Showing posts with label singularities. Show all posts
Showing posts with label singularities. Show all posts

Tuesday, November 22, 2022

Net Cohomological Flow Of A Noether-Based Mass-Bearing Cohesive Set Of Discrete Energy Quanta

 When the net cohomological flow of a Noether-Based mass-bearing cohesive set of discrete energy quanta is hermitian, it will consequently tend to spontaneously work to bear no net Lagrangian-Based Chern-Simons singularities. I WILL CONTINUE WITH THE SUSPENSE LATER! SAM ROACH. 

Monday, November 21, 2022

Chern-Simons Singularities -- Homotopic Discontinuity

 The proximal local presence of Chern-Simons singularities, as taken along the Lagrangian-Based path of a kinematically transferred  Hamiltonian Operator, often tends to work to form, a tense of homotopic discontinuity. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989). 

Wednesday, November 9, 2022

Lack Of Radial Hermicity -- Metric-Based Chern-Simons Singularities

 Right when a given arbitrary Hamiltonian Operator works to lose its radial hermicity, it will tend to spontaneously work to express the exhibition, of a set of one or more metric-based Chern-Simons singularities. 'TILL NEXT TIME, AT THIS BLOG CITE! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Lack Of Transversal Hermicity -- Lagrangian-Based Chern-Simons Singularities

 Right when a given arbitrary Hamiltonian Operator works to lose its transversal hermicity, it will tend to spontaneously work to express, the exhibition of a set of one or more Lagrangian-Based Chern-Simons singularities. 'TILL LATER, AT THIS BLOG CITE! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Monday, September 26, 2022

Spurious Dimensional Gauging -- Metric-Related Chern-Simons Singularities

 When the dimensional gauging of a Hamiltonian Operator becomes spurious, it will spontaneously tend to consequentially work to bear a correlative set of metric-related Chern-Simons singularities. SAM.

Tuesday, August 16, 2022

Scattered Superstrings -- Chern-Simons Singularties

 Scattered superstrings of discrete energy permittivity, tend to work to bear Chern-Simons singularities -- at the locus at which these are scattered. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.(1989).

Monday, May 9, 2022

Spurious Physical Conditions -- Due To Fourier-Related-Progression, Involving The Incursion Of A Set Of Lagrangian-Based Singularities

 Those given arbitrary spurious physical conditions, that are to be implemented upon a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, to where such said physical conditions are here to be basically due to the Fourier-Related-Progression, of which is here to be involving the implementation Of a given arbitrary set of anti-holomorphic Kahler conditions, in which such a Ward-Cauchy-Related Operation, is here to work to induce the respective incursion of a given arbitrary set of Lagrangian--Based singularities, will often work to occur in such a general manner, to where this will often tend to have the respective general probability, of acting in such a way, to where this whole inferred situation will have a likelihood, of working to alter the dimensional-related pulsation of the said mass-bearing set of energy quanta, -- to where this will often have the general probable tendency, of working to also involve the simultaneous (via the vantage-point of a central coni-axion) proximal local incursion, of a respective set of metric-based Chern-Simons singularities. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989).

Tuesday, April 26, 2022

Isotropically Unstable Net Gauged-Action -- Spurious Exhibition Of Chern-Simons Singularities

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear an isotropically unstable net gauged-action, it will consequently have the general tendency, of working to spontaneously map-out, the exhibition of a set of one or more correlative spurious Chern-Simons singularities. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL

Friday, April 15, 2022

Heuristic Gravitational Force -- Chern-Simons Singularities

 A relatively strong incursion of a heuristic tense of gravitational force, as imparted upon a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, may often tend to work to facilitate the spontaneous formation, of a set of one or more Chern-Simons singularities. 'TILL NEXT TIME, SAM.

Friday, December 10, 2021

Net Gauged-Action -- Tense Of Isotropic Stability

 If the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be isotropically stable spin-orbital-wise (which will consequently tend to mean, that it will work to be of a homomorphic nature, spin-orbital-wise), yet, not transversal-wise, then it will generally tend to be more likely, to work to bear a set of one or more Lagrangian-Based Chern-Simons singularities, than a set of metric-based Chern-Simons singularities. However; If the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be isotropically stable transversal-wise (which will consequently tend to mean, that is will work to be of a homomorphic nature, transversal-wise), yet, not spin-orbital-wise, then, it will generally tend to be more likely, to work to bear a set of one or more metric-based Chern-Simons singularities, than a set of Lagrangian-Based singularities. TO BE CONTINUED! SINCERELY, SAM ROACH.

Monday, March 30, 2020

Change Of Electrodynamic Flow And Chern-Simons Singularities

When an electrical current ( a tense of charge per time) is to bear a tense of perturbation, over a given arbitrary course of time -- this tends to be indicative of the directly corresponding presence of Lagrangian-based Chern-Simons singularities, -- as appertaining to the here correlative manner of the kinematic activity of the said electrical current.  Consequently; when amperage is to work to bear a tense of perturbation over time, this tends to be indicative of the presence of the directly corresponding presence of Lagrangian-based Chern-Simons singularities.  Furthermore; when the flow of the magnetic field is to bear a tense of perturbation, over a given arbitrary course of time, this tends to be indicative of the directly corresponding presence of metric-based Chern-Simons singularities.  Consequently; when a tense of voltage (a tense of energy per charge) is to bear a tense of perturbation, over a given arbitrary course of time -- this tends to be indicative of the directly corresponding presence of metric-based Chern-Simons singularities, -- as appertaining to the here correlative manner of the kinematic activity of the here inferred tense of energy per charge. I will continue the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Sunday, February 9, 2020

Perturbation In Type Of Expansion, During An Acceleration

Let us initially consider an orbifold eigneset -- that is here to be traveling at a constant rate of motion, as it is here to be in the process of undergoing a general genus of a Clifford Expansion, -- to where in this particular case, such a stated eigenset is here to be diverging from a given arbitrary general locus, via a correlative hyperbolic tangential flow.  It (the orbifold eigenset) is then to spontaneously alter in its rate of motion, as this stated eigenset, at the same time (through the vantage-point of a central conipoint), is to be in the process of altering in its general type of an expansion, -- to where, the said orbifold eigenset is to now to be in the process of undergoing a euclidean expansion instead of a Clifford Expansion ( to where the general type of a divergence implied here, is then to alter -- from working to bear a hyperbolic tangential flow, Into then altering into working to bear a euclidean tangential flow).  As such a said orbifold eigneset is to be spontaneously altering into an accelerative mode -- as it is here to be be changing in its general genus or type of divergence, at the inferred respective given arbitrary proximal locus implied here, by going from working to bear a Clifford Expansion, to then working to bear a euclidean expansion, -- this will then tend to almost indefinitely, in so long as this said eigenset is here to be undergoing a general tense of a Noether-related flow, -- to tend to work to cause, at the proximal locus at which the said orbifold eigenset is to spontaneously change in both its accelerative rate And in its general genus of expansion (to where, this is a case, in which such a general tense of a divergence is here to be perturbated, at the inferred given arbitrary proximal locus in time and space, at which the inferred dual spontaneous set of changes that I have described of earlier here, are thence to occur), then consequently; this is a general type of a situation, in which there will tend to be both the formation of one or more metric-related Chern-Simons singularities, at the proximal locus at which such a dual set of general changes are here to occur, as well as the condition that there will also consequently tend to be the formation of one or more Lagrangian-related Chern-Simons singularities, at the proximal locus at which such a dual set of general changes are here to occur.  Samuel David Roach.

Tuesday, October 15, 2019

Antiholomorphic Kahler Conditions And Degeneration

Whenever there is to be the proximal local presence of the eminence of a set of one or more antiholomorphic Kahler conditions, in the directly corresponding Ward-Cauchy bounds of a substringular-related phenomenology, that is here to be undergoing a so-eluded-to tense of a set of one or more Chern-Simons singularities, -- there will as well, tend to be a respective proximal local relative increase in the degeneration of the cohomology, that is here to be happening in the inferred general region in which there is to be the said presence of the eminence of a set of one or more antiholomorphic Kahler conditions.  Consequently -- if the earlier stated general Ward-Cauchy-related region is to tend to be of a Yau-Exact nature, there will then be a need for a proportional relative increase in the respective generation of cohomology, -- so that the phenomenology that is of such a said general region, will still be of a general tendency, in so as to here to be in the process of generating as much cohomology as it is degenerating, in at least some sort of a piecewise continuous manner, -- on account of the physical condition, that a Yau-Exact phenomenology is to always tend to generate as much cohomology as it is to degenerate, over an evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, June 5, 2018

Orbifold Density And Singularities

The greater that the Lorentz-Four-Contraction that is to happen to any one given arbitrary orbifold eigenset over time -- the more dense that the said orbifold eigenset is then to tend to become, over the process.  This just mentioned increase in a respective orbifold-related density, is then to work to increase the relativistic pulse of the said eigenset, as it is acting in a Fourier-related manner as a propagating holonomic substrate -- to where it is then to tend to work to bear a set of one or more metrical-based Chern-Simons singularities, just as such a so-stated orbifold eigenset is to act in so as to increase in its pulse -- relative to both the motion and the presence of electromagnetic energy, over a relatively covariant inter-relationship of an evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Thursday, May 31, 2018

Dimensional Change And Singularities

Let us initially consider that general Ward-Cauchy-related set of conditions, that are appertaining to spatial dimensionality, that is to be considered for one given arbitrary superstring of discrete energy permittivity -- that is Not in consideration of what is to otherwise be in a directly correlative relationship with the Ward-Cauchy-based conditions of Beti numbers, (to where this is not here to be directly considering what happens, right before and right after each of such iterations of BRST) -- but, instead, to where this is to be taken in a directly correlative relationship with the Ward-Cauchy-based conditions that are here to be during each sequential iteration of BRST -- over an evenly-gauged Hamiltonian eigenmetric.  Let us then say, that for the just mentioned superstring of discrete energy permittiivty, over the course of each iteration of BRST that is here to be correlative to the said evenly-gauged Hamiltonian eigenmetric -- that the here mentioned superstring is to oscillate back-and-forth, from being a two-dimensional spatial entity into being a three-dimensional spatial entity.  Let us next say that the general holomorphic direction of the said string, is here to be maintained -- over the set framework of time.  Since the just so-eluded-to back-and-forth alteration in spatial dimensionality, is here to alter the directoral-related flow of the said string's directly corresponding angular momentum eigenindices -- such a back-and-forth alteration in the directly corresponding dimensions of the spatial parameters of the said string, will then tend to alter the dimensional-related direction of the holonomic substrate of the correlative string in and of itself, at the Poincare level to the topological surface of the directly corresponding superstring of discrete energy permittivity, during each succeeding iteration of BRST for such a said string.  Such an alteration of dimensional-related direction for the holonomic substrate of a discrete quantum of energy, will then tend to work to form the presence of metrical-related Chern-Simons singularities over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Polyakov Action And Chern-Simons Singularities

If an orbifold eigenset is to change in its correlative Lorentz-Four-Contraction, then, it is to change in its Polyakov Action eigenstate in what is here to be of an inverse-based manner.  If an orbifold eigenset is then to alter in its Polyakov Action eigenstate, to any viable scalar amplitude -- such a said orbifold eigenset will then tend to work to bear a set of one or more metrical-based Chern-Simons singularities.  Such a genus in the perturbation of the metrics of an orbifold eigenset, will also as well work to tend to help at causing the directly corresponding superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset, to work to bear metrical-based Chern-Simons singularities -- since all of the superstrings of discrete energy permittivity that work to comprise any one said orbifold eigenset, will tend to work to bear both the same Lorentz-Four-Contraction and the same scalar amplitude of the Polyakov Action -- as the said eigenset that these work to come together in so as to make-up.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, March 19, 2018

Majorana-Weyl-Invariant-Mode And Complex Roots

Let us consider an initial situation -- in which one is here to be considering a set of mass-bearing superstrings, that are here to be existent under a condition of a tightly-knit Ward-Cauchy-based state of Majorana-Weyl-Invariance.  Let us next consider the condition, that there is here to be a constant state of a reiterative set of antiholomorphic Kahler conditions -- in which there is to be a relatively continuous state of the formation of Lagrangian-related Chern-Simons singularities.  The relatively tighter that the scalar amplitude is -- as to the condition of the correlative Majorana-Weyl-Invariant-Mode -- the more that there is to be the tendency, of those complex-roots that are thence to be indicatively formed by the earlier mentioned Lagrangian-related Chern-Simons singularities, to add-up to a resultant of basically zero, -- at the reference-frame of the proximal locus of the Ward-Cauchy-based region, of which is at the Poincare level to the external shell of so-eluded-to mass-bearing orbifold eigensets, of which are here to be undergoing that correlative Fourier Tranformation, in which the so-eluded-to set of discrete energy quanta have here to be going through the general activity of a Ward-Cauchy-based condition of a substringular-related "homoestasis" over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Sunday, February 11, 2018

Ward-Supplemental Collision

If two given arbitrary orbifold eigensets are to be approaching one another, in such a manner in so as to be moving towards each other in a Ward-Supplemental manner -- in a manner, by which both of the just mentioned respective eigensets are here to bear a Yukawa Coupling, the one towards the other -- to where their Lagrangian-based Chern-Simons singularities are here to bear complex roots that are to bear the same isometric parity, although with identically the opposite chirality upon their here resulting eminent Yukawa-based collision, -- then,  the resulting Gliosis-based interaction that is to happen here, will tend to be of a relatively flush nature, that may often, but not always, be of a head-on nature upon impact.  Such a Gliosis-based contact, will tend to inevitably work to cause both of the said orbifold eigensets to then result in having a set of metrical-based Chern-Simons singularities.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Saturday, January 27, 2018

What Often Works To Form Antiholomorphic Kahler Conditions

Often, what works to form an antiholomorphic Kahler condition, is the following general case scenario:  Let's say that an orbifold eigenset is to initially be traveling via a Rham cohomology -- in so that it is to bear both hermitian Lagrangian-based singularities, as well as working to bear hermitian metrical-based singularities, -- as such an orbifold eigenset is to be traveling through a given arbitrary Hamiltonian operand, that is traversed via a discrete Lagrangian-based path.  At a given point in time, the said eigenset is to be enacted upon by a ghost-inhibitor -- that is then to work at helping to cause the just mentioned set of discrete energy quanta that operate in so as to perform one specific function, to bear a  change in the course of its Fourier-based translation, that is here to involve a Ward-Supplemental perturbation in the course of the trajectory of the projection of its ensuing given arbitrary Lagrangian-related path, over a sequential series of group-related instantons.  (As an ansantz, in only two spatial dimensions -- the orbifold eigenset of this case would just go back in the direction in which it had just originally come.  Yet, in this, as well as in just about any other substringular case, the directly corresponding orbifold eigenset, as well as its given arbitrary path -- will involve more spatial dimenisons than this.)  The more spatial dimensions that the said orbifold eigenset is to directly bear, as well as the more spatial dimensions that the path of the said orbifold eigenset is to bear -- the more complex roots that such a Ward-Supplemental perturbation may possibly work to involve.  Such a Ward-Supplemental perturbation, that may be caused by such a said ghost-inhibitor -- may often work to cause the eminent presence of a set of antiholomorphic Kahler conditions.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Thursday, January 25, 2018

Some Stuff On Tense Of Singularity

Let us here consider a case -- in which one is to have an orbifold eigenset, that is to be traversing along a topological surface, that is of a harmonic-based sinusoidal-related nature -- over a sequential series of group-related instantons.  Let us next say that this just mentioned path that is for the so-stated orbifold eigenset, is to be of a relatively smoothly-curved or hermitian nature -- to where the curvature that is here to be being traversed, is to only to change in just as many derivatives as the number of spatial dimensions that the said orbifold eigenset is to be traveling through, over time.  One may then say that the set of singularities that are thence formed -- are then to be described of as being Lagrnagian-based hermitian singularities.  Let us next consider a case in which one is to have an orbifold eigenset, that is to be traveling along a topological surface as well, that is of a "harmonic-based" sinusoidal-related nature, over a sequential series of group-related instantons.  Let us next say that this just mentioned path, that is for the so-stated orbifold eigenset -- is to be of a relatively jagged nature -- to where the said curvature that is here to be being traversed, is to change in more derivatives than the number of spatial dimensions that the said orbifold eigenset is to be traveling through, over time.  One may then say that the set of singularities that are thence formed -- are then to be described of as being Lagrangian-based Chern-Simons singularities.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.