The Ricci Curvature And The Generation Of Cohomology

 The following tends to be the case, for Noether-Based discrete energy quanta, when the eminently proximal local heuristic gravitational scalar, that is here to be in conjunction with working to help one to determine the Ricci Curvature, happens to be trivially "1." When the Ricci Curvature is heuristically "fractional," the inherently proximal local cohomology, will often have the general tendency, of being degenerative. When the Ricci Curvature is heuristically "one," the inherently proximal local cohomology, will often have the general tendency, of being equally as generative as it is degenerative. Furthermore; when the Ricci Curvature is heuristically "more than one," the inherently proximal local cohomology, will often have the general tendency, of being generative. The propagation of harmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of "the offshoot" of a generative cohomology-related field, often tends to work to facilitate, the resultant formation, of harmonic charge. The propagation of harmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of "the offshoot" of a degenerative cohomology-related field, often tends to work to facilitate, the resultant formation, of anharmonic charge. Next; The propagation of anharmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of the "offshoot" of a generative cohomology-related field, often tends to work to facilitate, the resultant formation, of "essential entropy." AND; -- The propagation of anharmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of the "offshoot" of a degenerative cohomology-related field, often tends to work to facilitate, the resultant formation, of "non-essential entropy." SAMUEL ROACH. 

Tense Of Propagation -- Ricci Flow

 The Noether-Based propagation, of a given arbitrary Hamiltonian Operator, tends to work to involve a Ricci Flow, that has a negative value. (Heuristically, this will tend to be (-2).)

The tachyon-related propagation, of a given arbitrary Hamiltonian Operator, tends to work to involve a Ricci Flow, that has a positive value. 

I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH. 

Electromotive Pulse And Charge

 A hermitian Noether-Based electromotive pulse, has the general tendency, of working to exhibit a steady-state charge. Furthermore; A spurious Noether-Based electromotive pulse, has the general tendency, of working to exhibit a perturbative charge. A Hamiltonian Operator, that works to exhibit a steady-state charge, often tends to express a smoother Ricci Flow, than an otherwise analogous Hamiltonian Operator, that works to exhibit a perturbative charge, instead. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Perturbative Gravitational Field -- Homotopic Divergence

 The proximal local presence of a perturbative gravitational field, may often tend to help facilitate, the concurrent general physical effect, of a resultant tense of homotopic divergence. SAMUEL ROACH. 

Flat Ricci Curvature --- Homotopic Convergence

 The attributable effect of the general Ward-Cauchy-Based environment, that is eminently associated, with the proximal local presence of a Flat Ricci Curvature, may often tend to help facilitate, the general process of the homotopic convergence, that is of the eminently associated cohomology-related path-curvature, of which is here to be correlative to the attributable Lagrangian-Based motion, of the directly associated kinematic propagation, of a respectively affiliated functionally viable Hamiltonian Operator. SAMUEL.

The Re-Enforcement Of Anti Gravitational Waves -- Re-Enforcement Of Proximal Local Kahler-Based Conditions

 The Re-Enforcement of those anti gravitational waves, that are here to be latent, from within the Ward-Cauchy-Related confines, of a particular set respective given arbitrary region in time and space, will often tend to work to re-enforce the proximal local Kahler-Based conditions, that are here to be present, from within the eminently effectually inferred locality in time and space. TO BE CONTINUED! SAMUEL. 

Extremal Metrics

 When a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, is to be moving at so much of a velocity, that it is to work to be eminently associated, with a relatively significant tense of directly associated Lorentz-Four-Contractions, that it happens to be, that the individually taken superstrings, that work to comprise such a stated respective Hamiltonian Operator, will thereby often tend to work to bear, such an inferred covariant set of spatial dimensions, in which the Kahler-Related behavior, may thereby tend to be expressed of, as working to bear, what may often may be termed of, as being "extremal metrics." I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH, 

Path-Curvature Of A Cohomology-Related Flow -- Topological Invariance -- Homotopic Convergence

 When the path-based curvature of a cohomology-related flow, is to be spontaneously approaching a state of topological invariance, it may often be said, that such a stated cohomology, is here to tend to be expressing, a correlative tense of homotopic convergence. It follows that; When the path-based curvature of a cohomology-related flow, is to be spontaneously digressing from a state of topological invariance, it may often be said, that such a stated cohomology, is here to tend to be expressing, a correlative tense of homotopic divergence. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH. 

A Hamiltonian Operator That Has Strong Kahler Characteristics

 A Hamiltonian Operator that has strong Kahler characteristics, often tends to be eminently associated with a very recursively smooth Ricci Flow. LATER, DUDES! TO BE CONTINUED! SAMUEL ROACH. 

The Squared Condition Of The Fourier-Related-Progression

 When one is to mathematically add the square of the homotopic convergence, that is of a given arbitrary respective Noether-Based Hamiltonian Operator, together with the square of the homotopic divergence, that is of the self-same respective Noether-Based Hamiltonian Operator, one may often consequently work to mathematically derive, what is here to be analogous to the respective squared condition, of the directly associated Fourier-Related-Progression, of which is here to be propagated through the correlative Lagrangian-Based path, of which such an earlier stated Hamiltonian Operator is here to be traveling along, as it is to be in the process of being physically translated, via a cohomology-related curvature in time and space, as such an inferred "team" of discrete energy quanta, is here to be comprised of by a cohesive set of individually taken discrete energy quanta, of which are comprised, in tact, by an integrable set of respective zero-states, to where such an inferred cohesive set of discrete energy quanta, is thenceforth to be transferred from one spot in the substring-related realm to another, over the course of a potentially viable duration to time. Furthermore; in the "process," the hermitian flow of cohomology, tends to help facilitate a smooth homotopy. A minimally restrained hermitian cohomology, that is incurred upon by a minimal heuristic gravitational wave-tug, that is also to work to bear a smooth recursively stable homotopy, will often tend to work to bear a relatively Kahler set of dimensional characteristics. This general process, works to facilitate a lowered restraint upon the increased acceleration, of any directly affected system of energy. SINCERELY, SAM ROACH. 

What Homotopic Divergence Is

 Homotopic divergence, is the mappable topological reaction of wave-tug-related gauge-metric flow, via which cohomological path-related curvature, is to be tangentially propagated, both outward and away from the source of initial consideration, as a projected trajectory of integrable covariant inter-dependent functionally-gauged zero-states, that are externally delineated at the proximal locus, of the outer shell of the core-field-density-related region, that is of the multiplicity of each individually taken discrete energy quantum, of which is to work to form any correlative directly associated respective Hamiltonian Operator, of which is here to be expressing, such an eminent mappable topological reaction. 

Cohomology -- Homotopic Divergence / lHomotopic Convergence

 When the homotopic divergence / homotopic convergence, is here to be of a Clifford-Related nature, the directly associated mappable cohomology, will often tend to be coiled (of a helicity-related nature), as a distributional delineation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

When Gliosis to The Kahler-Metric

 Pure energy is not literally 100 percent efficient. When a given arbitrary Hamiltonian Operator is to be Gliosis to the Kahler-Metric, those individually taken discrete energy quanta, of which are here to work to comprise such a stated Hamiltonian Operator, are to work to bear a dimensional modification, of which is here to work to allow for the re-attainment of the optimum utilization, that is directly associated with the herein inferred net discrete energy quantum (of which is here to be referring to the said Hamiltonian Operator). TO BE CONTINUED! SINCERELY, SAMUEL ROACH.(1989). 

Anti Gravitational Force -- Depth Of Kahler-Based Quotients

 As a general tendency; It may often occur -- that the stronger the incursion of an anti gravitational force, as it is to be imparted upon a given arbitrary correlative Noether-Based mass-bearing Hamiltonian Operator, the deeper that its directly associated Kahler-Based quotient, may often tend to become. SINCERELY, SAMUEL DAVID ROACH. (PHS -- 1989).

Tense Of Gravitational Force -- Kahler Conditions

 When the proximal local tense of gravity, is to alter, from initially working to express an anti gravitational force, into then spontaneously working to express a heuristic gravitational force, this general reductional physical operation, will often tend to work to induce, the proximal local presence, of the general physical attribution, of a set of latent anti holomorphic Kahler conditions. SINCERELY, SAMUEL ROACH. 

Anti Gravity -- Kahler-Related Nature

 The proximal local presence of anti gravity, often tends to work to enhance the Kahler-Related nature, of a correlative Hamiltonian Operator, of which is here to be enacted upon, by such an inferred proximal local presence, of an anti gravitational force. TO BE CONTINUED LATER, EVERYONE! SINCERELY, SAM ROACH. 

Cohomology -- Homotopic Divergence / Homotopic Convergence -- Euclidean

 Cohomology that is eminently related to a homotopic divergence / homotopic convergence, that is here to be of a Euclidean-Related nature, often has the general tendency, of working to bear an uncoiled (Non helicity-related) distributional delineation. More as to homotopic divergence / homotopic convergence, later! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Corrected -- The Holonomic Scalar Value Of Homotopic Transfer / Homotopic Restraint

 The holonomic scalar value of homotopic transfer, is equal to i times the heuristic scalar value of the correlative homotopic transfer. In a similar but different "train" of thought; The holonomic scalar value of homotopic restraint, is equal to i times the heuristic scalar value of the correlative homotopic restraint. It follows, that the heuristic scalar value of homotopic transfer, is equal to -i times the holonomic scalar value of the correlative homotopic transfer. In a similar but different "train" of thought; The heuristic scalar value of homotopic restraint, is equal to -i times the holonomic scalar value of the correlative homotopic restraint. Here's a hint: The multiplicity of the Fourier-Related-Progression, is mathematically equal to the Fourier Transform divided by the Lagrangian. Mathematically, one isn't to leave Imaginary Numbers in the denominator. This should be sufficient enough of a hint! SINCERELY, SAMUEL DAVID ROACH. 

Relatively Deep Inherent Vibration

 A highly Kahler Hamiltonian Operator, often tends to inherently express a relatively deep resonant vibration. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Imagine with me: How would you feel, theoretically, if you needed to send in classified knowledge to the government, in order to not get into major trouble, yet, your own family warned you, that if you did so, that you may possibly lose your home?

PS: This blog, in and of itself, is big time NOT the insinuated classified knowledge.  

Slater Inter-Relationship Of Binary Fourier-Related-Progression

 When one is to mathematically take the Yukawa Coupling, that is here to be existent, between the expression for the homotopic transfer in conjunction with the expression for the homotopic restraint, of which is here to be eminently affiliated, with the mappable Lagrangian-Based motion, of a directly pertinent Hamiltonian Operator, that is here to be exhibiting such an expression of homotopic projected trajectory, one may often resultantly tend to consequently be spontaneously dealing, with a directly associated Slater-Based inter-relationship, amongst these two different mathematically determinable phenomenology, that is here to correspond, to the correlative binary Fourier-Related-Progression, that is of the earlier mentioned/inferred given arbitrary respective Hamiltonian Operator, of which is here to be directly associated, with the attributable Hamiltonian Operator, that is here to be of this particular type of a case scenario. I WILL CONTINUE LATER!TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Highly Kahler Hamiltonian Operator -- De Rham Cohomology

 A highly Kahler Hamiltonian Operator, that is is to be initially exhibiting a De Rham cohomology, to where this is to later be spontaneously acted upon, by an external force, will often have the general tendency, of often working to exhibit a greater probability, of consequently remaining of a De Rham cohomology, than an another otherwise analogous Hamiltonian Operator, that is here, instead, to be of a relatively lower Kahler-Based nature. HEY! I WILL CONTINUE WITH THE SUSPENSE LATER, EVERYBODY! TO BE CONTINUED! SAM ROACH. 

Highly Kahler Hamiltonian Operator -- Relatively Strong Resonant Pulsation

 A highly Kahler Hamiltonian Operator, often tends to work to bear a relatively stronger resonant pulsation, than another otherwise analogous Hamiltonian Operator, that is of a relatively lower Kahler-Based nature. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (PHS 1989). 

Restrained Homotopic Transfer

 The restrained homotopic transfer, of a kinematically delineated Hamiltonian Operator, may often be eminently associated, with the projected trajectory, of a propagated cohomology-related topological entity. SAM.

Harmonic Reverberation Of A Hamiltonian Operator

 The harmonic reverberation of a Noether-Based mass-bearing Hamiltonian Operator, often tends to work to bear the recursive reiteration, of a sequential series, of an inherently attributable set, of exhibited anti holomorphic Kahler conditions. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Homotopic Transfer/ Homotopic Restraint

 Homotopic transfer may often be eminently associated, with the flow of the permittivity of a Ward-Cauchy-Related cohomological path curvature. Whereas; Homotopic restraint may often be eminently associated, with the flow of the impedance of a Ward-Cauchy-Related cohomological path curvature. SAMUEL DAVID ROACH. 

Anharmonic Output Of Recursively Recalibrated Chern-Simons Invariant Gauge-Actions

 For a directly affiliated kinematically delineated, given arbitrary Noether-Based charged Hamiltonian Operator; The lower that the anharmonic output is to be, of a respective directly appertaining set of recursively recalibrated Chern-Simons Invariant gauge-actions, the more efficient that the conduction of such an earlier stated Hamiltonian Operator, is to often tend to be. SAMUEL DAVID ROACH.(1989).

Harmonically Generated Anti Gravitational Perturbation

 The multiplicity of the general tense of action, which may be eminently associated with Harmonically generated anti gravitational perturbation, often tends to help escalate the generation of hermitian cohomology. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

Tense Of Gravitational Perturbation -- Tense Of Ricci Curvature

 When the proximal local gravitational perturbation is degenerative, the respective eminently related Ricci Curvature, will consequently often tend to bear an attenuated nature. It follows, that; When the proximal local gravitational perturbation is generative, the respective eminently related Ricci Curvature, will consequently often tend to bear an augmented nature. Furthermore; When the proximal local gravitational perturbation, is neither degenerative nor generative, the respective eminently related Ricci Curvature, will consequently often tend to bear, neither an attenuated nature nor an augmented nature, since this latter example, is indicative of the general case, in which the directly pertinent gravitational force, is to not be altering, (it will not bear a correlative tense of perturbation), in its proximal local respective eminently exhibited display. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

Perturbative Gravitational Force -- Lack Of Smooth Ricci Curvature -- Lack Of Gauge-Invariance

 A perturbative gravitational force is eminently associated, with the proximal local lack of a flat Ricci Curvature, to where such a just stated lack of a flat Ricci Curvature, may often tend to work to facilitate, the resultantly consequential proximal local lack of gauge-invariance. TO BE CONTINUED! SAM. 

Flat Ricci Curvature -- Gauge-Invariance

 A flat Ricci Curvature often works to facilitate, the proximal local existence of gauge-invariance. 

I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH. 

Spurious Group Attraction

 The incursion of spurious group attraction, may often tend to facilitate the spontaneous degeneration of gauge-invariance. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH. 

Steady-State Group Attraction

Steady-State group attraction, may often tend to work to facilitate gauge-invariance. SAM ROACH.  

Relatively Strong Group Attraction

 The incursion of a relatively strong tense of a hermitian group attraction, as imparted upon the proximal local presence, of a respective directly associated hermitian Hamiltonian Operator, may often tend to work to facilitate the general tendency, of the eminent maintenance, of a respectively correlative proximal local De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Gravitational Perturbation -- Rayleigh Scattering

 Gravitational perturbation, at a set locus, may, at times, be eminently associated, with the general occurrence, of a respective directly associated Rayleigh Scattering. SAMUEL DAVID ROACH. 

When The Gravitational Force Stops Its Perturbation -- Riemann Scattering

 When the gravitational force, that is here to be incurred, upon a specific set locus in space and time, is to spontaneously stop, in its initial general occurrence of perturbation, this may, at times, be eminently associated, with the proximal local incursion, of a Riemann Scattering, that may be spontaneously occurring, at this inferred proximal local region, in space and time, over the same general duration, in which the earlier stated gravitational force, is here to have ended, in its inferred initially occurring general process of perturbation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Perturbative Gravitational Force -- Viscosity Of Space-Time-Fabric

 Perturbative gravitational force, often tends to effect the viscosity of space-time-fabric, since its effect upon the behavior of cohomology-related deformation, will tend to work to effect the ebbing, of the directly associated pressurized vacuum -- to where this inferred perturbative ebbing of pressurized vacuum, will often tend to work to alter, the eminent association that is here to exist, between the proximal local Majorana-Weyl-Invariant-Mode, And, the respective proximal local I*PI(del) Action. SAMUEL. 

Binary Metric-Pulse Acting Upon A Reductional Planar Region Of Space-Time-Fabric

 When a binary metric-pulse is to act, in so as to work to bear a heuristic Yukawa Coupling, upon a reductional planar region of space-time-fabric, this may often tend to resultantly work to facilitate, the consequential formation, of a quaternion-based metric-pulse. TO BE CONTINUED! SAM ROACH. 

Perturbative Gravity -- Spurs In Homotopy

 When the gravitational force is perturbative, the directly corresponding Ricci Flow will tend to not be smooth, to where the directly associated homotopy that is consequently formed, will therefore tend to resultantly work to bear proximal local Chern-Simons-Related spurs, as taken along the path of the curvature of the eminently related Hamiltonian Operator, of which is here to be kinematically operating as an energy-related eigenstate, that is to be working to form such an inferred cohomology-related topological manifold, of which is here to be working to express such an earlier stated Ricci Flow. SAM ROACH. 

Heuristic Maintenance Of A Smooth Homotopy

When the multiplicity of the Fourier-Related-Progression, that is hereupon to be eminently associated, with the kinematic motion, of a directly corresponding Hamiltonian Operator, is thence to work to map-out a hermitian cohomology-related field of path-based curvature, it may therefore consequently tend to be said, in the general process, by which the respective Lagrangian-Based spatial translation, that is of this inferred "team" of discrete energy quanta, is thereupon to often have a consequentially heightened probability, of working to express the heuristic maintenance, of a relatively smooth homotopy. SAMUEL.

Fourier-Related-Progression

 The Fourier-Related-Progression of a given arbitrary Hamiltonian Operator, may often tend to be perceived of, as being, the quotient that is here to exist, between the respective Fourier-Transformation of the said Hamiltonian Operator, as divided by the directly associated Lagrangian of that self-same inferred "team" of discrete energy quanta. (To where; Such a stated "team" of discrete energy quanta, may be thought of as being a means of working to describe, the herein mentioned "Hamiltonian Operator.") SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED LATER!!!

Inversion Of Thought Coupled With The Inversion Of Frequency

 Often; The multiplicity of the inversion of thought, as heuristically coupled, with the inversion of frequency, may often tend to work to form, the proximal local presence, of a heuristic pulsation. SAM.

Heuristic Inverse Coupling Of Momentum With Majorana-Weyl-Invariant-Mode

 Often; When the multiplicity of a given arbitrary tense, of a heuristic Ward-Cauchy-Related momentum, is to be inversely coupled, with a given arbitrary tense, of the Majorana-Weyl-Invariant-Mode, this will, at times, have the general tendency, of working to facilitate the spontaneous initiation, of a respective given arbitrary tense, of a respective Ward-Cauchy-Related acceleration. TO BE CONTINUED! SINCERELY, SAM.

Heuristic Coupling Of Thought With Power

 The multiplicity of the heuristic coupling of thought with power, often tends to spontaneously facilitate, the rate at which force is to be physically applied, upon its environment. SAMUEL ROACH. (1989).

Thought Waves Of A De Rham Cohomology

 The stronger that a thought wave tends to be, the more probable, that it will consequently have the likelihood, of working to express a De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Frequency Of Thought Wave -- Rate Of Enactment

 The stronger of a frequency that a thought wave is to have, the quicker that it will tend to be enacted upon its environment. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH, (1989).

Rudiments Of Thought-Related Force / Gravity-Related Force

 The multiplicity of the reductional vectorial coupling, that is here to exist, between the "rudiment" of thought-related force, and the "rudiment" of gravitational-related force, often has the general tendency, of working to form a tense, of a unitized Bianchi-Related propagational tensor. Whereas; The multiplicity of the reductional coupling, that is here to exist, between the eminent effect of thought-related force, And, the eminent effect of gravitational-related force, often has the effect of tending to facilitate, the propagation of time. It therefore follows, that the "rudiment" of thought-related force, happens to be the Inverse, of the "rudiment" of gravitational-related force. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Anharmonic Spike In The Directly Associated Ricci Flow

 The proximal local presence of Chern-Simons-Related spurs, in the homotopic transfer, of the Lagrangian-Based path, of a kinematically propagated Hamiltonian Operator, tends to be eminently associated, with a set of one or more anharmonic spikes, in the respective directly associated Ricci Flow. SAMUEL. 

Smooth Homotopic Transfer -- Gauge-Invariance

 When a given arbitrary Noether-Based Hamiltonian Operator, is to work to exhibit the display, of a relatively smooth tense of homotopic transfer, it will consequently have a heightened probability, of being capable of working to exhibit the display, of expressing a tense of gauge-invariance, than if it were otherwise, when every other factor was here to analogously be present, to Not be working to exhibit the display, of such a relatively smooth tense of homotopic transfer. TO BE CONTINUED! SAMULE ROACH. 

Eminent Association With Lagrangian-Based Spurs

 The proximal local presence of Lagrangian-Based Chern-Simons-Related spurs, tends to be eminently associated, with a perturbative Ricci Flow. TO BE CONTINUED! SINCERELY, SAM ROACH.

Homotopically Smooth Cohomology-Related Deformation

 When the cohomology-related deformation is to be homotopically smooth, as this is here to be imparted in a piecewise continuous manner, the directly associated Ricci Flow, of which is here to be effectual, at the Poincare level to the inferred Lagrangian-Based motion, that is here to be of the respective given arbitrary Hamiltonian Operator, that is here to be kinematically transferred through space over time, in so as to work to form the correlative associated cohomology-related topological manifold, it will hereupon consequently follow, to where such a stated Ricci Flow, will therefore spontaneously tend to resultantly behave, in a manner that is both smooth and hermitian, over the inferred duration, in which such an inferred net energy-related eigenstate, is here to bear a homotopically smooth cohomology-related deformation. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Heuristically Effectual Scalar Drive / Inverted Effectual Scalar Drive -- Majorana-Weyl-Invariant-Mode

 Heuristic Gravitational Force, as imparted upon a correlatively respective given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to work to form, the heuristically effectual scalar drive, of the eminently related Majorana-Weyl-Invariant-Mode, that is here to be corroborative, in its relation to such an inferred "team," of discrete mass-bearing energy quanta. Whereas; Anti Gravitational Force, as imparted upon a correlatively respective given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to work to form, the inverted effectual drive, of the eminently related Majorana-Weyl-Invariant-Mode, that is here to be corroborative, in its relation to such an inferred "team," of discrete mass-bearing energy quanta. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

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. 

Some Cool Neat Stuff As To Gravitational Topological Variance (GT's)

 In general; Here is a refined synapsis, as to how to work to determine the gravitational topological variance, for a superstring of discrete energy permittivity, when in lieu of the cross, between both the number of spatial dimensions that such a said superstring is to be working to exhibit, in a given arbitrary case scenario, as well as also working to consider, the number of spatial dimensions that such a stated superstring of discrete energy permittivity is to be traveling through. (The number of spatial dimensions, that are of the medium of space-time-fabric, of which such a mentioned string, is to be in the process of being transferred through, over a relatively transient proscribed respective duration of time.)

Let us initially consider the variable, "D," to work to signify or denote, here, the number of spatial dimensions, of which the herein considered proximal local superstring of discrete energy permittivity, is to be exhibiting, as it is being in the general process of being physically transferred, from one given arbitrary respective locus in space and time, to another given arbitrary respective locus in space and time. Let us next consider, that the variable, "N," is here to work to signify or denote, the number of spatial dimensions, of which the space-time-fabric, that such a superstring of discrete energy permittivity is to be traveling through, is thence to be working to be exhibiting. This being the case, one may therefore say:

GT(v) (The gravitational topological variance) = 

(((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)*(e^(2*(1-N)))+ 1))*(((N^.5)/N)*((e^(The Ricci Flow))^D) (+ - ihat, + - jhat, + - khat, ... + - q(n)hat.))

This means, that aside from the heuristic wobbling, that is of any one particular given arbitrary superstring of discrete energy permittivity, that, due to the general tendency, of the incurred force of gravity, upon such a generic stated string, that the length of the each of the spatial dimensions, of which are here to be proximal local, to the physical presence of such a said superstring, may thereby vary in the scalar magnitude of their exhibited display, by a factor of up to (+ -) The scalar amplitude, that is of the herein inferred GT's.

For example.Let us consider an electron. It heuristically has six spatial dimensions plus time. (On the order, of being related to a "Calabi-Yau Manifold.")  So "D," here, will have a value of "6."

Next. Let us consider such an electron, to be moving through a medium of space-time-fabric, of which is here to consist, of an exhibited display, of six spatial dimensions plus time. So "N," here, is also "6."

This would thence mean, that the "lengths" of the six individually taken spatial dimensions, that are here of each of the six inferred spatial axions, are going to vary in their scalar amplitude, up to a factor of + or - ABOUT "5.01672812*10^(-6)" of the heuristically considered length, that these would otherwise tend to be exhibiting, just on the account, of the general influence, of the effect of the hereupon inclusive incursion, of the proximal local force of gravity, that is here to be enacted, upon the multiplicity of such inferred individually taken superstrings, of discrete energy permittivity. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

To Refine my math more, just to make this idea hit home a little better; 

When one is to be dealing with a Ward-Cauchy-Related field, of Cotangent Bundle R(N),  as such a field is here to be heuristically comprised of by M spatial dimensions (to where, M is here to be analogous to what I had earlier termed of, as being, "D"), as taken over an eminently corroborative Fourier transform, that it is thereby to consequently follow, that the Gravitational Topological Variance, is thence to be:

GT(v(M)) = (((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)))+1))*(((N^.5)/N)*((e^(The Ricci Flow))^M)  (+ - ihat, + - j hat, + - khat, ... + - q(n) hat.)) Thank You For Your Understanding!

Tangential/Co-Tangential Heuristic Pulsation

 When a gravitational-related force, is to be applied upon a Hamiltonian Operator: The potential physical application of Anti Gravity, often tends to have a relatively high probability, of working to incur a tangential heuristic pulsation, upon the general topological manifold, of such a stated Hamiltonian Operator. Whereas; The potential physical application of heuristic Gravity, often tends to have a relatively high probability, of working to incur a co-tangential heuristic pulsation, upon the general topological manifold, of such a stated Hamiltonian Operator. TO BE CONTINUED! SINCERELY, SAM ROACH.

Perturbation Of Spatial Dimensionality Traveled Through

 When a given arbitrary Noether-Based Hamiltonian Operator, is to be traveling through a field of space and time, in which the eminently pertinent proximal local spatial dimensionality, is here to be in the general state of perturbation, it will consequently follow, that this general physical condition, will often tend to work to facilitate the formation, of a set of one or more Lagrangian-Based Chern-Simons-Related spurs, as taken over the reductional durational course of kinematic motion, in which such an inferred set or system of discrete quantum energy, is here to be in the general process, of being physically transferred, from one initially delineated spot to another. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Fourier-Related-Progression -- Homotopic Transfer

 For two different covariant Hamiltonian Operators, that are here to be traveling through symmetrically analogous paths: The stronger the Fourier-Related-Progression, the greater that the homotopic transfer will consequently tend to be. And; The weaker the Fourier-Related-Progression, the lower that the homotopic transfer will consequently tend to be. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Recursive Incursion Of Perturbative Gravitational Force

 The recursive incursion of perturbative gravitational force, upon an otherwise De Rham cohomology-related topological manifold, will often tend to work to form, the consequentially impelled recursive incursion, of a resultant correlative set of eminently imparted Dolbeault-Related cohomology-based characteristics, as taken upon the interactive Lagrangian-Based motion, that is here to be of the directly associated Hamiltonian Operator, of which is to be working to form the earlier stated cohomology-related attributes, of which have been inferred to here, in the presentation of this particular case scenario. SINCERELY, SAMUEL DAVID ROACH. 

Anharmonic Co-Mingling Of Gravitational Forces With Anti Gravitational Forces

 When there is to be an Anharmonic co-mingling that is here to exist, between a set of proximal local gravitational forces, with a set of anti gravitational forces, this general type of a physical case scenario, will often tend to work to consequently produce a general tense of a "turbulence," in the innately latent locally present pressurized vacuum, that is here to be proximal local, to the physical cite in space and time, in which such a tense of an anharmonic co-mingling, is here to be occurring. SAMUEL ROACH.(1989).

Steady-State Gravitational Force -- Back To Basics

 The incursion of a steady-state tense of gravitational force, that is non perturbative, at the Poincare level to the immediately externalized vantage-point, of a directly affiliated correlative Hamiltonian Operator, of which is here to be proximal local, to this inferred steady-state tense of gravitational influence, tends to be eminently associated, with both a Flat Ricci Curvature, and, a smooth Ricci Flow. SAM ROACH.(1989).

Non-Escalating Lagrangian -- Steady-State Gravitational Force -- Gauge-Invariance

 The non-escalating Lagrangian-Based motion of a given arbitrary Noether-Based Hamiltonian Operator, that is to be proximal local to the functional operation of a steady-state tense of a heuristic gravitational force, is a general genus of physical characteristics, that may often work to facilitate the general physical condition of gauge-invariance. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Incursion Of Stable Gravitational Force

 The incursion of a stable gravitational force, upon the Lagrangian-Based motion of a given arbitrary kinematically delineated Noether-Based Hamiltonian Operator, often tends to facilitate the proximal local presence, of a De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Kahler-Related Quotient Of Homotopic Transfer

 Consider the cohomological mappable path, that is here to be, of the Lagrangian of a given arbitrary Hamiltonian Operator. Consider both the Clifford-Related Expansion, and, the Euclidean-Related Expansion, that are of the correlative Laplacian-Based setting, that is here to be directly associated, with the projected trajectory, of such an earlier stated cohomological mappable path. The quotient that is eminently perceivable, as being the resultant physical attribute, that is here to exist, when one is to mathematically consider the expression, that is of the stated Clifford-Related Expansion as being divided by the stated Euclidean-Related Expansion, to where this may often be consequently thought of, as being eminently associated with the Kahler-Related Quotient, of the homotopic transfer, that is here to often tend to be corresponding, to of the relatively piecewise continuous homotopic transfer, of the cohomological flow, of the mappable-tracing of the Lagrangian-Based path, that the earlier stated Hamiltonian Operator, is here to have just endeavored to work to form, in the general process of the multiplicity of its propagational conveyance, along the generally conceived of reductional topological manifold, that is of the perpetually curved Hamiltonian Operand, that is here to consequentially be eminently associated, with the projected trajectory of the Rarita Structure, that is here to work to form the multiplicity of interconnection, amongst the energy-related phenomenology, of the general panoply of space-time-fabric. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Apology For A Certain MistakenTerminology

 The concept that I had once called, "holomorphic transfer," would be more accurately portrayed, as being called, "homotopic transfer." I apologize for that! SINCERELY, SAMUEL DAVID ROACH. (1989).

Wave-Tug Of Hamiltonian Operator Frequency

 A Hamiltonian Operator that expresses a relatively deep Kahler-Based Quotient, often tends to exhibit a frequency, that is eminently associated with a relatively strong wave-tug, that is here to be directly corresponding, to the expression of its correlative angular momentum. 

Inverted Tense Of Frequency/Thought

 When an inverted tense of frequency and an inverted tense of thought, are to couple, in a heuristically hermitian manner, this may often tend to consequently work, to form a reductional tense of pulsation. SAMUEL DAVID ROACH. 

Escalating Hamiltonian Operator -- I*PI(del) Action

 A Hamiltonian Operator that is to spontaneously escalate, in either its dimensional-related pulsation and/or in its Lagrangian-Based projection, will tend to consequently spontaneously result, in the incursion of the eminent proximal local presence, of the kinematically initiated general operation, of the I*PI(del) Action. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Fourier-Related-Progression Of A Lagrangian-Based Expansion

 A Hamiltonian Operator, that works to express the Fourier-Related-Progression, of an escalating Lagrangian-Based Expansion, will tend to Not be gauge-invariant. SINCERELY, SAM ROACH. 

The Fourier-Related-Progression Of The Frequency Of A Cohomological Topological Manifold

 The Fourier-Related-Progression, of the frequency of a De Rham cohomological topological manifold, tends to be "crisper," than the Fourier-Related-Progression, of the frequency of a Dolbeault cohomological topological manifold. SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED! (1989).

Anti Gravitational Field/Gravitational Field -- De Rham/Dolbeault Cohomology

A Hamiltonian Operator, of which is to initially be expressing a De Rham cohomology, that is here to be traveling through an anti gravitational field, to where the earlier stated Hamiltonian Operator, is subsequently to be altered, into spontaneously entering the ensuing proximal local presence of a heuristic gravitational field, will often change here, into then working to express a Dolbeault cohomology. SAM. (1989).

Alteration In Gravitational Field -- Ricci Flow

 When the anti gravitational field, that is proximal local to a given arbitrary directly associated Hamiltonian Operator, of which is here to initially be expressing a recursively smooth Ricci Flow, is to spontaneously work to bear an eminent perturbation, into subsequently expressing the proximal local presence of a heuristic gravitational field, the directly associated viable Ricci Flow, will often tend to resultantly spontaneously stop, at its initially viable expression, of the earlier stated tense, of a recursively smooth Ricci Flow. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM. 

Alteration Of Gravitational Scenario

 When the gravitational field, that is proximal local to the motion, that is of a given arbitrary Hamiltonian Operator, is to alter -- from working to express anti gravity, into then subsequently working to express a heuristic tense of gravity -- there will often tend to consequently result, the spontaneously eminent proximal local directly associated presence, of a correlatively ensuing set, of one or more (spurious) Chern-Simons Singularities. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH. 

Cool Too

 To my particular model of string theory; The holonomy of Zero-Point-Energy, is the smallest discrete phenomenology that can be divvied-out. I Furthermore venture, that; The Lagrangian of Zero-Point-Energy, is the smallest discrete motion that can be viably divvied-out. 

Next:

[(The product of the 8 main influences of physical nature, as taken at the reductional discrete quantum level, divided by the Planck Instant squared)]

=

[(The discrete Holonomy of Zero-Point-Enegy, multiplied by discrete mass squared -- as taken at the reductional quantum level)]. 

Furthermore:

[(The product of the 8 main influences of physical nature, as taken at the reductional discrete quantum level, divided by the Planck Instant squared)] 

= 

-I*[The discrete Lagrangian of Zero-Point-Energy, multiplied by discrete mass squared -- as taken at the reductional quantum level)].

This is some, "food for thought." TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

The Multiplicity Of The General Propagation Of The I*PI(Del) Action, Per Sequentially Respective Instanton

 The multiplicity of the general propagation of the I*PI(del) Action, per sequentially respective instanton, works to play a key role, in helping to facilitate the permeation, of what is known of as magnetism, to thence be able to be conducted through the general medium of space-time-fabric, in order to help to induct the general electrodynamic capability of capacitive materials, to be able to have a proximal local electrostatic flow, as eminently associated with its internally present spontaneously formed electrical current, that is thence to be generated, in so as to help to allow for the consequentially resultant flow of magnetism, that is eminently essential, in order to have the capacity of inducting any viable electrical flow, through any given arbitrary respective mass-bearing medium, of which is to bear a respective internally present propagation of charge-related eigenstates.  I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! (1989). SINCERELY, SAMUEL DAVID ROACH. 

Anharmonic Oscillating Net Gauged-Action

 A charged Noether-Based Hamiltonian Operator, that is here to be working to express an anharmonic oscillating net gauged-action, will tend to work to facilitate the generation, of a set of relatively highly entropic Chern-Simons Invariant metric-gauge eigenstates.  SINCERELY, SAMUEL DAVID ROACH.(1989). GENESIS HOUSE. 

Steady Tense Of Inertia

 A Noether-Based gauge-invariant Hamiltonian Operator, that works to express a De Rham cohomology, will have the general tendency of working to exhibit the display, of a steady tense of inertia. SAM.

Cool

 [(The product of the 8 main influences of physical nature, as taken at their reductional discrete quantum level) per Planck Instant squared] 

= [Zero-Point-Energy*(discrete mass, as taken at its reductional quantum level, squared)].

Harmonically Oscillating Net Gauged-Action -- Recursively Re-Calibrated Chern-Simons Invariants

 When the net gauged-action, of a given arbitrary kinematically delineated Noether-Based mass-bearing Hamiltonian Operator, is to harmonically oscillate, over the course of a directly associated Fourier-Related-Progression, the stated Hamiltonian Operator, will thereby consequently tend to spontaneously work to be eminently associated, with bearing a field, that is to be Poincare to the proximal local presence, of a facilitated tense, of a set of one or more directly associated covariant kinematically distributed recursively re-calibrated Chern-Simons-Invariant-Related metric-gauge eigenstates. TO BE CONTINUED! SINCERELY, SAM ROACH. 

As To Charge

 Charge amounts to being --- The kinematically distributed delineation, of the wave-tug of magnetism-related metric-gauge eigenstates.  TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Flow Of The I*PI(del) Action -- Wess-Zumino Action/Civita Actions

 The heuristic permeation of the flow of the I*PI(del) Action, often tends to be eminently associated, with a particular tense of the Wess-Zumino Action. Whereas; The dispersive restraint of the flow of the I*PI(del) Action, often tends to be eminently associated, with a particular tense of the Civita Action. SAMUEL ROACH. 

Part 3 Of The Flow Of The I*PI(del) Action

 The heuristic permeation of the flow of the i*PI(del) Action, often tends to help in working to facilitate, the inverted dispersion, of spontaneously formed Chern-Simons Invariant metric-gauge eigenstates. Whereas; The dispersive restraint of the flow of the I*PI(del) Action, often tends to help in working to facilitate, the heuristic dispersion, of spontaneously formed Chern-Simons Invariant metric-gauge eigenstates. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL LDAVID ROACH. 

Riemann/Rayleigh Scattering Of Cohomology-Related Flow

 Charge often tends to facilitate, the Riemann Scattering of a cohomology-related flow. Whereas; Entropy often tends to facilitate, the Rayleigh Scattering of a cohomology-related flow. SAMUEL ROACH. 

Part 2 Of The Flow Of The I*PI(del) Action

 The heuristic permeation of the flow of the I*PI(del) Action, works to help form the harmonic output, of the respectively recursively re-calibrated Chern-Simons Invariants. And; The dispersive restraint of the flow of the I*PI(del) Action, works to help form the anharmonic output, of the respectively recursively re-calibrated Chern-Simons Invariants. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Flow Of The I*PI(del) Action

 The heuristic permeation of the flow of the I*PI(del) Action, when Chern-Simons Invariants are being recursively re-calibrated, helps to work to form charge. And; The dispersive restraint of the flow of the I*PI(del) Action, when Chern-Simons Invariants are being recursively re-calibrated, helps to work to form entropy. I WILL CONTINUE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Why Lagrangian-Based Motion Tends To "Ripple"

 Discrete Quanta of energy have the general tendency, of continually working to bear both an oscillation-based motion, And, a transversal-based motion. When these are to combine, this general tendency of a simultaneously combined radial And transversal motion, (at the vantage-point of the respectively considered individually taken discrete quanta of energy), works to form the multiplicity, of a frequency of vibration -- as taken over the durational-based Fourier-Related-Progression, of the Lagrangian-Based motion, of the kinematic spatial translation, of a given arbitrary directly associated tense of a Hamiltonian Operator. (And, a Hamiltonian Operator is generally considered to be the overall energy of a system.) Such an earlier stated frequency, of which may often be perceived of as being the Inverse of the time of an energy-related physical vibration, may often be indicative, of the ripple-like motion of an eigenstate of an energy-related disturbance of space, of which is to interact spontaneously with the immediately externalized space-time-fabric that surrounds it, in a Gliossis-based manner, over time, in so as to work to form the general tense, of the topological multiplicity, of what may be thought of as being, cohomology-related manifolds. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Flow Of Magnetic Charge

 The permittivity of the flow of magnetic charge, works to form current (charge per time). And; The impedance of the flow of magnetic charge, works to form resistance (energy*time per charge squared). The dot product of the permittivity of the flow of magnetic charge, With the impedance of the flow of magnetic charge, works to form voltage, (energy per charge). TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Hermitian -- Transversal And Metric Spatial Transference

 Noether-Based mass-bearing Hamiltonian Operators, that are hermitian in both their transversal and in their metric spatial transference, tend to work to bear a Fourier-Related-Progression, that is here to be eminently associated, with a relatively smooth mappable homotopic translation, as taken over a respective correlative duration of time. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Enhanced Ripple

 When the ripple of the Lagrangian is enhanced, the scalar amplitude of the directly associated cohomology will have the general tendency of being augmented. 

Ripple Of Lagrangian

 The stronger the ripple of the Lagrangian, the more pronounced the cohomology. The weaker the ripple of the Lagrangian, the less pronounced the cohomology.

Schwinger-Related Vibrations -- Dimensional-Related Pulsation

 When the Schwinger-Related vibrations, that are incurred upon a tense of discrete energy impedance, are to alter in their frequency, this will often tend to abrupt the flow of the Fourier-Related-Progression, of the directly associated inferred discrete energy quantum, to where this will thereby have the general tendency, of often working to alter the directly associated dimensional-related pulsation, of such a mentioned energy quantum. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH. 

Frequency Of Schwinger-Related Vibrations -- Light-Cone-Gauge Eigenstate

 When the Schwinger-Related vibrations that are incurred upon a light-cone-gauge eigenstate, are to alter in their frequency, this will often tend to work to spontaneously form a metric-based Chern-Simons singularity. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

Ripple

 When the "ripple" effect, that is to be incurred upon a light-cone-gauge eigenstate by the Rarita Structure, is to perturbate, the directly associated quantum of energy that is thus eminently effected, will thereby often tend to spontaneously work to bear, a resultantly formed proximal local metric-based Chern-Simons singularity. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Net Cohomological Flow Of A Noether-Based Mass-Bearing Cohesive Set Of Discrete Energy Quanta

 When the net cohomological flow of a Noether-Based mass-bearing cohesive set of discrete energy quanta is hermitian, it will consequently tend to spontaneously work to bear no net Lagrangian-Based Chern-Simons singularities. I WILL CONTINUE WITH THE SUSPENSE LATER! SAM ROACH. 

Entity Of Majorana-Weyl-Invariance

 When an entity of Majorana-Weyl-Invariance is spatially tugged, at a venue that is immediately external from its core-field-density, this general process, often tends to be eminently key, at working to form the reductional physical characteristic of mass. TO BE CONTINUED1 SINCERELY, SAM ROACH.

Kinematically Transferred Entity Of A Discrete Hermitian Disturbance Of Space

 The physical entity of a discrete kinematically transferred hermitian venue, that is here to be of a reductional disturbance of space-time-fabric, (as in the form of a disturbance in the tense, of the proximal local Ward-Cauchy-Related pressurized vacuum), tends to be tantamount to being analogously equivalent, to a negative i times its spatial transference, through such an inferred medium of pressurized vacuum. SAMUEL ROACH. (PHS).

The Restraint That Is Incurred Upon A Quantum Of Discrete Energy

 The restraint that is incurred upon a quantum of discrete energy, has both radial and transversal components directly associated with it. TO BE CONTINUED! SINCERELY, SAM ROACH. 

As To The Del Of The Gauged-Action

 Since one discrete quantum of the actual "thing" of energy, is equal to a negative i times one discrete quantum of the actual "motion" of energy, and, since one discrete quantum of the actual "motion" of energy, is equal to i times one discrete quantum of the actual "thing" of energy -- it thereby follows, that; The physical restraint, that is here to be incurred upon one discrete quantum of the actual "thing" of energy, is equal to i times the physical restraint, that is to be incurred upon one discrete quantum of the actual "motion" of energy, and, the physical restraint that is here to be incurred upon one discrete quantum of the actual "motion" of energy, is equal to a negative i times the physical restraint, that is to be incurred upon one discrete quantum of the actual "thing" of energy. This is what I meant, when I had described my idea in the past, as to what the "Idella" Theorem, is here to be conveying. SINCERELY, SAM ROACH. 

Sporadically Reverberating Hamiltonian Operator -- Kinematically Bound From Within A Set Of Ward-Cauchy-Related Physical Bounds

 When a given arbitrary Noether-Based Hamiltonian Operator, is to sporadically reverberate, in such a manner, to where such an inferred cohesive set of energy eigenstates, is here to be kinematically bound from within a set of Ward-Cauchy-Related physical bounds, it will thereby often consequently tend to follow, that such a stated Hamiltonian Operator, will thereupon often spontaneously work here to exhibit, the recursive display, of a reiteratively expressed set, of anti holomorphic Kahler conditions. SINCERELY, SAMUEL DAVID ROACH. 

Chern-Simons Singularities -- Homotopic Discontinuity

 The proximal local presence of Chern-Simons singularities, as taken along the Lagrangian-Based path of a kinematically transferred  Hamiltonian Operator, often tends to work to form, a tense of homotopic discontinuity. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989). 

Piecewise Continuity -- Homotopic Residue -- De Rham Cohomology

 The homotopic residue that is directly associated with a De Rham cohomology, tends to bear more piecewise continuity, than the homotopic residue that is directly associated with a Dolbeault cohomology. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH.  

Anti Gravity -- Piecewise Continuous Conservation Of Homotopic Residue

 The proximal local presence of anti gravity, often tends to facilitate the piecewise continuous conservation of homotopic residue. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Recursively Smooth Ricci Flow -- Piecewise Continuous Conservation Of Homotopic Residue

 When the Ricci Flow is recursively smooth, the directly associated homotopic residue tends to be conserved in a piecewise continuous manner. TO BE CONTINUED! SINCERELY, SAMUEL. 

Greater Kahler-Based Quotient -- Deeper Resonant Vibration

 The greater that the Kahler-Based quotient is to be, for a given arbitrary Noether-Based Hamiltonian Operator, the deeper of a resonant vibration, that such a stated Hamiltonian Operator will thereby often consequently tend to work to express. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Inter-Binding(s) Between Linked Cohomology-Related World-Sheets

 When the inter-binding(s) between linked cohomology-related world-sheets is (are) hermitian, the inferred net flow of curvature, of which is here to interdependently exist from amongst the proximal local presence of such world-sheets, is thence to often tend to work to bear a relatively smooth homotopy. SAMUEL ROACH. 

Analogy To The Fujikawa Coupling

 The smoothly hermitian folding of a flat cohomology-related world-sheet into a rounded cohomology-related world-sheet, is relatively analogous to the Fujikawa Coupling. SAMUEL ROACH.(1989).

The Discrete Re-Distribution Of A Gauged-Action

 The actual physical motion of the discrete re-distribution of a gauged-action, may often tend to be thought of here, as being an example, of a particular general genus, of a gauge-metric eigenstate. TO BE CONTINUED! SAMUEL ROACH. 

As To The Discrete Re-Distribution Of A Gauged-Action

 The discrete physical entity of a re-distributed gauged-action, in the Ward-Cauchy-Related realm, may often tend to be thought of here, as being of a particular general genus, of a metric-gauge eigenstate. SAMUEL ROACH.  

Lagrangian Operational Indices -- Gauge-Metric Eigenstates

 Lagrangian operational indices of re-distributed pressurized vacuum -- as taken at the Ward-Cauchy-Related level -- often tend to act as gauge-metric eigenstates. TO BE CONTINUED! SAMUEL. 

Holonomic Operational Indices -- Metric-Gauge Eigenstates

 Holonomic operational indices of re-distributed pressurized vacuum -- as taken at the Ward-Cauchy-Related level -- often tend to act as metric-gauge eigenstates. TO BE CONTINUED! SAMUEL.

Majorana-Weyl-Invariant-Spinors -- Chern-Simons Invariants

Majorana-Weyl-Invariant-Spinors often tend to exhibit the display, of recursively recalibrated Chern-Simons Invariant gauge-metric-related eigenstates. TO BE CONTINUED! SINCERELY, SAM. 

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! 

Ricci Flow -- Escalating Slater-Based Clifford Expansion/Euclidean Expansion -- Tree-Amplitudes

When the Ricci Flow of a Hamiltonian Operator, is to work to bear an escalating Slater-Based Lagrangian-Related Expansion, that is both of a Clifford-Based nature and a Euclidean-Based nature, simultaneously, via a "Sterling Approximation," the consequential directional wave-tug of the net gauged-action, that is here to be eminently associated, with the correlative topological sway in the drive of its directly corresponding angular momentum, will often tend to bear the resultant inter-play, of a set of one or more directly associated tree-amplitudes. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Ricci Flow -- Escalating Euclidean Expansion -- Acceleration In Flow Of Frequency, Of The Correlative Transversal Hermicity

 When the Ricci Flow of a Hamiltonian Operator, is here to be undergoing an escalating Slater-Based Euclidean Expansion, the frequency in the flow of its correlative transversal hermicity, will consequently tend to accelerate, in a piecewise continuous manner, over a respective duration of time. SAMUEL. 

Ricci Flow -- Escalating Clifford Expansion, Over Time -- Increased Frequency In Correlative Flow Of Radial Hermicity

 When the Ricci Flow of a Hamiltonian Operator, is here to be undergoing an escalating Slater-Based Clifford Expansion, the frequency in the flow of its correlative radial hermicity, will consequently tend to accelerate, in a piecewise continuous manner, over a respective duration of time. SAMUEL ROACH. 

Scattered Electrons -- Cohomology

 When an electron is initially scattered, it will temporarily tend to spontaneously alter, from starting off expressing a De Rham cohomology, to then next, working to express a Dolbeault cohomology. TO BE CONTINUED! SAM ROACH. 

Scattered Electrons -- Temporary Lack Of BothTransversal And Radial Hermicity

 When an electron is initially scattered, it will temporarily tend to spontaneously lose both its transversal hermicity and its radial hermicity, to where, at the hereupon insinuated moment, in which such an electron is here to be scattered, the inferred Hamiltonian Operator of such a given arbitrary case scenario, (of which is here, to be the stated electron of such a respective case), will tend to spontaneously work to express the exhibition, of both a set of one or more Lagrangian-Based Chern-Simons singularities, as well as inferredly mapping-out a set of one or more metric-based Chern-Simons singularities. SAM ROACH. 

Lack Of Radial Hermicity -- Metric-Based Chern-Simons Singularities

 Right when a given arbitrary Hamiltonian Operator works to lose its radial hermicity, it will tend to spontaneously work to express the exhibition, of a set of one or more metric-based Chern-Simons singularities. 'TILL NEXT TIME, AT THIS BLOG CITE! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Lack Of Transversal Hermicity -- Lagrangian-Based Chern-Simons Singularities

 Right when a given arbitrary Hamiltonian Operator works to lose its transversal hermicity, it will tend to spontaneously work to express, the exhibition of a set of one or more Lagrangian-Based Chern-Simons singularities. 'TILL LATER, AT THIS BLOG CITE! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Escalating Lagrangian-Based Expansion -- Correlative Hamiltonian Operator Not Gauge-Invariant

 A given arbitrary Hamiltonian Operator, that works to express an escalating Lagrangian-Based Expansion, will tend to bear a perturbative tense of motion, to where such a stated Hamiltonian Operator will thereupon tend to NOT be gauge-invariant. TO BE CONTINUED! SINCERELY, SAMUEL. 

Euclidean Expansion Of Non-Escalating Transversally Hermitian Hamiltonian Operator -- Gauge-Invariant

 When a non-escalating Hamiltonian Operator, that is here to be undergoing a euclidean expansion, over time, is to bear the general characteristic, of being spontaneously transversally hermitian, that such an earlier stated respective Hamiltonian Operator, will often, during the general durational course of such a case scenario, behave as exhibiting the reductional display, of the general tense, of a gauge-invariant nature. 'TILL LATER, AT THIS BLOG CITE1 TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Ward-Cauchy-Related Fractal Of "Thrust"

 When one given arbitrary Hamiltonian Operator, is to kinematically propel itself from another given arbitrary Hamiltonian Operator, in a Gliossis-Related manner, over time, in so as to work to tangentially fleet away from the second stated Hamiltonian Operator, via the respective projected course of its Lagrangian-Based trajectory, as this is here to be taken, over the covariant duration, of a sequential series of group-related instantons, that such an inferred force of a Ward-Cauchy-Related propulsion, may often at times, tend to work to express, the general characteristic, of a Ward-Cauchy-Related fractal of "thrust." SINCERELY, SAMUEL DAVID ROACH.

Some Attributes Of A De Rham Cohomology

 When a kinetically differentiable Hamiltonian Operator, is to explicitly express a Yau-Exact nature, it will often tend to exhibit the display, of a De Rham cohomology. A De Rham cohomology, not only tends to be both transversally and radially hermitian, in the projected trajectory of its mappable-tracing, yet, a De Rham cohomology, also often tends to work to exhibit the display, of a steady-stated pulsation. SAMUEL. 

Rotating Gauge-Invariant Hamiltonian Operator

 A smoothly recursive rotating gauge-invariant Hamiltonian Operator, that is transversally hermitian in its kinematic transference, will often work to bear its resonant pulsation, at a relativistically set locus, when taken at an internal reference-frame to the spin-related coni-axion. TO BE CONTINUED!  SINCERELY, SAMUEL DAVID ROACH. (1989). 

Asymmetric Spin, Of Adjacent Holonomic Mass-Bearing Phenomenology

Two different given arbitrary adjacent Ward-Cauchy-Related inherently Noether-Based mass-bearing kinematically differentiable  holonomic Hamiltonian Operators, that are Gaussian to one another, that would otherwise be encroaching upon each other's space, will have the general tendency, of working to bear an asymmetric tense of spin, in relative covariance with one another. TO BE CONTINUED! SINCERELY, SAMUEL.

Heuristic Yukawa Coupling Incurred -- Holomorphic Kahler Conditions

 When a Wess-Zumino-Related Action is to be kinematically applied, upon the Lagrangian-Based motion of a given arbitrary Hamiltonian Operator, via the physical application of a Heuristic Yukawa-Related Coupling, as this is here to be taken over a proscribed relatively transient duration of time, this general genus of a Ward-Cauchy-Related tense of an activity, will often work to facilitate the cohomology-related initiation, of a mappable set of spontaneously induced proximal local holomorphic Kahler-Based conditions. I WILL CONTINUE WITH THE SUSPENSE LATER! Sincerely, SAM ROACH. 

Inverted Yukawa Coupling -- Anti Holomorphic Kahler Conditions Incurred

 When a given arbitrary Cevita Action is to incur an inverted Yukawa Coupling, upon the Lagrangian-Based motion of a respective given arbitrary Hamiltonian Operator, this general modus of operation, will often tend to work to facilitate the spontaneous proximal local presence, of a set of anti holomorphic Kahler conditions, upon the directly corresponding topological region, of which such a stated Hamiltonian Operator is to be Gliosis with, over the eminent duration in which such a mentioned Cevita Action, is to be physically translated upon the stated Lagrangian-Based motion, of such a system of energy-related eigenstates.I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH, 

As To A Hamiltonian Operator That Is Constrained Within The Confines Of A Semi-Infinite Well

 Often, when the Lagrangian of a Hamiltonian Operator is mappable, as working to express a recursively stable flow of motion, upon the physically projected trajectory, of a limited distinct set of anti holomorphic Kahler related paths, that this may often be the general type of a case scenario, in which such an earlier stated Hamiltonian Operator, is here to potentially be confined within a restrictive region, of which may here work to express the reductional operation, of acting as a particular case, of what may be termed of here, as being of a semi-infinite well. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (PHS1989).

When The Net Gauged-Action Amongst A Set Of Hamiltonian Operators Is Steady-State

 When a given arbitrary set of Noether-Based Hamiltonian Operators, is to work to bear a recursively stable Yukawa-Based inter-relationship, over a given arbitrary respectively proscribed duration of time, the resultant net gauged-action, that is here to be present among the proximal local kinematic activity, of such a stated set of Hamiltonian Operators, will often tend to work to bear the nature, of working to express a respective set of steady-state-related physical conditions, as this is here to be considered, over the general course of the inferred Fourier-Related-Progression, of such an implied "team" of interdependently interactive cohesive sets of discrete energy quanta. SINCERELY, SAMUEL ROACH. 'TILL NEXT TIME, AT THIS BLOG CITE. I WILL CONTINUE LATER WITH THIS!(SEE YAH!)

Net Harmonic Schwinger-Related Vibration

 When two acutely approaching anharmonic Schwinger-Related vibrations are to converge, in which both of the initially considered respective anharmonic vibrations, are to be asymmetrically covariant, when in terms of their proximal local dispersive oscillation-based modes, there may, at times, be the consequential case scenario, in which the resultant net Schwinger-Related vibration, that is thus formed, may work to bear an eminent harmonic tense of the Fourier-Related-Progression, of a consequentially propagated oscillating wave, that is here to be transferred tangentially, along the Rarita Structure. SAM ROACH.

Anharmonic Schwinger-Related Vibrations -- Cevita Action

 When a set of anharmonic Schwinger-Related vibrations, are to work to bear a Gliossis interaction, with an initially isotropically stable Hamiltonian Operator, this may often have the general tendency, of working to help facilitate, the formation of a general type of a Cevita Action. TO BE CONTINUED! SAMUEL. 

Harmonic Schwinger-Related Vibrations -- Wess-Zumino Action

 When a set of harmonic Schwinger-Related vibrations, are to work to bear a Gliossis interaction, with an initially isotropically stable Hamiltonian Operator, this may often have the general tendency, of working to help facilitate, the formation of a general type of a Wess-Zumino Action. TO BE CONTINUED! SINCERELY, SAMUEL.

Hermitian Radial Wave-Tug -- Gauge-Invariance

 A gauge-invariant Hamiltonian Operator has the general tendency, of working to bear a greater probability, of expressing a hermitian radial wave-tug, than an ulterior Hamiltonian Operator, that is Not gauge-invariant. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Hermitian Transversal Wave-Tug -- Gauge-Invariance

 A gauge-invariant Hamiltonian Operator, has the general tendency of working to bear a more hermitian transversal wave-tug, than an ulterior Hamiltonian Operator, that is Not gauge-invariant. SAM. 

Flat Ricci Curvature -- Hermitian Cohomology

 A given arbitrary Noether-Based mass-bearing Hamiltonian Operator, that is here to be proximal local to the general bearings of a flat Ricci Curvature, is more likely to work to bear a hermitian cohomological mappable-tracing, than an otherwise analogous given arbitrary Noether-Based mass-bearing Hamiltonian Operator, that is here to be proximal local to the general bearings of a sporadic Ricci Curvature. SAM.

Isotropically Stable Second-Order Light-Cone-Gauge Eigenstates, Working To Result In Isotropically Stable First-Order Light-Cone-Gauge Eigenstate

 When a cohesive set of covariant second-order light-cone-gauge eigenstates, are here to vibrate in their propagational mode, in unison, this will often tend to facilitate the general physical attribute, of isotropic stability, from among the inferred constituency of such a cohesive set of eigenstates, to where, this will often, in turn, tend to consequently result, in increasing the general tendency of isotropic stability, in the eminently associated respective first-order light-cone-gauge eigenstate, of which such an earlier inferred set of second-order light-cone-gauge eigenstates, are here to have worked to comprise. This will thereby often tend to work to increase the probability, that the eminently associated discrete quantum of energy, of which is here to be expressing such an inferred tense of a gauged-action, will thus be more likely to be gauge-invariant, as this is here to be taken, over a respectively taken Fourier-Related-Progression. SINCERELY, SAM ROACH, 

Isotropically Stability -- Hermitian First-Order Light-Cone-Gauge Eigenstate

 An isotropically stable superstring of discrete energy permittivity, has a higher probability, of working to be eminently associated, with a hermitian first-order light-cone-gauge eigenstate, than an isotropically unstable superstring of discrete energy permittivity does. TO BE CONTINUED! SINCERELY, SAM. 

Isotropic Stability -- Hermitian Externalized Core-Field-Density

 An isotropically stable superstring of discrete energy permittivity, has a higher probability, of working to express a hermitian externalized core-field-density, than an isotropically unstable superstring of discrete energy permittivity does. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH, 

The More Permeable Of A Field Of Space-Time-Fabric Traveled Through -- Higher Frequency Of Superstring

 The more permeable of a field of pressurized vacuum, (a field of space-time-fabric), that a superstring of discrete energy permittivity is to be traveling through, over time, the higher of a frequency, that such a stated superstring, is thence capable of expressing, as it is here to be propagated, along its particular respective path, through the general medium of such an eluded-to field. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Perturbative Immediately Externalized Field Of A Superstring

 The higher that the frequency of a superstring of discrete energy permittivity is to be, the more perturbative that its immediately externalized field will consequently tend to be. SAM ROACH. 

Impedance Of A Region Of Pressurized Vacuum -- Permeability

 The greater that the impedance is to be, from within the Ward-Cauchy-Related bounds of a particular given arbitrary region in space and time, the lower that its permeability will consequently tend to be. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH.

Resonant Pulsation -- Permittivity

 The greater the resonant pulsation of a Hamiltonian Operator is to be, the greater that its permittivity will consequently tend to be. TO BE CONTINUED! SINCERELY SAMUEL DAVID ROACH. 

Heuristically Dispersed Chern-Simons Invariant-Related Eigenstates -- Entropy

 Heuristically dispersed Chern-Simons Invariant-Related metric-gauge eigenstates, tend to work to form the general tense of an anharmonic output, of which may here tend to facilitate, the formation of entropy. SAM.

Inversely Dispersed Chern-Simons Invariant-Related Metric-Gauge Eigenstates -- Charge

 Inversely dispersed Chern-Simons Invariant-Related metric-gauge eigenstates, tend to form the general tense of a harmonic output, of which may here work to tend to facilitate, the formation of charge. SAMUEL ROACH. 

Hamiltonian Operator -- Orientable Superstrings -- Noether-Flow

 A Hamiltonian Operator that is comprised of orientable superstrings, tends to conform to Noether-Flow. A Hamiltonian Operator that is NOT comprised of orientable superstrings, doesn't tend to conform to Noether Flow. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! 

Steady-State Net Gauged-Action -- Gauge-Invariance

 When the net gauged-action of a Hamiltonian Operator is of a steady-state nature, such a stated Hamiltonian Operator, may thereby often consequently tend to be gauge-invariant. SAM ROACH.

Greater Conical Nature -- Higher Probability Of Gauge-Invariance

 The greater that the conical nature of a quantum of discrete kinetic energy permittivity is to be, the higher that the probability will consequently tend to be, that the respectively stated quantum of discrete energy permittivity, will thereby tend to be gauge-invariant. TO BE CONTINUED! SAM ROACH.

Deeper Kahler-Based Quotient -- Greater Permittivity

 The deeper that the Kahler-Based quotient is to be, for a superstring of discrete kinetic energy, the more permittivity that such a stated superstring, will consequently tend to express. SAMUEL ROACH.

Conical World-Sheets -- Permittivity

 The more conical of a world-sheet, that a superstring of discrete kinetic energy is to generate, the greater the scalar amount of permittivity, that such a superstring will thereby tend to exhibit. SAM.

Incursion Of "Thrust" Upon Pressurized Vacuum

 The higher the spatial dimensionality that a conical world-sheet is to physically express over time, the greater the "thrust" that it will often tend to incur, upon the pressurized vacuum, that such a respectively stated conical world-sheet is to be Gliossis upon. TO BE CONTINUED! SINCERELY, SAM. 

Smooth Ricci Flow -- Gauge-Invariance

 A smooth Ricci Flow may often tend to be associated, with the proximal local presence of harmonic cohomological deformation, of which may often be associated, with the proximal local presence, of gauge-invariant Hamiltonian Operators. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Flat Ricci Curvature -- Gauge-Invariance

 A flat Ricci Curvature often tends to facilitate, the proximal local presence of harmonic cohomological deformation, to where such a tendency, may often tend to facilitate, the proximal local presence of gauge-invariant Hamiltonian Operators. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Harmonic/Anharmonic Cohomological Deformation

 A De Rham cohomological pattern tends to be eminently associated with harmonic cohomological deformation, whereas, a Dolbeault cohomological pattern tends to be eminently associated with anharmonic cohomological deformation. TO BE CONTINUED! SAMUEL DAVID ROACH. 

Gauge-Invariant Hamiltonian Operator -- Harmonic Cohomological Deformation

 A gauge-invariant Hamiltonian Operator, will often tend to be eminently associated with harmonic cohomological deformation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Perturbative Incursion Of Gravity

 The stronger the perturbative incursion of gravity upon a Hamiltonian Operator, the more likely that the correlative spontaneous cohomological deformation will tend to be anharmonic. It thereby consequently follows; The weaker the perturbative incursion of gravity upon a Hamiltonian Operator, the less likely that the correlative spontaneous cohomological deformation will tend to be anharmonic. SAMUEL.

Perturbative Noether-Based Hamiltonian Operator -- Not Gauge-Invariant

 A perturbative Noether-Based Hamiltonian Operator, will have the general tendency, of Not working to express, a net reductional tense of gauge-invariance. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Static Equilibrium -- Gauge-Invariance

 A Hamiltonian Operator that is in static equilibrium, will have the general tendency, of working to express, a net tense of gauge-invariance. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Facilitation Of Creating A Worm-Hole

 A balance between the right interdependent inter-relation, that is to exist, amongst a quickly paced rotational-based recursively smooth Ricci Flow, when in conjunction, with a quickly paced transversal-based recursively smooth Ricci Flow, may, at times, be capable of tending to help facilitate, the creation of a worm-hole. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Isotropically Stable Ripples Along The Rarita Structure

 Isotropically stable ripples along the Rarita Structure, may often tend to act as solitons, as taken in the Ward-Cauchy-Related realm. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Homogeneously Distributed Trajectory Of A Cohomology-Related Projection

 A gauge-invariant Noether-Based Hamiltonian Operator, that is here to work to bear a recursively smooth tense of a cohomology-related deformation, as this is here to be considered, when taken over the durational course of a directly corresponding Fourier-Related-Progression, will thereby tend to be delineated in such a manner, to where such a respectively stated Hamiltonian Operator, will consequently tend to work to bear a homogeneously distributed trajectory, of a cohomology-related projection, over a correlative span of time. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM. 

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. 

Genus Of Field Distribution And Isotropic Stability, 1

 A kinematically delineated diffeomorpnic Hamiltonian Operator, often tends to have a greater tendency of being isotropically stable, than an otherwise analogous Hamiltonian Operator, that instead, is to work to bear a kinematically delineated heterogenous distribution, in its internal component energy quantum, when in terms of the holonomic stratum, that is here to work to comprise the respective internal core-field-density, of the topological manifold, that is here to be related, to such a respectively inferred ulterior Hamiltonian Operator. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Recursively Rippling I*PI(del) Action

 When a spinning Noether-Based mass-bearing Yau-Exact Hamiltonian Operator, is to maintain both a constant rotational velocity and a constant transversal velocity, it (the respective Hamiltonian Operator of such a case scenario), will often tend to work to bear a recursively rippling i*PI(del) Action. SAM. 

Anti Holomorphic Kahler Conditions -- Spontaneously Causing Situation --Hamiltonian Operator, Impelled Out Of Gauge-Invariance

 When an initially gauge-invariant Hamiltonian Operator, is to ensue, in so as to have anti holomorphic Kahler conditions, to end-up being incurred upon it, such a respectively mentioned Hamiltonian Operator, will thereby tend to consequently result, in working to spontaneously bear a perturbation, out of its initially inferred state of gauge-invariance, as this is here to occur, over the durational course of the Fourier-Related-Progression, that is of the relative Lagrangian-Based motion, of which is here to be performed, by the earlier stated Hamiltonian Operator. TO BE CONTINUED! SAMUEL ROACH.

General Tendency Of Working To Express A Resonant Vibration

 A gauge-invariant Yau-Exact Noether-Based Hamiltonian Operator, will often have the general tendency, of working to express its resonant vibration. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Chern-Simons-Related Spurs -- Lack Of Smooth Cohomological Deformation

 When the Lagrangian-Based motion of a Hamiltonian Operator, is to work to bear Chern-Simons-Related spurs, it will spontaneously often tend to consequently lack the reductional attribute, of working to bear the general tense, of a smooth cohomological deformation. SINCERELY, SAMUEL DAVID ROACH.

Smooth Cohomological Deformation

 The Fourier-Related-Progression of gauge-invariant Yau-Exact Noether-Based discrete energy quanta, tends to bear a correlative Ricci Flow, that is here to work to bear a smooth cohomological deformation. SAMUEL ROACH.

Piecewise Continuous Cohomological Generation/Degeneration

 A Yau-Exact Noether-Based Hamiltonian Operator tends to generate/degenerate cohomology, in a piecewise continuous manner. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Resonant Schwinger Vibrations

 The more that a Schwinger vibration is to bear its resonant "pitch," the more impelling of a force that it is to tend to incur, upon whatever respective given arbitrary topological manifold, that it is to come into a Glossis-Based contact with, as such a stated respective Schwinger vibration, is here to be in the general process, of being propagated along the general stratum, of the Rarita Structure. SINCERELY, SAM.

A Prime Example Of A Non Perturbative Calabi-Yau Manifold

 A Noether-Based gauge-invariant Hamiltonian Operator, that is proximal local to the presence of a flat Ricci Curvature, is a general prime example, of a non perturbative Calabi-Yau Manifold. SAM. 

Increased Viscosity Of Space-Time-Fabric -- Facilitation Of Spurious Cohomology

 An increase in the viscosity of space-time-fabric, often tends to facilitate proximal local cohomology, to work to bear a spurious nature. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Decreased Viscosity Of Space-Time-Fabric -- Facilitation Of Cohomology To Be Hermitian

 A decrease in the viscosity of space-time-fabric, often tends to facilitate proximal local cohomology, to work to bear a hermitian nature. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Gauge-Invariant Hamiltonian Operator With A Heuristically Stable Recursive Ricci Flow

 A gauge-invariant Hamiltonian Operator, in the presence of a flat Ricci Curvature, often tends to work to form a heuristically stable recursive Ricci Flow. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Perturbative Light-Cone-Gauge Eigenstates -- Spurious Cohomology

 Perturbative light-cone-gauge eigenstates, tend to be eminently associated with spurious cohomology. 

Gauge-Invariant Hamiltonian Operator -- Hermitian Cohomology

 The cohomology of a gauge-invariant Hamiltonian Operator tends to be hermitian. SAM ROACH. 

Gauge-Invariant Hamiltonian Operators -- Comprised Of By A Homomorphic Set Of Interdependent Superstrings

 Gauge-Invariant Hamiltonian Operators, at times, often tend to be comprised of by a homomorphic set of interdependent superstrings, that are here to work to bear an isotropic tense of group action. SAM.

Adjacent Electrons -- Inverted Homeomorphic Field

 Adjacent Noether-Based electrons, often tend to work to bear a covariant field, that is of an inverted homeomorphic nature. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

De Rham/Dolbeault Cohomology -- Homotopy

 A Noether-Based De Rham cohomological mappable-tracing, tends to have a greater probability, of working to bear a smooth homotopic curvature, than a Noether-Based Dolbeault cohomological mappable-tracing does. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Chern-Simons-Related Spurs -- Unsmooth Homotopic Curvature

 When the cohomological field that is here to be generated, by the Lagrangian-Based motion of the Fourier-Related-Progression, of a given arbitrary kinematically transferred Hamiltonian Operator, is to work to bear Chern-Simons-Related spurs, then it will consequently often tend to be the case, that the homotopic curvature, that is  here to be directly associated with the projected path-related trajectory of the earlier stated Hamiltonian Operator, will thereby tend to resultantly be of an unsmooth nature. SAM.

Isometry -- Heuristically Homeomorphic; Asymmetry -- Inversely Homeomorphic

 Isometrical homotopic curvatures often tend to be heuristically homeomorphic. Whereas; Asymmetrical homotopic curvatures often tend to be inversely homeomorphic. SINCERELY, SAMUEL ROACH.

The Hermitian Cohomological Fourier-Related-Progression Of A Diffeomorphic Hamiltonian Operator -- Smooth Homotopy

 The hermtian cohomological Fourier-Related-Progression of a diffeomorphic Hamiltonian Operator, often tends to work to bear a smooth tense of homotopic translation. TO BE CONTINUED! SAM ROACH.

Isotropically Stable Homeomorphic Hamiltonian Operator -- Smooth Homotopy

 The Fourier-Related-Progression of an isotropically stable homeomorphic Hamiltonian Operator, often tends to work to bear a smooth homotopic attribute of curvature, in the directly associated proximal local field, that it is to generate, over time. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

The Proximal Local Presence Of Magnetism -- Induction Of Homomorphic Field

 The proximal local presence of a relatively enhanced scalar amplitude of magnetism, at times, may often work to induce a physically latent Hamiltonian Operator, to spontaneously become isotropically stable, -- to where it will thereby tend to spontaneously ensue, in so as to work to bear the proximal local presence, of a homomorphic field, -- to where such a stated Hamiltonian Operator, may often tend to consequently ensue, in so as to work to spontaneously exhibit the display, of a tense of group action. SAM ROACH.

Superstrings In Sync -- Homomorphic Field

 When the superstrings of discrete energy permittivity, of which are here to work to comprise a given arbitrary Hamiltonian Operator, are to act in sync, this will often tend to help make the respective stated Hamiltonian Operator isotropically stable -- to where such a said Hamiltonian Operator, will thereby tend to exhibit the display of a group action, -- to where such a stated Hamiltonian Operator will consequently tend to exhibit the display, of a homomorphic field. TO BE CONTINUED! SAMUEL ROACH. (1989).

The General Influence Of A Relatively Strong Tense Of Heuristic Gravity, Upon Homotopy

 The proximal local presence, of a relatively strong heuristic tense of gravitational force, may often tend to inhibit the incursion, of a recursively smooth homotopic field. TO BE CONTINUED!SAM ROACH.

The General Influence Of Anti Gravity Upon Homotopy

The proximal local presence of anti gravity, may often tend to work to facilitate, the incursion, of a recursively smooth homotopic field. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989). 

Hermitian Tense Of Homotopic Translation Of A Gauge-Invariant Mass-Bearing Orbifold Eigenset

 The Fourier-Related-Progression of a gauge-invariant mass-bearing orbifold eigenset, tends to work to bear a hermitian tense of homotopic translation. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Cohesive Set Of Gauge-Invariant Strings -- Smooth Homotopic Translation

 The Fourier-Related-Progression of a cohesive set of gauge-invariant superstrings of discrete energy permittivity, often tends to work to bear a smooth homotopic translation. SINCERELY, SAM ROACH. 

Spurious Homotopic Translation -- Anharmonic Pulsation

 When the  homotopic translation of a spinning Hamiltonian Operator is spurious, it will often tend to work to bear an anharmonic pulsation. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Steady Resonant Pulse

 When the homotopic translation of a spinning Hamiltonian Operator is hermitian, it will often tend to exhibit a steady resonant pulsation. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Yau-Exact Hamiltonian Operator -- Homotopic Field

 The more Yau-Exact that a Hamiltonian Operator tends to be, the stronger that its directly associated homotopic field will consequently tend to be. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Hermitian Homotopy -- Deeper Pulsation Of Majorana-Weyl-Invariant-Mode

 The more hermitian that the homotopy of a net Majorana-Weyl-Invariant-Mode is to be, the deeper of a pulsation that its directly associated Hamiltonian Operator will tend to display. SINCERELY, SAMUEL. 

Hermitian Homotopy Of Net Majorana-Weyl-Invariant-Mode

 The more hermitian that the homotopy of a net Majorana-Weyl-Invariant-Mode is to be, the stronger of a resonant vibration that its directly associated Hamiltonian Operator will therefore tend to exhibit. SAM.

Resonant Vibration Of A Relatively Tightly-Knit Net Majorana-Weyl-Invariant-Mode

 The stronger the resonant vibration of a relatively tightly-knit net Majorana-Weyl-Invariant-Mode is to be, the deeper of a pulse that its directly associated Hamiltonian Operator will tend to display. SAM.

Pulsation Of Net Majorana-Weyl-Invariant-Mode

 As a mass-bearing homotopic field is being generated, its directly associated net Majorana-Weyl-Invariant-Mode, will tend to work to bear a correlatively respective pulsation. SAM ROACH. (1989).

A Strong Harmonic Majorana-Weyl-Invariant-Mode -- Homotopic Stability

 A strong harmonic Majorana-Weyl-Invariant-Mode, is often associated with a strong tendency for homotopic stability. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Cevita Action; Working To Facilitate, An Anharmonic Perturbation Of The Homotopic Translation, Of A Respective Set, Of Light-Cone-Gauge Eigenstates

A Yukawa-Based incursion, of a given arbitrary exemplification of an eigenstate, of the Cevita Action, may often have the capacity, of being able to work to facilitate, an anharmonic perturbation, of the general homotopic translation, that was here to be inherently expressed, by a respective set, of an initially quantized group, of integrable light-cone-gauge eigenstates, of which are here to be considered, as working to help comprise, the discrete energy-related phenomenology, of a given arbitrary beam of electromagnetic energy, that is here to have been eluded-to, as being in the process of ensuing, in so as to have just been spontaneously scattered, by an externally viable Ward-Cauchy-Related source. SINCERELY, SAMUEL ROACH.

The Fourier-Related-Progression Of The Homotopic Translation Of Component Light-Cone-Gauge Eigenstates

 When electromagnetic energy scatters, the Fourier-Related-Progression, of the homotopic translation, of the associated proximal local respective component light-cone-gauge eigenstates, is to tend to work to bear, an anharmonic perturbation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Adjacent Quantized Light-Cone-Gauge Eigenstates -- Homotopic Relationship

 Adjacent quantized light-cone-gauge eigenstates, often tend to bear a homotopic relationship. SAM.

Adjacent Quantized Light-Cone-Gauge Eigenstates

 Adjacent quantized light-cone-gauge eigenstates, often tend to bear a homeomorphic nature in relation to one another. 'TILL NEXT TIME! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Perturbation Out Of Homotopy

 When the isomorphic symmetry of the holonomic metric, of an initially homotopic set of discrete energy, is brought into a perturbative state, this will often tend to incur the general physical condition, to where such a mentioned respective set of discrete energy quanta, is thence to often tend to ensue, in so as to spontaneously be brought out of such a general physical condition of homotopy. SAMUEL ROACH.

Piecewise Continuous Cohomology-Related Deformation -- Homotopic Exemplification

 When the Ricci Flow of a kinematically projected given arbitrary Hamiltonian Operator, works to bear the general tense, of a piecewise continuous cohomology-related deformation, over a respectively considered proscribed duration of time, the mappable-tracing of that Fourier-Related-Progression, of which is here to be directly related to the covariant propagation, that is here to be of such a cohomology-related topological structure, is thence to bear a relatively heightened probability, of consequently tending to exhibit a fairly heuristic exemplification, of a homotopically propagated Stoke's-Based planar curvature-related region. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Stoke's-Based Hermitian Homeomorphic Region-Related Curvature

 The Fourier-Related-Progression of a Stoke's-Based hermitian homeomorphic region-related curvature, of which is here to work to bear a recursively smooth covariant vibrational oscillation, when such an inferred kinematically delineated distribution, of an operational set of cohesively nodal states or integrable "cells," is here to work to bear a Noether-Based symmetry, when in conjunction with its eminent externalized Ward-Cauchy-Related environment, will, more often than not, tend to work to bear the general characteristic, of exhibiting the display, of a net functional homotopic-related eigenstate, as this stated functional homotopic-related eigenstate, is here to quite often tend to behave, as an oscillating planar region, when this is to be considered, at a region which is Poincare, to the vantage-point of the topological surface, of the holonomic substrate, of the earlier stated region-related curvature. SAMUEL ROACH. 

Dolbeault Cohomology -- Heterogeneous Homotopic Flow

 A Hamiltonian Operator, that works to exhibit the display of a Dolbeault cohomology, will often tend to work to exhibit the display, of a heterogenous homotopic topological flow. SINCERELY, SAM ROACH.

De Rham Cohomology -- Homogeneous Homotopic Topological Flow

 A Hamiltonian Operator, that works to exhibit the display of a De Rham cohomology, will often tend to exhibit the display, of a homogenous homotopic topological flow. SINCERELY, SAMUEL ROACH.

Homotopic Curvature -- Slater-Based Relationship -- No Lagrangian-Based Chern-Simons Singularities

 When a homotopic curvature is to work to bear a Slater-Based Relationship, the mappable-tracing, of such a stated homotopic curvature, will often tend to work to bear no Lagrangian-Based Chern-Simons singularities. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Perturbative Ricci Flow -- Homotopic Chern-Simons-Related Spurs

 When the Ricci Flow is perturbative, the directly associated homotopic mappable-tracing, will consequently often tend to work to bear proximal local Chern-Simons-Related spurs. SAM ROACH.

Smooth Ricci Flow -- Hermitian Homotopic Mappable-Tracing

 The smoother the Ricci Flow, the more hermitian the homotopic mappable-tracing will consequently tend to be. The less smooth the Ricci Flow, the less hermitian the homotopic mappable-tracing will consequently tend to be. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Spurious Ricci Flow -- Loosely Bound Conserved Homotopic Residue

 When the Ricci Flow is spurious in its exemplification, the directly associated conserved homotopic residue, that is here to be generated, is consequently to tend to be relatively loosely bound. SAM.

Recursively Smooth Ricci Flow -- Tightly Bound Conserved Homotopic Residue

 When the Ricci Flow is recursively smooth, the directly associated homotopic residue, that is here to be generated, will consequently tend to be relatively tightly bound. SINCERELY, SAMUEL ROACH. 

Recursively Heuristic Homotopic Path

 A holomorphic directed, recursively heuristic, homotopic path, often tends to be tantamount, to a progressively holomorphic, recursively isometric, mappable homotopic region-based path. SAM.

Recursively Inverted Homotopic Path

 A holomorphic directed, recursively inverted, homotopic path, often tends to be tantamount, to a progressively holomorphic, recursively asymmetric, mappable homotopic region-based path. SAM.

The Externalized Topological Structure, Of A Recursively Smooth Homotopic Curvature

 The externalized topological structure, of a recursively smooth homotopic curvature, may often tend to work to exhibit the display, of diffeomorphic characteristics. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

The More Yau-Exact That A Hamiltonian Operator Expresses Itself As

 The more Yau-Exact that a Noether-Based Hamiltonian Operator expresses itself as, the greater the tendency, that its directly associated generated homotopic residue, will spontaneously become  homogeneously distributed, in a piecewise continuous manner, over an ensuing duration of viable relativistic time. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL.

Homogeneous Distribution Of Homotopy

Noether-Based homotopy often tends to be homogeneous in its correlative distribution, when that Hamiltonian Operator, of which is here to be working to express the stated given arbitrary homotopy, is Slater in its directional translation. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989).

The Underlying Sub-Tension Of The Ricci Flow

 When the underlying sub-tension of the of the Ricci Flow is supplemental in its projection, the Ricci Flow may be said to be smooth, to where the directly associated Ricci Curvature may then be said to be flat. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH. 

The Ricci Flow, "In A Nutshell"

 Here is the brief development of a synapsis, as to what I perceive the Ricci Flow to be. Please bear with me:

A Hamiltonian Operator -- as the "Thing" of energy -- is to be tugged through space, via its Lagrangian (to where, such a stated "Lagrangian," is the "Motion" of such a respective tense of energy). As the Hamiltonian Operator is tugged through its Lagrangian, over time, its eminent core-field-density, is to interact with its immediately externalized field, to where such an inferred tense of an interaction, works to form the general phenomenology of "cohomology." The interaction of such cohomology, with the respective proximal  local gravitational force, (the interaction of the said cohomology, with that gravity, which is at the kinematically progressive kinetic locus, of which the said cohomology is here to be propagating through), works to form a flow, of which may be described of here, as being the "Ricci Flow." SAM.

Perturbative Gravitational Forces Counterbalancing -- Yau-Exact Conditions

 When perturbative gravitational forces counterbalance each other, this tends to work to allow for Yau-Exact conditions, of which works to allow for those correlative Noether-Based Hamiltonian Operators, that are here to be proximal local to the presence of such an inferred non-perturbative gravitational field, to tend to be of a Calabi-Yau nature. Hamiltonian Operators that work to exhibit a Calabi-Yau nature, may be said to display the general tense, of a Calabi-Yau Manifold. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.(PHS1989).

When Perturbative Gravitational Forces Counterbalance Each Other

 When perturbative gravitational forces counterbalance each other, this tends to work to allow for a flat Ricci Curvature, of which tends to work to allow for a smooth Ricci Flow. SAMUEL ROACH. 

Gravitational Warp -- Perturbative Ricci Flow

 When a Ward-Cauchy-Related cohomology-based topological structure, that is here to be proximal local, to the core-field-density, of a directly corresponding kinematically propagated Hamiltonian Operator in time and space, is thence to be spatially transferred through a region in space and time, in which the gravitational force is here to be of a warped nature, this general characteristic, will thereby tend to spontaneously work, to induce the consequential physical attribute, to where the earlier stated Hamiltonian Operator, will thereupon tend to work to exhibit a perturbative Ricci Flow, from within the Ward-Neumann bounds, of such an earlier inferred region of gravitational warping. TO BE CONTINUED! SAMUEL ROACH. 

Diffeomorphic Field Incurred Upon By A Cevita Action

 When a diffeomorphic field is incurred upon by a Cevita Action, this may often have the capability, of tending to be able to alter the said diffeomorphic field, into a heteromorphic field. SAM ROACH.

Heteromorphic Field Incurred Upon By A Wess-Zumino Action

 When a heteromorphic field is incurred upon by a Wess-Zumino Action, this may often have the capability, of tending to alter the said heteromorphic field, into a diffeomorphic field. SAM ROACH.

A Homogeneous/Heterogeneous Kinetic Disturbance Of Space

 A homogeneous kinetic disturbance of space-time-fabric, has the general tendency, of working to form, a harmonic tense of energy. Whereas; A heterogeneous kinetic disturbance of space-time-fabric, has the general tendency, of working to form, an anharmonic tense of energy. TO BE CONTINUED! SAM. 

Abrupt Alteration In The Viscosity Of Space-Time-Fabric Traveled Through

 When there is to be an abrupt alteration, in the viscosity of space-time-fabric, of which a given arbitrary Hamiltonian Operator is here to be traveling through, this will often tend to spontaneously work to cause, the consequential formation, of a set of one or more Lagrangian-Based Chern-Simons singularities.

Perturbative Alteration In Field Intensity -- Lagrangian-Based Chern-Simons Singularities

 When there is to be a perturbative alteration in the field intensity, that is here to be incurred upon the Lagrangian-Based motion, of a given arbitrary Hamiltonian Operator, this will often tend to spontaneously work to cause, the consequential formation, of a set of one or more Lagrangian-Based Chern-Simons singularities. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Spurious Dimensional Gauging -- Metric-Related Chern-Simons Singularities

 When the dimensional gauging of a Hamiltonian Operator becomes spurious, it will spontaneously tend to consequentially work to bear a correlative set of metric-related Chern-Simons singularities. SAM.

Spurious Dimensional Gauging

 When the dimensional gauging of a Hamiltonian Operator becomes spurious, its pulsation will tend to become spurious. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

A Vibrating Hamiltonian Operator, That Works To Express A Recursively Smooth Ricci Flow

 A vibrating Hamiltonian Operator, that works to express a recursively smooth Ricci Flow, often tends to work to exhibit the general characteristics, of a Majorana-Weyl-Invariant Spinor. SAM ROACH. 

Spinning Yau-Exact Gauge-Invariant Superstrings

 Spinning Yau-Exact gauge-invariant Noether-Based mass-bearing superstrings of discrete energy permittivity, tend to work to bear a recursively smooth Ricci Flow. SINCERELY, SAM ROACH.

Yau-Exact Gauge-Invariant Superstrings Of Discrete Energy Permittivity

 Yau-Exact gauge-invariant Noether-Based mass-bearing superstrings of discrete energy permittivity, tend to work to express a De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Gauge-Invariant Hamiltonian Operator -- No Anti Holomorphic Kahler Conditions Exhibited

 A gauge-invariant Hamiltonian Operator, does not tend to exhibit the display of any anti holomorphic Kahler conditions. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989). 

Recursively Recurrent Tense Of Anti Holomorphic Kahler Conditions

 When a given arbitrary Hamiltonian Operator, is "stuck" within an infinite well of energy, it will often tend to work to exhibit, a recursively recurrent tense, of anti holomorphic Kahler conditions. SAM.

Harmonic Isotropically Stable Lagrangian -- No Lagrangian-Based Chern-Simons Singularities

 A given arbitrary mass-bearing Noether-Based Hamiltonian Operator, that is in the process of working to bear a harmonic isotropically stable Lagrangian, often tends to work to bear no proximal local Lagrangian-Based Chern-Simons singularities. SAM ROACH.

Isotropically Stable Anharmonic Vibrating Hamiltonian Operator -- Chern-Simons-Related Spur In Its Correlative Motion

 When a given arbitrary isotropically stable Noether-based mass-bearing Hamiltonian Operator, is to vibrate in an anharmonic manner, over time, such a mentioned Hamiltonian Operator, will often tend to have a greater tendency, of working to bear one or more Chern-Simons-Related spurs, in the projected path of its correlative Lagrangian-Based motion, than an otherwise analogous anharmonic vibrating Noether-Based mass-bearing Hamiltonian Operator, that is not isotropically stable. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.