Monday, January 31, 2022

As To A Nijenhuis Cohomology

 The mappable-tracing, that is of a theoretical Laplacian-Based potential mappable-placement, that is of a given arbitrary Nijenhuis cohomological topological structure, in the eminently viable realm of super-string-related phenomenology, will often tend to potentially work to bear a complex orthogonal Ward-Cauchy-Related delineation, from the correlative topological structure, of an otherwise analogous cohomological mappable-tracing, that is here to be directly relating, to a correlatively theoretical potential Laplacian-Based topological manifold of a cohomological structure, that is here to often tend to have a relatively high probability, of working to bear a Laplacian-Based covariant tense of a co-differentiable association, that is here to work to bear a theoretical tense, of working to form the general Ward-Cauchy-Based association, of having the covariant dual inter-relationship, in which both of such theoretically delineated cohomological structures, are often here to thence have the general inter-relative quality, of working to bear the generic tense, of exhibiting the display of a potentially viable Ward-Polarized inter-relationship. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Rayleigh Scattering Incurred Upon Set Of Discrete Energy Quanta

 When a Rayleigh scattering is to be directly incurred, upon an initially given arbitrary isotropically stable Noether-Based mass-bearing cohesive set of discrete energy quanta, this general respective tense of an inferred interaction, will often tend to work, to incur an anharmonic dissemination, of that particular stratum of covariant given arbitrary directly corresponding eigenstates, that had initially worked, in a recursively indistinguishably different tense, of an iterative manner of alteration, in so as to help such an inferred "team" of mass-bearing discrete energy quanta, to have had initially exhibited the display of an isotropically stable Ward-Cauchy-Related behavior. TO BE CONTINUED! SAM ROACH.

More Discussion, As To The General Concept Of A Recursively Smooth Ricci Flow

 When it is said, that there is to be the proximal local presence, of a recursively smooth Ricci Flow, this means, that there is here to be present, a Noether-Based cohesive set of discrete energy quanta, that is to be working to exhibit the display, of a demonstrable Ricci Flow, that is here to be consistently stabilized, in a conformally invariant manner, at the same scalar-based value. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Sunday, January 30, 2022

In Relation To Negative Scalar Values For The Ricci Flow

 Let us say, one is here to have a given arbitrary general case scenario, in which the Ricci Flow is to work to bear a Negative Scalar Value, to where, one is here to be situationally considering a respective comparison, that is to be taken between a random number of different individually taken cases, in which the physical attribute of the respective multiplicity of the Ricci Flow, is to be analogously covariant in every other manner, except for what the particular specific scalar value happens to be, in so as to work at helping to determine, the consequential desired equatable scalar magnitude, that is here to be of the given arbitrary different generic variances, that are to be of the respective scalar values of the coherently viable cohomology-related eigenstates, that are here to directly appertain to these particular inferred different individually taken covariant cases, that are again, to be appertaining only to those Laplacian-Based changes, that are here to be of the correlative variances between the respective values of the Ricci Flow. Hereunto; If the Absolute Value of the scalar value, that is here to be of any one of such certain general case-related scenarios, that are here to be related to the physical attribute of the "Ricci Flow," to where this just stated physical quality, is to be of a relatively large scalar magnitude, then, this will often tend to result in such a manner, to where such a respective given arbitrary tense of a case scenario, will thereby work to involve a situation, in which the scalar magnitude of the potentially correlative abelian cohomology-related eigenstate, will consequentially be of a larger scalar value, then the scalar magnitude of a directly comparative analogous potentially considered non abelian cohomology-related eigenstate. Furthermore; If the Absolute Value of the scalar value, that is here to be of any of one of such certain general case-related conditions, that are here to be related to the physical attribute of the "Ricci Flow," is to be of a relatively small scalar magnitude, then, this will often tend to result, in such a respective given arbitrary tense of a case scenario, to work to involve a situation, in which the scalar magnitude of a directly comparative analogous potentially considered non abelian cohomology-related eigenstate, will consequentially be of a larger scalar value, then the scalar magnitude of a directly comparative analogous potentially correlative abelian cohomology-related eigenstate. TO BE CONTINUED! SAM.

Saturday, January 29, 2022

Innate Direction Of Cohesive Set Of Mass-Bearing Energy -- Holomorphic Direction

 The innate direction, of which the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is inherently to be tugged into, -- when given the intrinsic Ward-Cauchy-Related differential geometry, of both the topological manifold of the core-field-density of such a stated set of discrete energy quanta, and, its immediate surroundings, will often work to strongly influence the inherently eminent holomorphic direction, of which such an inferred "team" of discrete energy, is consequently to be prone into being propagated into, over the course of a directly corresponding duration of discrete time. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM.

Friday, January 28, 2022

Makes Me Wonder -- A Mathematical Idea About Cohomology

 The following is something, about potentially being able to mathematically determine, what the scalar-related value of a cohomology-related eigenstate may be ascribed to as, when given a certain set of initially potentially plausible bounded considerations. As analogous to the request that I had mentioned before, please let me know whether or not this math is making a reasonable amount of sense or not. Either way, it would be wonderful if you could, as well, have a viable logic to support your conclusive thoughts of judgmental conclusion. Anyways, here is an elaboration, of what has been going on about this in my mind, about this stated insinuated topic:

Let us initially say, that one is to wish to determine the scalar-related value, of a non abelian cohomology-related eigenstate, that is here to be directly appertaining to the Lagrangian-Based flow, of one discrete quantum increment of transversal energy. Let us now say, that one is also to need to know, the correlative Length of the Lagrangian-Based trace, that is to be "treaded upon," by the stated individually taken discrete unit of transversal energy, over the course in which the eigenstate that is here to be in the process of being determined, is to be "latched" upon the physical stratum, of the topological manifold of such a stated discrete increment of energy, in such a manner, to where it is here to not be in the process of being indistinguishably replaced. The equation that I came up with, for determining the Real Riemannian component, of such a general genus of a scaler value of a non abelian cohomology-related eigenstate, is:

(The Planck Constant)*(The pertinent length of the Lagrangian-Based Trace)

*(The Sine Of (e^(The Ricci Flow)))/(The number of consecutive instantons in which such an eigenstate is to be attached, without being replaced in an indistinguishably different manner).

Furthermore; 

If one is to wish to determine the Nijenhuis component of an otherwise analogous eigenstate, then, such a general type of a related value, is simply as before, EXCEPT times "i." ((-1)^.5.)

And/Or Furthermore; 

If one is to be determining an analogous value, that is, instead, to be of the discrete radial tense, then, divide the potential scalar value, of the cohomology-related eigenstate to be determined, by 2PI.

And/Or Furthermore;

If one is to be determining an analogous value, that is instead, to be of an abelian cohomology-related eigenstate, then, Utilize (The Cosine Of (e^(The Ricci Flow))) INSTEAD OF (The Sine Of (e^(The Ricci Flow))). 

Some time soon, I will describe to you specific general examples of these case scenarios, in order to be able to help you to better understand, what has been going on in my mind better. Sincerely, SAM.


Wednesday, January 26, 2022

A Curious Mathematical Thought I Would Like To Run By You

 The following is a mathematical stipulation, that I have recently thought of. Please let me know if you think that this makes an adequate amount of sense or not.:

I potentially derived, that:

[(I*PI*(The del of the Ricci Flow)] = [(-PI^2)*(the sine of (e^(Ricci Flow)))]. 

If this is accurately the case, this seems to tell me, that:

The holonomic stratum, that works to eminently help, at allowing for the functionality of the I*PI(Del) Action, may often tend to be proportional to, [(-PI^2)*(the sine of (e^(Ricci Flow)))]; And:

The Lagrangian-Related stratum, that works to eminently help, at allowing for the functionality of the I*PI(Del) Action, often tends to be proportional to, [(I*PI^2)*(the sine of (e^(Ricci Flow)))].

Therefore; It follows, that:

The general restraining "force," that may be directly associated, with the reductional operation, of the general phenomenology of metric-gauge-related pulsation, may often tend to be proportional to:

[(-1)/(the sine of (e^(Ricci Flow)))]; Whereas, 

The general restraining "force," that may be directly associated, with the reductional operation, of the general phenomenology of gauge-metric-related pulsation, may often tend to be proportional to:

[(i)/(the sine of (e^(Ricci Flow)))].

I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Tuesday, January 25, 2022

Homogeneous Diffusion Of Harmonic Metric-Gauge-Related Eigenstates

 The more homogeneous that the diffusion of those correlative harmonic metric-gauge-related eigenstates, which are here to be tangentially inversely dispersed, as such stated eigenstates are here to be propagated, as away from the proximal local covariant Noether-Based mass-bearing cohesive set of discrete energy quanta, that is eminently at cause for such an inferred tangentially directed emission,  as such an inferred set of emitted eigenstates, are here to act as the resultant kinetically flowing respective harmonic output, that is thence to often tend to be formed, by the directly associated kinematically viable recursive perturbation of those Chern-Simons Invariants, (which are actually only "invariant," when both the exact speed and the exact direction of the directly associated mass-bearing "team" of energy, is to remain constant, when this is here to be taken in relation to the motion of electromagnetic energy), that are here to work to bear such an inferred tense of alteration, when there is here to be any change in the motion of such a stated cohesive set of discrete energy quanta, when in regards to its directly associated Lagrangian-Based modus of action in relation to "light"; Then and thereby, -- such a given arbitrary case scenario, will quite often tend to work to allow, for a relatively "even-keel" of charge-density. (To where the charge density, of which this is here to be implying in this particular case scenario, is thence to bear a relative lack of viable Laplacian-Based comparative change, when this is here to be covariant in its local determination, as taken from among the neighboring charge-related eigenstates, that are here to be latent from within the inferred proximal local Ward-Cauchy-Related region, that is here to be in question.) SAM. I WILL CONTINUE WITH THE SUSPENSE LATER! 

Homogeneous Diffusion Of Anharmonic Metric-Gauge-Related Eigenstates

 The more homogenous in which the diffusion, of that particular general genus of dispersively emitted anharmonic metric-gauge-related eigenstates is to be, of which is here to be directly appertaining, to the dispersive metric-gauge-related eigenstates, that are here to be emitted by the anharmonic action, of those perturbative Chern-Simons Invariants (such Chern-Simons Invariants are only actually "invariant," when both the speed And the direction of the directly pertinent set of discrete quanta in question, is to be perfectly maintained, in its relation to the motion of electromagnetic energy), that are here to formed by a tense of altered motion, that is hereby to be correlative to the Fourier-Progressive tense of spatial translation, that is to be of a given arbitrary respective Noether-Based mass-bearing cohesive set of discrete energy quanta, to where this whole general type of a Ward-Cauchy-Related activity, in the midst of all of this, will thereby often tend to work to cause the general case scenario, in which the consequentially expressed displayed exhibition of entropy, that is here to be shown, will therefore have the general tendency, of having a heightened probability, of working to bear a relatively consistent tense of an effect, upon the internally latent phenomenology, that is thence to be physically constrained, from within the covariant Neumman-Based proximal local region, whereupon the earlier inferred homogeneous diffusion of entropy, is here to be smoothly dispersed, from within its general respective spatial confines. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Monday, January 24, 2022

Flat Ricci Curvature -- Enhanced Capability Of Recursively Smooth Ricci Flow

 When the Ricci Curvature is flat, at a given arbitrary proximal local Ward-Cauchy-Related region -- this will often work to form the general tendency, of allowing for an enhanced capability, of phenomenology that are here to be existent from within this stated proximal local Ward-Cauchy-Related region, to be able to have a relatively heightened potential, of having the capacity of working to bear a recursively smooth Ricci Flow. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Fluctuation In The Scalar Variability Of The Proximal Local Gravitational Wave-Tug

 Let us initially consider the product of the gravitational force, that is here to be proximal local to a given arbitrary Ward-Cauchy-Related region, with the wavelength, that is here to be of such a stated gravitational force. When there is here to be no net fluctuation, in the scalar variability of the proximal local directly corresponding gravitational wave-tug, that is here to be correlative, to the heuristic effect of the gravitational force, that is to be incurred upon such an inferred Ward-Cauchy-Related region, one may then say, that the directly associated Ricci Curvature, that is here to work to help at describing the effect of the gravitational wave-tug, that is to be applied upon the discrete energy of such a given arbitrary region, is thence to work to bear no local change, to where, one may then conclude, that the region that is here to be taken into consideration, may be described of, as working to bear a "flat" Ricci Curvature. TO BE CONTNUED! SINCERELY, SAMUEL DAVID ROACH. 

Sunday, January 23, 2022

Hermitian Alteration In Net Gauged-Action

 When the net gauged-action of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to alter in its direction of wave-tug, in a manner that is of a hermitian nature, then, the consequentially resultant cohomology that such a stated mass-bearing cohesive set of discrete energy quanta is to work to form, in the process by which such a hermitian change in the direction of the wave-tug of the net gauged-action is to occur, will often have the tendency, of working to bear the essence of a hermitian cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Singular Sporadic Change In Net Gauged-Action

 When the net gauged-action of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear a singular sporadic change in its correlative direction of wave-tug, such a said mass-bearing cohesive set of discrete energy quanta, will often have the tendency, of working to bear a Lagrangian-Based Chern-Simons singularity, at the locus in which it is to be proximal local to, at the moment of such a stated singular sporadic change. TO BE CONTINUED! SINCERELY, SAM ROACH.

Initial Hermitian Cohomology-Related Projected Trajectories Becoming Dolbeault

 When the individually taken cohomology-related projected trajectories, that are here to be facilitated into their formation, by the kinetic spatial transference, of two respective different and distinct hermitian Noether-based mass-bearing cohesive sets of discrete energy quanta, to where such an implied dual tense of a projected trajectory, is thence to be directly related, to the correlative spatial translation of the Fourier-Related-Progression, of the mappable motion of the two implied different and distinct respective Lagrangian-Based paths, that are here to be brought about, by the kinematic wave-tug of the holonomic delineation, of such an inferred restrainable net gauged disturbance of space, are thereby to collide in a Gliosis-Based manner that is Not of a Ward-Supplemental nature, then, the consequentially resultant mappable-tracing of both of the initially stated hermitian cohomology-related Lagrangian-Based paths, will not only often tend to work to bear a Lagrangian-Based Chern-Simons singularity, as at the locus of collision, yet, this whole general process, of such a physical resultant of an implied tense of an eminent Yukawa-Based Coupling, will often tend to work to cause the ensuing general genus of the two earlier mentioned hermitian cohomology-related mappable Lagrangian-Based paths, to alter into then working to behave, instead, as two different and distinct respective individually taken genre, of the projected trajectory of a Dolbeault cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Friday, January 21, 2022

Harmonic/Anharmonic Sheathing

 When a generative cohomology, is to work to exhibit the display of a tense of a harmonic sheathing, this will often tend to be representative, of a general genus of an Etale cohomology. Furthermore, as an inverse correlation to what I have just mentioned here; When a generative cohomology, is to work to exhibit the display of an anharmonic sheathing, this will often tend to be representative, of a general genus of a p-Adic cohomology. (1989). I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Flat Ricci Curvature -- Smooth Ricci Flow -- More Apt Piecewise Continuous Cohomology-Related Generation/De-Generation

 When it comes to a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to potentially be working to form a heuristic Yau-Exact Calabi-Yau Manifold:

The flatter the Ricci Curvature -- The smoother the Ricci Flow -- The more apt that such a directly corresponding given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, of which  is here to be exhibiting such a potentially considered heuristic Yau-Exact Calabi-Yau manifold, will thereby often tend to be, at being able to generate as much cohomology as it is here to be de-generating, in a correlatively piecewise continuous manner. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Thursday, January 20, 2022

Harmonically Vibrating Light-Cone-Gauge Eigenstates -- De Rham Cohomology

  When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear a set of one or more cohesively operational first-order light-cone-gauge eigenstates, that are here to be harmonically synchronously vibrating, in a relatively diffeomorphic manner, this will often tend to work to help such a stated mass-bearing cohesive set of discrete energy quanta, via its directly associated Fourier-Related-Progression, to work to bear the physical tendency, -- of consequently working to form the general mappable-tracing, of a De Rham cohomology, as this is here to be considered, over the projected trajectory, of its respective Lagrangian-Based path. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Harmonically Behaving Gauge-Boson Eigenstates -- Harmonic Directly Corresponding Schwinger-Indices

 When a cohesive set of one or more gauge-boson eigenstates, that are here to be directly corresponding to a given arbitrary quantum of discrete energy permittivity, are to work to "pluck" their correlative second-order light-cone--gauge eigenstates, in a harmonic manner, this will consequently often tend to work to cause those resultantly formed Schwinger-Indices, that are here to be induced by such a stated "plucking" action, to work to be propagated through the immediately surrounding environment of the Rarita Structure, in a harmonic manner. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Mass-Bearing Set Of Discrete Energy Quanta -- Hermitian Cohomology -- Less Perturbative I*PI(Del) Action

 A given arbitrary accelerating Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be exhibiting a hermitian cohomology, will often have the general tendency, of working to bear a smoother covariant delineation of the i*(Del) Action, in the process of tending to work to exhibit the display of a less potentially perturbative physical condition, than a an otherwise analogous given arbitrary accelerating Noether-Based mass-bearing cohesive set of discrete energy quanta, that is, instead, to be working to bear a cohomology, that is Not of a hermitian nature. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Homomorphic Discrete Energy Quanta -- Permeation Through Space-Time-Fabric

 The more homomorphic that the net gauged-action is to be, of which is here to be correlative, to a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, the greater that the consequential probability will often tend to be, that such a stated mass-bearing set of discrete energy quanta, will therefore have the innate capacity, of having a greater intrinsic capacity, of permeating through the general phenomenology, of space-time-fabric. It therefore consequently follows, that; The less homomorphic that the net gauged-action is to be, of which is here to be correlative, to a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, the greater that the consequential probability will often tend to be, that such a stated mass-bearing set of discrete energy quanta, will therefore have the innate capacity, of having a lower intrinsic capacity, of permeating through the general phenomenology, of space-time-fabric. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Isotropic Stability -- Permeation Of Space-Time-Fabric

 The more isotropically stable, that the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta is to be, the more sufficiently, that it will consequently tend to be able to permeate, through the general phenomenology of space-time-fabric. It therefore follows; The less isotropically stable, that the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta is to be, the less sufficiently, that it will consequently tend to be able to permeate, through the general phenomenology of space-time-fabric. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Wednesday, January 19, 2022

Less Isotropic Stability -- More Perturbation In Correlative Light-Cone-Gauge Eigenstates

 The less isotropically stable that the net gauged-action is to be, for a directly corresponding given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, the greater that the correlative probability is thence to be, that the directly corresponding set of light-cone-gauge eigenstates, that are here to be proximal local to the physical composition, that is of the topological manifold of such a stated mass-bearing cohesive set of discrete energy quanta, to where such an inferred consideration, is here to be taken at a level, that is here to be Poincare, to the internal reference-frame of the integrable sum of the individually taken discrete quanta, that are here to work to comprise such a mentioned cohesive set  of discrete energy quanta, to where this will thereupon often tend to work to bear a more perturbative tense of delineated structural stability, than if such an inferred "team" of mass-bearing discrete energy quanta, were instead, to be relatively more isotropically stable. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Monday, January 17, 2022

Perturbative Lagrangian-Based Spurs

 When an initial De Rham cohomology, is to have a set of one or more perturbative Lagrangian-Based spurs, that are here to be incurred, upon the manifold of the initially hermitian topological holomorphic  field, that is of the covariant tense, of the kinematically driven Noether-Based cohesive set of discrete energy quanta, that is here to be initially in the general process, of being transferred from a point of origin, towards an ensuing tangential locus, that it is here to be initially delineated towards, to where the inferred potential mappable-trace, that is here to be formed, as a general consequential result, of the covariant kinematic Lagrangian-Based motion, that is here to be of the spatial transference of a given arbitrary respective tense, of the inferred kinetically driven Hamiltonian Operator of such a given arbitrary case scenario, as such an inferred overall energy of this particular system of metric-related action, is here to be exhibiting the display, of a correlative spatial translation, of its net cohesive composite eigenstates, then,  it will thereby tend to follow, that the consequentially resultant formation, of what is here to be of the highly probable spontaneously incurred existence, of a set of one or more proximal local Lagrangian-Based Chern-Simons singularities, will often have the general result, of working to alter the initially stated De Rham tense of a cohomology, into then ensuing to become of the general nature, of acting, instead, as a given arbitrary tense, of a Dolbeault cohomology. I WILL CONTINUE WITH  THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Thursday, January 13, 2022

Harmonic Inter-Dependence Between Spin-Orbital Momentum And Angular Momentum

 Whenever there is to be existent, a spontaneously strong harmonic tense of an interdependent interaction, as this is here to be  taken, from within the general covariant heuristic confines, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, as when this is here to be taken, both between and amongst, the spin-orbital momentum-related gauged-action -- when this is here to be considered, in conjunction with the angular momentum-related gauged-action, that this general type of a mentioned Ward-Cauchy-Related physical condition, will often consequently work, to synergistically help such an inferred mass-bearing "team" of cohesive discrete energy quanta, to thence work to exhibit the general genus of a role, of having a proximal local relatively enhanced applicable tense, of a group-based action, as described here, -- to where such an inferred "team" of cohesive mass-bearing discrete energy quanta, will thereby have a greater probability, of working to exhibit the display, of a homomorphic field. Thank You! (PHS, 1989). I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Wednesday, January 12, 2022

Harmonic/Anharmonic Spin-Orbital Momentum Of Mass-Bearing "Teams" Of Discrete Energy

 Let us initially consider a given arbitrary kinematic spatially transferred  gyrating Noether-Based mass-bearing cohesive set of discrete energy quanta, that is to work to bear a certain tense of a constant transversal velocity over time, even though it is to be accelerated, on account of the physically proscribed conditions, that since it is gyrating, it is here to be constantly altering in its direction, over time. (An acceleration, is when there is to be a eminent tense of changes, in either the speed And/Or the direction, of a particular physical phenomenon.) Anything that is to be gyrating, will thereby work to bear a viably associated set of spin-orbital conditions. This  more harmonic that the consistently incurred effect of such a tense of a spin-orbital momentum is to behave, in the course of the transferable inferred Fourier-Related-Progression, that is of the recursively kinematic spatial translation of such an earlier stated mass-bearing cohesive set of discrete energy quanta, over the span of the earlier inferred duration of a proscribed tense of time, the more viable of a charge-related output, that such an inferred "team" of mass-bearing discrete energy quanta, will consequently tend to be tangentially emitted, in such a manner that is here to tend to be delineated relatively outward and away, from the bearings of its cohomology-related Lagrangian-Based flow, as this is here to be initially produced, by the multiplicity of a general tense, of a given arbitrary internal covariant kinematically transferred motion of the said "team" of mass-bearing energy quanta, that is here to work to bear the general tense, of a relatively piecewise continuous iterative gauge-related-action, in which the directly corresponding Chern-Simons Invariants are here to be consistently altered, due to a constant change in direction, that such an electrodynamic current-related flow is to be exhibiting in its physical display -- as it is here to be "tugged"into the path of its correlative Lagrangian-Based motion. (Again; You see: Chern-Simons Invariants are only "invariant," when the "team" of discrete energy quanta  of such a given arbitrary case, are to be maintaining the exact same speed and direction all of the time, in its relation to the motion of electromagnetic energy.) TO BE CONTINUED! SINCERELY, SAM ROACH.

Tuesday, January 11, 2022

As Tantamount To The Physical Expression Of The Planck Constant Per I*PI(Del) Action (My Perception)

 The following physical metaphorical expression, that I am about to insert into a given arbitrary tense of an analogy, appears to me now, in lieu of my particular model of string theory, that I have attempted to determine over many years, is to work at aiming at apprehending the ensuing relationship, that is here to potentially exist, between the Planck Constant And The I*PI(Del) Action:

We all know, that Voltage may be expressed, as being, Energy Per Charge. Energy Per Charge, may be expressed, in general, as being, Joules Per Coulombs.

The Planck Constant, is in terms of units of Joules-Seconds; And, The I*PI(Del) Action, is in terms of units of Coulombs-Seconds. 

Take the mathematical expression for the Planck Constant; While then working to divide the said expression, by the mathematical expression for the I*PI(Del) Action. This will thence, be:

((Joules-Seconds)/(Coulombs-Seconds)), -- to where the coupling due to "Seconds," is to mathematically work to cancel for each other, -- to where one is to then, simply get, (Joules/Coulombs), or (Energy/Charge).

So, in a "funny" way: 

The kinematically covariant gauged-action, that is here to be directly associated, with what will eminently tend to be, the transversal spatially translated motion, of what will often be of a given arbitrary Noether-Based cohesive set of discrete energy quanta, that is here to be spontaneously Progressive in its correlative flow of motion, over a proscribed duration of time, as such a stated kinetically covariant tense of a "gauged-action," that is here to work to bear a Ricci-Related flow, as the inferred correlative cohomology-related Lagrangian-Based motion, that is of such an inferred "team" of mass-bearing phenomenology, as this is here to bear such an inferred tense of a magnetic charge, per physically kinematic covariant metric-gauge-related steady-state conservation of homotopic residue, this will thereby often tend to happen in such a relatively understandable manner, to where such an inverted tense of a Gliosis-Based Yukawa Coupling, may often sometimes be able to work, in so as to form the general physical condition, of acting as a relatively respective tense, of what is commonly known of as being, VOLTAGE. Just a distinct current perspective, as to what could theoretically sometimes work, in so as to potentially be able to form the earlier inferred tense of co-tangentially exerted electrodynamic pressure, in the form of the said VOLTAGE. I WILL CONTINUE WITH SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH.

Monday, January 10, 2022

Ghost-Based Inhibitor Acting Upon Initially Homomorphic Implied Field

 When a given arbitrary ghost-based inhibitor, is to act in an eminently incursive Yukawa-Related manner, upon the initially homomorphic Ward-Cauchy field, of the Lagrangian-Based motion of the Fourier-Related-Progression, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, this general sort of a case scenario, will often tend to result, in a consequential weakening of the isotropic stability, that is here to be of a tantamount weakening of the correlative group action, that is to be displayed by the kinematic spatial transference, that is here to be exhibited, by such a stated mass-bearing cohesive set of discrete energy quanta. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Spontaneous Anharmonic Impedance, Upon Initially Holomorphic Driven Hermitian Cohomology Projection

 When one is to have the initial Fourier-Related-Progression, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that is to be kinematically working to bear a kinetically delineated trajectory, that is to be directed as a holomorphic driven hermitian cohomology-based projection, over the span of a given arbitrary proscribed duration of time, to where, there is thence to subsequently (at some point in duration, after the inferred initial physical conditions of the stated Fourier-Related-Progression, have been put into play) be the regional-bearing proximal local presence, of a spontaneous anharmonic impedance, that is here to be incurred upon the said mass-bearing cohesive set of discrete energy quanta, to where this viably inferred factor, as "tugging" upon the earlier stated hermitian cohomology, will have a significant probability, of altering (or having a perturbation upon), the potentially harmonic continuance, of the flow of such an inferred hermitian cohomology-related projection. Such a given arbitrary respective general case, of a spontaneous anharmonic impedance, that is here to be incurred upon such a cohomology-related flow, will often work to cause a set of one or more Chern-Simons singularities, to be incurred upon the motion-related drive, of the Lagrangian-Based path, of such a tense of projected trajectory, at the specific locus of incursion. TO BE CONTINUED!SINCERELY, SAMUEL DAVID ROACH.

Sunday, January 9, 2022

Alteration In Type Of Expansion -- Lagrangian-Based Chern-Simons Singularities

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to spontaneously alter, from exhibiting a euclidean expansion, into ensuing to exhibit a Clifford expansion, the stated cohesive set of discrete energy quanta, at the locus in which such a change in the type of expansion, that is here to be exhibited in its consequentially resultant kinematic display, will often tend to work to bear a certain given arbitrary respective tense, of a Lagrangian-Based Chern-Simons singularity. Likewise; When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to spontaneously alter, from exhibiting a Clifford expansion, into ensuing to exhibit a euclidean expansion, the stated cohesive set of discrete energy quanta, at the locus in which such a change into the type of expansion, that is here to be exhibited in its consequentially resultant kinematic display, will often tend to work to bear a certain given arbitrary respective tense, of a Lagrangian-Based Chern-Simons singularity. TO BE CONTINUED! SAM.

Friday, January 7, 2022

Smooth Homotopic Dispersion -- Heat Abrasion/Consonant Sound

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be primarily associated with a tense of a smoothly heuristic dispersion of its homotopic residue, then, the immediately external physical environment, of such a stated mass-bearing cohesive set of discrete energy quanta, will often tend to be more associated with a tense of heat abrasion, than with a tense of consonant sound. Furthermore; When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be primarily associated with a tense of a smoothly inverted dispersion of its homotopic residue, then, the immediately external physical environment, of such a stated mass-bearing cohesive set of discrete energy quanta, will often tend to be more associated with a tense of consonant sound, than with a tense of heat abrasion. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Smooth Homotopic Dispersion

 When a given arbitrary accelerating Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to exhibit the display, of a smoothly homotopic tense of a heuristic dispersion, it will often have the general tendency, of working to exhibit a relatively smooth emission, of entropic metric-gauge-related eigenstates. Furthermore; When a given arbitrary accelerating Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to exhibit the display, of a smoothly homotopic tense of an inverted dispersion, it will often have the general tendency, of working to exhibit a relatively smooth emission, of charge-related metric-gauge eigenstates. I WILL CONTINUE WITH THE SUSPENSE LATER! SAM.

Spontaneous Alteration In The Lagrangian -- Chern-Simons Singularity

 When an initially holomorphic driven Noether-Based mass-bearing cohesive set of discrete energy quanta, is to spontaneously alter in its initially inferred holomorphic Lagrangian-Based motion, in so as to veer into going on an ensuing Lagrangian-Based path, that is here to be driven in a manner that is to work to bear a tangential departure from the earlier inferred holomorphic path, that is to be directed in a general manner, that is to allow for the said mass-bearing cohesive set of discrete energy quanta, to be tugged into a net gauged-action, that is here to be taken in a general directional tense of Clifford-Related Expansion,  as a Nijnhuis asymptotic delineation of departure, that this just described general type of a perturbation from an initial holomorphic Lagrangian-Based path of motion, will consequently tend to work to form a Lagrangian-Based Chern-Simons singularity, for the inferred "team" of mass-bearing discrete energy quanta, that is here to be localized at the locus, at which the earlier stated holomorphic Lagrangian-Based motion, is to be altered into a Nijenhuis asymptotic delineation-related departure of Clifford Expansion. SAM.

Thursday, January 6, 2022

Magnetic Attraction And Hermitian Nature

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to become kinematically transferred, in the relative holomorphic direction, via a relatively strengthened scalar amplitude of magnetism, the resultant tense of an electrodynamic current, of which one may potentially be able to map-out, via the ensuing covariant traceable cohomology, that is here to be formed, in the process of the general Lagrangian-Based motion, of such a stated electrodynamic current, that this general situation, will then tend to result, to where the thus formed general cohomology-related structure inferred here, may consequently tend to work to bear a heightened probability, of exhibiting the display, of a hermitian-related nature. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH.

Wednesday, January 5, 2022

One Type Of An Epiphany

 A generative flow of charged "particles," tends to work to bear a more braided cohomology, than an analogous generative flow of uncharged "particles." TO BE CONTINUED! SINCERELY, SAM ROACH.

Reversal In The Relative Direction Of Angular Momentum

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be brought into a reversal, in the directional wave-tug of its net gauged-action, then, such a stated mass-bearing cohesive set of discrete energy quanta, will consequently tend to be brought into a reversal, in the directional wave-tug of its directly associated angular momentum, to where it will thereby consequently result, in tending to spontaneously work to bear a set of correlative anti holomorphic Kahler conditions. (1989). I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Reversal In The Relative Direction Of The Spin-Orbital-Momentum

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be brought into a reversal in the direction, of the radial topological sway of its eminent net gauged-action, such a stated mass-bearing set of discrete energy, will consequently tend to spontaneously result, in working to be brought into a reversal, in the direction of the wave-tug of its directly associated spin-orbital momentum; To where, such an inferred "team" of mass-bearing energy quanta, will as well, consequently tend to thereby result, in a spontaneous reversal, in the relative direction of its rotational flow, over a given arbitrary span of discrete time. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (PINCKNEY, 1989).

Hermitian Spin-Orbital-Momentum

 When the net gauged-action of a Noether-Based mass-bearing cohesive set of discrete energy quanta, is to kinematically work to bear a recursively smooth topological sway, over the durational course of a directly corresponding Fourier Progression, it will thereby follow, that such an inferred "team" of mass-bearing discrete energy quanta, under these just mentioned general physical conditions, will often consequently tend to result, in working to exhibit the display, of a hermitian tense of a vibrational oscillation, as this is here to be occurring, as inferred before, over a given arbitrary proscribed duration of time. Sam Roach.

Tuesday, January 4, 2022

Back To Basics -- Alteration In Directional Wave-Tug Of Net Gauged-Action

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to alter in the directional wave-tug of its net gauged-action, such a stated mass-bearing cohesive set of discrete energy quanta, will consequently result in tending to alter in the directional wave-tug of its angular momentum, to where this inferred "team" of mass-bearing discrete energy quanta, will thereby tend to result, in altering in the relative direction of which it is to be tugged into. TO BE CONTINUED! SINCERELY, SAM ROACH.

Isotropically Stable Superstrings -- Presence Of Anti Gravity -- Less Likely To Remain Oritentable

 Isotropically stable Noether-Based mass-bearing superstrings of discrete energy permittivity, that are here, to be both physically present from within the Ward-Cauchy-Related bounds of a proximal local anti gravitational field (as opposed to a heuristic gravitational field), and, to where such a stated anti gravitational field, is to work to bear a flat Ricci Curvature, then, this may often consequently work to allow for a relatively heightened probability, to where the multiplicity of the earlier inferred tense of such individually taken mass-bearing superstrings of discrete energy permittivity, will thereby often have the general tendency, of spontaneously becoming non orientable -- to where the directly associated Noether-Based mass-bearing cohesive set of discrete energy quanta, of which such earlier stated superstrings are to work to help in comprising, will thereby have a heightened probability of becoming tachyons. TO BE CONTINUED! SINCERELY, SAM ROACH.

Monday, January 3, 2022

Isotropically Stable Superstring -- Orientation

 Isotropically stable Noether-Based superstrings of discrete energy permittivity, when these are here to be proximal local to a heuristic gravitational environment, that is here to be directly associated, with the workings of a flat Ricci Curvature, may often tend to have a greater probability, of being able to spontaneously remain, as a tense of what may be perceived of, as being, "orientable strings." SAMUEL.

Swiveling Superstring Of Discrete Energy Permittivity -- Less Isotropically Stable Nature

 The more that a given arbitrary superstring of discrete energy permittivity, is to "swivel around," as it is here to be kinematically propagated, along its directly corresponding Lagrangian-Based path, over the durational course of its directly associated Fourier-Related Progression, the less of an isotropically stable nature, that such a stated superstring of discrete energy permittivity, is therefore to tend to result in working to exhibit. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Synchronized Inertia-Related-Pulsations -- Deepened Resonant Vibration

 When a set of two or more different covariant inertia-related-pulsations, are to synchronize in a relativistic manner, at the vantage-point of a central coni-axion, this general type of a kinematic exhibited display, may often have the general tendency, of working to deepen the resonant vibration, of each of the earlier inferred individually taken Noether-Based mass-bearing cohesive sets of discrete energy quanta, that are here to be working to exhibit the display, of the earlier inferred distinctly different covariant inertia-related pulsations, that are here to be emanating, from the spatially propagating Fourier-Progression, that is here to be of the covariant kinematically transferred proximal local region, that is of the recursive spatially translated tense of synergetic field-density, as this is here to be taken as the propagational transfer of the earlier inferred Hamiltonian Operator, of which is here to be tugged along the cohomology-related mappable-tracings of Lagrangian-Based path operand, that are here to be directly corresponding to the resultant kinematic angular drive of homomorphic permeability, that is here to be directly associated, with the consequentially resultant isotropically stable physical motion over time, that is here to be perceptible, to the stated synchronized Lagrangian-Based motions that is of each of the individually taken Noether-Based mass-bearing cohesive sets of discrete energy quanta, that are here to be considered, in this particular given arbitrary case scenario. TO BE CONTINUED! SINCERELY, SAM.

Kahler-Based Quotients -- Perturbative Tendencies

 The deeper that the Kahler-Based quotient is to be, for a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that would otherwise be of the same nature of exhibited behavior, the less prone to spontaneous structural perturbation, that such an inferred "team" of mass-bearing discrete energy quanta is to consequently tend to be, as the said "team" of energy, is to thence be  potentially exposed to the externally impending interactive co-tangential forces, as this is here to be working to consider, both the structural conditions, And, the inferred dual-state covariant Fourier Progression, that is here to be of the apprehended eminent external environment, that is of such a stated mass-bearing cohesive set of discrete energy quanta, to where this is also to be of the same general nature of exhibited behavior, as this is taken over the duration, of a common relativistic covariant proscribed duration of time. SAM. (1989).

Inertia-Related Pulsation -- Fractal/Elastic Modulus

 Let us say, one were to have an inertia-related pulsation, that is here to be tugged, through a given arbitrary Lagrangian-Based path, over a correlative span of time. Such a tense of pulsation, is here to work to involve an eminent coupling, between a tense of metric, in conjunction with a tense of time. The "deeper" that the metric component of such a stated tense of an eminent coupling is to be, the more that the core-field-density of the Lagrangian drive, that is of the permeable wave-tug of such a stated inertia-related pulsation, will often consequently tend to work to bear a heightened tense of a pseudo fractal modulus. Furthermore; The "deeper" that the time component of such a stated tense of an eminent coupling is to be, the more that the core-field-density of the Lagrangian drive, that is of the permeable wave-tug of such a stated inertia-related pulsation, will often consequently tend to work to bear a heightened tense of a pseudo elastic modulus. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM.

Saturday, January 1, 2022

Coupling Of Angular Drive Topological Manifolds -- Ward-Cauchy-Related Fractal Of Power

 The general coupling that is here to exist, between the wave-tug of the angular drive, that is of the topological manifold, of a superstring/counter string of discrete energy permittivity, when in a covariant conjunction with the wave-tug of the angular drive, that is of the topological manifold, of the respective directly corresponding phenomenology of its correlative light-cone-gauge eigenstate/Fadeev-Popov-Trace eigenstate, is an eminent tense, of a given arbitrary case scenario, of which is here to work to form a Ward-Cauchy-Related fractal of power, as this is here to be taken at the Poincare level, to the immediately external reference-frame of the core-field-density, of such an inferred discrete quantum of energy. TO BE CONTINUED! SINCERELY, SAM.

A Better Understanding

 In regards to the relative covariant Laplacian-Based spatial dimensionality, of a given arbitrary genus, of a Laplacian-Based setting, of a heuristic superstring-based Calabi-Yau manifold: 

Let us consider the series, that I had initially indicated, in so as to work to determine the relative Hodge-Based comparisons, between and amongst the implicative scalar amplitude-related characteristics, of the parameter-related distances, that may here be eminent in relation to one another, for a Noether-Based superstring of discrete energy permittivity, at an internal reference-frame, as this general process is here to be considered, at the Poincare level to the respective Laplacian-Based topological manifold, that is thence to be eminent to the Neumann-Related field, that is here to be immediately external to the core-field-density, of such an inferred unitary Hamiltonian Operator, when one is here to be considering the overall energy of the system, to be of a singular discrete quantum of mass-bearing superstring-related energy. 

Let us, arbitrarily, consider just the spatial dimensions of such a stated Calabi-Yau manifold, that are to be of a complex nature, that is also respectively compact. We will, as well, be considering, the workings of a D-field, of which is here to work to involve six spatial dimensions plus time. Let us now, at this point in explanation, consider the third “largest” of such spatial dimensions, as being described of, as having a Hodge-Based parametric amplitude of spatial dimensionality, of “the natural log of (i*PI.)” This is because, at this inferred tense of a small level, the third largest spatial dimension that we would tend to “observe,” is to have a Zernique Polynomial involved with the expression of its parametric restraint, and, such a stated type of a “Polynomial,” works to involve both a Riemann-Related conjugate And a Nijenhuis conjugate as well. Let us next say, that the next smaller dimension of the six, is to be Only e^1 times as small in relative Hodge-Based parametric scalar amplitude, as its next highest spatial dimension. (The latter of which, is to be of the said relative “the natural log of (I*PI)” scalar amplitude, of parametric dimensional “swipe.”) Furthermore; The second smallest spatial dimension of the six, is here to be e^2 times as small in dimensional “swipe” as the third smallest, and, the smallest spatial dimension of the six, is here to be e^2 times as small in dimensional “swipe” as the second smallest of such spatial dimensions.) This works to help indicate, that although the third smallest spatial dimension of a D-field, is relatively elongated, the two smallest spatial dimensions of a D-field, are relatively curled-up spatial dimensions. SAM ROACH.