Harmonic Perturbation Of Anti Gravity -- Harmonic Alteration In Pulse

 The harmonic perturbation of anti gravity upon an otherwise gauge-invariant Hamiltonian Operator, may often tend to work to facilitate the generation of a harmonic alteration in its pulse. SAM ROACH.(1989).

Resonant Vibration Of A Relatively Tightly-Knit Net Majorana-Weyl-Invariant-Mode

 The stronger the resonant vibration of a relatively tightly-knit net Majorana-Weyl-Invariant-Mode is to be, the deeper of a pulse that its directly associated Hamiltonian Operator will tend to display. SAM.

Noether-Based Gauge-Invariant Superstrings Of Discrete Energy Permittivity

A Noether-Based gauge-invariant superstring of discrete energy permittivity, tends to work to exhibit the display of a hermitian Lagrangian-Based pulse. TO BE CONTINUED! SINCERELY, SAM ROACH.

Isotropically Stable Unitary Lagrangian -- Unitary Pulse

 Whenever a Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear an isotropically stable unitary Lagrangian, then, such an inferred "team" of discrete mass-bearing energy, will consequently often tend to work to bear the general physical characteristic, of exhibiting the display of a unitary pulse. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Consistent Unitary Pulse

 When a mass-bearing cohesive set of discrete energy quanta, that is here to work to bear a net Hermitian gauged-action, is to work to exhibit the display of a consistent unitary pulse, this will often tend to result in such a stated mass-bearing cohesive set of discrete energy quanta, to exhibit a De Rham cohomological mappable-tracing. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH.

Isotropically Stable Spin-Orbital Momentum, In Conjunction With Constant Pulse -- Gauge-Invariance

 The more isotropically stable that the spin-orbital momentum is to be, for a Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be exhibiting the Hamiltonian display, of a constant unitary Lagrangian-Based pulse-like motion, the more likely that such a mass-bearing cohesive set of discrete energy quanta, is here to often tend to be working to display a tense of gauge-invariance. SAM.

Pulse Of Schwinger-Indices

 Often, there is the general tendency, -- that the stronger the pulse of those vibrational oscillations, that are here to be propagated along the Rarita Structure, of which are here to be directly related to those Schwinger-Indices, that are formed by the "plucking" of second-order light-cone-gauge eigenstates by their directly correlative gauge-bosons, the more eminent that the directly associated force will tend to be, that is here to consequently tend to be transferred through the general medium of space-time-fabric. Sincerely, SAM.

(1/(e^(del of the Ricci Flow))) -- Proportional To Metric-Gauge-Related Pulsation

 Let us at first begin to presume; -- the proximal local initial physical tense, of a given arbitrary moving mass-bearing cohesive set of discrete energy, that is here to be in the process of pulsating, via its spatial transference, over a proscribed duration of time. The scalar magnitude of (1/(e^(del of the Ricci Flow))) is here to be proportionable, to the scalar magnitude of the rate of the metric-gauge pulsation, that is here to be directly associated with the fractal of momentum, that is thence to be correlative to the rate of motion of the said mass-bearing cohesive set of discrete energy quanta, of such a particular type of a case. So; when the scalar magnitude of (1/e^(del of the Ricci Flow))) is to work to bear a relative increase, -- the rate of the pulsation of the said cohesive set of energy of such a respective case, will consequently result in tending to be spontaneously augmented. If follows that; when the scalar magnitude of (1/(e^(del of the Ricci Flow))) is to work to bear a relative decrease, -- the rate of the pulsation of the said cohesive set of discrete energy quanta, will consequently often bear the result, of tending to be spontaneously attenuated. TO BE CONTINUED! SINCERELY, SAM ROACH.

As To One Genus Of Operation -- Tantamount to Another Genus Of Operation

An electrodynamic tense of resistivity, that is here to be operating upon an entropic-related gauged-action, may often "work" to form a tantamount resultant, to an electrodynamic tense of momentum-like phenomenology, that is here to be operating upon a pulse-related gauged-action. Sincerely, SAM ROACH.

Resonant Static Pulse

 When an expansive physical phenomenon, that is here to be displaying a tense of an escalating Lagrangian, is to harmonically cycle back-and-forth, — from initially working to bear the general tense of a genus of a compounded homotopic residue, to working to bear the general tense of a genus of an attenuating homotopic residue, to working to bear the general tense of a genus of a compounded homotopic residue....etc., then, — the pulsation of such a herein mentioned expansive physical phenomenon, will consequently, in the process of doing so, tend to work to bear the general tense, of what I will call in such a general case, the nature of a Resonant Static Pulse. To Be Continued! SAMUEL.

Metric Singularity And Torsion Of Pulse

Let us consider an orbifold eigenset -- that is here to be moving through space and time, over a smooth  monomial-related tense of a Lagrangian-based path; in which such a said eigenset, is consequently to be associated with the same number of directly corresponding directorals, in conjunction to the Fourier-related translation of the said orbifold eigenset, along its said Lagrangian-based path.  Let us next say that such an inferred eigenset, is here to either bear an increased torsion upon its correlative proximal local pulse, Or, a decreased torsion upon its correlative proximal local pulse.  In the process, what is to amount to here, as being either a respective increase in torsion or a respective decrease in torsion -- upon the pulse of the here stated orbifold eigenset, --  will almost certainly tend to result, in a consequential metric-related set of Chern-Simons singularities -- as this is here to be physically applied to the holonomic substrate of the topological stratum of the said orbifold eigenset, -- at the proximal region, at which such a change in the inferred tensor-related scalar amplitude of torsion, is here to enact such an inferred perturbation, upon the here stated orbifold eigenset, -- over an evenly-gauged Hamiltonian eigenmetric. Sincerely, Samuel David Roach.

Part Two Of Varying Pulse Of Orbifold Eigenset

When an orbifold eigenset is to homogeneously vary in the scalar amplitude of its pulse -- over a sequential series of group-related instantons, -- then, such a said orbifold eigenset will consequently tend to increase in its torque, over the so-eluded-to evenly-gauged Hamiltonian eigenmetric. Sam.

Varying Pulse Of Orbifold Eigenset

If a given arbitrary orbifold eigenset, is to vary in the scalar amplitude of its tense of superconformal invariance, over both a covariant, codeterminable, and in a codifferentiable manner, over a sequential series of group-related instantons -- to where such a set of discrete energy that operates to performs one specific function, is here to toggle, from initially tightening its tense of Majorana-Weyl-Invariant-Mode,  to susequently loosening its tense of Majorana-Weyl-Invariant-Mode, and back and so on..., then, such a respective orbifold eigenset, will then tend to vary from initially having an amplified pulse, to then subsequently having an attenuated pulse, and back and so on..., in so long as such a said given arbitrary orbifold eigenset, is to remain as stable in its other Ward-Cauchy-based conditions -- over a discrete evenly-gauged Hamiltonian eigenmetric.

Net Pulse Of Overall Added Chern-Simons Invariants

Let us initially consider the expression -- that may here be determined, for the overall added Chern-Simons invariants, that are of one given arbitrary respective case -- that are of a cotangent bundle that is of R4.
Let us then divide this just mentioned expression, by the overall path-related bundle -- that is directly associated with the said overall added Chern-Simons invariants, that are of this given arbitrary case, that is of a respective cotangent bundle of R4.
The resultant expression will then be tantamount to the net pulse of the so-eluded-to holonomic substrate, that is of the said overall added Chern-Simons invariants -- that is here to be incurred upon the Lagrangian-based tracing -- that is most directly associated with the respective given arbitrary cotangent bundle of R4, that is here of this given arbitrary specific case scenario.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Special Derivation

I derived the value "3.026*10^(-32)Kilograms" at the beginning part of my earlier formula, from the condition -- that the mass of a neutrino-based orbifold eigenset is of the value of 17,000 electron volt's eqivalent worth of mass.  An electron volt's equivalent worth of mass is 1.78*10^(-36) Kilograms.  17,000*1.78*10^(-36) Kilograms is 3.026*10^(-32) Kilograms.
Force is proverbially mass times acceleration.  If one were to take the mass of a typical neutrino-based orbifold eigenset, -- and if one were to make this to travel with a tense of a "pulse" of 1 meters cubed per second squared, (like a force, yet in terms of "meters cubed" per second squared instead of in terms of "meters" per second squared, since the macroscopic world is to bear the perverbial three spatial dimensions plus time) -- and if one were to then to multiply the latter by the said mass of a typical neutrino-based orbifold eigenset, -- then, one would then bear to have a value of "3.026*10^(-32)Kilograms*Meters Cubed/Seconds Squared.
The maximum mass of an individually taken neutrino-based superstring is, though, only a fraction of an electron volt's equivalent worth of mass.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

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.

Dimensional Compactification And Chern-Simons Singularities

The more compactified that the dimensionality of a superstring of discrete energy permittivity is to become, over time -- the more amplified that its directly corresponding Hamiltonian-related pulse will then have tended to become, since it will then become of such a nature to where it will tend to be tugged through space more "aerodynamically"  -- which will then tend to result in one or more metrical-based Chern-Simons singularities, that will here tend to be situated at the proximal locus at which it has to have then to become of a more compactified dimension, which will then result in the externalized propagation of a relatively ellongated pulse, that is here to be conveyed outward from the said string over time.

Chern-Simons Singularities And Relative To Light

Whenever a superstring of discrete energy permittivity is to change in the angular momentum-based eigenindices -- that are of the velocity of its motion relative to light, whenever such a superstring that has altered in such a so-eluded-to manner, relative to light, is here to be taken as a Noether-related phenomenon -- it will then to have tended to alter in its directorial-based pulse.  Such a Noether-related superstring -- that has then to have altered in the velocity of its motion relative to light -- will then to have tended to have altered in either its relative directoral-related speed and/or in its relative holomorphic direction.  Such a said superstring will then become of such a nature -- to where it will then to have tended to have worked to have formed a set of one or more metrical-based Chern-Simons singularities, over the course of that evenly-gauged Hamiltonian eigenmetric, in which its has to have altered in the velocity of its motion -- when this is taken relative to light.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Relative Pulse Of Norm-State-Projections

Since a Hausendorf norm-state-projection of one given arbitrary length, as this is taken along its topological surface at the Poincare level, will tend to work to bear a higher Hodge-Index than a Campbell norm-state-projection that is of the same given arbitrary length, as this is taken along its topological surface at the Poincare level --as this is correlative to the number of first-order point particles that work to comprise the correlative phenomenology of both such a  said comparative Hausendorf projection when in relationship to a said Campbell norm-state-projection, when this is taken in terms of the  holonomic substrate of the topological stratum of the said Hausendorf state in comparison to the latter mentioned genus of projection, when only working to consider this factor alone, such a respective given arbitrary Hausendorf norm-state-projection will then tend to bear a higher Hamiltonian-based pulse than a correlative Campbell norm-state-projection.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Hogde Indices

Sometimes, the determination of the effect of one substringular phenomenon upon another is not the multiplicitly Minkowski or Hilbert volume itself, yet the number of indices or the number of commutators associated with the construction or framework of the discussed phenomenon upon another. When what determines the direction of gauge-metric in terms of not just directoralization and the ability of motion, yet also helping to determine the velocity, acceleration, and jerking of two or more substringular phenomena over a Fourier Series integration that involves a sequence of iteration within a set region or locus, then the condition of relative distribution of first-ordered point particles is often what helps to determine the prior stated Fourier operations that help indicate the kinematic hermitian or perturbative phenomena translation of a set of gauge-actions and/or superstrings through a certain locus or region over a set of iterations that are defined by a given group metric. When such a scenario involves the addition of the first-ordered point particles as compared in two different phenomena regions, then a first-ordered point particle would be one Hodge Index basis, and the Hodge Index of the two respective phenomena would be the total sum of how many first-ordered point particles could fit in each of the two respective phenomena individually that are interacting within a locus or region. This correlation of relative Hodge Index will define an attribute of relative substringular or gauge-action sway, pulse, or motion via the Hamiltonian basis that describes the general momentum of the phenomena of a region or locus. When the Hodge Index basis is defined by the relative amount of second-ordered point particles that could fit in two respective phenomena that will interact with a momentum in a given direction, the dual Hodge Indices that thus correspond will help define the relative sway, pulse, motion, and directoralization of the interaction of these given phenomena through a described locus or region. A Hodge Index as one point particle fill or a basis is a volume determined operator. Yet, the integration of Hodge Indices though a locus or region that helps to define the relative thrust of a subspace or of a phenomenon is a Laplacian operation. This is Laplacin here because it does not happen in time, it is a timeless occurrence, or, in other words, it is description of a phenomena that already is in one set iteration of time. If the Hodge Index basis involves a counting of third-ordered point particles from within a phenomena that exists in a locus or region, then the respective Hodge Index Laplacian operation will be based on the number of third-ordered point particles that could fit in that given locus or region of phenomena if these were theoretically all flushly integrated together in that region of space. In either case, a Hodge Index basis never includes the kernels in-between where the fit-in point particles would set within a stratum. It (the Hodge Index as a Laplacian operation) only describes the number of theoretical points that could fit in a given stratum if these points were to roll into it as spheres with a separation of their basic actual field impedance. This, by helping to determine relative substringlar thrust in a direction, helps to determine the unfolding of activities in the substringular.