Diffeomorphic

 Cohomology has the general tendency of being diffeomorphic, when the eminently associated Del Pezzo Spaces, are homogeneous in distribution. Samuel David Roach. 

A homotopic topological manifold, that works to express a relatively strong elastic modulus, will often tend to work to exhibit the general physical Ward-Cauchy-Condition, of acting to display a hermitian metric. 

Since the multiplicity of Fourier Transformations, are the language of waves; The multiplicity of the Fourier-Related-Progression, may be said, to be the metaphorical dance, of the Rarita Structure. 

The more perturbative, that the eminently corroborative Schwinger-Related eigenstates, are to tend to be, the more highly inductive, that the spontaneously ensuing, potentially ensuing force, may often tend to consequentially be. 

When an initially considered covariant tense of kinetic energy, is to viably interact with the likings of the Higgs Field, it will often tend to spontaneously acquire, at least some sort of viable tense, of a mass-like characterization. 

The multiplicity of the Higgs Field, takes the multiplicity of the initially considered, kinetically viable, discrete energy eigenstates, that are here to become spontaneously proximal local, to the interdependent presence, of externally interactive, Higgs Action eigenstates, while then dually and spontaneously, making such initial kinetically attributable, discrete eigenstates, to tend to become covariant in animation, in a piecewise continuous, steady-state-related manner, in so as to help form mass. 

The stronger that the Gliosis interaction is to be, between a Ward-Cauchy-Related particle-like phenomenon, and the Higgs Field, the greater that the scalar magnitude, of the eminently corroborative Majorana-Weyl-Invariant Mode, may often thereby, spontaneously tend to be exhibited as.

The relativistically faster, that a team of super strings of discrete energy permittivity, is to be physically transferred, when taken, relative to the covariant motion of electromagnetic energy, the more meticulous, if you will, that the eminently corroborative interactive Higgs Field, is to be interdependently interactive with the projected wave-tug, which is of the dimensional-related pulsation, that is here to be of the earlier stated team of superstrings of discrete energy permittivity, to where such an implicit net wave-like set of particles, is then to have a greater relativistic mass, as it continues to spontaneously convene, upon its escalating Lagrangian-Based Expansion, as taken along its general path along the Rarita Structure, as it is here to be kinematically propagated through space-time. 

A relatively slow moving, strongly resolute, De Rham Kahler Hamiltonian Topological Manifold, will often tend to be spontaneously fairly enhanced, at being thereby consequently capable, of abating the inevitably externally present, otherwise potential anharmonic kinetic topological sway states, to where such an implicit team of mass-bearing cohesive energy eigenstates, is here to resultantly tend to be relatively free, of spurious perturbative incursions upon its net energy eigenstate, so that such a sufficed team of cohesive energy eigenstates, is here to have a relatively heightened tense of remaining intact, as it is kinematically propagated, as a vestibule for its eminently corroborative Fourier-Related-Progression, as the motion of such a net involvement of string-like entity, is to be tugged along the general course of its eminently corroborative Lagrangian-Based Expansion, over the course of a proscribed duration of time. 

In the general process, of working to inextricably facilitate the interconnectivity of the Rarita Structure, gauge-bosons act as inverse Debroglie waves, that interact with light-cone-gauge eigenstates, in so as to draw in the multiplicity of the various forces of physical nature, in so as to work to allow the respective forces, to interact amongst each other as these are encoded to, by the multiplicity of the general covariant action, of the panoply of kinetically transferred, kinematically propagated, neutrino-related eigenstates. 

When both the angular momentum, &, the spin-orbital momentum, of a given arbitrary, kinematically propagated, mass-bearing Kahler Hamiltonian Topological Manifold, are spontaneously gauged, in a mutually hermitian manner, this general type of an occurrence, may often tend to work to facilitate, the general likings, of a kinetically transferred, homomorphic inertial field, that is to thereby become relatively enhanced, in its reductional capacity, to act in a recursively isotropic manner, as it is moved along its Lagrangian-Based path, over the general course of time. 

Diffeomorphic Del Pezzo Spaces -- Heuristic Kahler Manifold

The more diffeomorphic that the Laplacian-Based delineation is to be, of which is here to be eminently appertaining to the spatial distribution of those particular Del Pezzo Spaces, that are here to be directly corresponding to the net proximal local cohomology-based eigenstate, that is of such a given arbitrary Noether-Based Hamiltonian Operator, of which is here to be respectively proximal local, to the physical environment of a Ricci Flat gravitational field, that it will consequently tend to follow, that such an inferred topological manifold, that is of a respective net cohesive set of discrete energy quanta, will thereby often be more likely to exhibit the display, of tending to express itself as a respective holonomic substrate, of which is here to behave as such an earlier stated Hamiltonian Operator, that will consequently tend to be structurally exhibited, as a specific genus of a heuristic Kahler-Related Manifold. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (PHS1989).LATER ON, FOLKS!

A given arbitrary conductive, kinetically transferred, mass-bearing Kahler Hamiltonian Operator, of which is to work to bear, both a strong elastic modulus, And, a strong fractal modulus, to where such a kinematically translated, implicit spatially delineated, topological manifold, is here to work to exhibit a viable physical set, of diffeomorphic extremal dimensional characteristics, when under the covariant proximal local externalized environment, of a homogeneously distributed tense, of a relatively strong anti gravitational force, will often tend to bear a favorable candidacy, for acting or behaving as a general type of a case scenario, in which an artificial worm-hole, may thereupon be potentially aptly incurred here.

When the scalar magnitude of charge, is both stable and consistent, for a given arbitrary Kahler Hamiltonian Topological Manifold, in which its eminently associated Lagrangian-Based Expansion, is here to be progressively escalating, over a corroborative Fourier Transformation, it may thereby generally tend to spontaneously occur, that the kinetically transferred, implicit covariant “team” of mass-bearing super strings, will thereupon often respectively and progressively, increase in voltage, since this will therefore tend to be a case, in which there is here to be, the covariant proximal local presence, of a phenomenon, that shows an increase in energy per charge

Phenomenology, that is of the general nature, of eminently working to exhibit, a non abelian light-cone-gauge net eigenstate, may often tend to be heuristically gauged. Furthermore; Phenomenology, that is of the general nature, of eminently working to exhibit, an abelian light-cone-gauge net eigenstate, may often tend to be metrically gauged; Which is as the respective phenomenology, is here to be kinematically propagated through its Lagrangian. 

A Kahler Hamiltonian Topological Manifold, that works to exhibit an abelian light-cone-gauge topology, may often work to express a corroborative Lagrangian-Based Expansion, that is eminently effectual, with imparting a net gauge-action, upon the Fourier-Related-Progression, that is most applicable with the net spatial translation, that is viably adherent, to the incurred flow, of the eminently corroborative angular momentum, of which such a mentioned Kahler Hamiltonian Topological Manifold, is here to be physically expressing, as it is kinematically propagated, through the general medium of space-time. 

A Kahler Hamiltonian Topological Manifold, that works to exhibit a non abelian light-cone-gauge topology, may often work to express a corroborative Lagrangian-Based Expansion, that is eminently effectual, with imparting a net gauge-action, upon the Fourier-Related-Progression, that is most applicable with the net spatial translation, that is viably adherent, to the incurred flow, of the eminently corroborative angular frequency, of which such a mentioned Kahler Hamiltonian Topological Manifold, is here to be physically expressing, as it is kinematically propagated, through the general medium of space-time. 

A kinematic covariant Kahler Hamiltonian Topological Manifold, that works to exhibit a punctuated tense of pulsation-related Lagrangian-Based Drive, may often tend to exhibit a general manner of a Fourier-Related-Progression, that is relatively opportune, for having the general capability, of entering an artificial worm-hole. 

Heuristic Gravitational Force / Anti Gravitational Force -- Restraint Of Inferred Tendencies

 Heuristic Gravitational Force, tends to impel the general restraint, upon the kinematic distributional delineation of a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, in so as to incur the general physical tendency, of working to help allow for a proximal local condition of conformal invariance. Whereas; Anti Gravitational Force, as imparted upon a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to impart the general physical condition of restraint, upon the initially incurred  physical condition of conformal invariance, that is here to have initially been occurring, in so as to tend to work to help allow, for the spontaneously ensuing potential kinematic distributional delineation, of the topological manifold, that is here to be of the holonomic substrate of the earlier stated given arbitrary respective Noether-Based mass-bearing Hamiltonian Operator, of which is here to be theoretically described in a general manner, in this particular genus of a case scenario. SAM ROACH. 

Part One Of Gravitational Topological-Variance

 When an electron is struck by a beam of electromagnetic energy, it (the electron), will tend to fall back-and-forth an energy level -- to where the resultant residual spare energy, that is here to be respectively incurred upon the covariant Ward-Cauchy-Related bounds of such a stated electron, is to consequently be released, as a tangentially propagated discrete quantum of electromagnetic radiation. Right around the moment, during which a beam of electrodynamic radiation, is initially to come into a direct contact, with the holonomic stratum of the core-field-density of an electron, (of which is to be about 7*10^(-17) of one second after the immediate Gliosis-Based contact), the interaction between the inferred beam of photons with the topological stratum, that is here to be of the core-field-density of the electron, to where the shape of the topological contour, of that gravitational field, of which is here to work to bear an eminently associated covariant immediately externalized relationship, with the topological field that is proximal local to the core-field-density of the herein stated electron, is to alter in its directly associated topological morphology, to where such an inferred gravitational field, that is here to be directly corresponding to the said electron that I have eluded to here, while in mentioning such a respective given arbitrary type of a case scenario, is thereby to consequentially vary in the delineation-related distribution of its directorial-related construction, to where such a general genus, of the correlative alteration in the directorial-related contour of such an inferred topological gravitational field, may consequently be said, to be undergoing the general process, of what I call, the reductional operational-related Ward-Cauchy-Related physical condition, of what may consequently be called, the Gravitational Topological-Variance. (GT).

Let us next say, that the electron-related co-tangential bundle that is being approached, by the earlier eluded-to beam of electrodynamic radiation, is here to be of an arbitrary spatial dimensionality, of N dimensions. (It may be anywhere from co-tangential bundle R3, to co-tangential bundle R6). The equation that I have recently come-up with, for working to help determine what the Gravitational Topological-Variance, is, for the case of an initially scattered electron, of which is here to be proximal local in its eminent presence, after about 7*10^(-17) of one second upon the initial immediate contact of the inferred electromagnetic energy with the eluded-to respective given arbitrary electron that is here to be beginning to be scattered, as taken at the Poincare level to the immediate region of direct interaction, is:

GT(v) = ~ {[[The Ricci Flow]*[((N-1)*e^((2*(1-N)) - 1]*[((N-1)*e^((2*(1-N)) +1]]

*(((N^.5)/N)*((e^(The Ricci Flow))^6) {+ - (I hat), + - (j hat), + - (k hat), ... + - ( q(n) hat)}.

To where, the "hat" term, is here to elude to a reference, to the reductional shape-based delineation-related distribution, that is here to be constructed, via an understanding of the Laplacian-Based direction(s), of which are here to be directly related to the mappable contour of the shape of the directly correlative gravitational field, that is here to be expressed, at the eminent proximal local region, that is immediately externalized to the core-field-density, that is here to be directly associated with the eminently correlative electron, that is here to be of such a respectively given arbitrary type of a case scenario. SAMUEL. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! 

Diffeomorphic/Heterogeneous Core-Field-Density Of Hamiltonian Operator -- Gauge-Invariance

 A kinematically delineated Noether-Based Hamiltonian Operator, that is here to be maintaining a constant velocity, that works to bear a diffeomorphic distribution, in the physical "lay-out" of its core-field-density, will often tend to have the general tense, of having a greater probability, of working to bear a tense of gauge-invariance, than an otherwise analogous kinematically delineated Noether-Based Hamiltonian Operator, that is, instead, to work to bear a heterogeneous distribution, in the physical "lay-out," that is of its core-field-density TO BE CONTINUED! BE HERE OR BE SQUARE! SINCERELY, SAMUEL DAVID ROACH. 

A General Example That I Have Thought Up, As To Etale Cohomology

 In my particular model of string theory, there are three different kinematically exhibited sets of (parallel) universes, that are here to exist, from within the general confines of the physical space-time-continuum. The phenomenology that is here to exist, from within the general confines of each of these three sets of (parallel) universes, is to cycle amongst each other -- during what I call the generally unnoticed duration of Ultimon Flow -- while then going into their next iteration of distributional delineation, during the ensuing iteration of the generally noticed duration of Ultimon Flow. (Metaphorically, like a "circulatory system.") The phenomenology, that is here to exist, from within the general confines of each set of such universes -- is to be "entwined" amongst each other. All of the discrete energy permittivity, that is here to work to bear a proximal local delineation, At the general locus of a mass-bearing cohesive set of discrete energy quanta, -- is to exist in its distribution, During group-related instanton, -- At the External Shell of such a said set of discrete energy quanta. In the process, there is here to be at least some sort of an entangled "sheathing," of discrete energy quanta -- from various different distinct universes, that are not completely viable in covariant co-differentiation with one another, -- to where there will often tend to be different of such "sheaves," intermittently entangled amongst one another, in a cohomology-related manner. I perceive of such a "sheave-like cohomology," to often tend to act, as some form of an Etale cohomology. SAM. 

Pulsating Orbifold Eigenset At One Spot

Let us initially consider a Noether-based pulsating mass-bearing orbifold eigenset, that is here to be pulsating at a constant rate, even though such a said eigenset, is here to not be moving in a transversal manner --as this whole general process is here to be happening, over an evenly-gauged Hamiltonian eigenmetric.  Such a said eigenset is consequently to be spinning at a constant rate of acceleration (it is here to be accelerating, because, even though it is here to be spinning at a constant speed, since it is constantly to be changing in its direction, it is here to not be exhibiting a constant velocity), to where it is here to consequently bear partition-based discrepancies, that are here to be delineated in a coniaxial-related manner, in a spatial dimensional relationship that is here to be correlative to the conicenter of its overall axis of spin.  Next, let us say that the pulsation of the said orbifold eigenset, is here to increase in its speed, even though the overall axis of the directly corresponding tense of its spin, is here to maintain in its relativistic covariant distribution.  As the speed of the said spinning is here to increase in its covariant rate, the Lorentz-Four-Contraction due to the correlative increase in speed in relationship to light, is thence to increase in its scalar magnitude.  As this is here to happen, the directly corresponding Polyakov Action is thence to decrease in its scalar magnitude.  As this is here to be happening, the i*PI(del) action of such a given arbitary respective case, is consequently to become eminent in its kinematic activity, -- to where the said orbifold eigenset of such a respective case, is then to work to bear superstrings of discrete energy permittivity, that are then to tend to decrease in the number of their directly corresponding partition-based discrepancies, -- at the general proximal locus of the central axial-region, at which the spin that is to work to form the pulsation of the said orbifold eigenset, is here to be eminent in a kinematic manner. Sincerely, Samuel Roach.

Eigenstates Of Centralized Knotting As Crucial Nodes

Eigenstates of the centralized knotting of the Rarita Structure, act as major nodes of the flow of gravitational force transference -- of which act as mini-portals by which mini-stringular segmentation is to be delineated to-and-fro -- in so as to tend to work to act as a Hamiltonian operator -- for the correlative Gaussian distribution of eigenindices and eigenstates of one space of a given universal setting, to what will tend to be a tranferrence of Ward-Cauchy phenomenology to another space of that same universal setting, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Of Session 12 Of Course 4

The wave-tug that I was describing earlier as a general scenario will make the sequences thus mentioned appear close in the globally distinguishable.  Here is the physical example that will show what I am writing about:  Let’s say that you have a rope.  It is on a pulley.  It goes through the holes of many pulleys.  It finally reaches a pulley that it connects with.  Both pulleys are connected to a rock (one each).  One guy at one end moves one rock.  If the ropes were fairly taught, the rock at the other end would react immediately as if the person were there although the rocks were a ways away.  Picture this with one pulley connected to another one at both ends of where the person was.  Picture this with minimal slack at one or both ends or none at all.  These pulleys would appear to have actions that are near, although this stough is pretty much far away.  Strings are energy that is rearranged after iterations.  Energy is the redistribution of space.  The redistribution of this space is action.  From our vantage point, redistributed space is action.  Our vantage point is what we observe or detect.  Physical things that are detected are stough.  Stough needs some sort of a pattern to exist.  Sequences are patterns.  Strings are individual members of sequences that show a memory of physical patterns that existed as an action that is also a result of action.  The stough that happens as these strings iterate and reiterate is the series iteration of that string.  This is in itself an action.  so, the nearness of action influences the nearness of stough.  Thus, how near actions seem influences how near strings seem.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Hamiltonian Operations Of Gravity

Often, superstrings of a Hamiltonian operation of gravity, may simultaneously (via the vantage-point of a central conipoint), act as both a graviton and a gravitino.  This is when a Ward-Cauchy-based particle of a Hamiltonian operation of gravity, is to bear both radial and transversal characteristics, over the course of the same distinct iterations of group-related instanton.  So, let's say that, over the course of one specific iteration of instanton, that a Ward-Cauchy-based gravitational particle is to be at both one positioning of a fractal of angular momentum and at one position of a fractal of spin-orbital momentum.  Next, at the ensuing iteration of instanton, the just mentioned particle is to be distributed in such a delineation -- to where its fractal tense of angular momentum had to have just altered by one Planck Length, while its fractal tense of spin-orbital momentum had to have just altered by one Planck Radii.  Let us next say that the just mentioned tendency, is then to re-occur for a significant number of iterations of group-related instanton.  A graviton is a superstring of a Hamiltonian operation of gravity, that works to involve the transversal motion of the so-eluded-to eigenstate -- whereas, a gravitino is a superstring of a Hamiltonian operation of gravity, that works to involve the radial motion of the so-eluded-to eigenstate.  One could then say, when such a just mentioned gravitational particle is to display both a transversal and a radial motion -- over the same general tendency of motion -- that it is to act as both a graviton and as a gravitino simultaneously (via the vantage-point of a central conipoint).  One could then say, that such a particle may be considered as a unitary dual-state of gravitational eigenstate, that is to exhibit the gauged activity of both a fractal tense of angular momentum and the gauged activity of a fractal tense of spin-orbital momentum -- over the course of the same evenly gauged Hamiltonian operation.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As to The Idea Behind Substringular Recycling

Mini-Stringular segmentation is a general genus of phenomenology -- that is constantly being fed both into and out of both superstrings, first-ordered point particles, norm-state-projections, along with such a general genus of phenomenology as well as also being fed into other Ward-Cauchy-related phenomenology.   Such a constant re-distribution of mini-stringular segmentation, is part of what works to recycle substringular ground-states to norm-states -- and vice-versa.  Mini-Stringular segmentation is both: what works to form the holonomic substrate of substringular fields, what works to form the "yarning" of first-ordered point particles, what works to form zero-point-energy, etc... .  As far as I can currently surmise, the smallest phenomenology that can be divied-out, is on the order of mini-stringular segmentation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.