Showing posts with label Lagrangian. Show all posts
Showing posts with label Lagrangian. Show all posts

Sunday, August 2, 2026

Gauge-Invariant Flow

 Changes in space time viscosity, may often tend to help cause the necessitation, of the consequential resulting re-calibration of the gauge-invariance, that the eminently associated, kinematically propagated, Hamiltonian Topological Manifold, is to be expressing, as it is traveling through such an implicitly altered region, of space and time. 

Changes in space time viscosity, may often tend to necessitate, the spontaneous facilitation, of the exhibition, of the eminently corroborative, Lagrangian-Based Chern-Simons Singularities, to thenceforth be viably present. 

When a given arbitrary Hamiltonian Topological Manifold, is to temporarily lose its initially eminent Kahler-Based attribute, this particular type of a situation, will often tend to be eminently corroborative, with the spontaneously existent presence, of a metric-based, Chern-Simons Singularity. 

When the frequency of the pulsation, of an eminently associated Hamiltonian Topological Manifold, is to alter in its general venue, this may often tend to be eminently corroborative, with the general presence, of a metric-gauge, Chern-Simons Singularity. 

The light-cone-gauge allows for the restraint of phenomenology. Without restraint, there is no order. Without order, physical reality is undone. This is part of why the light-cone-gauge is So Important!!! Later Dude!

The physical incursion of harmonic sound, may often tend to enhance the fortitude, of the eminently corroborative, compact condition, of a directly associated, Kahler Hamiltonian Topological Manifold. 

The physical incursion of anharmonic sound, may often tend to debilitate, the eminently corroborative, compact condition, of a directly associated, initially Kahler, Hamiltonian Topological Manifold. 

A hermitian set of kinematically propagated sound eigenstates, tend to be harmonic. A spurious set of kinematically propagated sound eigenstates, tend to be anharmonic. 

Homomorphically operating sets, of kinematically propagated sound eigenstates, tend to be isotropically stable, thereby spontaneously being hermitian in behavior. Heteromorphic operating sets, of kinematically propagated sound eigenstates, tend to be isotropically unstable, thereby spontaneously tending to be spurious in behavior. 

Isotropically stable Hamiltonian Topological Manifolds, have a greater tendency of being gauge-invariant, than otherwise analogous Hamiltonian Topological Manifolds, that instead, are isotropically unstable. 

An isotropically stable Hamiltonian Topological Manifold, that is here to be kinematically propagated, through a homogeneous distributional delineation of space time fabric, will often tend to bear a gauge-invariant flow. 

A De Rham Hamiltonian Topological Manifold, is more likely to be gauge-invariant, than an otherwise analogous Hamiltonian Topological Manifold, that instead, is Dolbeault. 

A cohomology-related Lagrangian-Based Path, of a Kahler Hamiltonian Topological Manifold, of which is free from exhibiting any viable Chern-Simons-Related spurs, will often tend to be eminently corroborative, with an implicit team of mass-bearing energy eigenstates, that is here to have a strong expectation value, of being gauge-invariant. 

The more flush that the sub string related pseudo exertion, of a given arbitrary particular gauge-action, is to be orchestrated as, while it is here to be spontaneously incurred, at the implicit Ward-Cauchy-Based level, the more likely, that the potentially ensuing gauge-invariance, that may often tend to be subsequently enacted, will have the general tendency, of spontaneously being hermitian. 

The less resistance that is to be imparted, upon the sub Stringular restraints of that net gauge-action, of which is to facilitate carrying out the discrete energy impedance, of an eminently corroborative Kahler Hamiltonian Topological Manifold, the more likely that its spontaneously ensuing potential gauge-invariant behavior, will flow as hermitian.

 The flow of Hermitian gauge-invariance, often tends to bear Riemannian characteristics. Whereas; the flow of Spurious gauge-invariance, often tends to bear Rayleigh-Like characteristics. Later, Dudes!!! 

The Fourier-Related-Progression, of a kinematically propagated, Hamiltonian Topological Manifold, that is consistently restrained in the same way, over a definitive period of time, may be considered to often tend to be said as exhibiting, a viable tense, of gauge-invariant flow. 

Thought tends to be delineated in flow, in the direction of least time. Whereas; Gravity tends to be delineated in flow, in the direction of least distance. 

Thought waves that happen to be delineated, in the form of soliton-like frequencies, tend to bear a gauge-invariant flow.

Metrically compact gravitational waves, that are delineated in a hermitian-related manner, tend to be gauge-invariant. 

When the Fourier-Related-Progression, of a kinematically propagated Hamiltonian Topological Manifold, is to be viably resolute, in its hereupon recursively stable tense, of isotropic motion, that it will consequently often tend to incur, that such implicitly involved motion, is to spontaneously work to bear, a tense of gauge-invariant flow. 

Saturday, June 6, 2026

Other Ideas 4

 When the Lagrangian-Based motion, of a kinematically propagated mass-bearing Hamiltonian Topological Manifold, is to spontaneously become relatively chaotic, those infrared photons, that are proximal local to the adjutant field, that is of the implicit team of cohesive mass-bearing discrete energy, will consequently tend to become spontaneously more kinetic in their physical exemplification, in so as to enhance the local energy of heat transfer, to where this will consequently, as well, also tend to spontaneously increase the local scalar entropy. 

The incursion of an applicably hermitian physical charge, may often tend to spontaneously result, in the consequential occurrence, of a resonant humming physical attribute of sound. Whereas; The incursion of an applicably spurious physical charge, may often tend to spontaneously result, in the consequential occurrence, of a perturbative tense of dissonant sound. 

In general, all super string related phenomenology, works to bear a viable tense of interconnection, as particularly due to the presence and function, of the Rarita Structure. Magnetism is incurred upon its physical environment, by the behavior of the multiplicity, of chiral-based charges. The multiplicity of the physical effects, that are here to tend to be due, to the potential helicity of the general twining, and/or the general inverse twining, of which the viably present, basically endless sum of similar and opposite magnetic charges, are thence to induce upon each other, is the reductional basic general tendency, that works to facilitate, the “all pervading” physical effects, of the likings, of what is here to generally be called, the reductional phenomenology, of what’s said to be, the “magnetic field.”

Infrared photons may be said, to be spontaneously working to be exhibiting, an enhanced tense of kinetic disposition, when the flow of their vibration-like pulsation, is to become anharmonic, in covariant conjunction, with the implicitly increased anharmonic flow, of vibration-like pulsation, of which the ulterior proximal adjutant infrared photons, are here to be commencing to spontaneously express as such. 

The more disorganized that a local tense of infrared photons is to be, when this is to be considered, as effectual upon a common molarity of mass, and, at a set thermodynamically considered temperature, the more kinetic that the implicit energy of heat transport is to thereupon be, to where, when everything that is eminently corroborative to the reductional likings of such a physical situation, is otherwise analogous, that it will generally tend to hold, that the eminently associated entropy,  will therefore tend to spontaneously increase. 

Infrared photons tend to be the predominant form of electromagnetic energy that scatters, in the process of working to facilitate the generation of physically characterized entropy. This is primarily tantamount to the general account, that the vibrations due to the wavelengths of infrared electromagnetic energy, are here to tend to be eminently corroborative, to the applicable scale of oscillation-based physical spatial translation, of which reductional anharmonic molecular vibrations, are to viably be reactively in metaphorical cahoots with, in the general process of being able to concordantly and or discordantly have the capacity, of interacting as relatively optimal substrate-like interdependent entities, thus operating to pose a similar but different physical venue, in the general process of working to produce a directed scalar attribute of entropy. 

When the i*PI(Del)Action is to couple with angular momentum, this often tends to reverse fractal, into helping to facilitate the anharmonic vibration of molecules, while in an eminently corroborative tense of manner, such an implicit general genus of coupling, will often tend to help facilitate, the enhancement of local infrared scattering, of which will often tend to increase the scalar magnitude of the respective local entropy. 

An Abelian gauge-action, often tends to facilitate motion, that is here, in this particular general case, to more than likely to be incurred, in the direction of least distance. Whereas; A Non Abelian gauge-action, often tends to facilitate motion, that is here, in this particular general case, to more than likely be incurred, in the direction of least time. 

Abelian discrete energy impedance eigenstates, tend to be more spatially efficient, than if, instead, these were to bear a Non Abelian tense, of discrete energy impedance. Whereas; Non Abelian discrete energy impedance eigenstates, tend to be more efficient in the duration of their motion, than if, instead, these were to bear an Abelian tense, of discrete energy impedance. 



Wednesday, April 8, 2026

Things

 To explain something I’ve said before, in kind of an oversimplified manner, as put in layman terms, when motion in static equilibrium, interacts with thought frequency, as taken over a duration of time, this will often tend to form, what people would generally term of, as being “things.” By “things,” I mean Mass-Bearing Stuff! Furthermore; By the way, such an interaction, in order to be able to do this, let alone to be able to do this effectively, needs to be done, in a hermitian manner. 

When a phenomenon interacts with inverse thought, in a hermitian manner, this may often tend to work to form a tense, of a metric-gauge incursion. When a phenomenon interacts with inverse frequency, in a hermitian manner, this may often tend to work to form a tense, of a heuristic-gauge incursion. Furthermore; When a phenomenon interacts with inverse thought frequency, in a hermitian manner, this may often tend to work to form a tense, of a heuristic-metric-gauge incursion. So: When motion in static equilibrium, is imparted upon, via a direct coupling, in a hermitian manner, via a heuristic-metric-gauge incursion, as taken over a duration of time, this may often tend to work to  form, what people would generally term of, as being "things." -- in terms of mass-bearing stuff. To give one a clue, as to what I mean by "hermitian," in this particular case, is a flush, naturally smooth interaction, with no spurious nor superfluous motion. 

The incursion of inverse-thought-related gauge-action, may often tend to spontaneously result, in a pressure-associated Lagrangian-Based Drive. Furthermore; The incursion of inverse-frequency-related gauge-action, may often tend to spontaneously result, in a puncture-associated Lagrangian-Based Drive.

When a Kahler Hamiltonian Topological Manifold, is to become spontaneously charged physically, it will often tend to acquire, an attribute of heuristic-gauge eminence. 

When a recalibrated Chern-Simons Invariant gauge-action, is harmonically incurred, it will generally tend to be a particular type of a case scenario, in which the eminently corroborative i*PI(Del) Action, will hereupon spontaneously couple, with the eminently associated, covariant proximal local, co-tangentially flowing kinetic frequency, in so as to form a tense of electrodynamic frequency, of which is tantamount, to physical charge. 

Electrodynamic frequency, is a particular case of physical frequency, in which there is here to be an equipoise, between its expressive magnetic field, &, its expressive electric field, — between its discrete energy impedance, &, its discrete energy permittivity, —Or; — between its physical Ward-Cauchy-Related restraint, &, its physical Ward-Cauchy-Related inhibition. 

What I meant here, by kinetic frequency, in this particular given case scenario, is the angular flow of incoming Lagrangian-Based motion, that is here to directly interact, with the respective Chern-Simons Invariant gauge-action. This is here to occur this way, when the stated respective gauge-action is re-calibrated. Such gauge-actions, of this particular insinuated genre of phenomenology, are said to be re-calibrated, when the speed and/or the direction, of the eminently corroborative Hamiltonian Topological Manifold of such a given arbitrary case scenario, is to viably alter at all, relative to the motion and existence of electromagnetic energy. 

The proximal local spontaneous operational presence of the i*PI(Del)Action, is always going to tend to occur, when the eminently corroborative Chern-Simons Invariant gauge-actions, are also, as well, to be in the general process of being spontaneously re-calibrated, and vice versa. 

A Mass-Bearing perturbation into kinetic energy, often tends to be eminently associated, with what may be a particular genus, of a Rayleigh-Based Scattering. Whereas; A Kinetic-Bearing perturbation back into mass, often tends to be eminently associated, with what may be a particular genus, of a Riemann-Based Scattering. A Rayleigh-Based Scattering, often tends to be associated, with a Cevita type of action. Whereas; A Riemann-Based Scattering, often tends to be associated, with a Wess-Zumino type of action.

 The direction of motion, that a given arbitrary Ward-Cauchy-Related Hamiltonian Topological Manifold, is to have a probable tendency of being propagated through, is generally considered, to be the relative holomorphic direction, of the particular respective given arbitrary case scenario insinuated of here. Equal and opposite to the direction of motion of a given arbitrary Ward-Cauchy-Related Hamiltonian Topological Manifold, is the anti-holomorphic direction. The holomorphic direction, is in the relative i direction. The equal and opposite direction to the holomorphic direction, or, in other words, the anti-holomorphic direction, is in the relative -i direction.  The multiplicity of the Lagrangian, is the multiplicity of the motion of energy. The multiplicity of the Hamiltonian, is the multiplicity of the thing of energy. The Hamiltonian, is the system of a given arbitrary case scenario of energy. Its respective Lagrangian, is the respective motion, of which the eminently corroborative Hamiltonian, is to undergo, as it is transmitted through time and space. When one is to couple the thing of energy, with the direction that such a Hamiltonian is to be traveling through, one will spontaneously resultantly get the motion of that Hamiltonian of energy. Whereas; When one is to couple the motion of energy, with the reversal of the direction that the energy is to be propagated through, one is to get the thing of energy. 

I WILL CONTINUE WITH THE SUSPENSE LATER! IF YOU WANT ME TO EXPLAIN SOMETHING I HAVE CONVEYED, IN MORE UNDERSTANTABLE WORDS, JUST ASK!!!

SAMUEL DAVID ROACH, PINCKNEY MICHIGAN, U OF M, EMU, AND WCC!!!

THIS BLOG, IN PART, IS IN COMMEMORATION TO THE FAMILY OF MANKIND, INCLUDING MY YOUNGEST RELATIVE, KINSLEY! 

Phenomenology, in the general multiplicity of description-related venue, is space-time fabric. Metric-Gauge-Based gauge-action, tends to bear a metaphorical grip of wave-tug, that is physically applied, upon the space-based component of space-time fabric. Whereas; Heuristic-Gauge-Based gauge-action, tends to bear a metaphorical grip of wave-tug, that is physically applied, upon the time component of space-time fabric. 

Unitary pulse coupled with frequency, tends to often facilitate the spontaneous formation of space. Whereas; Unitary pulse coupled with thought, tends to often facilitate the spontaneous formation of time. 

Thought may be thought of, as inverted space. Frequency may be thought of, as inverted time. Space-time-fabric may be thought of, as being the inversion of thought frequency. 

The Fourier-Related-Progression may be thought of, as being the dividend, between a tense of space-time-fabric and energy. Whereas; The Majorana-Weyl-Invariant-Mode may be thought of, as being the dividend, between a tense of energy and space time fabric. The more inextricably “rooted” that the space time fabric is to be, of which a tense of steady state energy is to be projected through, the stronger that its eminently corroborative Majorana-Weyl Invariant-Mode will often tend to be, since it will consequently tend to spontaneously work to bear, a deeper Kahler-Based Quotient. Furthermore; The more profound that the energy is to be, that is to be projected through a particular medium of space and time, the deeper that its eminently corroborative Fourier-Related-Progression, will consequently tend to spontaneously work to bear, since energy inevitably involves waves, to where a profound tense of wave-like motion, will inextricably tend to involve a profound recursively mappable delineation of wave-based projected trajectory. The Higgs Action “Agenda,”: Couple Space-Time Disturbance with Space Time Fabric, as taken over a duration of time, in so as to facilitate the generation of mass-bearing phenomenology. 

Couple the Lagrangian of space time energy with inverse frequency, to form strings. Stringular manifestation over time, is the motion of such strings. 

Higgs Boson eigenstates are to the generation of mass-bearing entities, like what the multiplicity of the Golgi Apparatus is to the formation of proteins. 

Neutrinos are to the forces of nature, like what genetic material is to biological traits. 

Gauge-Bosons are to the forces of nature, like what ions can be to adherent molecules. 

The physical interaction, between the Lagrangian of a Ward-Cauchy-Related Hamiltonian Topological Manifold, &, its  immediately externalized physical environment, often tends to facilitate the formation of (co)homology. 

A Ward-Cauchy-Related mass-bearing phenomenon, that works to exhibit, an ordered externalized vibrational frequency, will consequently often tend to spontaneously exhibit, a De Rham Fourier-Related-Progression. Whereas; A Ward-Cauchy-Related mass-bearing phenomenon, that works to exhibit, an unordered externalized vibrational frequency, will consequently often tend to spontaneously exhibit, a Dolbeault Fourier-Related-Progression. 

When a Kahler Hamiltonian Topological Manifold, is to change in its speed, relative to light, it will spontaneously tend to alter in the layout, of the directly associated piecewise continuity, of its eminently corroborative contortion-based symmetry. Furthermore; When a Kahler Hamiltonian Topological Manifold, is to change in its direction, relative to light, it will spontaneously tend to alter in the delineation of the shape, of its eminently corroborative contortion-based symmetry.

The flatter the Ricci Curvature, the more minimized the Gravitational Topological Invariance. Thereupon; Yau-Exact phenomena, tend to spontaneously work to bear an enhanced facilitation, of potentially being more likely to viably exhibit a minimized tense of Gravitational Topological Invariance, than otherwise analogous phenomenology, that instead, are not Yau-Exact by nature. 


Wednesday, April 26, 2023

Dell Pezzo Spaces And Cohomology-Related Eigenstates/Eigenindices

 The holonomy of cohomology-related Dell Pezzo Spaces, is eminently related, to the concept of cohomology-based eigenstates. Whereas; The time-related Lagrangian-Based flow of cohomology-related Dell Pezzo Spaces, is eminently related, to the concept of cohomology-based eigenindices. SAM. 

Additionally; Cohomology-related eigenstates, may be thought of, as being discrete quanta, of cohomology-related holonomy. Whereas; Cohomology-related eigenindices, may be thought of, as being discrete quanta, of cohomology-related action.  

Also; The more rapidly that a given arbitrary Noether-Based mass-bearing Hamiltonian Operator accelerates, the more distortion-related perturbation, that the eminently associated cohomology, will often tend to work to express.  

Also as well; When the general gauged topological characteristics, that are eminently in corroboration with the Lagrangian-Based flow, of the the holonomic distortional residue, that is here to be expressed, by the corroborative motion of a Noether-Based Hamiltonian Operator, is hereby to recursively go back-and-forth, from working to exhibit a De Rham cohomology, to working to exhibit a Dolbeault cohomology, to working to exhibit a De Rham cohomology, and so forth, this just eluded-to general process, may often at times, work to add a certain degree or manner, of a set of one or more torsional-related tensors, as this is here to become consequently physically applied, as taken upon the general operand of spatial stratum, of which such an earlier stated Hamiltonian Operator, is here to be traveling through, as taken over a proscribed duration of time.  

Additionally; If one were to be able to perceive a cohomology-based topological manifold, from a “moderate” distance, it may potentially appear to have a very smooth external surface. Yet; If one were to then zoom-in upon a potentially close-up observation of such a cohomology-based topological manifold, at an internal reference-frame, that is here to be eminently PoincarĂ© to the immediate external surface of such a cohomology-related structure, one would then tend to potentially observe certain anti canonical structural aberrations, due to the eminently corroborative knotting of Ward-Cauchy-Based norm-state projections, that are here to tend to be proximal local, to the multiplicity of the general region, of such an external outer boundary, of such a respective cohomology-based surface. Such a general type of a surface, will, though, often tend to appear smooth, at a furthered distance, on account of the latent barrage of mini-string-related segmentation, that will tend to be eminently present, proximal local, to the general field, that is here to be latent, to the general region, that is localized, adjutant to the earlier mentioned external surface, of such a cohomology-based topological manifold.

The multiplicity of the centralized knotting of a kinematically delineated Dell Pezzo Space, may often tend to simulate the likings of a microcosmic Hess Field.

A Kahler Manifold that is proximal local to an anti gravitational field, will tend to exhibit less lag, when it changes in the direction of its momentum, than an otherwise analogous Kahler Manifold, that is, instead, doing such, when it is proximal local to a heuristic gravitational field.  

A relatively diffeomorphic macroscopic Hamiltonian Operator, that acts as a Kahler Manifold, that primarily functions as a heuristic dimensionally compact field operator, may often tend to work to bear, the likes, of a conically directed tense of angular momentum; Whereas, — A relatively diffeomorphic macroscopic Hamiltonian Operator, that acts as a Kahler Manifold, that primarily functions as an inverse dimensionally compact field operator, may often tend to work to bear, the likes, of a toroidally-related vantage, of a kinematically directed tense of angular momentum.  Yet; A relatively diffeomorphic macroscopic Hamiltonian Operator, that acts as a Kahler Manifold, that mutually functions, as both a heuristic dimensionally compact, And, an inverse dimensionally compact field operator (via behaving here, as a dual-state-like Hamiltonian Operator), may often tend to work to bear, the general physical characteristics, of both a conically And a toroidally-related vantage, of of such an inferred condition, of a directly associated kinematic state, of a tense of angular momentum.  

Since a heuristic Kahler Manifold, tends to work to bear the physical characteristics, of a hermitian metric, the respective eminently associated cohomology-related eigenstates, of such an inferred tense of a directly affiliated Hamiltonian Operator, will consequently tend to be smoothly interwoven, in such a general type of a case, in a manner, that is relatively piecewise continuous.  

Kahler Manifolds, that are spontaneously spatially transferred, in a smooth manner, over the course of time, often tend to work to generate, eminently harmonic Chern-Simons Invariant gauge-actions.  

The motion of a Kahler Manifold, that is proximal local to an anti gravitational field, that also works to express a Kirchhoff-Related geometry, may often tend to be less inhibited in its freedom of motion, than the motion of an otherwise analogous Kahler Manifold, of which is also proximal local to an anti gravitational field, in which such an ulterior genus of motion of a Kahler Manifold, is instead, to be working to express a symplectic-related geometry.  

When a relatively slow moving metrically gauged Kahler Hamiltonian Operator, is to work to spontaneously bear a relatively deep resonant vibration, then, its eminently associated corroborative heuristic pulsation, will often tend to bear a strongly hermitian inertial resolution, and, in so long as the spatial translation of its spontaneous Lagrangian-Based Progression, is smoothly delineated, over a proscribed duration of time, then its eminently corroborative inertial succinctness, will therefore also often tend to bear the general characteristic, of being of a hermitian nature, as well.  

The more fractal-wise succinct, that the inter-connective (anti-canonical) del pezzo spaces are to be, when taken in a Gliossis-based manner, to the Poincare level, that is here to be situated, in a Laplacian-Based manner, at the internal reference-frame, to the latent proximal local “intermingling,” of inherently delineated, interdependent, individually taken cohomology-related eigenstates, the more likely, that the particular implicitly involved compact Hamiltonian Operator, of which is here to be exhibiting, such an eluded to panoply of del pezzo spaces, will at least thereby often tend to spontaneously exhibit, a tense of smoothly delineated externalized Riemann Gaussian topological stratum, that will therefore often tend to be more capable, of at least resembling, the general physical attribute, of a diffeomorphic (Kahler) Hamiltonian Operator. 

When the cohomology-related structure, that is here to be eminently associated, with a given arbitrary compact Hamiltonian Operator, is to involve Del Pezzo Spaces, that are overtly anti-canonical, (and thereby NOT fractal-wise succinct), when taken at a level, that is Poincare to the Gliosis-Based surface, of the topological manifold, of the net cohomology-related eigenstate, that is here to be directly associated with the holonomic entity, of the earlier mentioned compact Hamiltonian Operator; It will therefore consequently tend to occur, that such an implicit "team" of discrete energy quanta, will spontaneously result, in being basically devoid, of any viably associated geometric physical attributes, that would otherwise be characteristic, to the general implicit Laplacian-Related behavior, of the Kahler-Metric.  

A smoothly generated tense, of a cohesive set of recursively recalibrated Chern-Simons Invariant gauge-actions, may often tend to be eminently associated, with a viably covariant state of hermitian charge, over time. 

The physical incursion of anti gravitational force, upon the holonomic substrate, of a given arbitrary, kinematically propagated, Kahler Hamiltonian Topological Manifold, may often tend to enhance the elastic modulus, of the eminently corroborative symplectic (co)homology, of which such an implicit team of physically transmitted discrete energy, is here to be exhibiting as it is transferred.

When the Legendre (co)homology, that is eminently corroborative with the Noether kinetic transfer, of a given arbitrary kinematically propagated, mass-bearing Kahler Hamiltonian Topological Manifold, is to be viably exhibited, as working to display a relatively enhanced tense, of a succinct genus of Fourier-Related-Progression, as it is transmitted via a hermitian Lagrangian-Based Expansion, it will thereupon consequently tend to come into a spontaneous course of a covariant effect, that this general type of a Ward-Cauchy-Related situation, may often tend to equivocally facilitate, when in terms of its physical impartation upon the implicit "team" of mass-bearing energy eigenstates, as a net eigenstate of a mutually complex and compact stately organization of monomial topological entity, the spontaneous consequential incursion, of working to express a relatively resolute tense of attributable metric-gauge inertial-based motion, as the stated Kahler Hamiltonian Topological Manifold, although it is here to be superconformal invariant at an internal -reference-frame, it's immediately externalized propagation is tangentially covariant.  

Extremal Metric bearing, kinematically propagated, Kahler Hamiltonian Topological Manifolds, tend to exhibit a stronger elastic modulus, than otherwise analogous, respectively Kahler-Metric bearing, kinematically propagated, Hamiltonian Topological Manifolds, that instead, do not exhibit the general characterization, of working to express the reductional nature, of what I have termed of, as eminently corroborative, to acting as Extremal Metrics. 

A given arbitrary kinematically propagated, Kahler Hamiltonian Topological Manifold, that works to spontaneously exhibit, both a strong heuristically gauged pulsation, And, a strong metrically gauged pulsation, may often tend to spontaneously work, to also work to exhibit, both a strong tense of electromotive permeability, And, a strong tense of electromotive permittivity, to where such an implicit team of cohesive discrete energy quanta, will thereby often tend to work to exhibit, a relatively strong tense, of an eminently corroborative, covariant flow of structural integrity, as it is spatially tugged along.    


  



Monday, April 24, 2023

Hermitian Lagrangian-Based Flow

 A cohesive set of cohomology-related Dell Pezzo Spaces, that work to bear an eminently related hermitian Lagrangian-Based flow, over time, will often tend to lack the presence, of Chern-Simons Lagrangian-Based spurs. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.(1989).

As An Aside:

The Fourier-Related-Progression, is heuristically equal to (-i)* The Fourier-Related-Permeation. 

The Fourier-Related Progression, is heuristically equal to i*(The Del of the Fourier-Related Permeation).  

Also; A De Rham cohomology, often tends to express a greater tense of a fractal modulus, than a Dolbealt cohomology works to exhibit, and, a Dolbeault cohomology, often tends to express a greater tense of an elastic modulus, than a De Rham cohomology works to exhibit.

As well; A hermitian spatially propagated Kahler Manifold, often tends to express a De Rham cohomology.  

Superstring-Related Permittivity tends to be more facilitated in its propagation, when proximal local to a tense of anti gravity, than when it is proximal local to a tense of heuristic gravity.  

A diffeomorphic Hamiltonian Operator, that works to bear the Fourier-Related-Progression,  of a cohomology-based construct, that works to bear a Khovanov geometry, in which the said Hamiltonian Operator, is here to be proximal local, to a Ricci-Flat gravitational field, may often work to involve a general case scenario, in which such a stated Hamiltonian Operator, may therefore often tend here, to work to exhibit a relatively strong tense, of the Kahler-Metric.  

A given arbitrary Hamiltonian Operator, may often tend to work to bear a lack of eminently externalized topological spurs, when such a stated Hamiltonian Operator, is proximal local to a Ward-Cauchy-Related field, in which the effective wave-tug, that is physically applied upon the said Hamiltonian Operator, is here to be smoothly distributed, with a harmonic delineation. This may often tend to be the case, when the respective proximal local incurred gravitational force, that is here to be physically applied upon the stated Hamiltonian Operator, is to be smoothly distributed, with a harmonic delineation.  

A mass-bearing Hamiltonian Operator, that works to exhibit a Khovanov geometry, may often tend to work to express certain physical characteristics, that are eminently akin, to those general behavioral characteristics, that are generally heuristically associated, most eminently, with the general physical behavioral characteristics, of a “team “ of cohesive kinetic energy eigenstates.  

The conformal mappable twining, of the cohomology-based webbing, of a Noether-Based Calabi-Yau Manifold, when proximal local to a heuristic gravitational field, often tends to work to bear a Stoke's-Based, closed circuitry, in the Laplacian-Based tracing, of its implicitly  respective holonomic symplectic loop structure (like a ring/washer, that is morphed, into an interwoven knit structure). Whereas; The conformal mappable twining, of the cohomology-based webbing, of a Noether-Based Calabi-Yau Manifold, when proximal local to an anti gravitational field, often tends to work to bear the helicit tense, of a Mobius-Like circuitry, in the Laplacian-Based tracing, of its implicitly respective holonomic Khovanov loop structure (like a hook/mesh, that is morphed, into an interwoven knit structure).

When a De Rham charged Hamiltonian Operator, is to spontaneously reverse, in the direction of its spin-orbital momentum, this will often tend to result, in the eminently associated charge, that is here to be of such a respective stated Hamiltonian Operator, to consequently reverse, in the direction of the delineation, of its directly associated charge.  

A given arbitrary Noether-Based mass-bearing Hamiltonian Operator, that works to exhibit a succinct balance, between expressing a viably gauged tense of homotopic transfer, when in conjunction with expressing a viably gauged tense of homotopic restraint, may often work to bear, a relatively high scalar amplitude, of inertial pliability.  

A Ward-Cauchy-Related compact topological manifold, that works to exhibit a hermitian metric, may be thought of as being, a cohesive set of discrete energy-related eigenstates, that work to bear a homogeneous distributional delineation, when taken at a Laplacian.  

The stronger that the MajoranaWeyl-Invariant-Mode is to be, for an eminently associated given arbitrary compact Noether-Based mass-bearing Hamiltonian Operator, the more inert that such a cohesive implicit team of mass-bearing strings, will spontaneously tend to consequently be, when taken at a viably internal reference-frame, of which is here to be Poincare, to the proximal local shell, that is immediately externalized, from the interior Neumann bounds, of the holonomic metric phenomenology, of which is here to viably work to comprise, the eminently associated topological manifold, that is here to be, of the earlier stated respective mass-bearing compact Hamiltonian Operator.  

The more succinct the i*PI(Del) Action, the more resolute, that the eminently related Polyakov Action, will consequently tend to be.  The more resolute that the Polyakov Action tends to be, the more efficient, that the eminently associated conservation of homotopic residue, will consequently tend to be.  

The higher the order of Fourier-Related-Progression, of which an eminently related kinetically transferred Kahler Hamiltonian Operator, is to spontaneously work to exhibit, the more homomorphically driven, that its net gauge-action, will tend to be expressed as, over the durational course, of its eminently associated Lagrangian-Based motion.  

When a moving compact mass-bearing Hamiltonian Operator, is to recursively alter, back-and-forth, in its Lagrangian-Based Flow, from working to exhibit a steady-state delineation, at an internal reference-frame, into then working, for a relatively brief moment, to exhibit a perturbative delineation, at an internal reference-frame, and so on, this may often, at times, have the general tendency, of working to enhance the externalized torque, that is here to be eminently associated, with the tangentially exerted thrust, that is here to be expressed, by the externalized Lagrangian-Based wave-tug, that the net momentum, of the earlier stated compact mass-bearing Hamiltonian Operator, is to endeavor to demonstratively perform, as it is here to be spatially transferred, through the general region of space-time-fabric, that it is here to be in the general process, of being spatially translated through, over its eminently associated Fourier-Related-Progression.   




Tuesday, April 18, 2023

Torqued Projected Expansion Of A Recursively Inverted Slater-Based Mappable Lagrangian-Based Trace

 The torqued projected expansion, of a recursively inverted Slater-Based mappable Lagrangian-Based Trace, will often tend to work to exhibit the general physical characteristic, of a coil-like topological manifold. TO BE CONTINUED, LATER! SINCERELY, SAMUEL DAVID ROACH.(PHS1989).

A harmonically delineated Ward-Cauchy-Related Slater Expansion, tends to be metrically hermitian.  

When the Ricci Curvature, of the gravity waves, that are of a gravitational field, are inverted in their holonomic projection, of which is here to occur, when anti gravitational force is spontaneously incurred, upon a respective corroborative mass-bearing Hamiltonian Operator, this general tendency, may often tend to result, in working to facilitate, the spontaneous physical condition, of a less reticent Majorana-Weyl-Invariant-Mode, of which may often tend to work to help allow, for a less stagnant inertial tense, of the inferred kinetically transferred “team,” of mass-bearing eigenstates, to where this phenomenological occurrence, may often tend to result, in facilitating a freer motion, of the earlier mentioned mass-bearing Hamiltonian Operator.  

When a Hamiltonian Operator,  that behaves as a Kahler Manifold, works to exhibit a De Rham cohomology, it will often tend to work to bear, a relatively high level of conductivity.  Furthermore; When a Hamiltonian Operator, that behaves as a Kahler Manifold, works to exhibit a Dolbeault cohomology, it will often tend to work to bear, a relatively low level of conductivity.  

When a neutrino-related frequency works to exhibit the Kahler-Metric, it will consequently often tend to spontaneously result, in working to express a tense, of a hermitian-related force.  

When a propagating compact hermitian neutrino-related frequency, is escalating in its Lagrangian-Based Expansion, in a region, which is proximal local to an anti gravitational field, it, (the stated neutrino-related frequency), may often tend to be facilitated in its capacity, of potentially spontaneously being capable, of working to form a worm-hole, from within the general implicit Ward-Cauchy-Based region, of such a respective anti gravitational field.  

Gauged covariant delineated co-tangential convergence of spatial disturbance, forms frequency; And, non-gauged covariant delineated tangential divergence of spatial disturbance,  forms time. The Li-Based Nijenhuis Polarization of frequency, may work to facilitate, the formation of thought, and, the Gaussian-Based Nijenhuis Polarization of thought, may work to facilitate, the formation of frequency.  

The Li-Based Nijenhuis Polarization of metric eigenstates, may work to facilitate, the formation of eigenstates of instanton, and, the Gaussian-Based Nijenhuis Polarization of eigenstates of instanton, may work to facilitate, the formation of metric eigenstates.  

A Hamiltonian Operator that works to exhibit a Khovanov geometry, often tends to be more facilitated at becoming more dimensionally compact, than an otherwise analogous Hamiltonian Operator, that instead, works to exhibit a symplectic geometry.  

When one is to mathematically couple, the Poincare-Related Delineation, of a Kahler Hamiltonian Operator, when taken as Gliosis to the topological surface, of the respectively implicit energy-energy topological manifold, in conjunction with the eminently associated Lagrangian-Based Trace, of the gauge-action, of the stated respective Kahler Hamiltonian Operator, one will resultantly tend to get, the eminently associated bounded region, that is here to be immediately internal, to the mappable outline, of the directly associated Poincare plotting.  

When the Fourier-Related-Progression, of an eminently associated Lagrangian-Based Expansion, is relatively resilient, the directly associated net (co)homology-related eigenstate, may often tend to spontaneously work to bear, a relatively strongly innate structural integrity, over time. 


Recursively Inverted Slater-Based Expansion -- Sinusoidal Characteristics

 The mappable-tracing, of the Lagrangian-Based motion, of a recursively inverted Slater-Based Expansion, will have the general tendency, of working to exhibit a tense, of sinusoidal characteristics. SAM ROACH. 

The net light-cone-gauge eigenstate, of a De Rham Kahler Manifold, will often tend to bear a lack, of a tense of holonomic metrical perturbation. 

A charged Kahler Manifold, that is compact in its holonomic metric eigenstate, will tend to work to bear, a relatively pervasive permittivity, in its conduction-related capacity.  

The higher the order of helicity, that a Slater-Related Expansion is to work to express, the greater that the spatial dimensionality, of its corroborative Stoke's-Based depth, will consequently often tend to be. 

Escalative hexionic inverse thought per Majorana-Weyl-Invariant-Mode, is “free-will.”

When a recursively spinning Kahler Manifold, is to increase in the scalar amplitude of its frequency, the implicit Hamiltonian Operator (that is here to act as a Kahler Manifold), will tend to escalate, in the rate of its eminently associated rotation.  

A De Rham Kahler Manifold, that works to express a relatively strong charge, with a steady pulse, will often tend to exhibit a relatively tight internal cohomology-related cochain interwoven holonomic structure, as taken at the Poicare level to the topological shell, that is Gliosis to the general Ward-Cauchy boundary, of the respective implicit kinematically propagated Calabi-Yau Manifold. 

Since a relatively dimensionally compact Ward-Cauchy-Related field, tends to be more aerodynamic, than an otherwise analogous Ward-Cauchy-Related field, that is less dimensionally compact, and, a given arbitrary Hamiltonian Operator often ,tends to be more facilitated at being relatively more dimensionally compact, when it works to exhibit a Khovanov geometry, than if such an otherwise analogous Hamiltonian Operator is to express a symplectic geometry instead; A worm-hole will often tend to be relatively more aerodynamically facilitated, when the given arbitrary Hamiltonian Operator, that is here to be spontaneously entering such a respective worm-hole, is to be working to exhibit a Khovanov geometry, rather than working to exhibit a symplectic geometry. 

The more concise that the isotropic holomorphic reverberation is to be, that is here to be of a Noether-Based, mass-bearing Kahler Hamiltonian Operator, the stronger that its consequentially resulting pulsation, will thereby tend to be.  

Kahler Hamiltonian Operators, that act to reverberate in an ulterior manner, from the eminently associated net Lagrangian-Based holomorphic reverberation, the latter of which, is to heuristically work to facilitate the formation of the pulsation, that is of the respective implicit associated Kahler Hamiltonian Operator, that is of any one given arbitrary case, of the general implicit multiplicity of such associated case scenarios, that it will consequently tend to follow, that such earlier implicit ulterior genre of superfluous tensor-related reverberations, will often tend to work to form a state, of what may be thought of as a”jittering,” in the vibrational physical condition, that is eminently associated with the metric-based transference, of the Lagrangian-Based Mode, of the Fourier-Related-Progression, of the spatial translation, of the kinematic differentiation, of the motion, of such an implicit Kahler Topological Manifold.  

The inverted Poincare Delineation, as it may, when divided by the respectively associated Slater Delineation, tends to be analogous, to the degenerative Steady-State Delineation, of a respective, relatively conformally invariant, given arbitrary, eminently associated Kahler Hamiltonian Operator.  

An anti-matter Kahler Hamiltonian Operator, may often tend to require a lower cryogenic temperature, to bear a comparably viable electrodynamic efficiency, than an otherwise analogous Kahler Hamiltonian Operator, that instead, is matter based.  

When the acceleration, that is of a kinetically moving, compact mass-bearing Kahler Hamiltonian Operator, is such, to where its piecewise continuous alteration in its Lorentz-Four-Contraction, is to bear a smooth tense of change, over time, it will consequently tend to occur, that such a “team” of mass-bearing energy, will spontaneously tend to work to bear, a succinct i*PI(Del) Action.  

A Kahler Hamiltonian Operator, that works to exhibit a hermitian Lagrangian, will tend to express, a De Rham cohomology.  

Anti Gravity often tends to enhance the kinematic flow, of the general physical hermitian characteristic, of the Lagrangian-Based delineation, that is here to be eminently related, to the Fourier-Related-Progression, of a directly associated, kinetically propagated, Kahler Hamiltonian Operator.   

When the Slater-Based incursion, that is here to be imparted, upon a given arbitrary Kahler Hamiltonian Operator, is diminished in its scalar magnitude, this general type of a covariant physical situation, may often tend to spontaneously attenuate, the frequency of the acceleration, that is here to be eminently associated, with the escalation, of the hereunto implicitly considered, Lagrangian-Based Expansion, of which such a respective Kahler Hamiltonian Operator, is here to be exhibiting.  

A given arbitrary, kinematically propagated, Kahler Hamiltonian Topological Manifold, that works to spontaneously bear, both a relatively strong tense of heuristic-gauge, &, a relatively strong tense of metric-gauge, may often tend to bear, a covariant core-symplectic-related (co)homology-based structuralism, while spontaneously tending to work to bear, a covariant externalized Legendre-Related (co)homology-based structuralism. In the process, the core of the implicit projected trajectory, that is of the implied team of discrete energy eigenstates, will tend to be eminently resolute, in the progression of its pulsation. While;The externalized field of the implicit projected trajectory, that is of the implied team of discrete energy eigenstates, will tend to be eminently succinct, in the progression of its pulsation. 





Hermitian Distributional Delineation

 A Calabi-Yau Manifold, that works to express a hermitian distributional delineation, when both in terms of its Lagrangian-Based motion and its metric-based characteristics, will tend to exhibit a De Rham cohomology. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

Gauged covariant delineated tangential convergence, facilitates the formation of metric eigenstates. Whereas; non-gauged covariant delineated co-tangential divergence, facilitates the formation of thought eigenstates.  

A Kahler Manifold, that is here to be proximal local, to a relatively strong heuristic gravitational field, will often tend to work to bear, a relatively eminent euclidean distortion-like "warping," of the corroborative projected trajectory of the Ricci Curvature, that is here to be respective, to the directly associated phenomenology, of the spontaneously affiliated canonical line bundle, that is here to be Gliossis to the holonomic substrate, of the eminently associated cohomological stratum, as taken at the Poincare level, to the kinematically covariant general field of interaction, that is here to be progressively unfolding, between the Lagrangian-Based motion of the implicit Hamiltonian Operator, upon the substrate that it is here to be acting upon, when in conjunction with the corroborative reaction, of the acted upon zero-point-energy, that is here to be eminently poised upon, in the general course of its path. Whereas; A Kahler Manifold, that is here to be proximal local, to a relatively strong anti gravitational field, will often tend to work to bear, a relatively eminent hyperbolic distortion-like "warping," of the corroborative projected trajectory of the Ricci Curvature, that is here to be respective, to the directly associated phenomenology, of the spontaneously affiliated canonical line bundle, that is here to be Gliossis to the holonomic substrate, of the eminently associated cohomological stratum, as taken at the Poincare level, to the kinematically covariant general field of interaction, that is here to be progressively unfolding, between the Lagrangian-Based motion of the implicit Hamiltonian Operator, upon the substrate that it is here to be acting upon, when in conjunction with the corroborative reaction, of the acted upon zero-point-energy, that is here to be eminently poised upon, in the general course of its path.

The Following Is An Editorial!:

The cognitive entity, of the multiplicity of consonant vibrations, of the collective consciousness, as propagated along the Rarita Structure, may potentially be considered, as an expression, of the Holy Spirit.  


When a De Rham Kahler Manifold, works to exhibit a Khovanov geometry, it will often have a greater tendency, of working to bear a more piecewise continuous hermitian flow of Lagrangian-Based motion, than if, instead, such an otherwise analogous implicit Hamiltonian Operator, that is here to behave as such a respective Kahler Manifold, were here to be exhibiting a symplectic geometry.  

A Noether-Based cohomology-related region, of which is abelian in its light-cone-gauge physical attribute, that is super conformal invariant at an internal reference-frame, at a level that is Poincaire to the core-field -density of the respective region, tends to often have the likelihood, of working to bear mass.  

The more poignant that the abelian cohomology is to be, for a De Rham Kahler Manifold, when in reference to the general respective eminent effectual physical attribute, of the net light-cone-gauge eigenstate, that is proximal local to the Gliosis-related topological structure, of the interwoven shell, as taken at the Poincaré level, to the covariant kinematically propagative holonomic entity, that is of the implicit Hamiltonian Operator, of which is here to be exhibiting the Kahler-Metric, the more likely that the eminent physical condition of the implicit cohomological structure, will thereof become more resonantly bound, at the general proximal local region, at which the implicit cohesive set of interwoven zero states, are here to be exhibiting the holonomic tense, of expressing the general condition, of acting as the substrate of the eminently respective co-tangent bundle, in which such a cohomology-related condition is here to be exhibiting a super conformal invariant conditional state, that is here to be eminently associated with its directly associated cochain complex, at an internal reference-frame to the externalized shell, of the implicit kinematically propagated Noether-Based mass-bearing Hamiltonian Operator, will quite often facilitate the general case scenario, in which such a respective De Rham Kahler Manifold, will thereby often have the general tendency, of consequently resulting in behaving as such, when taken over a respective proscribed Fourier-Related-Progression.

The stronger that the charge is, of a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, the more tightly knit, that its eminently associated cochain complex, of its directly associated net cohomology-related eigenstate, will generally tend to be.  

A Dolbeault Hamiltonian Operator, that works to exhibit a recursively stable dimensional-related pulsation, will often tend to exhibit an erratic Lagrangian-Based spatial delineation.  

A relatively compact Kahler Manifold, is more likely to maintain its general characteristic, of exhibiting a hermitian metric, than an otherwise analogous Kahler Manifold, that is not as (implicitly) dimensionally compact.  

When the general physical characteristics, of homotopic transfer and homotopic restraint, are succinctly in balance, for a given arbitrary Hamiltonian Operator, this may often spontaneously tend to lead, to the proximal local general physical attribute, in which the stated Hamiltonian Operator, will thereby often consequently tend to result, in working to bear a hermitian metric. Kahler Hamiltonian Operators, often tend to work to bear, a succinct balance, between exhibiting a viably gauged tense, of homotopic transfer, with exhibiting a viably gauged tense, of homotopic restraint.  

The more homogeneous that the distributional delineation is to be, of the eminently associated energy-related eigenstates, when taken at a Laplacian, for a given arbitrary respective mass-bearing Noether-Based compact Hamiltonian Operator, the more likely that such an implicit mass-bearing cohesive set of discrete energy eigenstates, will thereby tend, to spontaneously work to express, a relatively strong scalar amplitude, of the general physical characterization, of the Kahler-Metric.  

The multiplicity, of a given arbitrary, proximal local, metric-related, homology-associated, topological manifold, is Analogous, to the respective multiplicity, of the eminently associated, proximal local, Brane-Related, homology-associated, topological manifold, (As appertaining to the homology-related structure, that is eminently associated, with the topology, of the spatial disturbance, of the acted upon Lagrangian-Based Motion), when multiplied by -i.  

A Dolbeault Kahler Hamiltonian Operator, will tend to exhibit Lagrangian-Based Spurs, over the corroborative durational course, of its kinetic spatial transference, as it is here to be undergoing, its eminently associated Fourier-Related-Progression.

A transversally propagated compact mass-bearing Hamiltonian Operator, that works to exhibit a hermitian metric, tends to express more isotropic stability, than an otherwise analogous transversally propagated compact mass-bearing Hamiltonian Operator, that does not have a hermitian metric. This is part of why, a Kahler Hamiltonian Operator, often tends to exhibit a more resolute Fourier-Related-Progression, than an otherwise analogous compact Hamiltonian Operator, that is not Kahler.  

When a given arbitrary, kinematically propagated, Kahler Hamiltonian Topological Manifold, is to physically incur, the likings of a heuristically gauged force, via the Lagrangian-Based Drive, of its directly associated Fourier-Related-Progression; The eminently corroborative net cohomology-related eigenstate, that is here to be proximal local in effect, to the externalized attributable field, that is formed by the covariant trivial isometric projected trajectory, of the  kinetic transference of the implicit team of discrete energy quanta, may often thereby tend to have a spontaneously enhanced capacity, of being able to stretch to-and-fro, in the general process of the duration, of its eminently corroborative Lagrangian-Based Expansion. 

The spontaneous generation of Charge, often tends to involve a relatively Riemann-like dispersion. Whereas; The spontaneous generation of Entropy, often tends to involve a relatively Rayleigh-like dispersion. 






Thursday, April 13, 2023

Concise Conservation Of Homotopic Residue

 Homotopic residue tends to be conserved more concisely, with the path-related motion of a Kahler-Based Manifold, than with the path-related motion of a different type of a Hamiltonian-Based manifold, that is otherwise analogous, in the expression of its physical nature. To Be Continued! Sam. 

A Yau-Exact cohomology, generates as much cohomology as it degenerates, in a general manner, that is heuristically piecewise continuous.  A Floer cohomology, may either generate more cohomology than it degenerates, less cohomology than it degenerates, or the same amount of cohomology as it degenerates, in a piecewise continuous manner, when in lieu of the proximal local particular situation,  that is here to occur, in the respective super string-related realm, that is here to be viably pertinent.  Thereupon; A symplectic cohomology, that is here to express itself as a Floer cohomology, is not always Yau-Exact.  One example, However, in which a Floer cohomology tends to generally be Yau-Exact, though, is in the particular type of a case scenario, in which one is here to be dealing, with the Fourier-Related-Progression, of a Kahler Manifold.  So; When a Kahler Manifold is to be considered, in its general transit, along the super-string-related realm,  — in which one is here to be viably considering, the eminent spatial translation, that is of a mass-bearing Lagrangian-Based Topological Manifold, to where such a general type of a Manifold, is here to work to bear, the eminent proximal local presence, of an inherent cochain complex, to where one will thereby generally tend to be dealing with here, the likings, of a Floer cohomology.  

When the Lagrangian-Based projection of a kinematically delineated Hamiltonian Operator, is to work to exhibit, both a Euclidean-Based AND a Clifford-Based Expansion, the directly associated Lagrangian-Based path that is thence formed, will consequently tend to exhibit a respective tense of helicity. 

The higher the order of a Slater-Based Incursion, that is to be imparted upon the a Lagrangian-Based projection, of a kinematically delineated Hamiltonian Operator, that is here to exhibit, both a Euclidean-Based AND a Clifford-Based Expansion, the greater the frequency of helicity, that the eminently related respective Lagrangian-Based trajectory, will consequently tend to exhibit. 

A compact diffeomorphic Kahler Manifold, tends to work to bear a cohomology, that has a more resolute cochain complex, than an otherwise analogous compact Kahler Manifold, that is not diffeomorphic.  

A compact diffeomorphic Kahler Manifold, tends to be more transferable through space, than an otherwise analogous compact Kahler Manifold, that is not diffeomorphic.  

When a macroscopic De Rham Kahler Manifold, is easily facilitated, at spontaneously going, from exhibiting a tense of charge generation, into subsequently spontaneously going, into exhibiting a tense of charge degeneration, it may often be said, that such an implicit De Rham Hamiltonian Operator, is here to tend to be expressing, a set of physical Characteristics, that are akin, to a macroscopic Floer Cohomology. 

Inverted homotopic dissipation is equivocally tantamount, to harmonic homotopic dispersion. AND; Heuristic homotopic dissipation is equivocally tantamount, to anharmonic homotopic dispersion. 

A Noether-Based mass-bearing Kahler Hamiltonian Operator, that works to bear a spurless piecewise continuous motion, in which its dimensional-related pulsation is recursively stable, will tend to work to bear, a De Rham cohomology. 

A given arbitrary Noether-Based mass bearing Hamiltonian Operator, that works to bear a hermitian isotropically stable Legendre (co)homology, to where such an implicit “team” of mass-bearing strings, is here to exhibit a tense of group action, will often tend to bear a more conically directed angular momentum, than an otherwise analogous Hamiltonian Operator, that is instead, to Not spontaneously work to bear, an eminently associated tense, of isotropic stability (thereby involving group action).  

A laser that expresses Tesla-Related characteristics, will tend to exhibit more eminently associated Dolbeault-Related physical attributes, than an otherwise analogous laser, that instead, does Not express Tesla-Related characteristics.  

When an initially considered Kahler Hamiltonian Operator, is to be spontaneously incurred upon, by an enhanced anti gravitational field, the respective implicit compact topological manifold of hermitian metric, will consequently tend to result, in spontaneously working to express, an enhanced tense of homotopic transfer.  

The higher the order of metric pulsation, that is to be exhibited by a compact Hamiltonian Operator, the more spontaneously resolute, that its eminently associated gauge-action, will consequently tend to be. 

The sub-electromotive tense, of the Moment Of Inertia, that is eminently in regards, to the physical behavior, of zero-point energy, may often tend to work to facilitate, a tense of conformal attraction, upon its immediately external field.  

The sub-electromotive tense, of the cubic frequency, that is eminently in regards, to the physical behavior, of zero-point energy, may often tend to facilitate, a tense of conformal repulsion, upon its immediately external field.  


The stronger that the metric binding tends to be, for a Kahler Hamiltonian Operator, the more resolute that its eminently associated Fourier-Related-Progression will tend to be.  This is to where, such a stated Kahler Hamiltonian Operator, will thereby spontaneously tend to consequently work to exhibit, a stronger tense, of an adherent pulsation.  



Monday, April 10, 2023

Smooth Torsional Attribute Of Certain Kahler Manifolds

 When the spin-orbital tensors, of the Nijenhuis topological sway, that are here to be eminently associated, with a given arbitrary kinematically propagated Kahler Manifold, are here to be of a steady-stated based nature, this may often tend to work to incur a smooth torsional physical attribute, upon the Lagrangian-Based behavior, of the particular mentioned Kahler Manifold, of which is here to be undergoing such an inferred general tense, of a Fourier-Related-Progression. TO BE CONTINUED! SAMUEL ROACH.

The higher the order of Slater-Based incursion, that is here to be imparted, upon the hermitian motion, of a directly associated rotating Kahler Hamiltonian Operator, of which is here to be working to bear a De Rham cohomology, as the stated Hamiltonian Operator, is here to be in the general process, of being physically transferred through space, the more piecewise continuous, that its eminently associated recursive spinning,  is to thereby tend to be exhibited as.  

A spinning isotropically stable heuristic Calabi-Yau Manifold, often tends to work to bear minimal entropy.  

The more resolute that the cohomology-based mappable-tracing is to be, the more definitive that the projected trajectory,  of the implicit kinematically transferred Hamiltonian Operator, will consequently tend to be.  The less resolute that the cohomology-based mappable-tracing is to be, the less definitive that the projected trajectory, of the implicit kinematically transferred Hamiltonian Operator, will consequently tend to be.  

A Kahler Hamiltonian Operator, tends to work to bear a more resolute tense of homotopic transfer, than an otherwise analogous Hamiltonian Operator, that is not of a Kahler-Related genus, of topological manifold.  

A gauge-invariant Kahler Hamiltonian Operator, tends to work to bear a more resolute tense of homotopic restraint, than an otherwise analogous Kahler Hamiltonian Operator, that is not of a gauge-invariant-related genus, of topological manifold.  


When gravity is artificially bent, by the rotationally transversal incursion, of a recursively stable spinning  Hamiltonian Operator, that is highly efficient and effective in its general Kahler-Based physical attributes, this may often tend to facilitate the general capability, of working to allow for such an implicit Kahler Hamiltonian Operator, to proceed at eminently spontaneous ensuing to thereby form, the likings of an artificial worm-hole. 

The greater that the scalar magnitude is to be, of the eminently associated Majorana-Weyl-Invariant-Mode, that is here to be directly related to the inertial/based characteristics, that are of an eminently pertinent cohesive group of isotropically stable mass-bearing Kahler-Based Hamiltonian Operators, of which are here to therefore act as one net Hamiltonian Operator, the greater of a general tendency, in which such an implicit net Kahler Hamiltonian Operator, is thence to be more potentially capable, of being able to bend gravity in such a general manner, to where such an implicitly spinning transversally propagated Hamiltonian Operator, is thereby to tend to bear a greater capacity, of being able to facilitate the spontaneous incursion, of working to form an artificial worm-hole.  

A Kahler Hamiltonian Operator tends to have an easier time at permeating space-time-fabric, than an otherwise analogous Hamiltonian Operator, that instead, is not Kahler.  

A Kahler Hamiltonian Operator, that works to exhibit a relatively strong resolution, in the physical expression of its Fourier-Related-Progression, will often tend to exhibit, a relatively strong tense, of isotropic stability. 

A Strongly Kahler mass-bearing Hamiltonian Operator, tends to consequently work to exhibit, a relatively strong respective resolution, in the expression of its eminently corroborative Lorentz-Four-Contraction, to where this is here to happen, in such a manner, that is thence to be inversely demonstrative, when in correlation to the eminently corroborative general expression, of the respective tense of resolution, that the Polyakov Action is here to exhibit, as this is here to be considered, in the respective physically attributable resulting incursion, that it is here to end up imparting, as taken upon the eminently related, covariant proximal local physical environment, that it is here to be delineated through, as it is to be spatially propagated, as a net eigenstate of physically transferred mass-bearing phenomenology, as it is here to be tugged along the Rarita Structure, over the coherent duration, of its directly associated Fourier-Related-Progression.  

Dimensional-Related Meter, tends to work to facilitate gauging the restraint, that is to be incurred, upon an eminently associated Hamiltonian Operator.  

The less entropy that is here to be incurred, upon the physical transference, of a holonomic wave, of which is here to be comprised of, by a cohesive set of net Hamiltonian-Based eigenstates, the more likely, that the implicit wave of energy-related holonomy, will thereby often tend, to bear a relatively heightened tense, of spontaneous vibratory resolution, in the progression of its permeation, through the general externalized operand, of time and space.  

The more super conformal invariant, that a mass-bearing Kahler Hamiltonian Operator is to be, at an internal reference-frame, the stronger that its spontaneous resonant pulsation, will consequently tend to be. 

A Kahler Hamiltonian Operator, that works to exhibit, a relatively strong metric-pulse, will often tend to work to bear, a relatively resolute inertial-based flow. A Kahler Hamiltonian Operator, that works to exhibit, a relatively strong heuristic-based pulse, will often tend to work to exhibit, a relatively strong succinct inertial-based flow.  Furthermore; A strongly gauged Kahler Hamiltonian Operator, that is also strongly heuristic, in its exemplified general physical characteristics of pulsation, may often tend to work to bear, an inertial-based flow, that is both relatively strong in its resolution, as well as in its relative general attribute of succinct kinematic behavior, as such an implicit team of mass-bearing discrete energy, is proceeding along its Lagrangian-Based Path, over time.  

When a Kahler Hamiltonian Operator, is proximal local to a heuristic gravitational field, that is here to be in the general process, of altering into an anti gravitational field, as during the general singularity, in which such an alteration in the implicit “polarity” of gravitational genus, is about to spontaneously invert, the consequentially resultant projected trajectory, of the implicit team of discrete mass-bearing energy, may often tend to work to bear a sheaved/un sheaved-like Brane of cohomology-related topological  manifold, in which there may often tend to be an inversion of the helicity, in the spin-related mappable-tracing, of the implicit initially constructed De Rham tense, of cohomology-based topological manifold, to where, at the implicit singularity of cohomology-related mappable-tracing, one may often tend to construe the potentially proximal local presence, of a tense, of a Nielson-Kolosh-Related cohomology-based phenomenology. 

The more “ardent” and harmonically articulated, that a Lagrangian-Based flow is to be exhibited as, the more smoothly annunciated, that its implicit resonant pulsation, will often tend to be exhibited as.  

The harmonic recursively stable rotation, of a spinning kinetically transferred Kahler Hamiltonian Topological Manifold, that is being kinematically propagated through a Higgs Field, will tend to spontaneously behave, as a differentially flowing charged mass, that is here to often tend to bear, a holomorphic Lagrangian-Based Drive. 

The more homomorphic that the Higgs Field is to be, the more isotropically stable of a mass, that it will spontaneously tend to induce. 





Sunday, April 9, 2023

When A Kahler Manifold Is Not Diffeomorphic

 When a Kahler Manifold lacks a “monomial” tense of a shape, it may be said to Not be diffeomorphic. Samuel David Roach. 

The more resolute that the cochain complex of a net cohomology-related eigenstate is to be, the more potentially embedded that its corroborative mappable-tracing will consequently tend to be.  

A strengthening of the net gauge-action, of an eminently corroborative, kinematically propagated, Kahler Hamiltonian Topological Manifold, may often tend to be capable, of working to enhance the Ward-Cauchy-Related structural integrity, of the covariant net topological stratum, that such an implicit team of cohesive discrete energy eigenstates, is here to work to comprise, as it is tugged along its Lagrangian.

A given arbitrary tense of a Fourier-Related-Progression, that is tugged through a relatively viscous heterogeneous state of space-time-fabric, will often tend to spontaneously become more anharmonic in perturbation, than if such an otherwise analogous tense of a Fourier-Related-Progression, is to be, instead, tugged through a relatively less viscous heterogeneous state, of space-time-fabric. 

When the interface that is to be kinematically developed, between a particle-like phenomenon, And, the eminently corroborative Higgs Field, is to bear a spontaneously perturbation, in its Stokes-Based Concavity, this general process, may often tend to potentially facilitate the reductional capacity, for the spontaneous generation of Imaginary Charge, as tending here to be holomorphic in delineation, as transmitted via a mass-based structure. 

When the motion, of an eminently associated, harmonic recursively reverberating, Kahler Hamiltonian Topological Manifold, is to bear a tense of conformal invariance, in so as to tend to exemplify, the general type of a certain static equilibrium, it will thereupon often render, here, that the eminently corroborative, indistinguishably different, effectual net Wick Action, that is here to spontaneously facilitate the ensuing generation of the Landau-Gisner Action, will often spontaneously tend to work to bear, an eminently associated, recursively reverberating, harmonic motion, via the equivocally necessary Ward-Polarization, of the said contingent Wick Action, in so as to effectively allow, for this harmonic case of super symmetry, to happen, as well as in a manner, that is vicariously gauged.



Tuesday, April 4, 2023

Enhancing Heuristic Expression Of A De Rham Cohomology

 The incursion of a Wess-Zumino Action, upon the Lagrangian-Based motion of a Kahler Manifold, may often tend to work to enhance, its heuristic expression, of a De Rham cohomology. SAM ROACH.

The covariant action between two different actual spaces, that are of the same universal setting, may be said to work to bear, a hermitian covariance.  Whereas; The covariant action between two different actual spaces, that are not of the same universal setting, may be said to work to bear, a Nijenhuis covariance.  

Eigenstates that are eminently associated, via a hermitian covariance, are Real Gaussian, relative to one another.  Whereas; Eigenstates that are eminently associated, via a Nijenhuis covariance, are Li Gaussian, relative to one another. 

When the Kahler-Metric, that is eminently associated with a given arbitrary accelerating Hamiltonian Operator, is enhanced, this may often tend to facilitate the enhancement, of the eminently related Slater-Based Incursion, that is here to often tend to be imparted, upon an accelerating Kahler Hamiltonian Operator.  

When the Majorana-Weyl-Invariant-Mode, that is eminently associated, with the general physical characteristic, of a directly correlated accelerated Noether-Based mass-bearing Hamiltonian Operator, is to be coupled, with the eminently corroborative net cohomology -related kinematic gauge-action, that is here to work to guide the general restraint attribute, of the directly correlative Lagrangian-Based motion, of the respective implicit team of mass-bearing discrete energy eigenstates, this general physically synchronized operational attribute, may often tend to work to form, what here may be tantamount, to the characteristic operational condition, that may be aptly described of, as being, the Chern-Simons Related inertial progression, of the respectively stated Hamiltonian Operator.  

When the eminently associated Majorana-Weyl-Invariant-Mode, that is proximal local in functional attribute, to the net general operation, of the corroborative accelerated Noether-Based mass-bearing Hamiltonian Operator, that is here to be of such a respectively incurred case scenario, to where this is here to be physically coupled, with the eminently associated net cohomology-related holonomic gauge-action, that operates, in so as to “steer” the implicit team of corroborative discrete energy permittivity eigenstates, it will thereby often consequently tend to follow, that such an implicit corroborative physical functional attribute, may often tend to work to facilitate, the general characterization, of what may be thought of, as being, the consequential resultant phenomenology, of the Chern-Simons Related inertial resolution, that is of the corroboratively stated respective Hamiltonian Operator.  

The more compact of a spatial entity, that the topological manifold of a Hamiltonian Operator is to be, the greater the conformal cohesion will consequently tend to be. 

The adhesion of a spatial entity, that is proximal local to a Hamiltonian Operator, of which is here to act as a compact topological manifold, is often to tend to be, the corroborative net gauge-action, of the eminently associated conformal cohesion.  

A Hamiltonian Operator, that works to exhibit a relatively strong tense of the Kahler-Metric, will often tend to spontaneously work to exhibit, as well, a relatively strong tense, of conformal cohesion.  

The proximal local incursion of anti gravitational force, may often tend to spontaneously facilitate the incursion, of a relatively strong tense of conformal cohesion, upon the implicitly effected Kahler Hamiltonian Operator.  

When a Kahler Hamiltonian Operator, is to exhibit a relatively strong tense of inertial succinctness, the eminently corroborative cohomology, that it is to work to form, over the general process of its directly affiliated Fourier-Related-Progression, will often tend to spontaneously work to exhibit, a relatively strong tense,  of an eminently related elastic modulus.  

When a Kahler Hamiltonian Operator, is to exhibit a relatively strong tense of Lagrangian-Based succinctness, the eminently corroborative cohomology, that it is to work to form, over the general process of its directly affiliated Fourier-Related-Progression, will often tend to spontaneously work to exhibit, a relatively strong tense, of an eminently related fractal modulus.  

The stronger the inertial pliability, of a given arbitrary Kahler Hamiltonian Operator, the greater that its eminently associated elastic modulus, will consequently tend to be.  

When the dimensional-related pulsation, is non-perturbative, this may often tend to indicate, a situation, in which the implicitly involved, compact Hamiltonian Operator, of which is here to be performing, the so-eluded-to unchanging tense, of dimensional-related pulsation, is thereby to thenceforth, have a relatively heightened probability, of demonstratively being Gauge-Invariant.  

A puncture-related Lagrangian-Based Drive, in the kinematic propagation, of a kinetically moving mass-bearing, Kahler Hamiltonian Topological Manifold, often tends to be eminently corroborative, with the elastic modulus, of a directly related phenomenology, that works to perform an eminently associated, Fourier-Related-Progression. Whereas; A pressure-related Lagrangian-Based Drive, in the kinematic propagation, of a kinetically moving mass-bearing, Kahler Hamiltonian Topological Manifold, often tends to be eminently corroborative, with the fractal modulus, of a directly related phenomenology, that works to perform an eminently associated, Fourier-Related-Progression. 

When a metric-gauged, kinematically propagated, Kahler Hamiltonian Topological Manifold, is to spontaneously work to bear, a hermitian i*PI(del)Action, then, its eminently corroborative resonant vibration, will often tend to be recursively smooth, in the general procession, of its directly associated piecewise continuity. Whereas; When a heuristic-gauged, kinematically propagated, Kahler Hamiltonian Topological Manifold, is to spontaneously work to bear, a hermitian i*PI(del)Action, then, its eminently corroborative transversal projected trajectory, will often tend to be recursively smooth, in the general procession, of its directly associated piecewise continuity. 






Inhibiting Heuristic Expression Of A De Rham Cohomology

 The incursion of a Cevita Action, upon the Lagrangian-Based motion of a Kahler Manifold, may often tend to inhibit it, from working to express a heuristic De Rham cohomology. SAMUEL ROACH. 

The spontaneous incursion of conformal repulsion, may often be affiliated, with a particular general genus, of a Cevita Action.  

The spontaneous incursion of conformal cohesion, may often be affiliated, with a particular general genus, of a Wes-Zumino Action. 

Charge is facilitated, by the following general physical operation:  As the heuristic i*PI(Del) Action, when coupled with its eminently associated unitary gauged-force, is Delineated through a Lagrangian, as the implicit compact mass-bearing Hamiltonian Operator, is spatially transferred, over the regional span, that is corroborative with its eminently associated momentum of inertia, this general tense of a physical kinematic expression, may often tend to facilitate, the formation, of electrodynamic charge.  

Electrons tend to be eminently corroborative, with the electromotive “drive,” of a directly associated atom, in which such an implicit set of one or more electrons, is here to be proximal local to, as part of the composite make-up, of such a given arbitrary atom. Whereas; Protons tend to be eminently corroborative, with the electromotive “restraint,” of a directly associated atom, in which such an implicit set of one or more protons, is here to be proximal local to, as part of the composite make-up, of such a given arbitrary atom. 


Wednesday, March 29, 2023

Debilitation Of The Kahler-Metric

 When the interactive incursion of a "ghost"-based inhibitor, is to be kinematically imparted, upon the kinematic action of a given arbitrary Yau-Exact Hamiltonian Operator, this general tense of a given arbitrary Ward-Cauchy-Related occurrence, may often tend to work, at consequently resulting in the debilitation, of the attributably heuristic effect of the Kahler-Metric, of which such an earlier stated Hamiltonian Operator, may have tended to work to express, just before the inferred cohomological inhibitor, had worked at being interactively incurred, upon the Lagrangian-Based motion, of the said respective Hamiltonian Operator. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

A Dolbeault Kahler Hamiltonian Operator, will tend to Not exhibit a diffeomorphic cohomology. 

When the Fourier-Related-Progression, of a kinematically propagated thought wave, is to strike a hermitian balance, between being Holographically Polarized, &, being Holographically Inverted, this may often work, to form the general phenomenology of mass. The ebbing to-and-fro, of that multiplicity of cohesion, that is facilitated into formation, by the recursive re-calibration of the eminently associated Chern-Simons Invariants, works to help allow for the generation of magnetism.  

Both discrete imagination & discrete free-will, may be expressed with the same physical units, yet, discrete imagination tends to be characterized at a much more reductional level, than discrete free-will does.  Furthermore; The vector quantum value of imagination, may go equivocally by an integer amount, into the vector quantum value of free-will, yet, the general physical phenomenology of imagination, is a different form of expressive field interface, than the general physical phenomenology of free-will, happens to be expressed as.  

Not all entropy is the same. Some entropy often tends to be malevolent, while other entropy often tends to be benevolent. Entropy that tends to work to facilitate the desecration of universal development, is generally malevolent. While other entropy, that instead, tends to work to facilitate the consecration of universal development, is generally benevolent. When thought energy momentum accompanied by yang, is coupled with the alteration of a biological entity’s motion relative to light, this may often tend to facilitate, the formation of malevolent entropy. Whereas; When thought energy momentum accompanied by yin(g), is coupled with the alteration of a biological entity’s motion relative to light, this may often tend to facilitate, the formation of benevolent entropy. 


Monday, January 30, 2023

Kinematically Driven Resonant Metric -- More Homotopic Stability

 The Lagrangian-Based motion of a  given arbitrary Noether-Based Hamiltonian Operator, that works to bear a kinematically driven hermitian resonant metric, has the general tendency of expressing more homotopic stability, than the motion of an otherwise analogous Hamiltonian Operator, that instead, works to bear a kinematically driven sporadic resonant metric. SINCERELY, SAMUEL DAVID ROACH.

Sunday, January 29, 2023

Reinforced Drive Of Angular Momentum

 When there is to be an enhancement in the torsion, that is here to be incurred upon the resonant metric, of a directly associated kinetically delineated Hamiltonian Operator, this general process, will often tend to help facilitate a reinforcement in the drive, of the corroborative angular momentum, that is here to be eminently associated, with the Lagrangian-Based motion, of the said respective Hamiltonian Operator. SINCERELY, SAMUEL DAVID ROACH.

Saturday, January 21, 2023

Kahler Manifolds -- Aerodynamic

 Kinematically delineated Calabi-Yau Manifolds that are Kahler, have the general tendency of being more aerodynamic, than otherwise analogous Calabi-Yau Manifolds that are not Kahler. This is because such Kahler Manifolds, since these have a smooth Riemann surface, will tend to work to bear both less Chern-Simons Lagrangian-Based spurs and less Chern-Simons metric-based spurs. This just stated condition, works to facilitate the general physical condition, in which such mentioned Calabi-Yau Manifolds, will thereby consequently tend to work to bear both a more hermitian Lagrangian-Based spatial transfer, as well as tending to work to bear a more hermitian metric-based spatial transfer. This general condition, will consequently lead to the general physical attribute, in which such an implied Kahler Manifold, will thereby resultantly tend to spontaneously work to bear both a more hermitian angular momentum, as well as spontaneously working to bear a more hermitian spin-orbital momentum. This thereby tends to free-up the motion of such an inferred Kahler-Based Calabi-Yau Manifold, to where, as implied before,  it is thereby to consequently tend to end-up spontaneously becoming more "aerodynamic," than an otherwise analogous kinematically delineated Calabi-Yau Manifold. TO BE CONTINUED! SAM ROACH. 

Wednesday, January 18, 2023

Smallest Metric-Related Radial Distributional Delineation Possible

 The smallest metric-related radial distributional delineation, in the disturbance of the pressurized vacuum of space-time-fabric, that may possibly be divvied out, is directly associated, with what may be tantamount, to the smallest possible sub-Lagrangian-Based motion, that the phenomenology of zero-point-energy is able to spatially translate, as from within the Ward-Cauchy-Related realm, of the multiplicity of substring-based phenomenology. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Thursday, January 12, 2023

Non Perturbative Restraint Incurred Upon Holonomy Of Propagated Tense Of Homotopic Transfer -- De Rham Cohomology

 When a non perturbative restraint is incurred upon a particular tense of that homotopic transfer, of which is here to be directly related to the correlative spatial propagation, which is eminently associated with the path-based curvature of the Lagrangian-Based flow of motion, of which is here to be directly associated with the Fourier-Related-Progression of the holonomnic permittivity, that is of the behavior of a given arbitrary respective Hamiltonian Operator, this will thereby often tend to be indicative, of a directly associated proximal local kinematically delineated net gauge-invariant field. Such a general inferred tense of quantum behavior, may often tend to work to facilitate the potential resultant expression, of a consequential spontaneously exhibited proximal local tense, of a De Rham cohomology. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Monday, January 9, 2023

Gravity -- Homotopic Transfer

 The spontaneous physical application of anti gravity, upon the Lagrangian-Based motion of a given arbitrary Hamiltonian Operator, may often tend to increase the homotopic transfer, of that respective Hamiltonian Operator. Whereas; The spontaneous physical application of heuristic gravity, upon the Lagrangian-Based motion of a given arbitrary Hamiltonian Operator, may often tend to decrease the homotopic transfer, of that respective Hamiltonian Operator. TO BE CONTINUED, LATER!(1989).I WILL CONTINUE WTIH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.