Showing posts with label path. Show all posts
Showing posts with label path. Show all posts

Friday, December 30, 2022

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 15, 2022

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. 

Saturday, October 1, 2022

Recursively Heuristic Homotopic Path

 A holomorphic directed, recursively heuristic, homotopic path, often tends to be tantamount, to a progressively holomorphic, recursively isometric, mappable homotopic region-based path. SAM.

Wednesday, June 22, 2022

Lagrangian-Based Spurs -- Entropy

 A given arbitrary cohesive Noether-Based Hamiltonian Operator, that spontaneously works to form the  general phenomenology of Lagrangian-Based spurs, as taken along the motion-related mappable cohomological  path, via which it is here to be propagated, over the durational course, of its directly corresponding Fourier-Related-Progression, will often have a greater probability, of tending to bear a proximal local tense of entropy, than an otherwise analogous given arbitrary cohesive Noether-Based Hamiltonian Operator, that does NOT spontaneously work to form the general phenomenology of Lagrangian-Based spurs, again, as taken along the motion-related mappable cohomological path, via which it is here to be propagated, over the durational course, of its directly corresponding Fourier-Related-Progression. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH. (1989).

Sunday, May 29, 2022

Civita Action Incurred Upon Symmetrically Wobbling Hamiltonian Operator

 When a Civita Action is to be incurred, upon an initial symmetrically wobbling heuristic Ward-Cauchy-Related Noether-Based mass-bearing Hamiltonian Operator, such a stated Operator, will often have the general tendency, of consequently reacting to such an inferred anharmonic incursion, in a general perturbative manner, by resulting in the ensuing exhibition, of consequentially tending to work to spontaneously display, a set of one or more asymmetric spin-orbital tensors, that are here to be delineated upon the eminent field-density of the mentioned Hamiltonian Operator, at a level that is Poincare to the proximal local substrate, that is here to work to facilitate, the incursion of the kinematic presence, of that holonomic Lagrangian-Based motion, of which works to help facilitate the kinetic spatial transference, of the topological manifold, that is here to be eminently associated, with the structural modulus of the recursive spatially transferred Hamiltonian Operator, that is here to be spatially delineated, over the course of space and time, along its general Lagrangian-Based path, over the course of its directly corresponding Fourier-Related-Progression. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

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).

Monday, January 3, 2022

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.

Tuesday, December 14, 2021

Monomial Kahller-Based Quotient -- Unitary Mass-Bearing Set Of Discrete Energy Quanta

 When the Kahler-Based Quotient, that may be considered in such a given case here, to work to convey a tense of the dimensional-related flow, on account of the correlative kinetic transport, of which is here to be due to the directly corresponding Yukawa-Based incursion, of a correlative respective Legendre (co)homology,  to where the phenomenology that is here to be kinematically transferred, by the inferred Fourier-Related progression of the stated Legendre (co)homology, is of a Noether-Based mass-bearing cohesive set of discrete energy quanta, in which the earlier mentioned Kahler-Based Quotient, that may be described of, as working to bear a monomial expression of an inertial state of pulsation, will thereby often tend to result, to where this general type of a Ward-Cauchy-Related interaction, that is here to be incurred upon the herein inferred mass-bearing Hamiltonian Operator of such a given respective case, will thereby often work to imply the general proximal local physical condition, by which the Lagrangian-Based motion of such an inferred mass-bearing set of discrete energy, may therefore often tend to work to be directed in a holomorphic manner, into a unitary Lagrangian-Based path, over the durational course of a sequential series of group-related instantons. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM. 

Wednesday, December 8, 2021

Sporadic Gauged-Action

A given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that works to bear a sporadic gauged-action, which this is to happen through a Lagrangian-Based path, when this is here to occur, over the durational course of a Fourier Transformation, has the general tendency, of often working to bear a set of one or more Chern-Simons singularities. TO BE CONTINUED! SINCERELY, SAMUEL.

Tuesday, June 22, 2021

Homotopic Wave -- Increased Impedance -- Increased Frequency

 A given arbitrary physically transferred homotopic wave, that is here to work to maintain a constant force, in a transversally exhibited manner, upon the Hamiltonian Operand of the Lagrangian-Based path, that it is here to be moving through, over time,  -- of which is to spontaneously have an increased tense of impedance incurred, upon its correlative field of topological manifold, will often tend to increase in its directly associated frequency of motion, since the condition by which the said respective wave, that is here to be exhibiting a constant applied scalar amplitude of force, upon the space-time-fabric that it is to be moving through, is to logically slow down in its transversal delineation of motion, due to the proximal local application of an inferred external application of impedance, that is incurred upon the said wave-like entity, to where, since the time that it is now going to take for the said wave to transversally "move" from one spot to another, will increase, -- to where the theoretical amount of Time that it would take, for such a wave to complete each overall iteration of its "sinusoidal path," will Decrease, -- which will thereby tend to result, in an Increased Frequency, of the Lagrangian-Based motion, that is here to be directly associated with an inferred spatially translated energy state, that is to be propagated from one given arbitrary covariant locus of Origin, to its subsequently reached given arbitrary covariant locus of Destination. I WILL CONTINUE WTH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989). HELLO GENESIS HOUSE!

Saturday, May 29, 2021

Another Refinement — As To Anti Holomorphic Kahler conditions

 Here is another refinement that I have just thought of lately, as to more properly perceiving my particular model of string theory that I have been working to develop:

Let us initially imagine a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be starting out — moving in a hermitian-related manner, along its directly corresponding Lagrangian-Based path. Let us next stipulate, that such a said cohesive set of discrete energy, is here to be in the process of being propagated in a certain manner, to where it is here to be spatially transferred, over a proscribed given arbitrary span of time, as a maintained six-spatial dimensional physical entity. Next; let us say, that this herein inferred set of energy quanta, is to all of a sudden, spontaneously alter from its initial tense of a hermitian-related flow, — to where, at a certain given arbitrary locus in space and time, as this is here to be taken along the mappable-tracing of its directly associated Lagrangian-Based path, such a said set of energy quanta is to spuriously change in seven spatial derivatives,  to where again, this is here to be happening at the earlier implied given arbitrary locus in space and time, at which the inferred sudden and spontaneous alteration of projected trajectory, is here to be occurring. This just inferred perturbation of sorts, is therefore to work to signify, that the perturbative locus at which such an alteration is here to occur, is then to act or operate, as a first-order Lagrangian-Based Chern-Simons singularity. Let us next say, that this said “singularity,” is to be happening in a “cross-product-related manner” (via the ‘vantage-point” of the holomorphic positioning of its angular momentum eigenstate)  — to where, —although this will tend to work to alter what the holomorphic direction of the cohesive set of energy is to specifically be projected in, that this will, however, tend to not work to form any viable set of anti holomorphic Kahler conditions. Yet; if instead, the inferred sudden and spontaneous alteration of projected trajectory, is here to be occurring as Similar to before, Yet, to where the directly associated first-order Lagrangian-Based Chern-Simons singularity that is here to be formed, is to be happening, instead, in a “dot-product-related manner” (via the “vantage-point” of the holomorphic positioning of its angular momentum eigenstate) — that this  particular tense of a genus of a Lagrangian-Based Chern-Simons singularity, will thereby result in tending to work to form a set of anti holomorphic Kahler conditions, — as the earlier mentioned mass-bearing cohesive set of discrete energy quanta, is thence to be pulled into a potentially different genus of an alteration in its general genus of holomorphic topological sway, as this is here to be taken along its correlatively morphed Lagrangian-Based Flow. This second general genus of a perturbative Lagrangian-Based Flow, is thereby to tend to be more likely to work to form a set of physical conditions, by which the herein described cohesive set of discrete energy quanta, may have a greater potential than in the other case scenario, to become Gliosis to the Kahler-Metric. To Be Continued! Sincerely, SAM ROACH. (1989).

Monday, May 17, 2021

Some Definitions -- Appertaining To My Model Of String Theory

 Hamiltonian Operator -- 1) The overall energy of a system.

                                          2) The overall zero-point energy of a system.


Lagrangian -- 1) The actual motion of a discrete quantum of energy.

                      2) The actual motion of a cohesive set of discrete energy quanta.

                      3) The actual motion of a Hamiltonian Operator.


Hamiltonian Operand -- The proximal local physical Substrate, of which a Hamiltonian Operator is to be traveling through, over the course of a proscribed duration of "time."


Lagrangian-Based Path -- The sequential series of the mappable-tracing, of a Hamiltonian Operand.


Hamiltonian Operation -- 1) The functional tendency of action, of which a given arbitrary Hamiltonian Operator is to incur, upon its respective Ward-Cauchy-Related environment.

                                         2)The actual kinematic activity of a Hamiltonian Operator.

                                         3) The actual gauged-action of a Hamiltonian Operator.


Time -- The successive series of covariant group-related instantons. 

I encourage Anyone to provide input -- as to your ideas, appertaining to this blog! Sincerely, SAM.

                      

Sunday, May 16, 2021

Lower Viscosity Of Space-Time-Fabric Traveled Through -- Higher Electrodynamic Permeability

 The LOWER that the viscosity is to be, that is here to be of a given arbitrary tense of space-time-fabric, of which a given arbitrary mass-bearing cohesive set of discrete energy quanta, is to be traveling through, the GREATER that the tendency will consequently tend to be, that the said space-time fabric, that the inferred respective "team" of energy quanta, is here to be in the process of being transferred through, will consequently have a resultant tendency, of working to bear a HIGHER electrodynamic permeability -- as the stated "team" of energy quanta, is to be tugged through its directly corresponding given arbitrary respective Lagrangian-Based path. It follows, then; that the HIGHER that the viscosity is to be, that is here to be of a given arbitrary tense of space-time-fabric, of which a given arbitrary mass-bearing cohesive set of discrete energy quanta, is to be traveling through, the GREATER that the tendency will tend to be, that the said space-time-fabric, that the inferred respective "team" of energy quanta is here to be in the process of being transferred through, will consequently have a resultant tendency, of working to bear a LOWER electrodynamic permeability -- as the stated "team" of energy quanta, is to be tugged through its directly corresponding given arbitrary respective Lagrangian-Based path. I will continue with the suspense later! SAMUEL DAVID ROACH. 

Monday, May 10, 2021

Harmonic/Anharmonic Lagrangian-Based Path -- Harmonic/Anharmonic Delineation -- Rarita Structure Eigenstates

 The more harmonic that a given arbitrary Lagrangian-Based path is to be, that a given arbitrary cohesive set of discrete energy quanta is to be traveling through, over a correlative proscribed duration of time, -- the more harmonic that the directly corresponding delineation-related distribution, of the correlative respective Rarita Structure eigenstates, will consequently tend to result in being displayed as. It follows, that; The more anharmonic that a given arbitrary Lagrangian-Based path is to be, that a given arbitrary cohesive set of discrete energy quanta is to be traveling through, over a correlative proscribed duration of time, -- the more anharmonic that the directly corresponding delineation-related distribution, of the correlative respective Rarita Structure eigenstates, will consequently tend to result in being displaying as. SAM ROACH. (1989).

Wednesday, January 27, 2021

Nature Of Lagrangian-Based Paths And Conservation Of Homotopic Residue

 When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a unitary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a unitary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a binary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a binary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a tertiary Lagrangian-based path -- then, each  correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work bear a tertiary directoral; etc... . To Be Continued! Sincerely,  SAMUEL DAVID ROACH. (1989).

Sunday, January 10, 2021

Isotropic Stability And Homeomorphic Field

 The more isotropically stable, that the Fourier Transform, that is here to be of a Noether-based mass-bearing cohesive set of discrete energy quanta, is to be translated as, while it is here to work to bear the general manner of exhibiting the workings of a De Rham cohomology -- while such a herein stated cohesive set of discrete energy quanta, is here to be transferred through time and space -- from one spot to another, -- the more likely that the mappable-tracing, that is here to be of the cohomology-related projection, of the inferred directly corresponding propagated path, that is correlative to the direction of the Lagrangian-based path, that the earlier mentioned mass-bearing cohesive set of discrete energy quanta, is here to be traveling along, over a duration, that is here to work to involve a sequential series of group-related instantons, (as taken, over an evenly-gauged Hamiltonian eigenmetric), this will thereby often consequently tend to result, in the exhibition or display, of the propagation of a respective genus of a homeomorphic field. I will continue with the suspense later! Sincerely, SAMUEL ROACH. (1989).

Wednesday, December 2, 2020

Coupling “Series” Of “Cyclic Permutation”

 Here’s my take, as to how one may be able to attempt to calculate — the general scalar magnitude, of an eigenstate of a Sub-Cohomology-related “topological manifold.” : 

1) Initially, consider the following Coupling “Series” Of “Cyclic Permutation.”;

[{OF N=1}((((e^(((e^((i!)*(N/2)))*(1/N)))/e^(((-i)!*(N/2))^(-1))) * {OF N=2}((((e^(((e^((i!)*((N(1)+1)/2)))*((1/(N(1)+1)))/e^(((-i)*((N(1)+1)/2))^(-1))) * {OF N=3}... [UP TO THE Integer Number Of The Directly Corresponding Beti Number, {This is to where, “N” is the absolute value of the directly corresponding Beti Number}]]  Multiplied By [The directly corresponding value, that is here to be directly corresponding to The i*PI(del) Action {To Where, if one is here to be dealing with only one discrete increment of the i*PI(del) Action, one will here be applying the value of “8.635858*10^(-63) Coulombs-Seconds}] Multiplied By [The Lagrangian Of The correlative Zero-Point-Energy{ Or, in other words, as multiplied ty the value of (-i)* the scalar magnitude of the correlative zero-point-energy, as in terms of Joules-Seconds}]. This is, at this particular point in explanation, just beginning to describe the general scalar magnitude of sub-cohomology.  In the Real World, one is to also be have the need to couple this math, — with the application of an appropriate given arbitrary path integral. Enough for now! Sincerely, Samuel David Roach. (To Be Continued!) (PHS 1989). P.S.: I apologize if I may have made any errors in the “parentheses.” I’ll check this again tomorrow!

Wednesday, July 8, 2020

Metric-Gauge-Related Pulsation And Holomorphic Subtension

Let us initially consider two different given arbitrary orbifold eigensets, that are here to be working to bear a Yukawa-related coupling upon one another -- to where the resultant inferred overall interdependent field, that is thus formed by the consequential kinematic interaction of the two different implied cohesive sets of discrete energy quanta, -- is to be of a nature, that is here to be both covariant, co-differentiable, and co-determinable, over a relatively limited span of time (of which may be mathematically considered in this case, via the application of a correlative Fourier Transformation).  If both of the herein stated orbifold eigensets, when individually taken in respect to the other correlative orbifold eigenset of such a given arbitrary case scenario, are to be subtended in the relative holomorphic path of the other respective orbifold eigenset, -- then, the consequential resultant interdependent covariant field, that is thus formed by the Yukawa-related coupling of these two inferred cohesive sets of discrete energy quanta upon each other, will then tend to work to bear a relatively greater absolute value of a scalar magnitude of metric-gauge-related pulsation, -- than if these two different earlier implied interdependent orbifold eigensets were, instead, to not be subtended in the holomorphic path of one another, -- over the durational course of the earlier inferred tense, of a correlative Fourier Transform.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Monday, January 27, 2020

Re-Iterative Alteration Of Charge

Let's initially consider a charged mass-bearing orbifold eigenset, that is here to be traveling via a path, that is iterative in its tense of Lagrangian-related flow.  The Ward-Cauchy conditions of its said iterative tense of Lagrangian-related flow is consistent, except that the propagation of the said orbifold eigenset is to go from working to bear the constraints of a unitary Lagrangian, to then working to bear the constraints of a binary Lagrangian, to then going back into working to bear the constraints of a unitary Lagrangian, and so on, -- as the propagation-related projection of the said eigenset of such a case, is to be reiterating in its tense of a flow of motion -- over a directly corresponding repetitive evenly-gauged Hamiltonian eigenmetric.  Consequently; the said orbifold eigenset of such a particular case, will then tend to go from bearing a certain scalar magnitude of cohomology-related generation, to working to bear a higher scalar magnitude of cohomology-related generation, into ensuing to bear its initial inferred scalar magnitude of cohomology-related generation, and so on, -- as the here implied set of discrete quanta of energy, that are here to operate in so as to perform one specific function, is to propagate in a repetitive tense of a path-related flow of motion, -- that is otherwise of the same general genus of substringular boundary conditions.  Such a re-iterative alteration of charge, will then tend to work to reverse-fractal into working to form a Ward-Cauchy-related tense of an initial scalar magnitude of charge, into consequently altering into working to form the reverse-fractal of a higher scalar magnitude of a Ward-Cauchy-related tense of charge, while then going back into working to form the reverse-fractal of the initially inferred scalar magnitude of a Ward-Cauchy-related tense of charge, and so on.  Such a process of a re-iterative alteration, or perturbation of charge, will tend to occur, in so long as the motion of the said orbifold eigenset, is to be consistent, With the exception of going from working to bear a unitary Lagrangian-based flow, into working to bear a binary Lagrangian-based flow, and back again, -- as the said eigenset is here to be reiterating, in its directly corresponding pattern of a flow of motion, over a discrete quantum of time.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Tuesday, January 14, 2020

Gauge-Actions And Monomial-Based Path

A set of gauge-actions are said to bear a monomial tense of a path, -- when this said set of gauge-actions, are to only work to bear one pattern of a Lagrangian-based path.  Let me explain this here in more detail.  A Lagrangian is the actual motion that energy is to exhibit.  Consequently; when one is here to be dealing with a set of discrete quanta of energy, -- the correlative Lagrangian, is the actual motion that the said respective set of discrete quanta of energy, is here to exhibit.  Next;  Let's say that there are to be four different superstringular activities, that are here to be occurring at a general proximal local region.  Whether or not the scalar amplitude of each of these inferred Ward-Cauchy-based Fourier-related activities are to be of the same magnitude, each of these superstringular activities is here, in this particular case, to exhibit the exact same route of transfer Of their individually taken overall discrete quanta of energy (one overall set of discrete quanta of energy for each individually taken set of gauge-actions).  Since each of the four said sets of gauge-actions, are here to be displaying the same path, by which their correlative energy is to be transferred, -- there is here to be only one type of pattern of Lagrangian-based path to be considered here.  One could then, theoretically, map-out the actual path of each of these sets of gauge-actions upon each other, in a Laplacian-related manner, -- and, these would consequently, then, be able to overlap.  Consequently; there is here to be only one type of overall path of energy, that is here to be exhibited.  This, thereby, works to constitute a monomial tense of a path. To Be Continued! Sincerely, Samuel David Roach.