Tuesday, August 18, 2015

Part 5 Of The Sixth Session Of Course 19 -- The Klein Bottle and Orbifold Differentiation

The angular momentum of an orbifold eigenset, works to help define the fractal of the electric field, that is exhibited by the Fourier-based translation of any respective given arbitrary orbifold eigenset -- over a successive series of group-related instantons, in which the said set of orbifolds that operate in so as to perform one specific substringular function -- are propagated through their respective Hamiltonian operands, via those multiplicit Lagrangian-based paths in which such individual sets of orbifolds are pulled through, in so as to be able to do their directly affiliated kinematic-based activities, over time.  So, in one general genus of tense, the angular momentum of any given arbitrary orbifold eigenset, is utilized by the Hamiltonian operation of the said quantum set of orbifolds, in so as to work to define that fractal of an electric field -- in so as to here work primarily as the mechanism of the so-eluded-to orbifold eigenset, that is codeterminable, in so as to act to be able to help determine the general differential eigenbase, that relates the respective given arbitrary quantum of the Hamiltonian-based drive, that is of the so-stated given orbifold, per each successive consistent gauge-metric-based quantization.  This, then, as a logical and a metaphorical thought, works to define the relationship between the interdependant factor, per instanton, of the quantum of the Schwinger-based indices that are propagated by the kinematic motion of the said orbifold eigenset, when this is taken as the denominator that is here under the kinematic interplay of the correlative Hodge-based indices -- this of which works to help define an innate fractal of what may more "macroscopically" be thought of as a function of "charge" per "time."  (Even though the electrical field is very microscopic, it is very large, when in comparison to the substringular level.)  This is because, the Hodge-based indices are the quantum additions, that help to work at defining how much phenomenology of holonomic substrate is being moved, via its kinematic activity of its here directly applicable differential geometry, through the given arbitrary discrete Lagrangian -- in which it is here moving in, over time.  Whereas, the activity of the directly corresponding Schwinger-Indices, works at helping to allow for the progression of the ensuing fractals of "flux" that are needed in so as to help to allow for the gauge-metrical activity of the interdependance of substringular permittivity, with substringular impedance. Actual electric current is defined as charge per time.  This is why.  This, then, works to cause the fractal of the electric field of any respective given arbitrary orbifold eigenset -- to help to cause the here ensuing wave-tug/wave-pull of the so-stated orbifold eigensets -- in so as to primarily bear the correlative tense of being a phenomenology of holononmic substrate, that is propagated through the twining of the correlative space-time-fabric of such a case scenario.
To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

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