Let us first consider in this given arbitrary case, an electron that is differentiating here, in a Fourier-based manner -- in nine spatial dimensions plus time -- through a discrete Lagrangian, over a relatively transient duration of time. An electron exists in a d-field -- of which is a subatomic field, that exists in a minimum of six spatial dimensions plus time, in any minimally considered given arbitrary respective Fourier Transformation -- by which such a said electron is moving as a Hamiltonian operator through, in its correlative Hamiltonian operand, over time. So, since the so-stated electron of such a respective given case is here moving in two more so-eluded-to spatial dimensions, than the minimum number of spatial dimensions in which such a said particle such as an electron must be going through, as it is moving through space over time -- the so-stated electron of such a given case must then work to bear the Laplacian-based condition as to having two Njenhuis-based tensors, that are Yukawa to the topology of the said electrons core-field-density. Let us say that the said electron is, in this said given case, moving in a tertiary Lagrangian -- as it is moving as the holonomic substrate of a given d-field, which is in the case of working here to bear the condition of interacting directly with eight spatial dimensions plus time -- instead of working to bear the condition of interacting directly with six spatial dimensions plus time -- over the directly correlative Fourier-based transformation in which the said electron, as a respective orbifold eigenset, is moving in such a manner in so as to have a respective hermitian flow, -- by which one would thereby not have any overt Chern-Simons singularities. This would then mean, that, although such an electron would bear, in such a case, an intrinsic Njenhuis "platitude" -- since it works to bear in this case two added spatial dimensions than it would if it were of simply of a Real Reimmanian-based nature -- it would work to bear a Doubolt cohomology that would be of a partially Yau-Exact nature, since it would be basically completely hermitian in a Li Algebra-based manner, yet, the Njenhuis topological sway of the wave-tug/wave-pull of the electron, as it is moving here in two added spatial dimensions than it usually would go through over its correlative Fourier Transformation that would make the Lagrangian-based path of the said Hamiltonian operand through which the said electron is moving through to be as a hermitian-based Hamiltonian operation that is off of the Real Reimmanian Plane. Let us say that the so-stated electron of such a case is then pulled completely back into a simply Real Reimmanian-associated Rham-based cohomology, that is as well of a hermitian based nature (the Fourier-based cohomology of such a case would then change in a maximum of only six derivatives here, instead of in a maximum of eight derivatives -- since the directly corresponding electron that is to form the correlative cohomology is to then to be only moving in six spatial dimensions plus time instead of in eight spatial dimensions plus time) -- after a set sequential series of group-related instantons, after it has been pulled-out of being as a Doubolt-based Hamiltonian operator, that had initially worked to bear the two so-stated Njenhuis tensors that it had started-out by having at the beginning of this said scenario. This would work to involve the process of what may here be termed of as the compactification of the dimensionality of the cohomological substrate of the so-mentioned electron -- by the projection of the trajectory of the electron, as a Hamitonian operator, being converted from existing as a GSO ghost that would have two Njenhuis coniaxials, to existing as a GSO ghost that would instead have only Real Reimmanian-based coniaxials. The so-stated electron will then be back to moving in a kinematic manner as a Hamiltonian operator that is differentiating through a Fourier Transformation that is of purely a Yau-Exact nature. This is a compactification of the dimensionality of an integrative Fourier-based ghost-based Hamiltonian operator -- that is as the physical memory in the substringular of a metrical-gauge-based nature.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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