Monday, December 5, 2016

Tense Of Cohomological Genre

Let us initially consider a superstring that is partially Yau-Exact -- such as a photon, that is being propagated along a discrete Lagrangian as a metrical-gauge-based Hamiltonian operator, over time.  The said superstring is to here -- in this given arbitrary respective case -- be traveling through at least ten spatial dimensions plus time, over the course of the respective metric, by which the said photon is to be traveling over, yet, the so-stated photon is to not be fully Yau-Exact, since it is not of an eigenbase that is as to mass-bearing superstrings.  Let us next stipulate that the so-eluded-to discrete quantum of electromagnetic energy, is to be both moving in ten spatial dimensions, as well as the so-eluded-to discrete quantum of energy to here be changing in ten spatial-based derivatives -- as it is being propagated along the so-eluded-to Lagrangian, over a sequential series of instantons.  Let us say, that the holomorphic-based torsional eigenindices that are of the said discrete quantum of electromagnetic energy, are to only be hermitian in six of the ten spatial dimensions that it is moving through -- over the course of such a so-eluded-to Fourier-based translation, which is to here exist -- as the said photon is to function as a unitary Hamiltonian operator, that is of such a respective genre as to here being of a partially Yau-Exact nature.  This would then work to mean, that the six holomorphic-based torsional eigenindices that are of a hermitian nature, will then tend to work to form a partial integration of a Rham-based cohomological mappable tracing, while the four holomorphic-based torsional eigenindices that are instead of a Chern-Simons nature, will then tend to work to  form a partial integration of a Doubolt-based cohomological mappable tracing. A hemitian cohomological mappable tracing tends to only bend in as many derivatives as the number of spatial dimensions that it is traveling through over time, yet, a Chern-Simons cohomological mappable tracing bends in more derivatives than the number of spatial dimensions that it is traveling through over time. 
I will continue with the suspense later!  To Be Continued! Sincerely Samuel David Roach.

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