Showing posts with label metric. Show all posts
Showing posts with label metric. 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. 

Friday, May 22, 2026

Cool Stuff

 The coupling of the i*PI(Del)Action with angular momentum, may often tend to be eminently associated, with the facilitation of the scattering of infrared photons. Furthermore; The coupling of the i*PI(Del)Action with angular frequency, may often tend to be eminently associated, with the facilitation of the formation of chiral-based magnetism. In other words; The coupling of unitary heuristic-gauged magnetic potential with angular momentum, may often tend to work to form the scattering of infrared photons. While the coupling of unitary heuristic-gauged magnetic potential with angular frequency, may often tend to work to form chiral-based magnetism. 

The covariant proximal local presence of imaginary charge, often tends to be eminently associated, with the alteration of spatial dimensionality. The greater that the eminently corroborative positive ordering of Nijenhuis (imaginary) physical impartation is to be, that is here to be directly associated with the action of a particular incurred imaginary charge, the more that the respectively associated spatial dimensionality, will tend to be decreased. Furthermore; The greater that the eminently corroborative negative ordering of Nijenhuis (imaginary) physical impartation is to be, that is here to be directly associated, with the action of a particular incurred imaginary charge, the more that the respectively associated spatial dimensionality, will tend to be increased. 

Free-Will often tends to be more eminently corroborative with heat than with sound, whereas, Imagination often tends to be more eminently corroborative with sound than with heat. 

Free-Will often tends to be more potentially corroborative with entropy than with charge, whereas, Imagination often tends to be more potentially corroborative with charge than with entropy. 

Free-Will tends to be more restrained in a metric-based manner than in a time-wise-related manner, whereas, Imagination tends to be more restrained in a time-wise-related manner than in a metric-based manner. 

A holomorphic driven chiral-based magnetic eigenstate, tends to be eminently associated, with a negative charge. Whereas; An anti-holomorphic driven chiral-based magnetic eigenstate, tends to be eminently associated, with a positive charge. 

Adjacent Holomorphic driven chiral-based magnetic eigenstates, tend to spin asymmetrically, relative to each other, due to the ramifications of mirrored symmetry. 

Holomorphic driven chiral-based magnetic eigenstates, tend to bear the opposite charge than what is expressed from the likes of antiholomorphic driven chiral-based magnetic eigenstates. Anti chiral charges, or, in other words, opposite charges, attract. 

Holomorphic driven chiral-based magnetic eigenstates, when individually taken, tend to be comprised of, by a more dimensionally compact Hamiltonian topological manifold, than their eminently corroborative anti holomorphic driven chiral-based magnetic eigenstate counterparts, when individually taken, in a respectively considered manner. 

Chern-Simons Invariant gauge-action recalibration due to the kinetic interplay of fractional spin, tends to spontaneously work to form the covariant proximal local presence, of holomorphic driven chiral-based magnetic eigenstates. Whereas; Chern-Simons Invariant gauge-action recalibration due to the kinetic interplay of whole spin, tends to spontaneously work to form the covariant proximal local presence, of anti holomorphic driven chiral-based magnetic eigenstates. 

When a mass-bearing Hamiltonian Topological Manifold, is to work to bear a fractional spin, the  corroborative equal and opposite reaction to the general likings of this, of which is here to be eminently associated, with the directly related harmonic re-calibration of Chern-Simons Invariant gauge-action, is thence to work to facilitate the formation, of a holomorphic driven chiral-based magnetic eigenstate, of which is here to spontaneously generate, the covariant proximal local presence, of a negative charge.

When a mass-bearing Hamiltonian Topological Manifold, is to work to bear a whole spin, the corroborative equal and opposite reaction to the general likings of this, of which is here to be eminently associated, with the directly related harmonic re-calibration of Chern-Simons Invariant gauge-action, is thence to work to facilitate the formation, of an anti holomorphic driven chiral-based magnetic eigenstate, of which is here to spontaneously generate the covariant proximal local presence, of a positive charge.

Let’s say that one is to consider, here, in a given arbitrary case scenario, two different and distinct commutations of wave-based transference. Both of which, here, are to express the same piecewise continuous quantum, of net physical energy. One of such commutations of wave-based energy, is here, in this particular case scenario, to express a relatively stronger pulse, than the other of the two. That commutation of wave-based transference of the two, that exhibited the stronger pulsation, is here to be exhibiting the greater scalar magnitude, of Fourier-Related-Progression. 

Let’s say that one is here to consider, two different and distinct commutative wave-based transferences. One is to be binary metric-gauged, while the other is to be unitary metric-gauged. Otherwise, these two different respective commutative wave-based transferences, are to be viably analogous. That implicit transference of wave-related phenomenology, that is here to be binary metric-gauged, will thereupon tend to spontaneously work to exhibit, a stronger Fourier-Related-Progression, than the other one. 





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. 


Tuesday, April 18, 2023

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. 






Sunday, April 9, 2023

Diffeomorphic

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

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

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

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

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

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

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

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

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

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

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




Thursday, March 23, 2023

Neutrinos — Metric-Based Chern-Simons-Related Spurs

 When neutrino-related frequency is to become  scattered in an anharmonic manner, it will tend to spontaneously work to bear metric-based Chern-Simons-Related spurs. When neutrino-related frequency is to spontaneously work to bear metric-based Chern-Simons-Related spurs, the force that it will consequently tend to work to encode for, will tend to spontaneously alter in the hermicity of its pulse. Sam Roach

The interface of radio waves with thought waves, over the course of discrete time, may often tend to work to form, a “free-flow” of neutrinos, from within the synapses, of the neurological system of a biological entity.  Such a “free-flow” of neutrinos, may often tend to work to facilitate, the spontaneous generation of imagination-like processes, from within such an implicitly stated biological entity.  

The more hermitian that the net metric eigenstate is to be, for a given arbitrary, kinematically propagated, Kahler Hamiltonian Topological Manifold, the more likely that the resulting consequential tendency is to be, that the general tense of its eminently associated resolute pulsation, may therefore often tend to be spontaneously singularized, when in terms of its covariant corroborative resonant angular momentum, that is displayed time-wise. 

Let’s initially consider, two given arbitrary, different and unique, homomorphic super string-related fields. Next; Let’s say that these two different stated fields, are analogous, yet, one of such fields is more compact, knotting-wise, than the other of such fields. That sub string-related field, that is to implicitly work to bear, a more compact system of knotting, when taken holistically, for the individually taken implicit composite nodes of field entanglement, as taken at the Poincaré level to their Gliosis-Related surface, will often tend to be more isotropically stable, than the other of such fields, that is congruous, although exhibiting a less compact system of composite knotting, as taken among its nodes of field entanglement. 

Anharmonic molecular oscillations, often tend to work to form heat. This is often associated, with a set of one or more eminently corroborative molecules, that work to be exhibiting, a relatively net entropic condition. Whereas; Harmonic molecular oscillations, often tend to work to form sound. This is often associated, with a set of one or more eminently corroborative molecules, that work to be exhibiting, a relatively net charged condition.




Saturday, February 4, 2023

Spatial Dimensionality Of Neutrinos

In league with my particular model of string theory; Neutrinos tend to work to bear both a Riemann metric component, And, a Nijenhuis metric component. Although the Riemann metric component of a neutrino, tends to work to bear a lack of spatial dimensionality; The Nijenhuis metric component of a neutrino, tends to work to bear 12 spatial dimensions. This is facilitated, in part, on account of a phenomenology, that I call, the proximal local presence, of, "The Double-Helicit Calabi-Yau Manifold." For Instance; Do you recall how, at a reverse-fractal tense, DNA exists, as a double-helicit holonomy of topological manifold? Now; Take this down to the superstring-related level. Imagine a tense of a double-helix, yet, in this particular case, think of this in terms of the windings of superstring-related phenomenology. Even though such a supposed holonomic structure, were here, in a way, to have the workings, of a 12 spatial dimensional framework, the expressed nature of such a "double-helix" of a Calabi-Yau space, would work to form a tense of a Mobius-Related inter-relationship, as taken at the Poincare level, to the internal reference-frame of the relative Riemann vantage-point, when in relation, to the Poincare level of the internal reference-frame of the relative Nijenhuis vantage-point. Such an inferred tense, of a "Mobius-Related inter-relationship," would therefore have the tendency, of making the holonomic presence of the metric-gauge-related source, that is here to be of the angular momentum of such a neutrino, appear, via detection, to be "dimensionless," in spite of the physical condition, that at the perspective, that is Poincare to the internal reference-frame of the Nijehuis exhibition of such a neutrino, in a way, is here, instead, to be of a 12 spatial dimensional holonomic framework.THANK YOU! TO BE CONTINUED!SINCERELY, SAMUEL DAVID ROACH. 

Saturday, November 26, 2022

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. 

Wednesday, October 5, 2022

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.

Thursday, June 9, 2022

Alteration In Escalation Of Euclidean Expansion -- Metric Spur -- Formation Of A Set Of Metric-Based Chern-Simons Singularities

 When the rate of the escalation of the Euclidean Expansion of the spatially kinetic transference, that is of the Fourier-Related-Progression, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to alter in its scalar magnitude, this general kinematic process, may often tend to be eminently associated, with the formation of a metric spur, in the dimensional-related pulsation, that is here to tend to be eminently correlative, to an alteration in the scalar amplitude of the net wave-tug, that is here to be corroborative to the transversal "drive," of the directly corresponding net angular momentum, that is here to be primarily associated, with the general characteristic, of the Lagrangian-Based motion, that is of such a Noether-Based mass-bearing cohesive Hamiltonian Operator. Such an inferred general tense of a metric spur, may thereby often tend to be directly associated, with the corroborative formation, of a set of one or more correlative respective metric-based Chern-Simons singularities. SAMUEL ROACH. (1989).

Thursday, April 28, 2022

Fixed Spatial Dimensionality -- Metric Being Gauged

 In one particular tense of the expression; When the spatial dimensionality of a discrete energy quantum is fixed, one may often say, that the directly associated metric, that is here to be of such a stated discrete energy quantum, is here to be gauged. I WILL CONTINUE WITH THE SUSPENSE LATER! (1989). SAMUEL DAVID ROACH.

Saturday, April 16, 2022

Metric-Based Chern-Simons Singularities -- Incursion Of Lowered Isotropic Stability

 When a given arbitrary initially isotropically stable Noether-Based mass-bearing cohesive set of discrete energy quanta, is to ensue, in so as to spontaneously go into the general process, by which it is then to end-up working to bear, a set of one or more proximally local attributable metric-based Chern-Simons singularities, it will thereby consequently follow, that this general type of a case scenario, will often tend to result, in the general incursion of a lowered tense of isotropic stability, when this is in terms of the general resultant type of behavior, in which the initially inferred homomorphic characteristic, that is thence to be of the herein stated Noether-Based mass-bearing cohesive set of discrete energy quanta, is thereby to consequentially be decreased, in its scalar amplitude of effectual import. SAM ROACH. (PINCKNEY HIGH SCHOOL, 1989).

Thursday, April 7, 2022

Wavelength Of Gravitational Perturbation -- Generation/Degeneration Of Cohomology

 For discrete energy quanta, that are here to be directly associated with orientable superstrings of discrete energy permittivity, as taken over an evenly gauged Hamiltonian Eigen-metric; The more of a negative value, that is here to be most viably applicable, to a given arbitrary respective tense, of the equivocal "wavelength" of the attributable gravitational perturbation, the more that the directly associated Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be incurred upon, by the general workings of the proximal local respective tense of the "wavelength" of the said attributable gravitational perturbation, will consequently have the general tendency, of degenerating more cohomology, than it is here to otherwise be generating. It logically follows, that; For discrete energy quanta, that are here to be directly associated with orientable superstrings of discrete energy permittivity, the more of a positive value, that is here to be most viably applicable, to a given arbitrary respective tense, of the equivocal "wavelength" of the attributable gravitational perturbation, the more that the directly associated Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be incurred upon, by the general workings of the proximal local respective tense of the "wavelength" of the said attributable gravitational perturbation, will consequently have the general tendency, of generating more cohomology, than it is here to otherwise be degenerating. When there is no viably considered gravitational perturbation, from within the Noether-Based Ward-Cauchy-Related physical bounds, of a proximal local conformally invariant region, the directly associated "team" of mass-bearing energy quanta, that are here to be incurred upon, by the respective correlative affective gravitational force of a corroborative type of a case scenario, will often consequently have the general tendency, of generating as much cohomology, as it is here to be degenerating. 'TILL NEXT TIME; TO BE CONTINUED, LATER! SINCERELY, SAMUEL ROACH.

Tuesday, February 22, 2022

Smooth Ricci Flow -- No Lagrangian/Metric-Based Spurs

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear a smooth Ricci Flow, (to where, it is here to work to bear a flat Ricci Curvature), it will follow, that such a stated mass-bearing "team" of energy-related quanta, will thereby often tend to bear the general physical condition, in which it will often tend to neither work to bear any Lagrangian-Based spurs, nor, will it generally tend to work to bear any metric-based spurs, when this is here to be taken, in terms of the Lagrangian-Based flow, of the general energy-related tense of phenomenology, of which I have been in the process of  referring to, over the general course of the given arbitrary tense of a case scenario, that I have presented, in this particular post. (SAMUEL DAVID ROACH.) TO BE CONTINUED! (U OF M).I WILL CONTINUE WITH THE SUSPENSE LATER! 

Heuristic Calabi-Yau Manifold -- No Spurs In Its Motion

 A heuristic Calabi-Yau Manifold, tends to smoothly generate as much cohomology as it is to de-generate, as it is here to tend to bear no Lagrangian-Based spurs, and, such a stated heuristic Calabi-Yau Manifold, is also to work to bear no metric-based spurs, as well, over the course of its kinematic motion, via the durational course, of a correlative period of discrete time. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989 -- PINCKNEY, MI). 

Friday, December 31, 2021

Metric-Based Chern-Simons Singularity -- Perturbation From Unitary Pulse

 Just as a Noether-Based mass-bearing cohesive set of discrete energy quanta, that was here to initially be exhibiting the display of a unitary Lagrangian, is to ensue, in so as to be in the general process, of being pulled through the proximal local mappable locus, of a metric-based Chern-Simons singularity, the earlier stated unitary pulsation that was just mentioned, will consequently tend to bear a tense of perturbation. SAM.

Friday, December 10, 2021

Net Gauged-Action -- Tense Of Isotropic Stability

 If the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be isotropically stable spin-orbital-wise (which will consequently tend to mean, that it will work to be of a homomorphic nature, spin-orbital-wise), yet, not transversal-wise, then it will generally tend to be more likely, to work to bear a set of one or more Lagrangian-Based Chern-Simons singularities, than a set of metric-based Chern-Simons singularities. However; If the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be isotropically stable transversal-wise (which will consequently tend to mean, that is will work to be of a homomorphic nature, transversal-wise), yet, not spin-orbital-wise, then, it will generally tend to be more likely, to work to bear a set of one or more metric-based Chern-Simons singularities, than a set of Lagrangian-Based singularities. TO BE CONTINUED! SINCERELY, SAM ROACH.

Monday, August 16, 2021

Colliding Cohesive Sets Of Discrete Energy Quanta -- Initial De Rham Cohomology -- Chern-Simons Singularities

 When two different mass-bearing cohesive sets of discrete energy quanta, of which are here to each be initially working to bear the mappable-tracing of a De Rham cohomology, are to spontaneously collide in a Gliosis-Related manner, this general type of a Ward-Cauchy covariant kinematic action, will tend to work to form a Lagrangian-Based Chern-Simons singularity, at the inferred locus of collision, for both of such mentioned individually taken mass-bearing cohesive sets of discrete energy quanta, as well as the physical condition, that such a general type of a Ward-Cauchy covariant kinematic action, will, as well, Often tend to work to form a metric-based Chern-Simons singularity, again, at the inferred locus of collision, for both of such mentioned individually taken mass-bearing cohesive sets of discrete energy quanta. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989).

Wednesday, July 21, 2021

Entropy Versus Charge -- Chern-Simons Invariants

 When a mass-bearing cohesive set of discrete energy quanta, is to work to bear a correlative tense of rotational/radial spin-orbital tensors -- that are here to be directly associated, with the physical transference of such a stated set of discrete energy quanta, over time -- this general tendency, will therefore tend to work towards the physical condition, of such a said energy quanta, as working to bear the general characteristic of charge. Since when such a "team"of discrete energy quanta, is to work to bear a tense of rotational/radial spin-orbital tensors, it will constantly tend to be changing in its direction relative to light, -- then, such an inferred charged particle, will thereby tend to work to bear a perturbative tense of its directly corroborative Chern-Simons Invariants. (Since a constant change in direction involves a constant acceleration, even if the speed is to stay the same.) The directly associated anharmonic "output" of those metric-gauge eigenstates,  that are here to be externally delineated away from the eminent locus, at which such a general activity of a perturbation in Chern-Simons Invariants is to occur, is that correlative "dispersion," of which is here to be directly associated with the entropy that is here to be formed, in the process of the propagation of such a said mass-bearing cohesive set of discrete energy quanta. Whereas; The directly associated harmonic "output" of those metric-gauge eigenstates, that are here to be externally delineated away from the eminent locus at which such a general activity of a perturbation in Chern-Simons Invariants is to occur, is that correlative tense of potential "organized attraction," of which is here to be directly associated with the charge that is here to be formed, in the process of the propagation of such a said mass-bearing cohesive set of discrete energy quanta. TO BE CONTINUED! SINCERELY, SAMUEL.

Monday, June 28, 2021

Decompactified -- Anti-Holomorphic Manner

 When an initially sinusoidally transferred hermitian entity, that is here to act as a metric-gauge eigenstate, is here to spontaneously work to bear a general type of a perturbation in its spatial transference, in such a manner, to where it is thence to spontaneously decompactify in an anti-holomorphic manner, -- this will often tend to work to form, at the proximal locus at which such a general type of a perturbation is here to occur, both a metric-based Chern-Simons singularity And a Lagrangian-based Chern-Simons singularity. SAM. (1989).