Showing posts with label abelian. Show all posts
Showing posts with label abelian. Show all posts

Tuesday, July 21, 2026

The Next…

 Mild local inversions of the Ricci Curvature, may often tend to facilitate, an enhancement of the succinct behavior,  of the eminently corroborative Fourier-Related-Progression. 

Mild local inversions of the Ricci Curvature, may often tend to facilitate, an enhancement of the electromotive permeability, of the eminently corroborative, Fourier-Related-Progression. 

The Abelian expression, of an eminently associated Fourier-Related-Progression, tends to bear the general tense, of a pressure-related Lagrangian-Based Drive, in lieu of its directly corroborative genus, of space time related permeability. 

Mild local inversions of the Ricci Curvature, may often tend to enhance, the existent capability, of macroscopic, kinematically propagated, Kahler Hamiltonian Topological Manifolds, to have a stronger ability, to be able to permeate through space time fabric, with a lowered necessity, of having to rely on the usage, of such a viable tense of physical pressure, that the implicit team of cohesive mass-bearing discrete energy eigenstates, would otherwise have the need of utilizing, if it weren’t for the implicit local proximal local incursion, of the application of anti gravity. 

Mild local inversions of the Ricci Curvature, may often tend to facilitate, the spontaneous coupling of angular frequency, with its eminently corroborative i*PI(Del)Action-related eigenstate.

Mild local inversions of the Ricci Curvature, may often tend to deter, the spontaneous coupling of angular momentum, with its eminently corroborative i*PI(Del)Action.

The Non Abelian expression, of an eminently associated Fourier-Related-Progression, tends to bear the general tense, of a puncture-related Lagrangian-Based Drive, in lieu of its directly corroborative genus, of space-time-related permeability.

Mild local inversions of the Ricci Curvature, may often tend to facilitate the spontaneous capacity, of the eminently corroborative kinematically propagated Kahler Hamiltonian Topological Manifold, to thenceforth be demonstrative of the general behavior, of working to exhibit a non abelian gauge-action.

When two different and distinct Kahler Hamiltonian Topological Manifolds, work to bear a mutual electromotive attraction towards one another, the covariant Lagrangian-Based Drive, that is to be imparted, in the general process of their being drawn towards each other, will often tend to bear more of a puncture-like space time permeability, rather than as a pressure-like tense, of space time permeability, as these implicitly converging teams of mass-bearing phenomena, are to be co-tangentially impelled. 



Friday, May 15, 2026

More Nifty Physics Ideas

 Closed loop super strings, that are not eminently electromagnetic by nature, will tend to bear a viable tense of metric-gauge incursion. Furthermore; Open loop super strings, will often tend to bear a viable tense of heuristic-gauge incursion. 

When Fadeev-Popov-Trace eigenstates are eminently efficient, via their spatial translation, this will often tend to be eminently corroborative, with the physical venue, of metric-gauge. Whereas; When Fadeev-Popov-Trace eigenstates are eminently efficient, via their time wise translation, this will often tend to be eminently corroborative, with the physical venue, of heuristic-gauge.

Discrete energy quanta, that work to bear an abelian light-cone-gauge topology, tend to bear Fadeev-Popov-Trace eigenstates, that are eminently efficient, in lieu of the general venue, of there directly associated spatial translation. Furthermore; Discrete energy quanta, that work to bear a non abelian light-cone-gauge topology, tend to bear Fadeev-Popov-Trace eigenstates, that are eminently efficient, in lieu of the general venue, of their directly time-wise translation. Abelian light-cone-gauge phenomena, tend to move in the general direction of metric efficiency. Whereas; Non Abelian light-cone-gauge phenomena, tend to move in the general direction of durational efficiency. 

Abelian light-cone-gauge eigenstates, often tend to exhibit an enhancement of entropic physical characteristics, when the eminently corroborative Fadeev-Popov Trace eigenstates, are metrically perturbative. Whereas; Non Abelian light-cone-gauge eigenstates, often tend to exhibit an enhancement of entropic physical characteristics, when the eminently corroborative Fadeev-Popov Trace eigenstates, are time-wise perturbative.  

Discrete energy quanta, that tend to move in the direction of least distance, often tend to bear the corroborative presence of Fadeev-Popov Trace eigenstates, that are eminently efficient, metric-wise. Whereas; Discrete energy quanta, that tend to move in the direction of least time, often tend to bear the corroborative presence of Fadeev-Popov Trace eigenstates, that are eminently efficient, time-wise. 

The stronger that the internal gauge-action is to be, that is here to be incurred upon a discrete quantum of energy, as a tense of pseudo electromotive impedance excitation, the greater that the spontaneous restraining force is to consequently be, of which is here to tend to metaphorically harness a tense of viable control, over the direction and the other factors of motion, of which are here to be imparted, over the general implicit Lagrangian -Based motion of this. 

The quicker that the harmonic attribute of the i*PI(Del)Action is to spontaneously happen, of which is thence to be eminently physically imparted upon its externalized environment, the more charge generation, that will often tend to be proximal local in covariant occurrence, as taken over time. Whereas; The quicker that the anharmonic attribute of the i*PI(Del)Action is to spontaneously happen, of which is thence to be eminently physically imparted upon its externalized environment, the more of a generation of entropy, that will often tend to be proximal local in covariant occurrence, as taken over time. 

The more kinetic that the infrared energy of a region tends to be, the more entropic that such a region will consequently tend to be. 

Let’s say that the kinetic infrared energy of two different equally heated regions, is to be behaving in the same general manner. One of such regions is to have a lower molar mass than the other. The region of relatively lower molar mass, here, will tend to bear a greater entropy, than the other of such regions. 

Anharmonic Chern-Simons Invariant gauge-action re-calibration, tends to facilitate at working to make the regionally proximal local infrared energy more kinetic. 

The coupling of the i*PI(Del)Action with angular momentum, often tends to enhance an added kinetic effect, upon the regionally proximal local infrared energy. 

The more spurious that local discrete quanta of infrared energy are to behave as, the spontaneously greater that the consequential entropy will tend to be. Furthermore; The more hermitian that local discrete quanta of infrared energy are to behave as, the spontaneously lower that the consequential entropy will tend to be. 

An enhanced kinetic effect, upon the local discrete quanta of infrared energy, tends to be equivocal, to an enhanced scattering, of such stated infrared energy quanta. Therefore; The stronger that the kinetic attribute of infrared energy quanta is to be, the more spurious, and thereby the more scattered, that it will consequently tend to be. Adjacent infrared photons may be said to be scattered, relative to one another, when they are here to exhibit an uneven parity, when this is here to be considered, corroboratively taken. 

Just as physical momentum often tends to be corroborative with heat, and frequency often tends to be corroborative with sound, — entropy often tends to be eminently associated with heat, and charge often tends to be eminently associated with sound. Furthermore; Heat often is associated with a spurious tense, of adhesion/cohesion/repulsion. ;&; Sound often is associated with a hermitian tense, of adhesion/cohesion/repulsion. 

Harmonic sound, often tends to facilitate the generation, of a tense of cohesion. Dissonant sound, often tends to facilitate the generation, of a tense of repulsion. 

Cohesive heat, often tends to facilitate the generation, of a tense of adhesion. Dispersive heat, often tends to facilitate the generation, of a tense of repulsion. 

Charge often tends to facilitate the generation, of an ordered tense, of cohesion/repulsion. Entropy often tends to facilitate the generation, of an unordered tense, of cohesion/repulsion. 

The generation of Dissonant charge, often tends to be eminently associated, with the initially incurred induction facilitation, of the incursion of dissonant sound. 







Friday, January 6, 2023

Mass-Bearing Kahler Manifold -- Relatively Abelian Tense Of Angular Momentum

 A given arbitrary mass-bearing Kahler Manifold, will tend to express a relatively abelian tense of angular momentum. I WILL CONTINUE WITH THE SUSPENSE! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Tuesday, May 24, 2022

Resonant/Non-Resonant Tense Of Cohomology

 A resonant tense of cohomology, often tends to be eminently associated, with the general workings, of an abelian light-cone-gauge topology. Whereas; A non-resonant tense of cohomology, often tends to be eminently associated, with the general workings, of a non abelian light-cone-gauge topology. SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED! 

Friday, April 1, 2022

Abelian Wave-Tug Of First-Order Light-Cone-Gauge Eigenstate -- Homomorphic Discrete Quantum Of Energy

 The more abelian of a nature, that the wave-tug of a given arbitrary Noether-Based first-order light-cone-gauge eigenstate, is to work to exhibit, as this respective wave-tug, is to be incurred upon a directly associated superstring/counter string of discrete energy permittivity, the greater the probability, that this will consequently tend to result, in working to facilitate the general physical condition, to where the directly corresponding quantum of discrete energy, that is here to have been implied in such a respective given arbitrary case scenario, will thereby work to become more likely to exhibit, the display of a homomorphic field. I WILL CONTNUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAMUEL DAVID ROACH.

Tuesday, March 22, 2022

Relatively Strong Kahler-Based Quotient -- Relatively Strong Abelian Wave-Tug

 The greater the scalar amplitude of a Kahler-Based quotient, that a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta is to exhibit, the stronger of an abelian wave-tug, that such a said Noether-Based mass-bearing cohesive set of discrete energy quanta, will thereby often tend to display. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! (PHS1989). SAMUEL DAVID ROACH. 

Monday, March 21, 2022

Topology Of Discrete Energy — Abelian Tense — Yukawa-Based Leverage

 Discrete energy quanta, that are here to be of an abelian light-cone-gauge topology, often tend to work to bear a stronger scalar amplitude of a Yukawa-Based leverage, as incurred upon their immediate Ward-Cauchy-Related surroundings, than discrete energy quanta, that are instead, to work to bear a non abelian light-cone-gauge topology. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Sunday, March 20, 2022

Abelian/Non Abelian Vector Bundle -- Symplectic Tense Of Cohomology

 Cohomology that is directly corresponding with the general workings of an abelian vector bundle, is often to tend to be more associated, with the general topological framework, of a symplectic geometry, than cohomology, that is instead, to be directly corresponding with the general workings of a non abelian vector bundle. Also; Cohomology that is eminently of a symplectic geometry, of which is often to be appertaining to the workings of an abelian topological framework, often has the general tendency, of working to bear a tense of a homomorphic field -- to where such an inferred tense of an abelian topological superstring-related manifold, is thereby to often tend to work to bear an isotropically stable nature. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH. 

Tuesday, September 14, 2021

Abelian Interactions -- Fadeev-Popov-Trace Eigenstate With Its Correlative First-Order Light-Cone-Gauge Eigenstate

 The more abelian of an interaction, that is here to exist, between a given arbitrary Fadeev-Popov-Trace eigenstate, and, its directly correlative first-order light-cone-gauge eigenstate, -- the more likely, that such a said respective given arbitrary Fadeev-Popov-Trace eigenstate, will thereby consequently have a relatively Stronger eminent effect, upon such a said respective directly correlative first-order light-cone-gauge eigenstate. It follows, then; That -- the less abelian of an interaction, that is here to exist, between a given arbitrary Fadeev-Popov-Trace eigenstate, and, its directly correlative first-order light-cone-gauge eigenstate, -- the more likely, that such a said respective given arbitrary Fadeev-Popov-Trace eigenstate, will thereby consequently have a relatively Weaker eminent effect, upon such a said respective directly correlative first-order light-cone-gauge eigenstate. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM.

Sunday, August 22, 2021

Potential Isotropic Stability Of First-Order Light-Cone-Gauge Eigenstate

 The more of an abelian interaction that is to be incurred, between a given arbitrary Fadeev-Popov-Trace eigenstate, and, its directly corresponding first-order light-cone-gauge eigenstate, the higher of a probability  that will thereby tend to exist, to where such a mentioned first-order light-cone-gauge eigenstate, will then have more of a consequential tendency, of resulting in working to bear a tense of isotropic stability. SINCERELY, SAMUEL DAVID ROACH. (1989).

Friday, June 4, 2021

More As To An Abelian Gauged-Action

 Since an abelian gauged-action tends to be isotropically stable, and a non abelian gauged-action tends to be isotropically unstable, such a stated tense of an Abelian gauged-action, will consequently tend to bear a greater probability, of working to help at facilitating the general physical condition, of working to form a respective tense, of a group-related action. To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Thursday, June 3, 2021

Abelian/Non Abelian Gauged-Action

 A given arbitrary abelian gauged-action, that is here to involve an eminent Gliosis-Based contact, will tend to have the general bearings, of working to involve a tense of isotropic stability. (In part; due to the correlative lack of "slippage," that is involved here). Whereas; a given arbitrary non abelian gauge-action, that is here to involve an eminent Gliosis-Based contact, will tend to have the general bearings, of working to involve a lack of isotropic stability. (In part; due to the proximal local presence of "slippage," that is involved here). SAMUEL ROACH. (1989).

Wednesday, May 19, 2021

As To Scalar Magnitude -- Etale/p-Adic Cohomology

 An Etale cohomology tends to work to bear a heuristic sheaving. 

When the Etale cohomology abelian-related "Grouping" factor, has a scalar magnitude of 

 "-i*(e^2);"

Then, the scalar magnitude, of the directly corresponding heuristic sheaving, will consequently tend to  be "0." (This will consequently tend to indicate, that there will here, in this particular case, be NO heursitic sheaving being displayed here.)

Whereas:

A p-Adic cohomology tends to work to bear an inverse sheaving.

When the p-Adic cohomology abelian-related "Grouping" factor is "0;"

Then, the scalar magnitude of the directly corresponding inverse sheaving, will consequently tend to be  

"-i*(e^2)." (This will consequently tend to indicate, that there will here, in this particular case, be No abelian-related "Grouping" being exhibited here.)

Please let me know if this is up to par! I am just beginning to learn of this type of cohomology! SAM.

Friday, May 14, 2021

Abelian Wave-Tug -- Light-Cone-Gauge Eigenstate -- Inertia

 When a given arbitrary light-cone-gauge eigenstate, is here to work to apply an abelian wave-tug, upon the respective directly associated discrete energy quantum, that it is here to be physically operating upon, this general tense of a gauged-action, will consequently often tend to have the affinity, of working to form an inertial tense of impedance. Inertia is heuristically associated with the general characteristic of mass. Noether-Based mass-bearing discrete energy quanta, tend to always work to bear an abelian light-cone-gauge topology. This is part of the reason, as to why mass tends to have such an affinity, for working to display the general characteristic of "inertia." I will continue with the suspense later! SAM ROACH. (1989).

Friday, March 12, 2021

Added Gravitational Force And Abelian/Non Abelian Nature

 Let's consider, in this particular case, the physical conditions -- that are here to be directly associated, with the workings of a Mass-Bearing discrete quantum of energy:

When additional gravitational force is to be applied upon it (the said discrete quantum of energy), this general process, will often tend to have the potential capacity, of working to increase the abelian nature, of the directly corresponding respective light-cone-gauge eigenstate; whereas -- when additional anti gravitational force is to be applied upon it (the said discrete quantum of energy), this general process, will often tend to have the potential capacity, of working to increase the non abelian nature, of the directly corresponding respective light-cone-gauge eigenstate.  SAMUEL DAVID ROACH.

Wednesday, February 24, 2021

Non Abelian Light-Cone-Gauge Eigenstates — Elastic Modulae

 Non Abelian light-cone-gauge eigenstates tend to have a higher elastic modulus, than abelian light-cone- gauge eigenstates do. Therefore; since non abelian light-cone-gauge eigenstates, are known of as acting as the nature of being “Yang-Mills,” and, abelian light-cone-gauge eigenstates, are known of as acting as the nature of being “Kaluza-Klein”; Yang-Mills light-cone-gauge eigenstates tend to have a higher elastic modulus, than Kaluza-Klein light-cone-gauge eigenstates do. Sincerely, SAMUEL DAVID ROACH. (1989).

Thursday, May 21, 2020

Second-Order Light-Cone-Gauge Eigenstates And Slippage

Just as those cohomology-related eigenstates, that are directly corresponding to the proximal local presence of a symplectic geometry -- are to tend to work to bear less slippage, at a level that is Poincare to the topological surface of such a respective superstring of discrete energy permittivity, that is here to work to bear such an inferred tense of a symplectic geometry -- than what often tends to be the case for those cohomology-related eigenstates, that are, instead, to be directly corresponding to the general tendency as to what is here to occur, with the correlative grouping of those cohomology-related eigenstates, that are here to be appertaining to the proximal local presence of a Khovanov geometry; it then tends to follow, that any second-order light-cone-gauge eigenstate that is here to be directly corresponding to a given arbitrary discrete quantum of energy, that is of an abelian light-cone-gauge topology, will tend to bear less of a tense of a scalar amplitude of slippage upon a Gliosis-based contact, -- than those bearings of a relative tense of a general scalar amplitude of slippage, that would otherwise occur, for any second-order light-cone-gauge eigenstate, that is here to instead to be directly corresponding to a given arbitrary discrete quantum of energy, that is of a non abelian light-cone-gauge topology.  This is why any given arbitrary second-order light-cone-gauge eigenstate, that is of a non abelian topology, will eminently have a set intrinsic tense of sinusoidal standing waves -- of which are internally like a tense of a minute fractal of a soliton-related nature, at a level that is Poincare to the Gliosis-based topological surface of such a herein stated second-order light-cone-gauge eigenstate,  since such sinusoidal waves are here to be Like a non-rippling "standing wave" at an internal reference-frame, while these are here to be in the process of being shifted around very quickly at an immediately external reference-frame. This acts, in so as to help to work to compensate for the so-inferred tense of slippage.; Whereas, -- any given arbitrary second-order light-cone-gauge eigenstate, that is of an abelian topology, will eminently have a set intrinsic tense of a More "supplemental" nature at a level that is Poincare to the Gliosis-based topological surface of such a herein stated second-order light-cone-gauge eigenstate, since the condition of a lesser tense of a scalar amplitude of slippage, tends to work to allow for the relinquishment of the eminent need for such sinusoidal "divots," that would Otherwise be necessary for the correlative gauge-bosons of such a given arbitrary quantum of energy, to be able to go into the act of plucking such stated light-cone-eigenstates, in so as to work to produce those Schwinger-Indices that are "proliferated," in so as to work to help to form the countless eigenstates of the various basic forces of nature. Sam Roach.

Wednesday, June 19, 2019

More As To Cohomological Eigenstates, Eigenindices

Cohomological eigenstates may either be abelian or non abelian groupings, that latch at a locus that is proximal local to the topology of discrete energy; whereas -- cohomological eigenindices are discrete motions of such abelian or non abelian groupings, that work to indicate the presence of the thence proximal local said cohomological eigenstates.  Sincerely, Samuel David Roach.

Monday, October 15, 2018

The Fujikawa Coupling And Abelian Nature

Any given arbitrary superstring of discrete energy permittivity, that is to be in the process of undergoing the Fujikawa Coupling via the Green Function -- to where one given arbitrary open string is here to bend in a hermitian nature, in so as to convert into a closed string -- will, over the course of such a so-eluded-to process, go from having non abelian geometrical groupings interacting  alongside the region that is adjacent to the topological surface of the said string, -- to then going into having abelian geometrical groupings interacting alongside the region that is adjacent to the topological surface of the said string.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, October 8, 2018

As To The Flow Of The Second-Order Eigenstates Here

During the Polyakov Action, the correlative second-order light-cone-gauge eigenstates are to undergo a general genus of a Clifford Expansion, that works here to bear mini-stringular segmentation that is to consequently be put into the process of being "fed-into" the core-field-density of the directly corresponding first-order light-cone-gauge eigenstate -- in so as to work to help at allowing for those homotopic interconnections, that are here to exist between the directly corresponding Fadeev-Popov-Trace eigenstate and its correlative superstring of discrete energy permittivity, over a correlative fractal of time.  For discrete energy quanta that are of a Kaluza-Klein light-cone-gauge topology -- this will tend to generally mean, that, besides that bending of the directly corresponding second-order light-cone-gauge eigenstates, that is due to the earlier mentioned general genus of such a Clifford Expansion, as well as taking into consideration the condition, that besides the "plucking" of second-order light-cone-gauge eigenstates by their correlative gauge-bosons, -- the second-order light-cone-gauge eigenstates that are directly related to such an abelian topology, will tend to bear a relatively intrinsic supplemental wave-tug, during such an iteration of BRST.  Furthermore -- for discrete energy quanta that are of a Yang-Mills light-cone-gauge topology -- this will tend to generally mean, that, besides that bending of the directly corresponding second-order light-cone-gauge eigenstates, that is due to the earlier mentioned general genus of such a Clifford Expansion, as well as taking into consideration the condition, that besides the "plucking" of second-order light-cone-gauge eigenstates by their correlative gauge-bosons, -- the second-order light-cone-gauge eigenstates that are directly related to such a non abelian topology, will tend to bear a relatively intrinsic sinusoidal wave-tug, during the course of any case of such an example of an iteration of BRST.
I will continue with  the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.