Wave Modulae And Cohomological Generation

Let us initially consider the basic generic set-up, for the condition of the wave modulae of an eigenfunction.  What I am referring to is:  e^(lambda*the eigenfunction).  One may here come to grips with the three basic genre of the wave modulae of eigenfunctions, which would be:
1)  e^(lambda*the eigenfunction), when lambda is less than zero -- for degenerative cohomologies.
2)  e^(lambda*the eigenfunction), when lambda is zero -- for  purely Rham-based cohomologies.
&3) e^(lambda*the eigenfunction), when lambda is more than zero -- for  generative cohomologies.

Now, we will look at a specific example -- as to how this may be applied to a physical condition, at the sub-atomic level.:
One is to initially have a loose electron -- that is of a basically Rham-based cohomology -- to where the cohomological index is to neither work to bear a degenerative nor a generative cohomology.(lambda~0).
Next -- the said electron is to be magnetically pulled into the Ward-Cauchy-based field of an atom -- to where the cohomologies that the electron are to form are to now be of a net generative nature, to where lambda is here to be greater than 0.  (This is to then be related to what may be called a Faro wave function modulae.)
Next -- the said electron is to be struck by a photon -- to where there is the eminent formation of an antiholomorphic Kahler condition -- to where there will thus be the formation of a basically degenerative cohomological index.  In the process, as the electron is to be struck via a Calabi-Yau interaction, in the process of it going into an antiholomorphic Kahler condition, -- it is to first drop an energy level (towards the nucleus of its correlative atom), while then going back an energy level (away from the nucleus of its correlative atom) -- to where the said electron is to then to release a discrete quantum of energy, in the form of a photon, through the Fujikawa Coupling, via the Green Function.
I will explain cohomological generation later!  To Be Continued!  Sincerely, Samuel David Roach.

As To Generated and Degenerated Ghost-Based Indices

Sometimes, there may be a cohomology that is being generated at one end of the so-eluded-to ghost-based pattern -- at a slower rate than it is being degenerated at its relatively opposite end.  Often, such a general genus of cohomological generation/degeneration is of a Rham-based tense of a cohomological-based tracing.  Such a hermitian flow of cohomological tracing may either be initially generated, via the general activity of a euclidean expansion of the directly associated ghost-based indices, while, often such a hermitian flow of cohomological tracing may, instead, be initially generated via the general activity of a Clifford-based expansion.  Since such a general genus of what is here to be a generative/degenerative cohomological tracing, is to here bear a mappable Lagrangian -- that works to involve a higher rate of a Rayleigh scattering eigenpulse than the here existent rate of its directly affiliated Reimman scattering over time, in the course of the here present kinematic interplay of the Fourier-based differentiation -- of that general format of a tense of the formation of a physical memory of ghost-based indices, that are here to later begin to be scattered out of existence at a faster rate than these are brought into formation -- this  will then tend to spontaneously work to cause the ellimination of those eigenindices, that had initially worked to form the proximal locus of the directly related cohomological-based tracing that is of such a genus of an  overall tense of generation/degeneration.  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.