Singular Sporadic Change In Net Gauged-Action

 When the net gauged-action of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear a singular sporadic change in its correlative direction of wave-tug, such a said mass-bearing cohesive set of discrete energy quanta, will often have the tendency, of working to bear a Lagrangian-Based Chern-Simons singularity, at the locus in which it is to be proximal local to, at the moment of such a stated singular sporadic change. TO BE CONTINUED! SINCERELY, SAM ROACH.

Recursively Generative Harmonic Output Of Metric-Gauge-Related Eigenstates

 Let us consider a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be working to exhibit, at least some sort of a tense, of a viable given arbitrary spin-orbital tense, of an oscillation-related vibrational display, over a proscribed given arbitrary relativistic duration of time. Since the said cohesive set of discrete energy quanta, is working to be exhibiting a viable tense of a spin-orbital display, of a Fourier-Related Lagrangian, it is thence to more than likely be consistently altering in its velocity, in relation to the motion of electromagnetic energy, since when a phenomenology is to be consistently "spinning," it will tend to be consistently changing in its direction, and, when such a general inferred phenomenology is here to be consistently changing in its direction, it is thence to be altering in its velocity, -- since something is said to be altering in its velocity, when either its speed and/or its direction is changing. When a given arbitrary Ward-Cauchy-Related phenomenology, is to be maintaining the same velocity in relation to the motion of electromagnetic energy, it's directly associated correlative Chern Simons Invariants are to be just that -- they are said to be invariant, and thus not change. Yet; if the velocity of such an inferred phenomenology, (let us say here, in this particular case, that such a said phenomenology, is here to be a mass-bearing cohesive set of discrete energy quanta), is here to be altering, (to where, it is either to be changing in its speed, and/or, it is to be changing in its direction, when this is here to be considered, in its relationship to the motion of electromagnetic energy), then, its directly corresponding Chern Simons "Invariants," are then to be said to not be invariant -- to where such an inferred directly correlative physical attribute, of the motion of such an inferred set of discrete energy quanta, is then to be changing. So; If a given arbitrary mass-bearing cohesive set of discrete energy quanta, is to be consistently altering in its direction, in its relation to the motion of electromagnetic energy, then, its directly associated Chern Simons Invariants are said to be consistently changing (altering), or, in other words, its directly associated Chern Simons Invariants, are then said to be consistently undergoing perturbation. When such an inferred Noether-Based "team" of mass-bearing discrete energy quanta, are said to bear Chern  Simons Invariants, that are consistently in perturbation, then, there are basically always to be two general types of residual output, that are here to be emitted by the correlative general gauge-metric-related motion, that is here to be basically attributed to the earlier inferred general tendency, of a directly corresponding consistent perturbation of Chern Simons Invariants: 1) A harmonic output of metric-gauge-related eigenstates. And; 2) An anharmonic output of metric-gauge-related eigenstates. -- The just mentioned harmonic output of such metric-gauge-related eigenstates, tends to reverse-fractal, into what may be perceived of, as being, "charge." While; The mentioned anharmonic output of such metric-gauge-related eigenstates, tends to reverse-fractal, into what what may be perceived of, as being, "entropy." The more recursively generative, that the harmonic output of such eluded-to metric-gauge-related eigenstates is to be, the more that such an inferred Ward-Cauchy-Related situation, will consequently tend to reverse-fractal, into a relatively high scalar amplitude of magnetism. Furthermore; The more recursively generative, that the anharmonic output of such eluded-to metric-gauge-related eigenstates is to be, the more that such an inferred Ward-Cauchy-Related situation, will consequently tend to reverse-fractal, into a relatively high scalar amplitude of entropy. TO BE CONTINUED! SINCERELY, SAM ROACH. (1989). 

Perpetual Accommodation -- Correlative Attribute Of Partition-Based Discrepancies

 The prior mentioned perpetual accommodation, as to the proportional alteration, in the respective correlative physical attribute of partition-based discrepancies, by an alteration in both the mass, length, and time, -- in order to accommodate for a change in the correlative "dimensional-related discrepancy," is at the "heart" of the general process, of what I have worked to describe of, as being, "the conservation of homotopic residue." I will continue with the suspense later! Sincerely, SAMUEL DAVID ROACH.

Homotopic Waves -- Homotopic Residue

 Homotopic waves may often help at working to describe metric(al)-related associations of dimensional-related pulsations.  So; when a given arbitrary physical entity, that is here to be exhibiting the general characteristic of acting as a topological manifold, in which it is here to be considered in lieu of its Ward-Cauchy-Based nature, is thence to change or alter in its respective physical attribute of dimensional-related pulsation, then, not only will the given arbitrary entity of topological manifold, of such a respective case, tend to work to form a metric-based Chern-Simons singularity -- at the covariant "point" in duration, at which such an inferred set of discrete energy quanta, is here to have phased into such a said change in its dimensional-related pulsation, yet, in the process of doing so, -- this general process that has just been eluded-to here, will also tend to work to involve, the eminent proximal adjutant flow, in the dispensation of its directly associated tense of energy-related indices, over a discrete increment of time. (That is, as this is taken over the course of a directly corresponding Fourier Transformation.) Such a general genus of an eminent adjutant flow, in the dispensation of a tense of energy-related indices, as taken over a Fourier Transformation, is directly associated with the general Ward-Cauchy-related concept, of what I term of as being the physical condition of "homotopic residue." To Be Continued! Sincerely, SAM ROACH. (1989).

Change In Vibrational Mode, And Homeomorphic Alteration In Impedance

 When the vibrational mode of a given arbitrary light-cone-gauge eigenstate, is to harmonically alter, over the course of a directly corresponding Fourier-Transformation, the directly associated increment of discrete energy impedance, will thereby consequently tend to change, in a homeomorphic manner. SAM. (1989).

More As To Inverted Energy-Charge

 The accelerated/decelerated inverted energy-charge of holonomic metric-gauge eigenstates, tend to work at helping to form the general phenomenology, of the multiplicity of the proximal local presence, of the corroborative sub-cohomology eigenstates. The greater that the “regional-swipe-inhabitation” is to be, for those sub-cohomology eigenstates, that are here to be proximal local to a super string-related region, the more that the resultant relationship, that is here to be of that mathematical expression, which is to be signified by the Beti number, is to work to involve a higher integer value, in expressing the stated Beti number. Consequently; the higher that the absolute value of the directly corresponding Beti number is to be, the more change that the spatial dimensionality of the directly corresponding proximal local super string of discrete energy permittivity, is to exhibit. Thank you for reading! SAM ROACH. (PHS1989).

Magnetism Directly Associated With Charge

 Let us initially consider a charged mass-bearing cohesive set of discrete energy quanta, that is here to be transferred from one given arbitrary locus to another given arbitrary locus. The quicker that the correlative Chern-Simons Invariants are to perturbate, that are here to be of the said respective mass-bearing cohesive set of discrete energy quanta, to where these are here to be most directly associated with the general process of the flow of the charged motion, of such an inferred set of interdependent discrete energy, to where this will consequently tend to reverse-fractal into bearing the result, of such a general kinematic tense of an inferred type of a procedure, of which is here to be directly corresponding to the Lagrangian-based motion of a superstring-related Fourier Transformation of a charged particle, that is being transferred through space over time, to where this particular scenario of a charged mass-bearing cohesive set of discrete energy quanta, is thence to tend to work to bear a heightened scalar amplitude of magnetism associated with its charge, as when compared to an ulterior superstring-related situation, in which the correlative Chern-Simons Invariants are to alter in the exhibition of their delineation in a slower manner, of a covariant-related tense of change over time.To Be Continued! I will continue with the suspense later! Sincerely, Samuel David Roach. (PHS1989).

The "Work" Of Partitions

To sum things up about the i*PI(del) Action:

The i*PI(del) Action, -- is the "work" of the alteration -- in both the manner and/or in the number of those partition-based discrepancies, that is to occur, when a cohesive set of discrete energy quanta, is to change in its relative motion -- when in its relationship to both the motion and the proximal local presence of electromagnetic energy.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach. (PHS1989).

More As To The Perturbation Of Chern-Simons Invariants

Whenever any given arbitrary mass-bearing orbifold eigenset is to not be changing in its relative motion, when this is here to be taken in its relationship to both the motion and the presence of electromagnetic energy --  its Chern-Simons Invariants will then consequently tend to not alter (perturbate), or, in other words, these particular Chern-Simons Invariants will then consequently tend to remain "invariant." Sincerely, Samuel David Roach.