Showing posts with label flat. Show all posts
Showing posts with label flat. Show all posts

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. 



Fractional Homotopic Transfer -- Convergence Of Force Upon A Hamiltonian Operator

 When the scalar amplitude of a given arbitrary tensor eigenstate of homotopic transfer, aside from its particular demarcated physically ascribed units, is to be mathematically depicted, in terms of a fractional value times a potentially latent constant, this may often, at times, be indicative, of the convergence of a force, upon the respectively inferred directly corresponding covariant Hamiltonian Operator, of which is here to be working to express, the hereupon implied general characteristic, of homotopic transfer, of which has been briefly conveyed of here. 

When the scalar amplitude of a given arbitrary tensor eigenstate of homotopic transfer, aside from its particular demarcated physically ascribed units, is to be mathematically depicted, in terms of a value greater than one times a potentially latent constant, this may often, at times, be indicative, of the divergence of a force, upon the respectively inferred directly corresponding covariant Hamiltonian Operator, of which is here to be working to express, the hereupon implied general characteristic, of homotopic transfer, of which has been briefly conveyed of here.

When the scalar amplitude of a given arbitrary tensor eigenstate of homotopic transfer, aside from its particular demarcated physically ascribed units, is to be mathematically depicted, in terms of a value of one times a potentially latent constant, this may often, at times, be indicative, of the steady-state  interaction of a force, upon the respectively inferred directly corresponding covariant Hamiltonian Operator, of which is here to be working to express, the hereupon implied general characteristic, of homotopic transfer, of which has been briefly conveyed of here. In this particularly just mentioned latter general case scenario, I call such a generic tense of a homotopy-related condition, the case, of a "flat" homotopic transfer. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.(1989.PHS.UM).

A cohesive system of frequencies, that works to bear a recursively intermittent expression of viably restrained isotropic stability, may often tend to bear enhanced torque. 

The more spontaneously hermitian, that the net piecewise continuous delineation is to be, for a kinematically propagated, Fourier-Related System, the greater that the probability will consequently tend to be, that such an implicit cohesive set, of interdependent vibrational oscillations, will thereby have an enhanced likelihood, of working to express the exhibition, of a tense of isotropic stability, over the general process of their progression. 

Heuristically gauged Fourier-Related Systems, often tend to be relatively less inhibited, by superfluous magnetic influences, than otherwise analogous Fourier-Related Systems, that instead, are metrically gauged. 

Highly heuristically gauged radial motion, that is accentuated by the incursion of synchronous sound, may often be capable, of working to facilitate a relatively enhanced tense, of Clifford-Based homotopic transfer, in the general process, of tending to augment, the eminently corroborative angular frequency. 

A transversally transmitted, macroscopic Kahler Hamiltonian Topological Manifold, that works to bear a relatively low scalar amplitude of heat generation, will often tend to exhibit, a relatively efficient Lagrangian. 



Wednesday, December 21, 2022

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

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

Flat Ricci Curvature -- Gauge-Invariance

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

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

Friday, November 18, 2022

Analogy To The Fujikawa Coupling

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

Friday, August 19, 2022

The Flow Of Charge -- Predictability

 The Flow of of a Noether-Based Charge, often tends to be more predictable in its corroborative behavior, when the directly associated proximal local Ricci Curvature, that is here to be eminently respective to the arena of space-time-fabric, that such a charge is to be kinematically differentiating at, over time, is to be of the general nature, of acting as a Flat Ricci Curvature. SINCERELY, SAMUEL DAVID ROACH. (1989).

Wednesday, May 18, 2022

Smooth Ricci Flow -- Flat Ricci Curvature -- More Succinctly Piecewise Continuous Cohomological Generation

 The smoother the Ricci Flow --  the more flat the Ricci Curvature -- the more Yau-Exact the correlative Hamiltonian Operator -- the more succinctly piecewise continuous the cohomological generation. SAM.

Wednesday, April 6, 2022

Wavelength Of Gravitational Perturbation

 When the given arbitrary Noether-Based wavelength of gravitational perturbation is zero, the directly corresponding  Ricci Curvature, is thence to be flat, and, the correlative Ricci Flow, will thereby tend to be smooth. When the given arbitrary Noether-Based wavelength of gravitational perturbation is less than zero, the directly corresponding Ricci Curvature, is thence to have a general tendency, of being eminently associated with a fractional value, and, the correlative Ricci Flow, will thereby tend to not be smooth. Furthermore; When the given arbitrary Noether-Based wavelength of gravitational perturbation is more than zero, the directly corresponding Ricci Curvature is thence to have a general tendency, of being eminently associated, with a value that is more than one, and, the correlative Ricci Flow, will thereby tend to not be smooth. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Wednesday, May 19, 2021

Most Ideally Suitable Gravitational Tense Of Field For Yau-Exact Conditions

 The general tense of a gravitational field is most ideally suitable, in order for a mass-bearing cohesive set of discrete energy quanta to be most facilitated -- in being able to generate as much cohomology as it is here to be degenerating, in a piecewise continuous manner, over a proscribed duration of time (as this is here to be considered, over the durational span of a sequential series of group-related instantons) -- when the directly corroborative respective Ricci Curvature, which is to be effectual for such an inferred set of energy quanta, is here to be of a correlatively Flat nature. (A Flat Ricci Curvature is Ideal, for the physical conditions to be present -- in which a directly corresponding mass-bearing cohesive set of discrete energy quanta, that is here to be directly applicable in such an inferred Ward-Cauchy-related environment, is thence to be most facilitated to be able to generate as much cohomology as it is to degenerate -- in a piecewise continuous manner, over a proscribed duration of time.) Heuristic Yau-Exact phenomenology, tend to be mass-bearing cohesive sets of discrete energy quanta, that are here to be of such a nature, to where these are to be generating as much cohomology as these are here to be degenerating, in a piecewise continuous manner, over a proscribed duration of time. Therefore; The general tense of a gravitational field is most ideally suitable, in order for a mass-bearing cohesive set of discrete energy quanta to be most facilitated, in being of a Yau-Exact manner of nature, when the directly corroborative respective Ricci Curvature, is here to be Flat. Therefore; A heuristic Yau-Exact manifold, tends to be of a mass-bearing cohesive set of one or more discrete energy quanta, that are here to be working to exhibit the correlative respective physical attribute, of being directly effected by a gravitational field, that is here to be displaying the condition of working to bear a Flat Ricci Curvature. To Be Continued! Sincerely, Sam Roach. (1989).

Thursday, May 13, 2021

Attenuated/Augmented Ricci Curvature

The given arbitrary covariant proximal local presence, of a cohesive set of inverted gravitational waves, often tends to be directly associated, with a Ricci Curvature, that is here to be attenuated, from a heuristically flat Ricci Curvature. Whereas; The given arbitrary covariant proximal local presence, of a cohesive set of amplified heuristic gravitational waves, often tends to be directly associated, with a Ricci Curvature, that is here to be augmented, from a heuristically flat Ricci Curvature. SAM ROACH. (1989).

Wednesday, February 10, 2021

Flat Ricci Curvature -- Tense Of Pressurized Vacuum

 With Noether-related phenomenology, -- a flat Ricci Curvature Tends to strike a balance, between the flow of co-tangentially directed Ward-Cauchy-related pressurized vacuum, And, the correlative flow of tangentially directed Ward-Cauchy-related pressurized vacuum. Sincerely, SAMUEL DAVID ROACH.

Saturday, January 16, 2021

Flat Ricci Curvature And De Rham Cohomology

 A cohesive set of discrete energy quanta, is more likely to work to map-out a De Rham cohomology, if the Hamiltonian Operand that it is here to be transferred through, is to work to bear a flat Ricci Curvature, -- than if such a said cohesive set of discrete energy is, instead, to be transferred through a Hamiltonian Operand, that is here to work to bear a spurious tense of a Ricci Curvature. To Be Continued! Sincerely, Samuel David Roach. 

Sunday, December 27, 2020

Escalating Lagrangian Of Euclidean/Clifford Expansion, Doesn’t Tend To Exhibit A Flat Ricci Curvature

 Any Noether-based mass-bearing cohesive set of discrete energy quanta, that is here to work to be displaying an escalating Lagrangian of a Euclidean/Clifford Expansion, during this process of such an inferred tense of an escalation,  will tend to not be capable of  working to exhibit the general physical condition, of bearing a flat Ricci Curvature. Sincerely, SAMUEL ROACH. (1989).

Saturday, January 19, 2019

Willmore Energy

Any set of discrete quanta of energy, that are spontaneously confined, from within what would here be -- a fully holographic or flat space (a Minkowski-related space, that is to exhibit up to a maximum of 26 spatial dimensions plus time), to where the Ricci Flow of the pertinent topological invariants, that are here to be of such a discrete quantum of energy, may be mathematically described of, as appertaining to the nature relating to:
+ or - ((The mean Gaussian curvature of the surface, that is of the respective cotangent bundle -- that is of such a case)
MINUS (The mean mobius-based curvature of the surface, that is of the respective cotangent bundle -- that is of such a case)).  (+ "out in front," for a Reimman tense of energy, or (- "out in front," for a Nijenhuis tense of energy.)  Generally, this will call for the explication of a Nijenhuis tense of energy.
Here, the said set of discrete quanta of energy, is to spontaneously remain as being of a flat Ricci Curvature, -- to where the said condition of mobiaty, that is of this respective given arbitrary case, is to remain spontaneously superconformally invariant, -- in so long as the correlative Ricci Curvature is to remain flat -- to where the said set of discrete quanta of energy, is to remain as being of a flat space, in so long as there is no external perturbative effect upon the dimensionality of the said set of discrete energy (space-time-fabric that is of a flat Ricci Curvature, is of a purely holographic tense of space) -- that is here in this case, to potentially take upon itself, an approximation of a round-like shape.
Spontaneously means here, that such a case would here to tend to remain as such, in so long as no other non-mentioned factors are to come into play.  Such a set of discrete energy, -- that is to be spontaneously kept as being of a flat space (maximum of 26 spatial dimensions), may be termed of as being here as an example of a "Willmore Energy."  A Willmore Energy, is a manner that is to be taken at a Ward-Cauchy-related level -- by which one is to be able to work at distinguishing the difference between a given actual displayed tense of energy, versus a theoretical completely spherically round tense of energy.  Since I perceive that the space-time-fabric that is of one individually taken set of parallel universes, works to bear a total of 32 spatial dimensions plus time, I have concluded that not all confined spaces are of a flat-space or holographic nature.  Furthermore -- I perceive there are three sets of parallel universes, with one time dimension in common among these, -- since there is only one space-time-continuum.  It then makes sense to me, that Space-Time-Fabric is Volumed space overall.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, October 23, 2018

Compleltion Of The Rarita Structure -- Forces

Do you remember me mentioning to you on this blog, something to the effect of (but not specifically this exactly, though) -- that the multiplicit light-cone-gauge eigenstate acts as the 'opening phenomenology' of the Rarita Structure, and that the multiplicit gauge-bosons act as the 'closing phenomenology' of the Rarita Structure?  Furthermore, it is those vibrational oscillations that are formed, by the plucking action of the multiplicit gauge-bosons upon the correlative multiplicit second-order light-cone-gauge eigenstates (which is here to form the here correlative Schwinger-Indices) -- that work to behave, in so as to work to form the exhibition of the four general forces of nature (these of which are -- the strong force, the electromotive force, the gravitational force, and the weak force).  This said plucking activity by the so-eluded-to E(6)XE(6) strings (these just mentioned strings of which act as the said gauge-bosons), works, as well, to help at making what would otherwise be a maxed-out Minkowski or holographic space (flat space), to instead, be a Hilbert or volume-based space.  (This would then work to help at making a 26 spatial dimensional world, instead, be a 32 spatial dimensional world -- for each of the three individually taken sets of parallel universes, that are here to exist in time and space.)  So -- it is the very nature, as to what helps to work to make a maxed-out flat-based space behave, instead, as a maxed-out volumed space, -- that works to form those vibrational oscillations, that are here to ripple along the Rarita Structure -- in so as to work to influence, as to what the correlative exhibitions are to be, as to the corresponding display of the four physical forces of space and time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Saturday, September 22, 2018

Part Two As To Solitons

If a Ward-Cauchy-related phenomenon, is of such a nature, to where it may be described of here as being a soliton, The following must tend to hold as being true:

1) Those eigenstates, that work to directly correspond to the cotangent bundle of said soliton -- will work to eminently involve, what may be described of here as Li-based spaces.

2)  The said phenomenon will work to describe a set of eigenstates, whose Stoke's-related indices, will be both individually taken as well as being group-taken, -- as an integrative set of holographic spaces, that are of a cotangent bundle, that will work here to be of an overall scenario, that is of a maximum of 26 spatial dimensions plus time.  (Since this is of a Minkowski or of a flat-spaced Ricci curvature, -- and flat-space is of a maximum of 26 spatial dimensions plus time.)

3)  As such a said phenomenon is to be a soliton, the absolute value of its Beti number will not vary here, -- when this is taken for those individually taken superstrings, that work to help in forming the said soliton.

&4) The Fourier-related activity of the said soliton, will work to form a given arbitrary homology-based setting -- that is of either a symplectic tense of homology (a cohomology), or, of a Legendre tense of homology (Khovanov), -- that will be mappable, as going into a certain given arbitrary tense of a holomorphic motion, that is here to be propagated, over the spacing of a flat or a Minkowski-related Hamiltonian operand, over time.

A Little As To Solitons

A Soliton -- is a Ward-Cauchy-related phenomenon, that:
1) is of a complex manifold, M.
2) works to bear a flat Ricci field curvature, that is not compact. (Which is of a Minkowski-related nature.)
&, 3) works to bear a delineation-based Hamiltonian operation, that works to distribute a holomorphic vector field over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.