Showing posts with label scattering. Show all posts
Showing posts with label scattering. Show all posts

Monday, March 13, 2023

Spontaneously Incurred Harmonic/Anharmonic Neutrino-Related Frequency -- Riemannian Scattering/Rayleigh Scattering

 When neutrino-related frequency is to be incurred upon, in so as to spontaneously become harmonically delineated, over time, this general process, may often work to help encode, for a Riemannian Scattering, of certain eminently effected electrodynamic eigenstates. Whereas; When neutrino-related frequency is to be incurred upon, in so as to spontaneously become delineated, in an anharmonic manner, over time, this general process, may often work to work to help encode, for a Rayleigh Scattering, of certain eminently effected electrodynamic eigenstates. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

When the inertial-based pulsation, of an eminently associated Kahler Hamiltonian Operator, is here to work to bear, a relatively strong momentum, it ( the stated Kahler Hamiltonian Operator), will consequently tend to spontaneously work to bear, a relatively succinct resolution, in the general relationship of its physical propagation, during the directly associated general course, of its directly associated Fourier-Related/Progression.  

A kinetically driven, swaying De Rham Kahler Hamiltonian Operator, that works to bear a fixed, central inertial-based flow of pulse, may often tend to exhibit, an enhancement of torque, that is viably stronger, than the torque that would hereunto be expressed, by an otherwise analogous implicitly kinematically delineated Hamiltonian Operator, that instead, is to be transversely propagated, without the added advantage, of a physical tense, of an implicitly incurred externalized field tensor operator.  

Radially applied homotopic restraint, that is here to be physically incurred, upon the topological manifold, of a given arbitrarily related, kinematically delineated Kahler Hamiltonian Operator, may often tend tend to work at facilitating, a viably spontaneous effect, upon the inherent gauged condition, of the hereupon implicitly considered, covariant physical operation, of the proximal local, net cohesive interdependent set, of the directly associated differential interplay, of the hereupon implicit “team,” of discrete energy impedance eigenstates.  Whereas; Transversally applied homotopic restraint, that is here to be physically incurred, upon the topological manifold, of a given arbitrarily related, kinematically delineated Kahler Hamiltonian Operator, may often tend to work at facilitating, a viably spontaneous effect, upon the inherent gauged condition, of the hereupon implicitly considered, covariant physical operation, of the proximal local, net cohesive interdependent set, of the directly associated differential interplay, of the hereupon implicit “team,” of discrete energy permittivity eigenstates. 

The harmonic Legendre flow, of a kinematically transferred Kahler Hamiltonian Operator, may often tend to be eminently associated, with a relatively succinct De Rham cohomology. Whereas; The anharmonic Legendre flow, of a kinematically transferred Kahler Hamiltonian Operator, may often tend to be eminently associated, with a relatively sporadic Dolbeault cohomology.  

The Fourier-Related-Progression, of a cohesive set of discrete energy permittivity, may often tend to be more facilitated, in the succinctness of its Lagrangian-Based motion, when the proximal local space-time vacuum, that such an implicit Hamiltonian Operator, is here to be in the general process, of being kinetically transferred through, is attributed to exhibiting, a relatively low viscosity, of an eminently inherent tense, of latent pressurized vacuum.  

The more resolute, that the Yau-Exact behavior is to be, for an eminently associated, Calabi-Yau Manifold, that is differentially covariant, in respect with the space-time-fabric, that it is moving through, the more resolute in physical behavior, that its directly associated proximal local Kahler-Metric, may often tend to be exhibited as. 

Conductive materials, that are able to work to express the dual characteristics, when utilized, of exhibiting both a high fractal modulus, And, a high elastic modulus, may often be quite sufficient, to be capable of exhibiting, to a relatively strong degree, the potentially auspicious characterization, of viably expressing the Kahler-Metric. 

An F-Field, often tends to be more super conformal invariant, at an internal reference-frame, than an eminently associated D-Field, often tends to be.  

A kinetically transferred, De Rham Kahler Hamiltonian Operator, may often tend, to exhibit a stronger tense, of cohesive electromotive charge, than an otherwise analogous Kahler Hamiltonian Operator, that instead, is of a Dolbeault cohomology-related nature. Moreover; A kinetically transferred, Dolbeault Kahler Hamiltonian Operator, may often tend to work, to exhibit a stronger tense of net entropy, than an otherwise analogous Kahler Hamiltonian Operator, that instead, is of a De Rham cohomology-related nature.  

When the force that is here to be incurred, upon the holonomic field, of a relativistic Real Gaussian mass-bearing topological entity, by the proximal local adjutant infringement, of the holonomic field, of a covariant relativistic Li Gaussian mass-bearing topological entity, is thence to work to bear, both a relatively long, and, a relatively conical holonomic metric-gauge of physical leverage, in the general process of the implicit kinematic dispensing delineation, that the stated Li Gaussian mass-bearing topological entity is here to impart, as upon the said Real Gaussian mass-bearing topological entity in question, that such a given arbitrary case scenario, may often thereby tend to spontaneously bear the consequential result, of a respective physical implementation of enhanced pressure, as implicitly incurred upon the relatively hermitian metric of compact mass-bearing eigenstates, to where such a given arbitrary physical situation, may thereby often tend to work to result, in the proximal local spontaneous exhibited presence, of a viable tense of dark energy, as hereby to be covariant in its delineation-related expression, in respect to the co-differentiation of the interdependent interaction, as taken between the cite of implicit kinematic alteration of hermitian mass-bearing topological disturbance, in lieu of its physical reaction with the hereunto implicit kinematic alteration of complex mass-bearing topological disturbance, as this is here to be considered, over the covariant duration, of a proscribed span of discrete time.

When a given arbitrary covariant region of spatial disturbance, is to work to exemplify a relatively different form, in terms of its eminently associated knotting of tertiary eigenstate, it will consequently often tend to be the case, that such a covariant implicit region, of kinematically interdependent co-differentiable spatial eigenstates, will thus, spontaneously tend to exhibit, a different genus, of viable physical field phenomenology.


Escalating thought-related frequency, may often tend to work to bear, a relatively succinct, eminently associated tense, of a corroborative sense of a Fourier-Related-Progression, over time.Furthermore; Escalating thought-related restraint, may often tend to work to bear, a relatively resolute, eminently associated tense, of a corroborative sense of a Fourier-Related-Progression, over time.  

The dividend of Yin Per Imagination/Free-Will, may often tend to produce a tense of Love. Whereas; The dividend of Yang Per Imagination/Free-Will, may often tend to produce a tense of Hate. Furthermore; Just as frequency is the inverse of time; Thought is the inverse of distance, and, Love/Hate is eminently the inverse of heuristic force. 

A highly vibrational physical field, of abelian light-cone-gauge topology, when spontaneously interacting, harmonically, with eminent proximal local sound, may often tend to spontaneously become viably capable, of working to produce an ensuing tense, of kinetically delineated, kinematically propagated, angular momentum eigenstates, that, if meticulously directed, via a respectively associated pattern of group action, may often tend to resultantly become, viably capable, of working to spontaneously induce the subsequent incursion, of transversel/radial motion, in the particular given arbitrary field, that such an earlier mentioned abelian phenomenology of implicit construct, is here to be steadily escalating, in its explication of vibrational homotopic recursion, at the immediately externalized vantage-point. 

When the Lagrangian-Based transfer, of the eminently associated propagated Schwinger-Related Indices, that are here to be generated tangentially, as taken away from the general region of a co-differentiable physical light-cone-gauge eigenstate, is to occur in such a manner, in so as to facilitate the kinematic motion of such implicit indices, to be spontaneously delineated in a holomorphic manner, over the general course of a proscribed duration of time; the resultant harmonic frequency of transmitted spatial disturbance, may often tend to be hermitian in its corroborative angular momentum, when taken in covariance, with the spontaneous heuristic response, of the space-time-fabric, that it is here to be recursively spatially transformed through, in a co-determinable manner.  



Monday, November 28, 2022

Riemann/Rayleigh Scattering Of Cohomology-Related Flow

 Charge often tends to facilitate, the Riemann Scattering of a cohomology-related flow. Whereas; Entropy often tends to facilitate, the Rayleigh Scattering of a cohomology-related flow. SAMUEL ROACH. 

Tuesday, May 31, 2022

As To Homotopic Dispersion; In Regards To The Correlative Scattering Of Abelian Cohomology-Related Eigenstates

 The homotopic dispersion of abelian cohomology-related eigenstates, when in terms of its eminent relationship, with the general correlative kinematic Fourier-Related-Progression, in which the recursive re-calibration of the directly associated Chern-Simons Invariants, that is to be Gliosis to the proximal local operation, in which there is here to be a given arbitrary generative operation, in which there is to be a Nijenhuis tense of the scattering of homotopic residue, is thence to bear a general tense of an interdependent respective association, to where its correlative relationship with such a scattering, as enacted upon such an implied tense of a given arbitrary set of homotopically dispersed abelian cohomology-related eigenstates, is to directly appertain, to a tense of the scattering of a relatively inert general genus of homotopic substrate, in part, on account of the general condition, that abelian cohomology-related eigenstates, often have the reductional tendency, of working to act as being more conformally invariant in their behavior, at an internal reference-frame, than the homotopic substrate of non abelian cohomology-related eigenstates, will tend to exhibit. Since the scattering of abelian homotopic residue, tends to work to involve, a tense of the scattering of of a relatively inert homotopic substrate, this general venue of a process, will thereby have the general tendency, of working to bear a greater scalar amplitude, of a metaphorical tense of "friction," over the general course, in which such a genus of homotopic substrate, is here to be scattered. Friction implies a tense of "disordered resistance." Disordered Resistance implies entropy. The general phenomenology of disordered resistance, when in terms of elucidating an explanation, as to the workings of electrodynamic residue, is aptly facilitated, when in terms of the characteristic utilization of Nijenhuis mathematical expressions. This, in part, is what I perceive as to be, the general idea, as to why the homotopic dispersion of a set of abelian cohomology-related eigenstates, tends to work to facilitate, the general formation, of the reductional phenomenology of Entropy. Sincerely, SAM ROACH.

Wednesday, May 4, 2022

Harmonics Of Schwinger-Indices -- General Types Of Scattering

 Harmonic propagated Schwinger-Indices, often have the general tendency, of having an enhanced capability, of working to help influence, the multiplicity of the formation of a Riemann Scattering, Whereas; Anharmonic propagated Schwinger-Indices, often have the general tendency, of having an enhanced capability, of working to help influence, the multiplicity of the formation of a Rayleigh Scattering. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Tuesday, April 5, 2022

Rayleigh Scattering/Riemann Scattering -- Relative Tense Of Space-Time Viscosity

When a Rayleigh Scattering is to be incurred, as this is being eminently acting in a Yukawa-Based manner, upon a given arbitrary Noether -Based holonomic tense of space-time-fabric, this may often have the general tendency, of working to bear a fairly high probability, of being eminently associated, (as the said scattering is to be acting in a Gliosis-Related manner, upon the general region at which the said/inferred scattering is here to have been occurring), with the exhibition of a respective region, that is here to be working to bear a Relatively Heightened State, of a proximal local tense of viscosity, as this is here to be considered, along the dispersive topological manifold, that is here to be situated, in a given arbitrary respective spot in time and space; Whereas; When a Riemann Scattering, is to be incurred upon a given arbitrary Noether-Based holonomic tense of space-time-fabric, this may often have the general tendency, of working to bear a fairly high probability, of being eminently associated, with the exhibition of a respective region, that is here to be working to bear a Relatively Diminished State, of a proximal local tense of viscosity, as this is here to be considered, along the dispersive topological manifold, that is here to be situated, in a given arbitrary respective spot in time and space. TO BE CONTINUED! SAM ROACH.

Tuesday, March 15, 2022

Homotopic Dispersion -- Riemann/Rayleigh Scattering

 When a given arbitrary tense of homotopic dispersion is to happen, via a Riemann Scattering, this will often have the general tendency, of working to form magnetism, of which will tend to reverse-fractal into electrodynamic charge.  Whereas; When a given arbitrary tense of homotopic dispersion is to happen, via a Rayleigh Scattering, this will often have the general tendency, of working to form a local tense of holonomic disorder, of which will tend to reverse-fractal into entropy. TO BE CONTINUED! SAMUEL.

Sunday, February 20, 2022

Perturbation Of Chern-Simons Invariants — Facilitated Scattering

 Harmonically perturbative Chern-Simons Invariants, may often have the general capability, of tending to work to facilitate, a tense of Riemann Scattering(s). Whereas; Anharmonic-Related perturbative Chern-Simons Invariants, may often have the general capability, of tending to work o facilitate, a tense of Rayleigh Scattering(s). I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL.

Monday, February 7, 2022

Consonant Gravitational Vibrations Incurred Upon Mass-Bearing Energy, Via A Riemann Scattering

 When a given arbitrary general tense of a cohesive set of consonant gravitational vibrations, are here to be incurred, upon a Noether-Based mass-bearing cohesive set of discrete energy quanta, to where these are to interact with such an inferred "team" of discrete mass-bearing energy quanta, in such a general manner, in so as to work to form a relatively direct interaction, which may here to described of, as being, a certain particular genus of a Riemann Scattering, to where this reductional tense of a Wess-Zumino-Related action, may at times, often tend to form, what may simply be described of here, as being the resultant tangential propagation, of a set of one or more vowel sound phenomenology, of which may here, in this given arbitrary particular case scenario, be of the general nature, of having a basically inaudible respective proximal local eminent presence here. I WILL CONTINUE WITH THE SUSPENSE LATER(SOON)! (1989!).TO BE CONTINUED! SINCERELY, SAMUEL.

Monday, January 31, 2022

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.

Friday, December 17, 2021

Heuristic Dispersion/ Inverse Dispersion

 An initial "bundle," of a topological grouping of entropic eigenstates, will often have the general tendency, of working to bear an ensuing spontaneous heuristic dispersion, over the respective duration, of a relatively transient Fourier-Related field progression. Whereas; An initial "bundle," of a topological grouping of relatively highly magnetic eigenstates, will often have the general tendency, of working to bear an ensuing spontaneous inverse dispersion, over the respective duration, of a relatively transient Fourier-Related field progression . A Heuristic dispersion, often tends to be associated with a Rayleigh scattering of physical eigenstates, as opposed to bearing an eminent association with a Riemann scattering of physical eigenstates. Whereas; An inverse dispersion, often tends to be associated with a Riemann scattering of physical eigenstates, as opposed to bearing an eminent association with a Rayleigh scattering of physical eigenstates. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAMUEL DAVID ROACH.

Sunday, January 10, 2021

Homeomorphic Nature And Scattering

 When the Motion of a cohesive set of discrete energy quanta, is to be brought Into a tense of working to display a homeomorphic nature, this often tends to be the case, of a general genus of a  Riemann scattering. Furthermore; when the Motion of a cohesive set of discrete energy quanta, is to be brought Out of a tense of working to display a homeomorphic nature, this often tends to be the case, of a  general genus of a Rayleigh scattering. I will continue with the suspense later! To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Diffeomorphism And Scattering

 When a cohesive set of discrete energy quanta, is to be brought Into a condition of diffeomorphism, this often tends to be the case, of a general genus of a Riemann scattering. Furthermore; when a cohesive set of discrete energy quanta, is to be brought Out of a condition of diffeomorphism, this often tends to be the case, of a general genus of a Rayleigh scattering. To Be Continued! Sincerely, SAMUEL DAVD ROACH. (1989). 

Thursday, December 24, 2020

Harmonics Of Pressurized Vacuum Perturbation

 The general harmonic perturbation, of a given arbitrary tense of a Ward-Cauchy-related pressurized vacuum, tends to “move” in the “direction,”of inclining those effected discrete quanta of energy, that are thence to be directly influenced, by such a general genus of a given arbitrary tense of a harmonic perturbation, — to have an increased probability of tending to work to form the physical conditions, of working to bear a Riemann Scattering; Whereas — the general anharmonic perturbation, of a given arbitrary tense of a Ward-Cauchy-related pressurized vacuum, tends to “move” in the “direction,” of inclining those effected discrete quanta of energy, that are thence to be directly influenced, by such a general genus of a given arbitrary tense of an anharmonic perturbation, — to have an increased probability of tending to work to form the physical conditions, of working to bear a Rayleigh Scattering. SAMUEL.

Sunday, September 6, 2020

Increased Entropy Of The Multiverse

 The increased entropy of the multiverse is directly influenced in part, by the multiplicity of the compounded residual effect -- of the continual scattering of photons in time and space. Sincerely, Sam.

Wednesday, November 6, 2019

Scattering As Just One General Genus Of Perturbation

The difference between a Wess-Zumino interaction and a Reimman interaction (as in a Reimman scattering), is that the general idea as to what a Wess-Zumino interaction is, is that it may be any one given arbitrary general type of a Ward-Cauchy-related harmonic perturbation; whereas -- a Reimman interaction (again, as in a Reimman scattering), is the general idea as to what a Ward-Cauchy-related harmonic scattering is to be.  Furthermore, -- the difference between a Cevita interaction and a Rayleigh interaction (as in a Rayleigh scattering), is that the general idea as to what a Cevita interaction is, is that it may be any one given arbitrary general type of a Ward-Cauchy-related anharmonic perturbation; whereas -- a Rayleigh interaction (again, as in a Rayleigh scattering), is the general idea as to what a Ward-Cauchy-related anharmonic scattering is to be.  A Ward-Caucy-related scattering, is only one general genus of a Ward-Cauchy-related perturbation.  To Be Continued!  Sam Roach.

Friday, March 1, 2019

Light Scattering And Gravity Waves

Whenever a photon is to strike an electron, -- the here implied Gliosis-related contact, will tend to be here, an eminent Yukawa Coupling between the said photon & the externalized core-field-density of a first-order light-cone-gauge eigenstate, that is of such a said electron.  Not only will such a direct contact -- as is here to be between a discrete quantum of electromagnetic energy (a photon) and a first-order light-cone-gauge eigenstate that is of one electron (at the externalized field-density of such) -- work to help at causing the so-stated electron to fall back-and-forth an energy level, in so as to work to form a photon, (since such a general condition, works to involve an electron to here to be releasing its spare energy, in the form of a discrete quantum of electromagnetic energy -- in so as to be in a state of optimum rest), yet, such an inferred tense of the scattering of light or electromagnetic energy, since it is here to involve a direct contact upon the external core-field-density of a given arbitrary light-cone-gauge eigenstate, this will happen to where such a general genus of activity, is thus to work to have an eminent effect upon those vibrational oscillations, that are here to be produced by the plucking of the composite second-order light-cone-gauge eigenstates, of which work to comprise the earlier mentioned first-order light-cone-gauge eigenstate.  Consequently, -- such a wave-tug upon the proximal local field -- as to where the inferred Schwinger-Indices that are here, when combined in an appropriate manner,  to be involved in the formation of gravity waves -- to where these inferred-to propagated vibrations, that are here to ripple-out, in so as to work to help at causing both the presence and the activity of the four general forces of physical nature -- are then to tend to become of more of an anharmonc nature, when such a Gliosis-related contact is to be happening, when this is in terms of a beam of electromagnetic energy to be scattering upon the electron of a given arbitrary atom.  This general genus -- that is of an increased tendency of anharmonic vibration-related activity, will then tend to work to increase the relative entropy of such an inferred to proximal local region.  I will continue with suspense later!  To Be Continued!  Sincerely, Samuel Roach.

Monday, October 1, 2018

Diffeomorphism And Interactions

When a Wess-Zumino interaction is to happen to a substringular manifold, in a Yukawa-related manner -- via a directly corresponding Reimman scattering, over time, -- it will tend to become of a relatively more diffeomorphic nature.  However, when a Cevita interaction is to happen to a substringular manifold, in a Yukawa-related manner -- via a directly corresponding Rayleigh scattering, over time, -- it will, instead, tend to become of a relatively less diffeomorphic nature.

Monday, September 3, 2018

Gauge-Transformations And Kahler-Metric

A Gauge-Transformation is that special case -- as to when a set of one or more superstrings that are of one proximal locus, are Gliosis to the Kahler-Metric -- in which there is the direct involvement of the scattering of electromagnetic energy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, August 15, 2018

Annharmonically Scattered Orbifold Eigenset

Let us initially consider an orbifold eigenset, that is undergoing a Majorana-Weyl-Invariant-Mode.  It is thus, at the moment here, under the Ward-Cauchy constraints of a tense of conformal invariance, or, in this case, of a tense of superconformal invariance -- at an internal reference-frame, that is Poincare to the topological stratum of the said orbifold eigenset. Such a superconformally invariant orbifold eigenset, is here to tend to be exhibiting a De Rham cohomology.  It is then to be scattered, via a Rayleigh scattering, of which is of an annharmonic scattering.  This will then tend to mean, that the orbifold eigenset that is of such a case -- will tend to be perturbated out of its initially stated De Rham cohomology, into a Doubolt cohomology, at least initially -- in the process of being scattered  out of such a tense of a Majorana-Weyl-Invariant-Mode.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Thursday, March 29, 2018

Some Additional Stuff About Cohomological Generation, I

Let us consider a discrete superstring of discrete energy permittivity, that works to move through a discrete Lagrangian path over time.  The said superstring is here to be interacting in a Gliosis-related manner, with those norm-state-projections that are in its immediate path -- in the process of moving through the Hamiltonian operand that is amidst of its said Lagrangian-related path.  Such so-stated projections, are here to be scattered upon their direct contact.  These said norm-state-projections are either to be scattered in a harmonic manner, or, in an enharmonic manner -- over the directly corresponding sequential series of group-related instantons.  A scattering at the Ward-Cauchy-related level, is said to be of a Reimman-related manner -- if the adjacent displaced eigenindices are said to have an even parity.  Furthermore -- a scattering at the Ward-Cauchy-related level, is said to be of a Rayleigh-related manner -- if the adjacent displaced eigenindices are said to have an odd parity.  If the said scattering is of a Reimman-related manner -- the directly corresponding scattering is said to be of a harmonic nature.  Yet, if the said scattering is of a Rayleigh-related manner -- the directly corresponding scattering is said to be of an enharmonic nature.  When a Ward-Cauchy-related scattering is of a Reimman-related nature -- it is said to be generating cohomology. Yet -- when a Ward-Cauchy-related scattering is of a Rayleigh-related nature -- it is said to be degenerating cohomology.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel Roach.