string-based thicknesses to the relative right to then fluctuate by a scalar magnitude of four mini-string-based thicknesses to the relative left, when this is at the perspective of the vantage-point of the respective general forward-holomorphic direction of the directly corresponding superstring of discrete energy permittivity. If the here correlative light-cone-gauge is of the respective given arbitrary genus in so as to being of a Kaluza-Klein light-cone-gauge topology, then, the second-ordered light-cone-gauge eigenstates will bear no sinusoidal-based standing-wave-based nature as before -- in the Lagrangian of the mappable tracing of the Gliossi-based surface of the topology of the said second-ordered light-cone-gauge eigenstates, of this given case. This is, although these said chord-like second-ordered eigenstates of a Kaluza-Klein-based light-cone-gauge topology will still here bear the so-mentioned side-to-side topological sway -- from after the beginning of BRST until such a gauge-metric of one of such respective given arbitrary iterations of BRST, at a set locus, is completed. Yet, with the said side-to-side topological-based sways of those second-ordered light-cone-gauge eigenstates, that would here directly correspond to superstrings that bear an abelian or a Kaluza-Klein light-cone-gauge topology, the topological surface of the here so-eluded-to chords will bear -- at the perspective of the vantage-point of the Poincaire level, that is at the Gliossi level -- a "plucking" that is localized at the specific spatial-wise covariant differential locants, that are at where the kinematic activity as to where the torsional concavity changes in any of such respective given arbitrary cases, over the course of the Polyakov Action -- during any given arbitrary respective iteration of BRST. This would here involve 60 of such locants for the Kaluza-Klein light-gauge topology that is directly affiliated with one-dimensional superstrings of discrete energy permittivity, and this would here involve 30 of such locants for the Kaluza-Klein light-cone-gauge topology that is directly affiliated with two-dimensional superstrings of discrete energy permittivity. To Be Continued! Sam.
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