Saturday, December 31, 2022

The Ricci Curvature And The Generation Of Cohomology

 The following tends to be the case, for Noether-Based discrete energy quanta, when the eminently proximal local heuristic gravitational scalar, that is here to be in conjunction with working to help one to determine the Ricci Curvature, happens to be trivially "1." When the Ricci Curvature is heuristically "fractional," the inherently proximal local cohomology, will often have the general tendency, of being degenerative. When the Ricci Curvature is heuristically "one," the inherently proximal local cohomology, will often have the general tendency, of being equally as generative as it is degenerative. Furthermore; when the Ricci Curvature is heuristically "more than one," the inherently proximal local cohomology, will often have the general tendency, of being generative. The propagation of harmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of "the offshoot" of a generative cohomology-related field, often tends to work to facilitate, the resultant formation, of harmonic charge. The propagation of harmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of "the offshoot" of a degenerative cohomology-related field, often tends to work to facilitate, the resultant formation, of anharmonic charge. Next; The propagation of anharmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of the "offshoot" of a generative cohomology-related field, often tends to work to facilitate, the resultant formation, of "essential entropy." AND; -- The propagation of anharmonic Chern-Simons Invariant metric-gauge eigenstates, as taken in the proximal local presence, of the "offshoot" of a degenerative cohomology-related field, often tends to work to facilitate, the resultant formation, of "non-essential entropy." SAMUEL ROACH. 

Tense Of Propagation -- Ricci Flow

 The Noether-Based propagation, of a given arbitrary Hamiltonian Operator, tends to work to involve a Ricci Flow, that has a negative value. (Heuristically, this will tend to be (-2).)

The tachyon-related propagation, of a given arbitrary Hamiltonian Operator, tends to work to involve a Ricci Flow, that has a positive value. 

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

Friday, December 30, 2022

Electromotive Pulse And Charge

 A hermitian Noether-Based electromotive pulse, has the general tendency, of working to exhibit a steady-state charge. Furthermore; A spurious Noether-Based electromotive pulse, has the general tendency, of working to exhibit a perturbative charge. A Hamiltonian Operator, that works to exhibit a steady-state charge, often tends to express a smoother Ricci Flow, than an otherwise analogous Hamiltonian Operator, that works to exhibit a perturbative charge, instead. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Perturbative Gravitational Field -- Homotopic Divergence

 The proximal local presence of a perturbative gravitational field, may often tend to help facilitate, the concurrent general physical effect, of a resultant tense of homotopic divergence. SAMUEL ROACH. 

Flat Ricci Curvature --- Homotopic Convergence

 The attributable effect of the general Ward-Cauchy-Based environment, that is eminently associated, with the proximal local presence of a Flat Ricci Curvature, may often tend to help facilitate, the general process of the homotopic convergence, that is of the eminently associated cohomology-related path-curvature, of which is here to be correlative to the attributable Lagrangian-Based motion, of the directly associated kinematic propagation, of a respectively affiliated functionally viable Hamiltonian Operator. SAMUEL.

Thursday, December 29, 2022

The Re-Enforcement Of Anti Gravitational Waves -- Re-Enforcement Of Proximal Local Kahler-Based Conditions

 The Re-Enforcement of those anti gravitational waves, that are here to be latent, from within the Ward-Cauchy-Related confines, of a particular set respective given arbitrary region in time and space, will often tend to work to re-enforce the proximal local Kahler-Based conditions, that are here to be present, from within the eminently effectually inferred locality in time and space. TO BE CONTINUED! SAMUEL. 

Extremal Metrics

 When a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, is to be moving at so much of a velocity, that it is to work to be eminently associated, with a relatively significant tense of directly associated Lorentz-Four-Contractions, that it happens to be, that the individually taken superstrings, that work to comprise such a stated respective Hamiltonian Operator, will thereby often tend to work to bear, such an inferred covariant set of spatial dimensions, in which the Kahler-Related behavior, may thereby tend to be expressed of, as working to bear, what may often may be termed of, as being "extremal metrics." I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH, 

Path-Curvature Of A Cohomology-Related Flow -- Topological Invariance -- Homotopic Convergence

 When the path-based curvature of a cohomology-related flow, is to be spontaneously approaching a state of topological invariance, it may often be said, that such a stated cohomology, is here to tend to be expressing, a correlative tense of homotopic convergence. It follows that; When the path-based curvature of a cohomology-related flow, is to be spontaneously digressing from a state of topological invariance, it may often be said, that such a stated cohomology, is here to tend to be expressing, a correlative tense of homotopic divergence. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH. 

Wednesday, December 28, 2022

A Hamiltonian Operator That Has Strong Kahler Characteristics

 A Hamiltonian Operator that has strong Kahler characteristics, often tends to be eminently associated with a very recursively smooth Ricci Flow. LATER, DUDES! TO BE CONTINUED! SAMUEL ROACH. 

The Squared Condition Of The Fourier-Related-Progression

 When one is to mathematically add the square of the homotopic convergence, that is of a given arbitrary respective Noether-Based Hamiltonian Operator, together with the square of the homotopic divergence, that is of the self-same respective Noether-Based Hamiltonian Operator, one may often consequently work to mathematically derive, what is here to be analogous to the respective squared condition, of the directly associated Fourier-Related-Progression, of which is here to be propagated through the correlative Lagrangian-Based path, of which such an earlier stated Hamiltonian Operator is here to be traveling along, as it is to be in the process of being physically translated, via a cohomology-related curvature in time and space, as such an inferred "team" of discrete energy quanta, is here to be comprised of by a cohesive set of individually taken discrete energy quanta, of which are comprised, in tact, by an integrable set of respective zero-states, to where such an inferred cohesive set of discrete energy quanta, is thenceforth to be transferred from one spot in the substring-related realm to another, over the course of a potentially viable duration to time. Furthermore; in the "process," the hermitian flow of cohomology, tends to help facilitate a smooth homotopy. A minimally restrained hermitian cohomology, that is incurred upon by a minimal heuristic gravitational wave-tug, that is also to work to bear a smooth recursively stable homotopy, will often tend to work to bear a relatively Kahler set of dimensional characteristics. This general process, works to facilitate a lowered restraint upon the increased acceleration, of any directly affected system of energy. SINCERELY, SAM ROACH. 

What Homotopic Divergence Is

 Homotopic divergence, is the mappable topological reaction of wave-tug-related gauge-metric flow, via which cohomological path-related curvature, is to be tangentially propagated, both outward and away from the source of initial consideration, as a projected trajectory of integrable covariant inter-dependent functionally-gauged zero-states, that are externally delineated at the proximal locus, of the outer shell of the core-field-density-related region, that is of the multiplicity of each individually taken discrete energy quantum, of which is to work to form any correlative directly associated respective Hamiltonian Operator, of which is here to be expressing, such an eminent mappable topological reaction. 

Cohomology -- Homotopic Divergence / lHomotopic Convergence

 When the homotopic divergence / homotopic convergence, is here to be of a Clifford-Related nature, the directly associated mappable cohomology, will often tend to be coiled (of a helicity-related nature), as a distributional delineation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

When Gliosis to The Kahler-Metric

 Pure energy is not literally 100 percent efficient. When a given arbitrary Hamiltonian Operator is to be Gliosis to the Kahler-Metric, those individually taken discrete energy quanta, of which are here to work to comprise such a stated Hamiltonian Operator, are to work to bear a dimensional modification, of which is here to work to allow for the re-attainment of the optimum utilization, that is directly associated with the herein inferred net discrete energy quantum (of which is here to be referring to the said Hamiltonian Operator). TO BE CONTINUED! SINCERELY, SAMUEL ROACH.(1989). 

Tuesday, December 27, 2022

Anti Gravitational Force -- Depth Of Kahler-Based Quotients

 As a general tendency; It may often occur -- that the stronger the incursion of an anti gravitational force, as it is to be imparted upon a given arbitrary correlative Noether-Based mass-bearing Hamiltonian Operator, the deeper that its directly associated Kahler-Based quotient, may often tend to become. SINCERELY, SAMUEL DAVID ROACH. (PHS -- 1989).

Tense Of Gravitational Force -- Kahler Conditions

 When the proximal local tense of gravity, is to alter, from initially working to express an anti gravitational force, into then spontaneously working to express a heuristic gravitational force, this general reductional physical operation, will often tend to work to induce, the proximal local presence, of the general physical attribution, of a set of latent anti holomorphic Kahler conditions. SINCERELY, SAMUEL ROACH. 

Anti Gravity -- Kahler-Related Nature

 The proximal local presence of anti gravity, often tends to work to enhance the Kahler-Related nature, of a correlative Hamiltonian Operator, of which is here to be enacted upon, by such an inferred proximal local presence, of an anti gravitational force. TO BE CONTINUED LATER, EVERYONE! SINCERELY, SAM ROACH. 

Cohomology -- Homotopic Divergence / Homotopic Convergence -- Euclidean

 Cohomology that is eminently related to a homotopic divergence / homotopic convergence, that is here to be of a Euclidean-Related nature, often has the general tendency, of working to bear an uncoiled (Non helicity-related) distributional delineation. More as to homotopic divergence / homotopic convergence, later! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Corrected -- The Holonomic Scalar Value Of Homotopic Transfer / Homotopic Restraint

 The holonomic scalar value of homotopic transfer, is equal to i times the heuristic scalar value of the correlative homotopic transfer. In a similar but different "train" of thought; The holonomic scalar value of homotopic restraint, is equal to i times the heuristic scalar value of the correlative homotopic restraint. It follows, that the heuristic scalar value of homotopic transfer, is equal to -i times the holonomic scalar value of the correlative homotopic transfer. In a similar but different "train" of thought; The heuristic scalar value of homotopic restraint, is equal to -i times the holonomic scalar value of the correlative homotopic restraint. Here's a hint: The multiplicity of the Fourier-Related-Progression, is mathematically equal to the Fourier Transform divided by the Lagrangian. Mathematically, one isn't to leave Imaginary Numbers in the denominator. This should be sufficient enough of a hint! SINCERELY, SAMUEL DAVID ROACH. 

Relatively Deep Inherent Vibration

 A highly Kahler Hamiltonian Operator, often tends to inherently express a relatively deep resonant vibration. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Imagine with me: How would you feel, theoretically, if you needed to send in classified knowledge to the government, in order to not get into major trouble, yet, your own family warned you, that if you did so, that you may possibly lose your home?

PS: This blog, in and of itself, is big time NOT the insinuated classified knowledge.  



Slater Inter-Relationship Of Binary Fourier-Related-Progression

 When one is to mathematically take the Yukawa Coupling, that is here to be existent, between the expression for the homotopic transfer in conjunction with the expression for the homotopic restraint, of which is here to be eminently affiliated, with the mappable Lagrangian-Based motion, of a directly pertinent Hamiltonian Operator, that is here to be exhibiting such an expression of homotopic projected trajectory, one may often resultantly tend to consequently be spontaneously dealing, with a directly associated Slater-Based inter-relationship, amongst these two different mathematically determinable phenomenology, that is here to correspond, to the correlative binary Fourier-Related-Progression, that is of the earlier mentioned/inferred given arbitrary respective Hamiltonian Operator, of which is here to be directly associated, with the attributable Hamiltonian Operator, that is here to be of this particular type of a case scenario. I WILL CONTINUE LATER!TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Highly Kahler Hamiltonian Operator -- De Rham Cohomology

 A highly Kahler Hamiltonian Operator, that is is to be initially exhibiting a De Rham cohomology, to where this is to later be spontaneously acted upon, by an external force, will often have the general tendency, of often working to exhibit a greater probability, of consequently remaining of a De Rham cohomology, than an another otherwise analogous Hamiltonian Operator, that is here, instead, to be of a relatively lower Kahler-Based nature. HEY! I WILL CONTINUE WITH THE SUSPENSE LATER, EVERYBODY! TO BE CONTINUED! SAM ROACH. 

Highly Kahler Hamiltonian Operator -- Relatively Strong Resonant Pulsation

 A highly Kahler Hamiltonian Operator, often tends to work to bear a relatively stronger resonant pulsation, than another otherwise analogous Hamiltonian Operator, that is of a relatively lower Kahler-Based nature. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (PHS 1989). 

Saturday, December 24, 2022

Restrained Homotopic Transfer

 The restrained homotopic transfer, of a kinematically delineated Hamiltonian Operator, may often be eminently associated, with the projected trajectory, of a propagated cohomology-related topological entity. SAM.

Friday, December 23, 2022

Harmonic Reverberation Of A Hamiltonian Operator

 The harmonic reverberation of a Noether-Based mass-bearing Hamiltonian Operator, often tends to work to bear the recursive reiteration, of a sequential series, of an inherently attributable set, of exhibited anti holomorphic Kahler conditions. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Thursday, December 22, 2022

Homotopic Transfer/ Homotopic Restraint

 Homotopic transfer may often be eminently associated, with the flow of the permittivity of a Ward-Cauchy-Related cohomological path curvature. Whereas; Homotopic restraint may often be eminently associated, with the flow of the impedance of a Ward-Cauchy-Related cohomological path curvature. SAMUEL DAVID ROACH. 

Anharmonic Output Of Recursively Recalibrated Chern-Simons Invariant Gauge-Actions

 For a directly affiliated kinematically delineated, given arbitrary Noether-Based charged Hamiltonian Operator; The lower that the anharmonic output is to be, of a respective directly appertaining set of recursively recalibrated Chern-Simons Invariant gauge-actions, the more efficient that the conduction of such an earlier stated Hamiltonian Operator, is to often tend to be. SAMUEL DAVID ROACH.(1989).

Wednesday, December 21, 2022

Harmonically Generated Anti Gravitational Perturbation

 The multiplicity of the general tense of action, which may be eminently associated with Harmonically generated anti gravitational perturbation, often tends to help escalate the generation of hermitian cohomology. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

Tense Of Gravitational Perturbation -- Tense Of Ricci Curvature

 When the proximal local gravitational perturbation is degenerative, the respective eminently related Ricci Curvature, will consequently often tend to bear an attenuated nature. It follows, that; When the proximal local gravitational perturbation is generative, the respective eminently related Ricci Curvature, will consequently often tend to bear an augmented nature. Furthermore; When the proximal local gravitational perturbation, is neither degenerative nor generative, the respective eminently related Ricci Curvature, will consequently often tend to bear, neither an attenuated nature nor an augmented nature, since this latter example, is indicative of the general case, in which the directly pertinent gravitational force, is to not be altering, (it will not bear a correlative tense of perturbation), in its proximal local respective eminently exhibited display. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

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. 

Tuesday, December 20, 2022

Spurious Group Attraction

 The incursion of spurious group attraction, may often tend to facilitate the spontaneous degeneration of gauge-invariance. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH. 

Steady-State Group Attraction

Steady-State group attraction, may often tend to work to facilitate gauge-invariance. SAM ROACH.  

Relatively Strong Group Attraction

 The incursion of a relatively strong tense of a hermitian group attraction, as imparted upon the proximal local presence, of a respective directly associated hermitian Hamiltonian Operator, may often tend to work to facilitate the general tendency, of the eminent maintenance, of a respectively correlative proximal local De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Gravitational Perturbation -- Rayleigh Scattering

 Gravitational perturbation, at a set locus, may, at times, be eminently associated, with the general occurrence, of a respective directly associated Rayleigh Scattering. SAMUEL DAVID ROACH. 

When The Gravitational Force Stops Its Perturbation -- Riemann Scattering

 When the gravitational force, that is here to be incurred, upon a specific set locus in space and time, is to spontaneously stop, in its initial general occurrence of perturbation, this may, at times, be eminently associated, with the proximal local incursion, of a Riemann Scattering, that may be spontaneously occurring, at this inferred proximal local region, in space and time, over the same general duration, in which the earlier stated gravitational force, is here to have ended, in its inferred initially occurring general process of perturbation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Monday, December 19, 2022

Perturbative Gravitational Force -- Viscosity Of Space-Time-Fabric

 Perturbative gravitational force, often tends to effect the viscosity of space-time-fabric, since its effect upon the behavior of cohomology-related deformation, will tend to work to effect the ebbing, of the directly associated pressurized vacuum -- to where this inferred perturbative ebbing of pressurized vacuum, will often tend to work to alter, the eminent association that is here to exist, between the proximal local Majorana-Weyl-Invariant-Mode, And, the respective proximal local I*PI(del) Action. SAMUEL. 

Binary Metric-Pulse Acting Upon A Reductional Planar Region Of Space-Time-Fabric

 When a binary metric-pulse is to act, in so as to work to bear a heuristic Yukawa Coupling, upon a reductional planar region of space-time-fabric, this may often tend to resultantly work to facilitate, the consequential formation, of a quaternion-based metric-pulse. TO BE CONTINUED! SAM ROACH. 

Perturbative Gravity -- Spurs In Homotopy

 When the gravitational force is perturbative, the directly corresponding Ricci Flow will tend to not be smooth, to where the directly associated homotopy that is consequently formed, will therefore tend to resultantly work to bear proximal local Chern-Simons-Related spurs, as taken along the path of the curvature of the eminently related Hamiltonian Operator, of which is here to be kinematically operating as an energy-related eigenstate, that is to be working to form such an inferred cohomology-related topological manifold, of which is here to be working to express such an earlier stated Ricci Flow. SAM ROACH. 

Sunday, December 18, 2022

Heuristic Maintenance Of A Smooth Homotopy

When the multiplicity of the Fourier-Related-Progression, that is hereupon to be eminently associated, with the kinematic motion, of a directly corresponding Hamiltonian Operator, is thence to work to map-out a hermitian cohomology-related field of path-based curvature, it may therefore consequently tend to be said, in the general process, by which the respective Lagrangian-Based spatial translation, that is of this inferred "team" of discrete energy quanta, is thereupon to often have a consequentially heightened probability, of working to express the heuristic maintenance, of a relatively smooth homotopy. SAMUEL.

Fourier-Related-Progression

 The Fourier-Related-Progression of a given arbitrary Hamiltonian Operator, may often tend to be perceived of, as being, the quotient that is here to exist, between the respective Fourier-Transformation of the said Hamiltonian Operator, as divided by the directly associated Lagrangian of that self-same inferred "team" of discrete energy quanta. (To where; Such a stated "team" of discrete energy quanta, may be thought of as being a means of working to describe, the herein mentioned "Hamiltonian Operator.") SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED LATER!!!

Inversion Of Thought Coupled With The Inversion Of Frequency

 Often; The multiplicity of the inversion of thought, as heuristically coupled, with the inversion of frequency, may often tend to work to form, the proximal local presence, of a heuristic pulsation. SAM.

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.

Heuristic Coupling Of Thought With Power

 The multiplicity of the heuristic coupling of thought with power, often tends to spontaneously facilitate, the rate at which force is to be physically applied, upon its environment. SAMUEL ROACH. (1989).

Friday, December 16, 2022

Thought Waves Of A De Rham Cohomology

 The stronger that a thought wave tends to be, the more probable, that it will consequently have the likelihood, of working to express a De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Frequency Of Thought Wave -- Rate Of Enactment

 The stronger of a frequency that a thought wave is to have, the quicker that it will tend to be enacted upon its environment. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH, (1989).

Thursday, December 15, 2022

Rudiments Of Thought-Related Force / Gravity-Related Force

 The multiplicity of the reductional vectorial coupling, that is here to exist, between the "rudiment" of thought-related force, and the "rudiment" of gravitational-related force, often has the general tendency, of working to form a tense, of a unitized Bianchi-Related propagational tensor. Whereas; The multiplicity of the reductional coupling, that is here to exist, between the eminent effect of thought-related force, And, the eminent effect of gravitational-related force, often has the effect of tending to facilitate, the propagation of time. It therefore follows, that the "rudiment" of thought-related force, happens to be the Inverse, of the "rudiment" of gravitational-related force. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Anharmonic Spike In The Directly Associated Ricci Flow

 The proximal local presence of Chern-Simons-Related spurs, in the homotopic transfer, of the Lagrangian-Based path, of a kinematically propagated Hamiltonian Operator, tends to be eminently associated, with a set of one or more anharmonic spikes, in the respective directly associated Ricci Flow. SAMUEL. 

Wednesday, December 14, 2022

Smooth Homotopic Transfer -- Gauge-Invariance

 When a given arbitrary Noether-Based Hamiltonian Operator, is to work to exhibit the display, of a relatively smooth tense of homotopic transfer, it will consequently have a heightened probability, of being capable of working to exhibit the display, of expressing a tense of gauge-invariance, than if it were otherwise, when every other factor was here to analogously be present, to Not be working to exhibit the display, of such a relatively smooth tense of homotopic transfer. TO BE CONTINUED! SAMULE ROACH. 

Eminent Association With Lagrangian-Based Spurs

 The proximal local presence of Lagrangian-Based Chern-Simons-Related spurs, tends to be eminently associated, with a perturbative Ricci Flow. TO BE CONTINUED! SINCERELY, SAM ROACH.

Homotopically Smooth Cohomology-Related Deformation

 When the cohomology-related deformation is to be homotopically smooth, as this is here to be imparted in a piecewise continuous manner, the directly associated Ricci Flow, of which is here to be effectual, at the Poincare level to the inferred Lagrangian-Based motion, that is here to be of the respective given arbitrary Hamiltonian Operator, that is here to be kinematically transferred through space over time, in so as to work to form the correlative associated cohomology-related topological manifold, it will hereupon consequently follow, to where such a stated Ricci Flow, will therefore spontaneously tend to resultantly behave, in a manner that is both smooth and hermitian, over the inferred duration, in which such an inferred net energy-related eigenstate, is here to bear a homotopically smooth cohomology-related deformation. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Tuesday, December 13, 2022

Heuristically Effectual Scalar Drive / Inverted Effectual Scalar Drive -- Majorana-Weyl-Invariant-Mode

 Heuristic Gravitational Force, as imparted upon a correlatively respective given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to work to form, the heuristically effectual scalar drive, of the eminently related Majorana-Weyl-Invariant-Mode, that is here to be corroborative, in its relation to such an inferred "team," of discrete mass-bearing energy quanta. Whereas; Anti Gravitational Force, as imparted upon a correlatively respective given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to work to form, the inverted effectual drive, of the eminently related Majorana-Weyl-Invariant-Mode, that is here to be corroborative, in its relation to such an inferred "team," of discrete mass-bearing energy quanta. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Heuristic Gravitational Force / Anti Gravitational Force -- Restraint Of Inferred Tendencies

 Heuristic Gravitational Force, tends to impel the general restraint, upon the kinematic distributional delineation of a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, in so as to incur the general physical tendency, of working to help allow for a proximal local condition of conformal invariance. Whereas; Anti Gravitational Force, as imparted upon a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to impart the general physical condition of restraint, upon the initially incurred  physical condition of conformal invariance, that is here to have initially been occurring, in so as to tend to work to help allow, for the spontaneously ensuing potential kinematic distributional delineation, of the topological manifold, that is here to be of the holonomic substrate of the earlier stated given arbitrary respective Noether-Based mass-bearing Hamiltonian Operator, of which is here to be theoretically described in a general manner, in this particular genus of a case scenario. SAM ROACH. 

Some Cool Neat Stuff As To Gravitational Topological Variance (GT's)

 In general; Here is a refined synapsis, as to how to work to determine the gravitational topological variance, for a superstring of discrete energy permittivity, when in lieu of the cross, between both the number of spatial dimensions that such a said superstring is to be working to exhibit, in a given arbitrary case scenario, as well as also working to consider, the number of spatial dimensions that such a stated superstring of discrete energy permittivity is to be traveling through. (The number of spatial dimensions, that are of the medium of space-time-fabric, of which such a mentioned string, is to be in the process of being transferred through, over a relatively transient proscribed respective duration of time.)

Let us initially consider the variable, "D," to work to signify or denote, here, the number of spatial dimensions, of which the herein considered proximal local superstring of discrete energy permittivity, is to be exhibiting, as it is being in the general process of being physically transferred, from one given arbitrary respective locus in space and time, to another given arbitrary respective locus in space and time. Let us next consider, that the variable, "N," is here to work to signify or denote, the number of spatial dimensions, of which the space-time-fabric, that such a superstring of discrete energy permittivity is to be traveling through, is thence to be working to be exhibiting. This being the case, one may therefore say:

GT(v) (The gravitational topological variance) = 


(((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)*(e^(2*(1-N)))+ 1))*(((N^.5)/N)*((e^(The Ricci Flow))^D) (+ - ihat, + - jhat, + - khat, ... + - q(n)hat.))

This means, that aside from the heuristic wobbling, that is of any one particular given arbitrary superstring of discrete energy permittivity, that, due to the general tendency, of the incurred force of gravity, upon such a generic stated string, that the length of the each of the spatial dimensions, of which are here to be proximal local, to the physical presence of such a said superstring, may thereby vary in the scalar magnitude of their exhibited display, by a factor of up to (+ -) The scalar amplitude, that is of the herein inferred GT's.

For example.Let us consider an electron. It heuristically has six spatial dimensions plus time. (On the order, of being related to a "Calabi-Yau Manifold.")  So "D," here, will have a value of "6."

Next. Let us consider such an electron, to be moving through a medium of space-time-fabric, of which is here to consist, of an exhibited display, of six spatial dimensions plus time. So "N," here, is also "6."

This would thence mean, that the "lengths" of the six individually taken spatial dimensions, that are here of each of the six inferred spatial axions, are going to vary in their scalar amplitude, up to a factor of + or - ABOUT "5.01672812*10^(-6)" of the heuristically considered length, that these would otherwise tend to be exhibiting, just on the account, of the general influence, of the effect of the hereupon inclusive incursion, of the proximal local force of gravity, that is here to be enacted, upon the multiplicity of such inferred individually taken superstrings, of discrete energy permittivity. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

To Refine my math more, just to make this idea hit home a little better; 

When one is to be dealing with a Ward-Cauchy-Related field, of Cotangent Bundle R(N),  as such a field is here to be heuristically comprised of by M spatial dimensions (to where, M is here to be analogous to what I had earlier termed of, as being, "D"), as taken over an eminently corroborative Fourier transform, that it is thereby to consequently follow, that the Gravitational Topological Variance, is thence to be:

GT(v(M)) = (((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)))+1))*(((N^.5)/N)*((e^(The Ricci Flow))^M)  (+ - ihat, + - j hat, + - khat, ... + - q(n) hat.)) Thank You For Your Understanding!

Monday, December 12, 2022

Tangential/Co-Tangential Heuristic Pulsation

 When a gravitational-related force, is to be applied upon a Hamiltonian Operator: The potential physical application of Anti Gravity, often tends to have a relatively high probability, of working to incur a tangential heuristic pulsation, upon the general topological manifold, of such a stated Hamiltonian Operator. Whereas; The potential physical application of heuristic Gravity, often tends to have a relatively high probability, of working to incur a co-tangential heuristic pulsation, upon the general topological manifold, of such a stated Hamiltonian Operator. TO BE CONTINUED! SINCERELY, SAM ROACH.

Perturbation Of Spatial Dimensionality Traveled Through

 When a given arbitrary Noether-Based Hamiltonian Operator, is to be traveling through a field of space and time, in which the eminently pertinent proximal local spatial dimensionality, is here to be in the general state of perturbation, it will consequently follow, that this general physical condition, will often tend to work to facilitate the formation, of a set of one or more Lagrangian-Based Chern-Simons-Related spurs, as taken over the reductional durational course of kinematic motion, in which such an inferred set or system of discrete quantum energy, is here to be in the general process, of being physically transferred, from one initially delineated spot to another. TO BE CONTINUED! SINCERELY, SAM ROACH. 

Sunday, December 11, 2022

Fourier-Related-Progression -- Homotopic Transfer

 For two different covariant Hamiltonian Operators, that are here to be traveling through symmetrically analogous paths: The stronger the Fourier-Related-Progression, the greater that the homotopic transfer will consequently tend to be. And; The weaker the Fourier-Related-Progression, the lower that the homotopic transfer will consequently tend to be. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Saturday, December 10, 2022

Recursive Incursion Of Perturbative Gravitational Force

 The recursive incursion of perturbative gravitational force, upon an otherwise De Rham cohomology-related topological manifold, will often tend to work to form, the consequentially impelled recursive incursion, of a resultant correlative set of eminently imparted Dolbeault-Related cohomology-based characteristics, as taken upon the interactive Lagrangian-Based motion, that is here to be of the directly associated Hamiltonian Operator, of which is to be working to form the earlier stated cohomology-related attributes, of which have been inferred to here, in the presentation of this particular case scenario. SINCERELY, SAMUEL DAVID ROACH. 

Anharmonic Co-Mingling Of Gravitational Forces With Anti Gravitational Forces

 When there is to be an Anharmonic co-mingling that is here to exist, between a set of proximal local gravitational forces, with a set of anti gravitational forces, this general type of a physical case scenario, will often tend to work to consequently produce a general tense of a "turbulence," in the innately latent locally present pressurized vacuum, that is here to be proximal local, to the physical cite in space and time, in which such a tense of an anharmonic co-mingling, is here to be occurring. SAMUEL ROACH.(1989).

Friday, December 9, 2022

Steady-State Gravitational Force -- Back To Basics

 The incursion of a steady-state tense of gravitational force, that is non perturbative, at the Poincare level to the immediately externalized vantage-point, of a directly affiliated correlative Hamiltonian Operator, of which is here to be proximal local, to this inferred steady-state tense of gravitational influence, tends to be eminently associated, with both a Flat Ricci Curvature, and, a smooth Ricci Flow. SAM ROACH.(1989).

Non-Escalating Lagrangian -- Steady-State Gravitational Force -- Gauge-Invariance

 The non-escalating Lagrangian-Based motion of a given arbitrary Noether-Based Hamiltonian Operator, that is to be proximal local to the functional operation of a steady-state tense of a heuristic gravitational force, is a general genus of physical characteristics, that may often work to facilitate the general physical condition of gauge-invariance. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Incursion Of Stable Gravitational Force

 The incursion of a stable gravitational force, upon the Lagrangian-Based motion of a given arbitrary kinematically delineated Noether-Based Hamiltonian Operator, often tends to facilitate the proximal local presence, of a De Rham cohomology. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Kahler-Related Quotient Of Homotopic Transfer

 Consider the cohomological mappable path, that is here to be, of the Lagrangian of a given arbitrary Hamiltonian Operator. Consider both the Clifford-Related Expansion, and, the Euclidean-Related Expansion, that are of the correlative Laplacian-Based setting, that is here to be directly associated, with the projected trajectory, of such an earlier stated cohomological mappable path. The quotient that is eminently perceivable, as being the resultant physical attribute, that is here to exist, when one is to mathematically consider the expression, that is of the stated Clifford-Related Expansion as being divided by the stated Euclidean-Related Expansion, to where this may often be consequently thought of, as being eminently associated with the Kahler-Related Quotient, of the homotopic transfer, that is here to often tend to be corresponding, to of the relatively piecewise continuous homotopic transfer, of the cohomological flow, of the mappable-tracing of the Lagrangian-Based path, that the earlier stated Hamiltonian Operator, is here to have just endeavored to work to form, in the general process of the multiplicity of its propagational conveyance, along the generally conceived of reductional topological manifold, that is of the perpetually curved Hamiltonian Operand, that is here to consequentially be eminently associated, with the projected trajectory of the Rarita Structure, that is here to work to form the multiplicity of interconnection, amongst the energy-related phenomenology, of the general panoply of space-time-fabric. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Wednesday, December 7, 2022

Apology For A Certain MistakenTerminology

 The concept that I had once called, "holomorphic transfer," would be more accurately portrayed, as being called, "homotopic transfer." I apologize for that! SINCERELY, SAMUEL DAVID ROACH. (1989).

Wave-Tug Of Hamiltonian Operator Frequency

 A Hamiltonian Operator that expresses a relatively deep Kahler-Based Quotient, often tends to exhibit a frequency, that is eminently associated with a relatively strong wave-tug, that is here to be directly corresponding, to the expression of its correlative angular momentum. 

Tuesday, December 6, 2022

Inverted Tense Of Frequency/Thought

 When an inverted tense of frequency and an inverted tense of thought, are to couple, in a heuristically hermitian manner, this may often tend to consequently work, to form a reductional tense of pulsation. SAMUEL DAVID ROACH. 

Escalating Hamiltonian Operator -- I*PI(del) Action

 A Hamiltonian Operator that is to spontaneously escalate, in either its dimensional-related pulsation and/or in its Lagrangian-Based projection, will tend to consequently spontaneously result, in the incursion of the eminent proximal local presence, of the kinematically initiated general operation, of the I*PI(del) Action. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Monday, December 5, 2022

Fourier-Related-Progression Of A Lagrangian-Based Expansion

 A Hamiltonian Operator, that works to express the Fourier-Related-Progression, of an escalating Lagrangian-Based Expansion, will tend to Not be gauge-invariant. SINCERELY, SAM ROACH. 

The Fourier-Related-Progression Of The Frequency Of A Cohomological Topological Manifold

 The Fourier-Related-Progression, of the frequency of a De Rham cohomological topological manifold, tends to be "crisper," than the Fourier-Related-Progression, of the frequency of a Dolbeault cohomological topological manifold. SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED! (1989).

Anti Gravitational Field/Gravitational Field -- De Rham/Dolbeault Cohomology

A Hamiltonian Operator, of which is to initially be expressing a De Rham cohomology, that is here to be traveling through an anti gravitational field, to where the earlier stated Hamiltonian Operator, is subsequently to be altered, into spontaneously entering the ensuing proximal local presence of a heuristic gravitational field, will often change here, into then working to express a Dolbeault cohomology. SAM. (1989).

Alteration In Gravitational Field -- Ricci Flow

 When the anti gravitational field, that is proximal local to a given arbitrary directly associated Hamiltonian Operator, of which is here to initially be expressing a recursively smooth Ricci Flow, is to spontaneously work to bear an eminent perturbation, into subsequently expressing the proximal local presence of a heuristic gravitational field, the directly associated viable Ricci Flow, will often tend to resultantly spontaneously stop, at its initially viable expression, of the earlier stated tense, of a recursively smooth Ricci Flow. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM. 

Alteration Of Gravitational Scenario

 When the gravitational field, that is proximal local to the motion, that is of a given arbitrary Hamiltonian Operator, is to alter -- from working to express anti gravity, into then subsequently working to express a heuristic tense of gravity -- there will often tend to consequently result, the spontaneously eminent proximal local directly associated presence, of a correlatively ensuing set, of one or more (spurious) Chern-Simons Singularities. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH. 

Saturday, December 3, 2022

Cool Too

 To my particular model of string theory; The holonomy of Zero-Point-Energy, is the smallest discrete phenomenology that can be divvied-out. I Furthermore venture, that; The Lagrangian of Zero-Point-Energy, is the smallest discrete motion that can be viably divvied-out. 

Next:

[(The product of the 8 main influences of physical nature, as taken at the reductional discrete quantum level, divided by the Planck Instant squared)]

=

[(The discrete Holonomy of Zero-Point-Enegy, multiplied by discrete mass squared -- as taken at the reductional quantum level)]. 

Furthermore:

[(The product of the 8 main influences of physical nature, as taken at the reductional discrete quantum level, divided by the Planck Instant squared)] 

-I*[The discrete Lagrangian of Zero-Point-Energy, multiplied by discrete mass squared -- as taken at the reductional quantum level)].

This is some, "food for thought." TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Friday, December 2, 2022

The Multiplicity Of The General Propagation Of The I*PI(Del) Action, Per Sequentially Respective Instanton

 The multiplicity of the general propagation of the I*PI(del) Action, per sequentially respective instanton, works to play a key role, in helping to facilitate the permeation, of what is known of as magnetism, to thence be able to be conducted through the general medium of space-time-fabric, in order to help to induct the general electrodynamic capability of capacitive materials, to be able to have a proximal local electrostatic flow, as eminently associated with its internally present spontaneously formed electrical current, that is thence to be generated, in so as to help to allow for the consequentially resultant flow of magnetism, that is eminently essential, in order to have the capacity of inducting any viable electrical flow, through any given arbitrary respective mass-bearing medium, of which is to bear a respective internally present propagation of charge-related eigenstates.  I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! (1989). SINCERELY, SAMUEL DAVID ROACH. 

Anharmonic Oscillating Net Gauged-Action

 A charged Noether-Based Hamiltonian Operator, that is here to be working to express an anharmonic oscillating net gauged-action, will tend to work to facilitate the generation, of a set of relatively highly entropic Chern-Simons Invariant metric-gauge eigenstates.  SINCERELY, SAMUEL DAVID ROACH.(1989). GENESIS HOUSE. 

Steady Tense Of Inertia

 A Noether-Based gauge-invariant Hamiltonian Operator, that works to express a De Rham cohomology, will have the general tendency of working to exhibit the display, of a steady tense of inertia. SAM.

Thursday, December 1, 2022

Cool

 [(The product of the 8 main influences of physical nature, as taken at their reductional discrete quantum level) per Planck Instant squared] 

= [Zero-Point-Energy*(discrete mass, as taken at its reductional quantum level, squared)].