Saturday, August 29, 2015

Part Ten of Session Six Of Course 19 -- The Klein Bottle and Orbifold Differentiation

When the Clifford Action that is taken-up by the Fourier-based activity of any given arbitrary orbifold eigenset, is either of a Dirac-affiliated kinematic activity or of a manner of Fourier-based activity that works to bear hermitian Lagrangian-based singularities, over time -- the said respective given arbitrary orbifold eigenset will not, of the just-mentioned conditions alone, work to bear a highly intensive tense of conformal invariance, at that locus in which such a lack of a Majorana-Weyl-Invaraiant-Mode is being demonstrated -- in such a general given case.  This is the case, since such a tense of a Clifford Action will tend to work at causing a relatively local substringular divergence of what would here amount to an initial consideration of a Reimman displacement of superstringular members, in the form of what would here be the introduction of a Rayleigh scattering upon the just-eluded-to orbifold eigenset, that had just previously been brought into an even chirality -- by an immediately prior Reimman scattering of the so-stated members of the directly corresponding orbifold eigenset.  Such an anharmonic scattering of an initially harmonic displacement of superstrings, that had worked to comprise the orbifold eigenset in question -- will here tend to work at converting the symmetry of the locally adjacent so-stated substringular members, from going from a multiplicit condition of working to bear an even chirality, towards going into a multiplicit condition of working to bear an odd chirality, when this is taken in a relatively holomorphic manner that is piecewise continuous -- from the initial source of the directly corresponding perturbative Hamiltonian-based operators, to the ending point of the directly corresponding perturbative Hamiltonian-based operators of such a case.  Such a genus of a Rayleigh-based scattering, will tend to alter the Jacobian eigenbasis that is here directly affiliated with the Gaussian symmetry of the wave-pull -- that is correlative to the topological sway of the pulsation of the directly corresponding Hamiltonian operation of the said orbifold eigenset -- as such an orbifold eigenset is subsequently pulled out of an initial tense of a Majorana-Weyl-Invariant-Mode, into a divergence, that is later brought back into a different general locus that is then settled back into an ensuing tense of a Majorana-Weyl-Invariant-Mode. This readjustment of the multiplicitly taken Jacobian eigenbases -- that are here directly affiliated with both the existence and the kinematic differentiation of orbifold eigensets -- works to fulfill the multiplicit abelian need for the inclusion of both Real Reimmanian and Njenhuis primed normalcy, as such an overall tense of abelian-based functioning is needed, so that the multiplicit wave-tug/wave-pull of the multiplicit activity of orbifold eigensets may be able to take hold upon each other.  To Be Continued!  Sam Roach.

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