Showing posts with label Riemannian. Show all posts
Showing posts with label Riemannian. 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.  



Wednesday, January 11, 2023

Non Perturbative First-Order Light-Cone-Gauge Eigenstate

The homogeneous Riemannian topological sway of a given arbitrary Fadeev-Popov-Trace eigenstate,  may often tend to result in a directly associated non perturbative first-order light-cone-gauge eigenstate. SAMUEL DAVID ROACH.

Wednesday, March 2, 2022

The Ricci Flow, And The "Betti Action"

 The correlative Ricci Flow, that is here to be eminently associated with the "Betti Action," during the course of BRST Quantization, tends to be represented, as a negative Real Riemannian Number. This just mentioned tendency, works to bear the direct involvement, with the workings of a positive Betti Number. Whereas; The correlative Ricci Flow, that is here to be eminently associated with the "Betti Action," during the course of the Regge Action, tends to be represented, as a positive Imaginary Number. This just mentioned tendency, works to bear the direct involvement, with a negative Betti Number. The Betti Number, will always tend to be represented, as a Real Riemannian integer value. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

As an aside: 

I worked to derive an equation, of which is here to relate, the Betti number of a given arbitrary specific case scenario, during a singularized iteration of BRST, and, the directly corroborative discrete energy of the Betti Action, of which is here to be directly associated, with the concurrent set of physical attributes, that are here to be eminently applicable, when the Betti number is as such. This particular equation, is:

THE DISCRETE ENERGY OF THE BETTI ACTION  

= i*e^((The Betti number)/(2*PI))/(e^(-(1/(The Betti number))).

If I properly recall mentioning the following in the past, a superstring may only be capable of compactifying/de-compactifying, by at the most 16 spatial dimensions all at once. So; By my particular model of string theory, the absolute Riemann value of the Betti number, may only be attributable, to a discrete scalar magnitude of "16." This would thereby work to signify, from what I can perceive, that when a particular "indistinguishably different" superstring is to alter, in its exhibited number of discrete spatial dimensions, by 16 of these inferred parameters all at once, that the Nijenhuis energy that is consequently emitted by the Betti Action from this, is About, 13i(Planck Transversal Energy) + (211PI*i)/(360) (Planck Radial Energy). To me; This mathematics alone, insinuates, that about 93 percent of our universe, is a combination, of what is purported to be, both dark matter and dark energy.  THANK YOU FOR YOUR SUPPORT!!!

Saturday, August 28, 2021

Phasing In And Out Between Perceivable "Planes"

 Once in a while; superstring-related phenomenology, may be able to phase back-and-forth -- from initially being completely dimensionally "cloaked" in a Nijenhuis "Plane" of perceptibility, to then being completely dimensionally present in a Riemannian "Plane" of perceptibility, while then going back into the general condition, of being completely dimensionally "cloaked" in a Nijenthuis "Plane" of perceptibility, and so on. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Sunday, August 4, 2019

When The Ricci Curvature Is Flat

Let's initially consider the condition, of a flat but smooth Ricci Curvature in string theory.
(Lambda*gravity) is here to be zero, to where e^(Lambda*gravity) is here to be one (1).
This is then to consequently mean, that there is then to be no progression in the tense of the deformity of the metric of the directly corresponding Riemannian manifold, -- to where the resultant Ricci Flow is then, in a way, to be null, -- since there is here to be no consequent change or alteration in the scalar amplitude of such an earlier eluded-to tense of deformity in the metric of such an inferred cotangent bundle, that is here to be moving through a given arbitrary Hamiltonian operand -- that is proximal local to the said Riemannian manifold, that is here to be kinematically translated along the space-related course of "free" tangent space.  So -- if there is here to be no perturbation in the deformity of the metric of a correlative Riemannian manifold, over a proscribed evenly-gauged Hamiltonian eigenmetric, then, there is then to be no Fourier-related progression in the Ricci Flow, which, in a way, is here to nullify (or, another way of putting it, is that it is here to make it as bearing zero change) the here proximal local tense of such a said Ricci Flow -- over the inferred brief duration of time, in which such a substringular situation is here to arise.
I will continue with the suspense later!  To  Be Continued!  Sincerely, Sam Roach.