Let us initially consider a pulse of discrete energy, that is here to be comprised of two different covariant, codeterminable, and codifferentiable sets of orbifold eigensets. Let us next consider here, the cohomological path that the so-eluded-to pulse of energy that is to here to be considered, is to work to form. Next, let us consider that each individually taken orbifold eigenset of this case, -- is to work in so as to form a Hamiltonian-based bundle of cohomological-related eigenindices, -- that are here to be distributed along two covariant genre of Lagrangian-based path eigenstates. Furthermore, let us next consider that the first respective given arbitrary mentioned Lagrangian-based eigenstate, is to work to form a Hamiltonian operand -- that is of a vector bundle of cohomological eigenindices. Next, let us say that the other respective so-eluded-to Lagrangian-based eigenstate, is here to work to form a Hamiltonian operand -- that is of a tensoric-related bundle of cohomological eigenindices. The vector-related bundle here mentioned, will tend to bear a hermitian Lagrangian-based path, that may be described of here as existing with Real Reimmanian-related roots. The tensoric-related bundle here mentioned, will instead, tend to bear a Chern-Simons Lagrangian-based path, that may here be described of as existing with Njenhuis or complex-related roots. As long as there are here to be no metrical-based Chern-Simons singularties -- in the overall energy of this given arbitrary respective case, the respective hermitian Lagrangian-based path mentioned here, will tend to move in the direction of being of the Ward-Cachy-condition of having a Yau-Exact nature. Whereas, the respective Chern-Simons Lagrangian-based path mentioned here, will tend to either significantly generate or degenerate cohomological-based eigenindices -- to where it will not be as such of a Yau-Exact nature. Furthermore, such a lack of metrical-based Chern-Simons singularities in this said overall case, would eluded-to the said overall tense of energy of this case, as either approaching and/or attaining a tense of being partially Yau-Exact.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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