Non-Escalating Lagrangian -- Steady-State Gravitational Force -- Gauge-Invariance

 The non-escalating Lagrangian-Based motion of a given arbitrary Noether-Based Hamiltonian Operator, that is to be proximal local to the functional operation of a steady-state tense of a heuristic gravitational force, is a general genus of physical characteristics, that may often work to facilitate the general physical condition of gauge-invariance. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Highly Conductive Magnetic Attraction -- Hermitian Tense Of Angular Momentum

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear a highly conductive covariant magnetic attraction, as imparted towards the topological manifold of another given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, it will consequently follow, that the angular momentum of the initially mentioned Noether-Based mass-bearing cohesive set of discrete energy quanta, will thereupon, at times, have the general tendency, of working to bear the consequentially resultant physical condition, in which it will thereby often tend to have the physically exhibited characteristic, of a hermitian tense of angular momentum. Furthermore; This whole general process, of which I have just eluded to, often tends to work to be directly involved, with the general physical condition, in which such an inferred "team" of mass-bearing energy, will thereby often have the general tendency, of working to exhibit the display, of a resultantly attributable homomorphic field. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

Inverted Torsional Metric-Pulse

 When one is to have a given arbitrary case scenario, of which is here to work to involve a first-order inverted torsional metric-pulse, acting as a given arbitrary example of a particular genus of a Chern-Simons Invariant gauge-action, this may often work to involve a directly corroborative loosening, of a state or condition of a proximal local wave-tug, as acting to work to exhibit the Fourier-Related display, of the workings of a directly associated p-Adic cohomology. TO BE CONTINUED! SAMUEL ROACH. (1989).

Lack Of Gauge-Invariance -- Continual Altered Direction -- Hermitian Ricci Flow

 When any given arbitrary mass-bearing cohesive set of discrete energy quanta, is here to continually lack gauge-invariance, in this particular respective case, -- when Only due to the directly corresponding condition, of it to be  continually altering in its direction of wave-tug (Although here, in this particular case, the speed of such motion, in relation to light, is to be of the same rate) -- then; the directly associated Lagrangian-Based flow, that is here to be eminent in its correlation, to the motion of the said mass-bearing cohesive set of discrete energy quanta, will thereby consequently tend to result, in working to bear a hermitian Ricci Flow. (SAM).

Conservation Of Homotopic Residue -- Casimir Invariance

 The multiplicity of the Noether-based general physical condition, as to the conservation of homotopic residue, -- is necessary, in order for the multiplicity of the general tendency of Casimir Invariance, to be able to take hold. I will continue with the suspense later! To Be Continued! Sincerely, SAM ROACH.

Isotropic Stability, And The Ricci Flow

 The smoother that the correlative Ricci Flow is to be, for a given arbitrary cohesive set of discrete energy quanta, the more likely that this respective physical condition of a smoother Ricci Flow, -- will consequently tend to work to help, in allowing for a stronger scalar amplitude of isotropic stability. SAM.

Escalating Lagrangian Of Euclidean/Clifford Expansion, Doesn’t Tend To Exhibit A Flat Ricci Curvature

 Any Noether-based mass-bearing cohesive set of discrete energy quanta, that is here to work to be displaying an escalating Lagrangian of a Euclidean/Clifford Expansion, during this process of such an inferred tense of an escalation,  will tend to not be capable of  working to exhibit the general physical condition, of bearing a flat Ricci Curvature. Sincerely, SAMUEL ROACH. (1989).

Nijenhuis Eigenstates, Separated By "Space-Time-Divergence"

 When one is to have two different cohesive sets of discrete energy quanta, that behave as acting like the same type of an encodement of an eigenstate, -- except for the physical condition of being separated, by what I have recently termed of as being a tense, of what may be called the general state of "space-time-divergence," -- then, one may consequently tend to be able to describe one of such said "eigenstates," as being a Nijenhuis "mirroring" of the other of such mentioned "eigenstates" -- and vice-versa.  One may consequently, as well, tend to be able to describe one of such said "eigenstates," as being a "complex mirroring" of the other of such mentioned "eigenstates" -- and vice-versa. Sincerely, Samuel David Roach.

One Manner Of "Looking At" The Majorana-Weyl-Invariant-Mode

What I have implied of as being the Ward-Cauchy-related holonomic substrate of "pressurized vacuum" in the substringular, is that metaphorical "ether" which both superstrings and mini-stringular segmentation are here to be encompassed within.  If one were theoretically to take some given constant as multiplied by tthat main influence which is formed by the force of pressurized vacuum (metric-gauge), while then coupling this with some constant that is here to be multiplied by the main influence that is formed by the point commutative force (i*PI(del) Action), this would then work to form the equivalence of the Majorana-Weyl-Invariant-Mode times some other given constant.  This works to imply, that the multiplicit functional coupling of the gauging of Ward-Cauchy-related field, -- With the processes of the alteration(s) in the general condition of their partition-related discrepancies, of which are here to be inherent from within the structural confines of mass-bearing orbifold eigensets, is key at working to help at forming the general superstringular process of the multiplicit Majorana-Weyl-Invariant-Mode.  Samuel David Roach.

Yau-Exact Condition And Piecewise Continuous Nature

The greater that the scalar amplitude is to be, of that Majorana-Weyl-Invariant-Mode -- which is here to be of a given arbitrary orbifold eigenset, -- that is hence to be of a respective given arbitrary case scenario, -- this will consequently tend to follow; that, the more stringent of a nature that its directly corresponding Yau-Exact condition, will consequently tend to be exhibited as.  The more stringent of a nature, that the directly corresponding Yau-Exact condition of an orbifold eigenset will thereby tend to be exhibited as, by such an inferred set of discrete quanta of energy that operate to perform a specific task, -- the more rapidly that such a so-stated orbifold eigenset, will consequently tend to be in the process of working to display the exhibition, that is of its directly corresponding piecewise continuous flow, which is here to be correlative to the general activity, whereby such an orbifold eigenset, is here to be working to generate as much cohomology as it is to be degenerating, over a directly corresponding evenly-gauged Hamiltonian eigenmetric. Sam.

As To The Possible Manners In Which Mini-Stringular Segmentation May Bend

In so long as there is the condition, to where any one given arbitrary set of one or more composite particles, that are definitively smaller than point commutators, that are here in this general case, to bead together, in so as to work to form the holonomic substrate of mini-stringular segmentation -- to where the just implied particles, are what I term of in this particular blog, as "second-order point particles" -- are here to not be in the process, of working to infringe upon the proximal local presence of any other given arbitrary set of one or more of such second-order point particles, -- to where this said tendency is to hold to be true, as long as the directly pertinent correlative respective physical stratum is, in such a respective case, to not be frayed in a black-hole, -- then, the corrlelative mini-stringular segmentation, that is here to be basically composed of by the said bead-like point particles mentioned here, will basically tend to be able to bend in any way that it will need to do -- in so long as it is in the process of tending to move in the direction, that it is most compelled to move in (in either the path of least resistence, or, in the path of least time).  This happens in such a manner, -- to where, in so long as any one given arbitrary unitary chord of such mini-stringular segmentation, is to not be fraying in a black-hole, then, any motion that is conducted upon such said mini-stringular segmentation, in a Gliosis-related manner, that would otherwise bear a potential tendency of such an earlier stated tense of infringement -- would then tend to work to form some manner of a repelling-related action, that will resultingly proceed in the condition-based direction of an optimum oscillation-like pattern, via an ensuing reactive perturbative vibration, that would here be in the process of working to bring a balance in the modulae of the said unitary chord of second-order point particles. I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To Mass-Bearing Superstrings

Mass-Bearing superstrings of discrete energy permittivity, are to exist in orbifold eigensets -- of which are here to exist in a Ward-Cauchy-related condition, -- that may here be termed of as being of a Majorana-Weyl-Invariant-Mode.  A Majorana-Weyl-Invariant-Mode -- is to be superconformally invariant, at an internal reference-frame.  To Be Continued!  Sincerely, Samuel David Roach.

Orthogonal Orbits

The physical condition of the orthogonal adjacent elliptical orbits of electrons -- as such said electrons are to be in the process of cycling around any one given arbitrary atom -- is influenced, by the condition of the previously implied relativistic E(8)XE(8) stringular oscillation-based tendencies.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Discrete Dimensional Change

If one is here to consider a metric-related Chern-Simons singularity -- in which there is here to be a discrete alteration in the number of spatial dimensions that one given arbitrary superstring of discrete energy permittivity is to be exhibiting, in the process of to here to be working in so as to have a perturbation in the so-eluded-to discrete energy's dimensional-related pulsation over time, then, there is here to be the physical condition of the correlative superstring to be working to bear a different number of spatial dimensions, over the course of the interplay of consecutive iterations of BRST.   For example, let us not consider here what the Beti numbers happen to be here -- both right before and after any particular iteration of BRST.  Instead -- let us simply consider in this respective case, the number of spatial dimensions that a given arbitrary superstring is to exhibit -- over the course of two consecutive iterations of BRST, in and of itself.  Let us say that, in the first given arbitrary said iteration of BRST, -- the said superstring of discrete energy permittivity is to exhibit the metric-based condition, of working to bear four spatial dimensions plus time.  Let us next say, that, in the second given arbitrary said iteration of BRST, that is here to be considered, -- the said respective superstring of discrete energy permittivity is to, instead, to exhibit the metric-based condition of working to bear three spatial dimensions plus time.  Let us next consider the respective hypothesis here, that "everything else" is to then to "remain the same."  Consequently, such a said superstring is to then to be altering in its dimensional-related pulsation, and thus, such a said superstring is to then to work to bear a correlative metric-based Chern-Simons singularity at the so-eluded-to duration-based juncture.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Net Beti Number

Let's initially consider, the algebraic sum of those Beti numbers of one given arbitrary case, that is to here involve one respective instanton -- that is here to be directly associated with, what is here to be both the action of dimensional compactification that is to happen just before BRST, &, the action of dimensional decompactification that is to happen during the correlative ensuing iteration Of that Regge Action eigenmetric, that is to immediately ensue the so-eluded-to given arbitrary iteration of BRST of such a given arbitrary case.  If such a net algebraic sum of Beti numbers is to be positive, then, the said superstring is then said to have compactified -- as a Hamiltonian operator of dimensional-related pulsation.  Yet, instead -- if such a net algebraic sum of Beti numbers, is to be negative, then, the said superstring is then said to have decompactified as a Hamiltonian operator of dimensional-related pulsation.  Either way -- such a so-eluded-to superstring of discrete energy permittivity -- that is here to have altered in its dimensional-related pulsation, will have then to have attributed to it, the tendency as to have the condition -- of then working to bear a metric-related Chern-Simons singularity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little More As To Lagrangian Versus Metrical

Let's initially consider the fundamental condition, that a superstring is a discrete quantum of energy permittivity.  Its motion through a path is its Lagrangian.  The relationship of the direction of the wave-tug/wave-pull of the dimensional-related directorals, that are of the said superstring, when this is taken in a correspondence with its heading, over a relatively considered holomorphic direction over a set duration -- is the metric of a superstring.  In a very real way -- both a Lagrangian-based tense of a Chern-Simons singularity and a metrical-based tense of a Chern-Simons singularity, are related to the pulse of a Ward-Cauchy-based phenomenology.  The main difference is -- that a Lagrangian-related Chern-Simons singularity tends to happen when a quantum of discrete energy is to alter relatively abruptly in the conveyance of the motion of its energy over time, -- whereas, a metrical-related Chern-Simons singularity tends to happen, when a quantum of discrete energy is to alter in its dimensional-related direction -- as a velocity-based tensor relative to light, over a sequential series of correlative group-related instantons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.