Some Stuff As To Clifford Expansion

Take the Lagrangian-based path of the cohomological generation, that is of a discrete quantum of energy.  The resultant tangential motion or the divergence, that such a said Lagrangian-based path is to tend to make over time -- may be described of here as a euclidean expansion.  The euler of such a euclidean expansion, may often be thought of as a Clifford Expansion.
 I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Yukawa Kahler-Metric

The more Yukawa that the Kahler-Metric is, to any one given arbitrary discrete quantum of energy that is at one set gauged-metric, -- the more asymmetric that the adjacent gauge-bosons of the said respective given arbitrary discrete quantum of energy will then tend to be.  The more asymmetric that the adjacent gauge-bosons of any one respective given arbitrary discrete quantum of energy will be, -- the more harmonic that the resultant formed Schwinger-Indices that act as gravity waves, will then tend to be.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Entropy And Cohomological Degeneration

Let us initially consider a photon of a beam of light, that is to strike an electron, that is of a set of atoms that are here to work to comprise a gauged overall mass-bearing phenomenology.  As the said photon is to strike the externalized core-field-density of a light-cone-gauge eigenstate of the electron that the so-stated photon is to collide with, in what is here to be in a Gliosis-based manner, -- that particular light-cone-gauge eigenstate of that discrete quantum of energy of the correlative electron that the said photon is to strike, -- is to initially -- upon its Gliosis-based collision with the said externalized core-field-density of the said light-cone-gauge eigenstate -- to become of an entropic-based manner, for an overall course of 384 consecutive iterations of group-related instantons, --in so long as the so-stated photon is not to collide with the externalized core-field-density of the holonomic substrate of any other light-cone-gauge eigenstate.  As the so-stated photon is to behave in an entropic-based manner, the said entropic photon is to tend to purely degenerate the cohomological stratum that it is to interact with, in a Yukawa-based manner.  Entropy never tends to bear the tense of being conformally invariant -- at the internal reference frame at which it is here to be operational chaotic or entropic in its behavior here.  An entropic condition is a condition of chaos or disorder.  Disorder or chaos is not of an organized manner, when the processes of such chaos is entropic or out of order or out of organization.  Disorder or chaos works to disorganize things.  Disorganization thus works to degenerate cohomological stratum, at the Ward-Cauchy level that is Poincare to the processes of its said disorganization.  Therefore, entropic photons are examples of photons that are here to be perturbated into a Rayleigh-based state of a scattering mode.  Entropic photons that are adjacent, will thus tend to bear an odd chirality-based parity -- over any correlative gauged group-metric that is of an even Hamiltonian operation.  Thus, the re-quantization of photons that were once entropic -- to where the said re-quantized photons are to then to return to a tense of working to bear a harmonic order -- is an example of a Reimman scattering, that is to bear photons that are no longer entropic in a discrete arrangement, in which the adjacent correlative eigenindices of the discrete electromagnetic quantum of energy are here to bear an even chirality-based parity.  (Now that such a discrete quantum of electromagnetic energy is to no longer be entropic.)  I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Holomorphic Direction Of Orbifold Eigenset

Let us consider the tendency for the holomorphic direction, of any one given arbitrary discrete energy quantum, that is of one particular genus of such a discrete quantum of energy.  (P.S.  The following is a general theoretical condition, in so as to help at eventually being able to understand what one is to be working towards, when one is here to be considering an actual case scenario).  Let us next, consider that there is to be a relatively large Hodge-Index -- as to the number of those discrete quanta of energy, that are to here to be present, from within the Ward-Cauchy-based bounds of one respective given arbitrary orbifold eigenset -- of which are to each be of that same general genus of discrete energy quanta, that the respective initially mentioned discrete quantum of energy was of, that I had brought-up at the beginning of this given post.  The influence that is to then to be attributed towards the holomorphicity of the respective given arbitrary orbifold eigenset, that is of the general genus, that is of the initially so-eluded-to genus of discrete energy quanta that I had inferred at the beginning of this post, will then tend to be the resultant average holomorphic direction, that is to then to be attributed to the net mean Lagrangian path, that one is to be able to extrapolate, -- when one is given the overall differential geometry that is to here to be related to the initial Laplacian-based Ward-Cauchy conditions -- that are here to be in correlation to the differential geometry of the initial substringular conditions, via which motion of the discrete energy quanta of the said orbifold eigenset is to be Yukawa to, over time. This will then help one to be able to then have a better ability to extrapolate the ensuing directoral-based holomorphicity of such a case, of the here said given arbitrary orbifold eigenset, over the ensuing sequential series of group-related instantons. I will continue with the suspense later!  To Be Continued! Sincerely, Sam Roach.

Part Two As To Rate Versus Magnitude

The relative codifferentiable rate of one given arbitrary respective tense of a second-ordered light-cone-gauge eigenstate, is to be taken to the sixth power -- while the relative codifferentiable comparison as to the scalar amplitude of the amount of mini-stringular segmentation, that is here to be fed-into the self-same said second-ordered light-cone-gauge eigenstate -- is to be taken to the first power. So, how does this work to compare the condition, as to how many times as many Schwinger-Indices or gravity waves are to here be produced by the plucking of one respective given arbitrary second-ordered light-cone-gauge eigenstate, of a discrete quantum that is of a Kaluza-Klein topology, versus the condition as to how many times less Schwinger-Indices or gravity waves are to here be produced by the plucking of one respective given arbitrary second-ordered light-cone-gauge eigenstate, that is of a discrete quantum -- that is of a Yang-Mills topology?
Let us say that a given arbitrary second-ordered light-cone-gauge eigenstate that is of a Kaluza-Klein topology, is to work to bear one-half of the scalar amplitude of mini-stringular segmentation -- that is to be fed-into its immediate Ward-Caucy bounds, than a covariant-based comparitive second-ordered light-cone-gauge eigenstate that is of a Yang-Mills topology, yet, the said eigenstate of a Kaluza-Klein topology, is to here vibrate at twice the relative rate as the said eigenstate of a Yang-Mills topology. (This would probably not happen literally, yet, this is just to give you an idea.)  Two to the sixth power is 64.  Two to the first power is 2.  This would mean, in this given metaphorical case, that the said eigenstate of a Kaluza-Klein topology of this case, would then tend to form 32 times as many Schwinger-Indices -- than the said eigenstate of a Yang-Mills topology of this case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Second Part Of Session 2 Of Course 20

As the substringular process that is appertaining to that operation by which a set of two correlative zero-norm-state-projections, will here work to help to cause one respective given arbitrary superstring to undergo the Fujikawa Coupling via the Green Function -- in so as to work to assist one given arbitrary maximum contracted discrete quantum of kinetic energy, that is released from the Ward-Caucy-based bounds of an electron, to form one given arbitrary respective discrete quantum of electromagnetic energy -- there is here to be as well, at a proximal localized Fourier-based gauging, another set of two correlative zero-norm-state-projections, that will work here to help to cause the directly corresponding counterstring, that is correlative to the said superstring, to work to form the counterpart-based Fourier-based activity of the Fujikawa Coupling via the Green Function.  This happens, in so as to work to help to allow, for not only the particle-based nature of the here proximal localized quantum of discrete energy permittivity to be able to then form a photon, but as well -- to work to help to allow for the wave-based nature of the here proximal localized quantum of discrete energy permittivity -- to then be able to form a photon.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.