Showing posts with label Ward-Cauchy. Show all posts
Showing posts with label Ward-Cauchy. Show all posts

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. 




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, March 20, 2023

Covariant Isotropically Stable Kahler Manifolds

 When two different proximally adjutant covariant isotropically stable Kahler Manifolds, are here to work to bear an interdependent tense, of a dual gauged spin-orbital momentum, when in co-relation to one another, it will often follow, that both of these two different inferred individually taken Kahler Manifolds, will often tend to consequently work to spontaneously express an asymmetric radial flow, of which is here to bear an anti holomorphic tense of spin, when this is here to be taken, at the Poincare level to the Ward-Cauchy-Related field, that is here to be co-determinable in its covariant proximal local presence, as taken at the vantage-point of its mappable general locus, at the immediately externalized region, which is of such an insinuated co-differentiable Ward-Cauchy-Related field. SAMUEL DAVID ROACH. (PHS1989).

A Kahler Hamiltonian Operator, that works to exhibit a relatively strong covariant tense, of a recursively propagated Poincare delineation, may often tend to exhibit, a relatively enhanced tense, of an inertial-based flow.

A superstring of discrete energy permittivity, that works to express a unitary Lagrangian, may often tend to work to exhibit, a monomial tense of point-fill.  A superstring of discrete energy permittivity, that works to express a binary Lagrangian, may often tend to work to exhibit, a binomial tense of point-fill. Furthermore; A superstring of discrete energy permittivity, that works to express a tertiary Lagrangian, may often tend to work to exhibit, a trinomial tense of point-fill.  

A kinematically propagated Kahler Hamiltonian Operator, that works to bear, both a relatively strong momentum- related Fourier- Related-Progression, &, a relatively strong  inertia-related Fourier- Related-Progression, will often tend to spontaneously work to exhibit, a relatively enhanced general physical characteristic, of expressing an eminently associated “deep” tense, of acting as a compact hermitian topological manifold.  

A recursively spinning, isotropically stable, steady-state, Kahler Hamiltonian Operator, may often tend, to emit a steady charge.

When the Lagrangian-Based motion, of a kinetically transferred Kahler Hamiltonian Operator, is to work to bear, a relatively strong physical attribute, of exhibiting a succinct Fourier-Related-Progression, this may often tend to be eminently associated, with the spontaneous proximal local physical characteristic, of the demonstrative expression, of a strong Heuristic-Based pulse. Furthermore; When the Lagrangian-Based motion, of a kinetically transferred Kahler Hamiltonian Operator, is to work to bear, a relatively strong physical attribute, of exhibiting a resolute Fourier-Related-Progression, this may often tend to be eminently associated, with the spontaneous proximal local physical characteristic,  of the demonstrative expression, of a strong Metric-Based pulse. 

A harmonically oscillating Calabi-Yau Manifold, may often tend to spontaneously emit a hermitian charge.

A sporadically accelerating Kahler Hamiltonian Operator, will generally tend to not be gauge-invariant.  

The more refined, that the eminently associated, Yau-Exact behavior, is to be exhibited as, when in terms of the kinematic activity, of an eminently associated, given arbitrary Kahler Hamiltonian Operator, the more succinct, that the directly related, Fourier-Related-Progression, may often tend to be expressed as, when over the course of time.  

The more isotropically gauged, that the Kahler-Metric is to be exhibited of as expressing, when taken over the course of time, the more resolute, that the proximal local gauge-invariant physical condition, may often tend to be thereupon demonstrated as being, when in terms of the behavior, of the eminently associated, Fourier-Related-Progression, that is here to be of such a case scenario.  

The stronger that the fractal modulus is to spontaneously be, that is of a given arbitrary (Kahler-Based) conductor,  the more amperage, that it may often tend to be able to sufficiently handle, without any viable damage being done, to its eminently related structural integrity. Whereas; The stronger that the elastic modulus is to spontaneously be, that is of a given arbitrary (Kahler-Based) conductor, the more voltage, that it may often tend to be able to sufficiently handle, without any viable damage being done, to its eminently related structural integrity. An eminently associated material, that meets these implicit requirements, when under the physical auspices, of recursive anti gravitational conditions, is potentially ideal, for being able to travel tangentially into outer space, at great speeds, as well as being potentially ideal, for being crucially associated, with the facilitation, of working to form an artificial worm-hole, without any needed Stargate. 

A strong incursion of anti gravity, as imparted upon the eminent field, of a corroborative Kahler Hamiltonian (Operator), may often spontaneously tend to consequently result, in a spontaneously respective heightened Slater-Based Incursion, as imparted upon the topological manifold, of the eminent field, that is here to be directly associated, with the covariant spatial differentiation, of the mentioned corroborative physically transferred, kinematically propagated, Kahler Hamiltonian (Operator).  

Generally Speaking: Lucent thought, may often tend to work to involve, an eminent interaction, between thought waves and imagination waves. Whereas; Cognitive thought, may often tend to work to involve, an eminent interaction, between thought waves and free-will waves.


Saturday, March 18, 2023

Net Homomorphic Hamiltonian Operator -- Kahler Manifold

 A Ward-Cauchy-Related kinematically differentiable topological manifold, that is here to behave as a net homomorphic Hamiltonian Operator, when proximal local to the physical presence of a Ricci Flat gravitational environment, will often tend to act as a Kahler Manifold. SAMUEL ROACH.(PHS1989).

Neutrinos often tend to act, in so as to “automate” gauge-bosons, to thenceforth work to attract the forces of nature.

The stronger the Slater-Based Incursion, the greater the holomorphic angular frequency tends to be.    

For a Noether-Based Kahler Hamiltonian Operator; The more isotropically stable, that the net discrete energy impedance is to be, the more spontaneously homomorphic, that the flow of its pulse, will consequently tend to be.  

Interacting Hess States, that are proximal local to the externalized topological surface, of a discrete increment of electromotive energy, will often tend to primarily express, a gauge-action force-like incursion, upon the general realm, of its immediately external physical environment. 

The more spontaneously resolute, that the Fourier-Related-Progression is to be, for a given arbitrary spinning De Rham Kahler Hamiltonian Operator, the more recursively stable, that its eminently associated dimensional-related pulsation, will consequently tend to be.  

Substringular resolute behavior, may often tend to be indicative, of a viable tense, of Ward-Cauchy-Based cohesion.  Furthermore; Substringular succinct behavior, may often tend to be indicative, of a viable tense, of Ward-Cauchy-Based kinematic efficiency.  

The more piecewise continuous, that the Yau-Exact behavior, of a given arbitrary Kahler Hamiltonian Operator, tends to be exhibited as, the more harmonically incurred, that its eminently associated Polyakov Action, may often tend to be expressed as.  

A Kahler Hamiltonian Operator that is Yau-Exact, will often tend to respond more readily, to the spontaneous proximal local incursion, of an anti gravitational force, than an otherwise analogous Kahler Hamiltonian Operator, that instead, is not Yau-Exact.  

The more efficient that a given arbitrary Calabi-Yau Manifold is to be, at generating as much cohomology as it degenerates, the more viably that it may often tend to be able to display, a prominent likelihood, of spontaneously perturbating, ( as taken, over the general course of its inherent capacity of responding effectively), in response to the physical introduction, of a given arbitrary eminent spontaneous incursion, of a covariant co-tangentially delineated tense, of anti gravitational force, that is here to be interdependently interacting, with the net holonomic field eigenstate, of the said Calabi-Yau Manifold.  

At the eminent point in time, in which a given arbitrary Kahler Hamiltonian Operator, is to just be spontaneously altering, from working to exhibit a Floer (co)homology, into then working to exhibit a Heegaard (co)homology, it may thereupon often be the case, that at that implicit point of transition, the earlier stated Kahler Hamiltonian Operator, will often tend to consequently result in, at least temporarily, spontaneously working to bear, an anharmonic tense of inertial-based pulsation. Furthermore; At the eminent point in time, in which a given arbitrary Kahler Hamiltonian Operator, is to just be spontaneously altering, from working to exhibit a Heegaard (co)homology, into then working to exhibit a Floer (co)homology, it thereupon may often be the case, that at that implicit point in transition, the earlier stated Kahler Hamiltonian Operator, will often to consequently result in, at least temporarily, spontaneously working to bear, a harmonic tense, of inertial-based pulsation.  

Homotopic Residue may often tend to be conserved, when the net scalar magnitude, of the holonomic quantum of cohomological generation, is equal to the net scalar magnitude, of the holonomic quantum of cohomological de-generation, as taken in a piecewise continuous manner, over an even duration of time.  

Magnetism is: 

The multiplicity of the Rarita-Associated wave-tug, that is viably imparted, upon the general venue of discrete energy quanta, that is formed by the (co)tangential output, of the eminently associated multiplicity of recalibrated Chern-Simons Invariant gauge-actions, of which are thenceforth formed, by the kinetically transferred Lagrangian-Based motion, of spinning individually taken teams of discrete energy (generally mass-bearing), that are here to be spontaneously physically exhibiting the general physical operation of the  “i*PI(Del) Action,” as taken via its eminently associated Fourier-Related-Progression, over a viably proscribed duration of time, in the general course of the eminently associated recursively piecewise continuous process, in which cohomology is here to be cyclically going, back-and-forth, from a state of holonomic generation, into a state of holonomic de-generation.

A Floer cohomology often tends to have the general capacity, of being able to become Yau-Exact. Whereas; A Heegaard cohomology often tends to lack the general capacity, of being able to become Yau-Exact. 

A spurious, Lagrangian-Based Path, that is harmonically mappable, may often tend to be eminently associated, with a Kahler Hamiltonian Operator, that works to bear less entropy, than the implicit workings, of an otherwise analogous, kinetically differentiating, Kahler Hamiltonian Operator, that instead, is anharmonic, in the kinematic delineation, of its eminently associated, mappable tracing.

As a gentle reminder, in different words; Kinematically propagated, Harmonic, recursively recalibrated, Chern-Simons Invariant, Gauge-Action-Related Output, as delineated, from the covariant core-field-density, of a kinetically transferred, Kahler Hamiltonian Operator, generally tends to be eminently associated, with the reductional process, of electromotive charge generation.  

When a Chern-Simons Pulsation is resonating, its internalized cohomology-related topological framework, may often tend to work to bear, certain attributes, with the likings of a Dolbeault construct, as taken at a Laplacian. 

When an interdependent set of coefficients, that heuristically act as a net polynomial coefficient, in which such a mathematical expression, is to be internally comprised of, by at least one individually taken complex monomial coefficient, to where the earlier stated net polynomial coefficient, is here to be coupled with a mathematical operator, that is eminently of a Real Riemann-related nature, in which the resulting solution, is here to work to indicate the proximal local presence, of a cohomology-related eigenstate, it may often occur, that the consequentially expressive cohomology that is thereby to be mathematically indicated, will tend to bear a significant likelihood, of being of a general exhibited tense, of a Dolbeault cohomology, as mappable at a Laplacian.  

The general coupling, of the recalibration energy, that is of the eminently associated net Chern-Simons Invariant gauge-action, with the directly corresponding frequency, of such a respective recalibration, may often tend to facilitate the formation, of the power of the net wave-tug, of the corroborative implicit dispersive quantum permittivity. Whereas; The general inverted coupling, of the recalibration-related net Chern-Simons Invariant gauge-action, of its corroborative Lagrangian-Based spur, with its respectively demonstrative  eminently associated i*PI(Del)Action, the general process of which is here to often tend to form, as the implicitly anharmonic propagated Hamiltonian (Operator), is here to be changing in more derivatives, than the number of spatial dimensions that it is transferred through, may often tend to facilitate the formation, of the power of the net wave-tug, of the corroboratively implicit dispersive, quantum impedance.  

Wormhole spatial transference, may often tend to translate, a net Hilbert Space into a net Minkowski Space, as going into the general eminently associated implicit process, while then subsequently working to translate the stated net Minkowski Space, back into a net Hilbert Space, wile exiting the general eminently associated process, of the mentioned Wormhole spatial transference.  










Friday, March 10, 2023

When The i*PI(Del) Action Tends To Be Effectual

 The i*PI(Del) Action tends to be effectual, when Ward-Cauchy-Related Chern-Simons Invariant Gauge-Actions are being re-calibrated. Chern-Simons Invariant Gauge-Actions tend to be re-calibrated, when the speed and/or direction of a mass-bearing Hamiltonian Operator is to change, relative to the motion/existence of electromagnetic energy. SINCERELY, SAMUEL DAVID ROACH. 

A given arbitrary De Rham, Lagrangian-Based mappable-tracing, that is of the eminently associated projected path, that is here to be spontaneously delineated, by a corroborative set, of covariant energy-related eigenstates, may often tend to be involving, a harmonic flow, of cohomology-related Hess States. Whereas; A Dolbeault Lagrangian-Based mappable-tracing, that is of the eminently associated projected path, that is here to be spontaneously delineated, by a corroborative set, of covariant energy-related eigenstates, may often tend to work to involve, a sporadic flow, of cohomology-related Hess States.This is here to tend to be taken, at a Laplacian.

 The smaller that the wavelength, of a kinematically propagated thought wave, happens to be, to where such a wave, is here to be of a proscribed transversal rate of delineation transfer, the Greater that its eminently associated Frequency, will often spontaneously tend to be — to where such an implicit relatively high frequency thought wave, will often tend to consequently result, in having a greater import, than an otherwise analogous thought wave, that instead, is of a greater wavelength.  

The kinematic “behavioral” propagation, of the eminently associated general physical attribute, of the fundamental workings, of a p-adic cohomology-related scenario, may often tend to be linked, situation-wise, to the thereupon proximal local presence, of a relatively enhanced scalar magnitude, of a viable degree/amount, of physical entropy.  

What is most reductional associated with the general concept of, “the non abelian vector bundle,” may often tend to be eminently associated, with the tantamount behavioral characteristics, of the general physical phenomenology, of the holonomic Lagrangian -Based differentiation, of ultraviolet radiation, over a timeframe. 

The more spontaneously resolute, that the Fourier-Related-Progression, of an eminently associated, Kahler Hamiltonian Topological Manifold, tends to be, the greater that the expectation value will consequently tend to be, that such a stated Kahler Hamiltonian Topological Manifold, will more likely exhibit, the general physical characteristics, of a gauge-invariant phenomenology. 

A typical sub-atomic mass-bearing topological manifold, may often tend to be relativistically super conformal invariant, when taken at an internal reference-frame, that may be thought of as viably delineated, in a flush metrical span, as this is to be considered, from within a gauged distance of 25 Planck Lengths of the “shell,” which is of the eminently associated mass-on-shell structure, that is corroborative to the covariant externalized entity, of a given arbitrary eminently related Laplacian-Based “snapshot,” of the here to be, viably associated, kinematically propagated mass-bearing holonomic substrate, of net energy-related eigenstate. One may also consider, the added stipulation-related implicit physical feature, that the cross-sectional thickness, of the actual earlier implied “shell,” may often tend to have a minimal flush metrical span, of one Planck-Bar Length, as this latter mentioned general phenomenon, is appertaining to the radial sway, of one Planck-Related Phenomenon. 

The hermitian flow of perturbative pulsation per energy, often tends to intertwine the commutative “communication,” amongst eminently corroborative physical waves, in so as to facilitate a fostering, of a smoothly expansive Lagrangian-Based Trajectory, in which the eminently corroborative Fourier-Related-Progression, is thence to be spontaneously altering smoothly, in a piecewise continuous manner, over a duration of time. 

A highly adhesive, hermitian Fourier-Related-Progression, will often tend to be eminently associated, with the likings, of a conductive, isotropically stable, homomorphically oriented, De Rham Hamiltonian Topological Manifold.


Monday, February 20, 2023

Floer Co(Homology) -- Homotopic Transfer

 The reverse-fractal effect of a Floer (co)homology, given the Ward-Cauchy-Related situation, may often be potentially be capable of working to express, either a flat tense of homotopic transfer, a divergent tense of homotopic transfer, or a convergent tense of homotopic transfer. TO BE CONTINUED! SAMUEL.

A Kahler Hamiltonian Operator, that works to exhibit a Floer (co)homology, may often tend to behave, as acting more along the lines, of being a covariant compact topological manifold, than an otherwise analogous Kahler Hamiltonian Operator, that instead, is of a Heegaard (co)homology-related nature.  

When a Slater-Based Incursion is imparted, upon the physical substrate, of a heuristically gauged Kahler Hamiltonian Topological Manifold, this general type of a case scenario, will often tend to eminently work to involve, the spontaneous corroboration, of a delineated tense of homotopic restraint, as consequentially impelled upon the covariant region of implicit net contortion eigenstate, to where the thereunto resultant implicit alteration in velocity, of which such an inferred team of mass-bearing energy eigenstates is here to more than likely be performing, is therefore to tend to be controlled in at least a semi piecewise continuous manner, to where the more Gliosis that such a Slater-Based Incursion is to be imparted in spontaneous implementation, the more intricate that the physically restraining controls will often tend to be, that here help to enhance the resulting capacity, of a piecewise continuous flow, of explicable contortion-based symmetry.

The utilization of a harmonic distributional delineation, of a consonant vibration of vowel sounds, may often tend to bear the capacity, of being able to facilitate, a relatively smooth spatial translation, of anti gravitational force. 



Sunday, February 19, 2023

Helicity Of Neutrino-Related Frequency

 The stronger of a helicity that a neutrino-related frequency tends to display, the more concise of a projected gauge-trajectory, that such a given arbitrary example, of such a general type of a Ward-Cauchy-Based frequency, will consequently tend to work to be incurred, upon the general holonomic stratum of the Rarita Structure. TO BE CONTINUED, LATER! SINCERELY, SAMUEL DAVID ROACH.(1989).

Relatively non pressurized, adhesive, multi state frequency inclusion, has the general tendency, of working to form a tense, of proximal local harmony. — Whereas; Relatively pressurized, dispersive, multi state frequency inclusion, has the general tendency, of working to form a tense, of proximal local discord — as over its respective Fourier. 

Spin-Orbital-Related pulsation per kinetic energy, is Clifford-Based Fourier-Related-Progression. Such a respective tense of Progression, often tends to effectively escalate in its Lagrangian-Based Expansion, when it works to bear a relatively viable Gliosis-Based Incursion. Transversal-Related pulsation per kinetic energy, is Euclidean-Based Fourier-Related-Progression. Such a respective tense of Progression, often tends to effectively escalate in its Lagrangian-Based Expansion, when it works to bear a relatively viable Slater-Based Incursion. 

An equipoise between sound and resonant vibration, may often tend to facilitate the spontaneous formation, of transversal motion, in terms of the net Kahler Hamiltonian. 



Thursday, February 16, 2023

A Particular Genus Of Ward-Cauchy-Related Velocity

 The Yukawa Coupling, between the metric-gauge of a given arbitrary Hamiltonian Operator, and its directional frequency of motion, may often tend to work to form, a particular genus, of a Ward-Cauchy-Related velocity. TO BE CONTINUED, LATER! SINCERELY, SAMUEL DAVID ROACH.

Thursday, January 19, 2023

Smooth Homotopic Topological Manifolds -- Aerodynamics

 Smooth Ward-Cauchy homotopic-related topological manifolds, particularly when in the proximal local presence of an anti gravitational field, have the general physically attributable characteristic, of tending to have a probability, of working to bear the general tense, of expressing relatively high aerodynamic-related qualities. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAMUEL.

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).

Saturday, January 14, 2023

The Hitchin Modulus

 One may think of the substring-related version of a fractal/elastic modulus, as taken at the Ward-Cauchy-Based level, to be a phenomenology, which may be termed of as being, a Hitchin Modulus. SAM.

Monday, January 9, 2023

Riemann-Casimir-Invariant-Coupling

 When Ward-Cauchy-Related eigenstates are to bind, in so as to help facilitate the net homotopic inter-webbing of the multiplicity of superstring-related phenomenology in the cosmos, I call this general operation, the Riemann-Casimir-Invariant-Coupling. (The  R-C-C gauge-metric). SAM ROACH.

Friday, January 6, 2023

Ricci Flat Hermitian Flow Of Laplacian-Based Topological Variance

 When a Ricci Flat Ward-Cauchy-Related Complex Manifold, is to work to bear a homogenously distributed hermitian flow, in its respective Laplacian-Based topological variance, such a stated Complex Manifold, will thereby often tend to work to bear the general physical characteristic, of expressing the nature, of a directly associated tense of the Kahler-Metric. TO BE CONTINUED! SAM ROACH. 

Tuesday, January 3, 2023

Majorana-Weyl-Invariant-Mode -- Kahler-Metric

The multiplicity of the Majorana-Weyl-Invariant-Mode,  often tends to be less "bogged-down," when this is here to be eminently influenced, by a relatively heightened scalar attribution, of a Kahler-Related set, of Ward-Cauchy affiliated physical conditions. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Sunday, December 18, 2022

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

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

Wednesday, November 16, 2022

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

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

Tuesday, November 15, 2022

Lagrangian Operational Indices -- Gauge-Metric Eigenstates

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

Holonomic Operational Indices -- Metric-Gauge Eigenstates

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

Monday, November 14, 2022

Part One Of Gravitational Topological-Variance

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

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

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

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

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

Monday, November 7, 2022

Asymmetric Spin, Of Adjacent Holonomic Mass-Bearing Phenomenology

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