Diminishing Propagated Beam Of Light -- Clifford-Related Torsion -- Slater-Related Recursion

 A propagated beam of light, of which is here to be steadily diminishing in its field intensity, may said to respectively tend to be spontaneously enacted upon, by a Clifford-Related torsion. The recursively considered torsion, that is here to be heuristically enacted, upon such a beam of electromagnetic energy, in so as to work to facilitate such a steadily diminished hereupon inferred electromagnetic field intensity, may be said to often tend to work to be inherently related, to a directly associated Slater-Related recursive field operation, as taken over a directly corresponding respectively potential proscribed duration of time. SINCERELY, SAMUEL ROACH.

When The Gravitational Force Stops Its Perturbation -- Riemann Scattering

 When the gravitational force, that is here to be incurred, upon a specific set locus in space and time, is to spontaneously stop, in its initial general occurrence of perturbation, this may, at times, be eminently associated, with the proximal local incursion, of a Riemann Scattering, that may be spontaneously occurring, at this inferred proximal local region, in space and time, over the same general duration, in which the earlier stated gravitational force, is here to have ended, in its inferred initially occurring general process of perturbation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Hermitian -- Transversal And Metric Spatial Transference

 Noether-Based mass-bearing Hamiltonian Operators, that are hermitian in both their transversal and in their metric spatial transference, tend to work to bear a Fourier-Related-Progression, that is here to be eminently associated, with a relatively smooth mappable homotopic translation, as taken over a respective correlative duration of time. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Ricci Flow -- Escalating Euclidean Expansion -- Acceleration In Flow Of Frequency, Of The Correlative Transversal Hermicity

 When the Ricci Flow of a Hamiltonian Operator, is here to be undergoing an escalating Slater-Based Euclidean Expansion, the frequency in the flow of its correlative transversal hermicity, will consequently tend to accelerate, in a piecewise continuous manner, over a respective duration of time. SAMUEL. 

Heuristic Yukawa Coupling Incurred -- Holomorphic Kahler Conditions

 When a Wess-Zumino-Related Action is to be kinematically applied, upon the Lagrangian-Based motion of a given arbitrary Hamiltonian Operator, via the physical application of a Heuristic Yukawa-Related Coupling, as this is here to be taken over a proscribed relatively transient duration of time, this general genus of a Ward-Cauchy-Related tense of an activity, will often work to facilitate the cohomology-related initiation, of a mappable set of spontaneously induced proximal local holomorphic Kahler-Based conditions. I WILL CONTINUE WITH THE SUSPENSE LATER! Sincerely, SAM ROACH. 

Inverted Yukawa Coupling -- Anti Holomorphic Kahler Conditions Incurred

 When a given arbitrary Cevita Action is to incur an inverted Yukawa Coupling, upon the Lagrangian-Based motion of a respective given arbitrary Hamiltonian Operator, this general modus of operation, will often tend to work to facilitate the spontaneous proximal local presence, of a set of anti holomorphic Kahler conditions, upon the directly corresponding topological region, of which such a stated Hamiltonian Operator is to be Gliosis with, over the eminent duration in which such a mentioned Cevita Action, is to be physically translated upon the stated Lagrangian-Based motion, of such a system of energy-related eigenstates.I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH, 

When The Net Gauged-Action Amongst A Set Of Hamiltonian Operators Is Steady-State

 When a given arbitrary set of Noether-Based Hamiltonian Operators, is to work to bear a recursively stable Yukawa-Based inter-relationship, over a given arbitrary respectively proscribed duration of time, the resultant net gauged-action, that is here to be present among the proximal local kinematic activity, of such a stated set of Hamiltonian Operators, will often tend to work to bear the nature, of working to express a respective set of steady-state-related physical conditions, as this is here to be considered, over the general course of the inferred Fourier-Related-Progression, of such an implied "team" of interdependently interactive cohesive sets of discrete energy quanta. SINCERELY, SAMUEL ROACH. 'TILL NEXT TIME, AT THIS BLOG CITE. I WILL CONTINUE LATER WITH THIS!(SEE YAH!)

The More Yau-Exact That A Hamiltonian Operator Expresses Itself As

 The more Yau-Exact that a Noether-Based Hamiltonian Operator expresses itself as, the greater the tendency, that its directly associated generated homotopic residue, will spontaneously become  homogeneously distributed, in a piecewise continuous manner, over an ensuing duration of viable relativistic time. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL.

Transference Of A Holonomic Metric-Gauge Eigenstate

 When a holonomic metric-gauge eigenstate, is to work to bear a tangential spatial propagation, over the relativistic covariant co-differentiable span, of a sequential series of instantons, this will have a tendency of being eminently related, to the spatial transference of an energy-related increment, through a correlative Lagrangian, over a respective duration of time. TO BE CONTINUED! SINCERELY, SAM ROACH. (PINCKNEY, MICHIGAN, HIGH SCHOOL CLASS OF 1989).

The Quicker That The Spin-Orbital Momentum Is Spatially Translated, For A Mass-Bearing "Team" Of Energy Quanta

 The quicker that the spin-orbital momentum is to be spatially translated, for a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, over a given arbitrary respective fixed proscribed duration of time, the greater that the Fourier pro-generative effect, that is of its directly corresponding i*PI(Del) Action, will consequently tend to be, to where this general type of a process of an enhanced Fourier pro-generative effect, will thereby have the general tendency, of working to increase the amperage, that such an inferred "team" of mass-bearing discrete energy quanta, is here to be working to externally display. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID  ROACH. (PHS1989.)

Ward-Cauchy-Related Solitons -- Relative Scalar Amplitudes Of Wave-Tug

 Let us initially consider two different given arbitrary propagating Ward-Cauchy-Related solitons. Let us stipulate, under this particular type of a case scenario, that the immediately external medium, that both of these two individually taken propagating solitons is to be traveling through, are to be of the same type of a physical nature. Both of these just mentioned propagating solitons, are here to be spatially transferred, when in relation to the motion of electromagnetic energy, at the same rate of spatial translation, over a proscribed duration of time. Both of such said propagating Ward-Cauchy-Related solitons, are here to be observed "simultaneously," via the vantage-point of a central coni-axion. One of these two indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a unitary Lagrangian-Related spatial translation, over time; Whereas, -- the other of such indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a binary Lagrangian-Related spatial translation, over time. That stated propagating soliton, that is here to be directly working to involve the exhibition, of a binary Lagrangian-Related spatial translation, over the inferred proscribed duration of time, will generally tend to work to bear a higher scalar amplitude of wave-tug, upon the differentiable covariant physical environment that it is to be propagating through, than the other stated propagating soliton, that is here to work to be directly involving, the exhibition of a unitary Lagrangian-Related spatial translation, as this is also here to be taken, over that same proscribed duration of time. Next; Let us consider another set of two different given arbitrary propagating Ward-Cauchy-Related solitons. Both of these just mentioned propagating solitons, are here to be spatially transferred, when in relation to the motion of electromagnetic energy, at the same rate of spatial translation, over a proscribed duration of time. As similar to before; Both of such stated propagating Ward-Cauchy-Related solitons, are here to be observed "simultaneously," via the vantage-point of a  central coni-axion. One of these indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a binary Lagrangian-Related spatial translation, over time; Whereas, -- the other of such indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a  tertiary Lagrangian-Related spatial translation, over time. That stated propagating soliton, that is here to work to directly involve the exhibition, of a tertiary Lagrangian-Related spatial translation, over the inferred proscribed duration of time, will generally tend to work to bear a higher scalar amplitude of wave-tug, upon the differentiable covariant physical environment that it is to be propagating through, than the other stated propagating soliton, that is here to work to be involving, the exhibition of a binary Lagrangian-Related spatial translation, as taken over that same proscribed duration of time.  TO BE CONTINUED! SAMUEL. (1989).

Solitons -- BJS

 At the Ward-Cauchy level, a soliton is a wave-packet, that is here to be comprised of, by a set of one or more discrete energy quanta, in which the Betti number, of which is here to be directly corresponding to the eminent effectual tense, as to the potential loss and/or gain of the spatial dimensionality, of those superstrings of discrete energy permittivity, that are here to work to comprise such a set of discrete energy quanta, is thereby to often bear the general case, in which as inferred just before, the directly associated Betti number, that is here to be indicative, of any loss and/or gain in the number of spatial dimensions, that are to be exhibited, by the physical display, of those individually taken composite superstrings of discrete energy permittivity, that are here to work to form the entity-based eigenstates of such an eluded-to soliton, as this is here to be taken over the correlative duration, in which the inferred directly associated holonomic metric-based motion, of such a set of discrete energy quanta, is here to be propagated in its transference though time and space, will thereby often tend to be held at zero. It follows; that, at the Ward-Cauchy level, a soliton is a wave-packet, that is here to be comprised of, by a set of one or more discrete energy quanta, of which is here to often be in such a situation, to where such an inferred topological manifold, of a cohesive set of discrete energy quanta, will often tend to work to bear the general physical condition, of what I term of as being, the Betti Action Jacobean Stabilization (BJS). TO BE CONTINUED! SAMUEL.

Homomorphic Superstring With A Khovanov Geometry -- Generation Of Cohomology

 A homomorphic open-looped superstring, that is here to be exhibiting a Khovanov geometry, will often tend to be able to have the capacity, of generating as much cohomology as it is here to be degenerating, when this is to be taken in a piecewise continuous manner, over a correlative allotted duration of time. SAM.

Conformally Invariant Tense Of Static Equilibrium

 When the gauged-like action of a given arbitrary group-attractor, that is here to be applied, in a Yukawa-Related manner, upon a directly associated cohesive set of discrete energy quanta, -- is to counterbalance with the inverse-related operation, of the gauged-like action of a given arbitrary ghost-based inhibitor, that is also here to be applied, in a Yukawa-Related manner, upon the earlier mentioned respective directly associated cohesive set of discrete energy quanta -- this general tendency of a potential process, if applicable, will often tend to work to form the exhibition of the kinematic display, of a conformally invariant tense of static equilibrium, in the spatial translation, of the said cohesive set of discrete energy quanta, as this is here to be considered, over a directly corresponding proscribed duration of time. SAM.

Hermitian Expansion From Origin -- Slater-Related Escalation

 If an eigenstate that is to be moving away from its origin, is to work to bear a hermitian expansion in two spatial dimensions, over a given arbitrary discrete duration of time, -- then, the tangential flow of the motion of such a said departing eigenstate, will consequently often tend to work to bear an asymptotic Slater-related escalation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Compounded Homotopic Residue — Asymptotic Divergence

 The more that the homotopic residue of an escalating Lagrangian, that is here to be of a Euclidean expansion, is to be compounded, over a given arbitrary proscribed duration, that is here to be of a sequential series of group-related instantons, the more that the corresponding pertinent Euclidean tangential bundle(s) directly involved, will consequently result, in tending to diverge in more of an asymptotic manner. The more that the homotopic residue of an escalating Lagrangian, that is here to be of a Clifford expansion, is to be compounded, over a given arbitrary proscribed duration, that is of a sequential series of group-related instantons, the more that the corresponding pertinent hyperbolic tangential bundle(s) directly involved, will consequently result, in tending to diverge in more of an asymptotic manner. I will continue with the suspense later! Sincerely, SAM ROACH. (1989).

Cohesive Riemann-Related Scattering — Homeomorphic Field

 Often when one is to have multiple sets of discrete energy quanta, that are here to interactively engage in the physical exhibition, of a cohesive tense of a Riemann-related scattering, — the resultant field, that is thereby to be subsequently distributed from among the spatial eigenstates, that are of such a covariant tense of an implied interactive display, of sets of discrete energy quanta, will consequently tend to work to bear the sub-tension of a homeomorphic spatial delineation, over the correlative duration, in which such an inferred general genus of a Riemann-related scattering, is thence to occur. To Be Continued! Sincerely, Sam Roach.

The i*PI(del) Action And Topological Manifolds

When a given arbitrary mass-bearing orbifold eigenset is to consistently accelerate, in one manner or another -- in its relationship to electromagnetic energy, -- it (such a here stated eigenset), will tend to work to bear a respectively consistent alteration in its directly corresponding Lorentz-Four-Contraction, over that directly correlative duration of time, in which such an inferred set of cohesively functioning discrete quanta of energy, are to be changing in their directional-related rate of motion -- when in relation to the motion of electromagnetic energy.  As the Lorentz-Four-Contraction of a cohesively functional group of discrete energy quanta, is to consistently alter over a span of time, -- each of the superstrings of discrete energy permittivity that work to comprise such a set of discrete energy quanta -- will tend to consequently work to bear the same consistent general tense of an i*PI(del) Action-related attribute, in a manner that is here to be simultaneous, via the vantage-point of a central coni-point.  When the i*PI(del) Action is to occur in a Gliosis-related manner, upon the topological stratum of both a superstring of discrete energy permittivity and its correlative counter string, such an implied Action will consequently tend to alter both the scalar number of the directly pertinent partition-based discrepancies, as well as working to alter the geometrical-related attribution of such stated directly pertinent partition-based discrepancies.  This will also work to correspond to the simultaneous general activity of Relativity, -- in which the relativistic length, time, and the relativistic mass of the multiplicit eminent correlative orbifold eigenset, is to alter, As the directly corresponding Lorentz-Four-Contraction is to consistently change, -- over a directly corresponding Hamiltonian eigenmetric. When there is to be a consistent alteration in Both the partition-based discrepancies of a superstring of discrete energy permittivity and its directly pairing counter string, as well there to consequently also be the general alteration in the relativistic length, time, and mass, of the net orbifold eigenset, that such a set of inferred strings are to work to comprise -- this general tense of action, will thereby tend to bear at least some sort of an alteration in the topological contour of the herein stated orbifold eigenset, -- to where the respective external shell of such an implied set of discrete quanta that operate to perform one specific function,  will thereby tend to bear a resultant change in its general shape, over the course of the inferred evenly-gauged Hamiltonian eigenmetric.  An orbifold eigenset may be thought of, as being like a form of a manifold.  Therefore; when the i*PI(del) Action is to be consistently Yukawa upon such an orbifold eigenset, in a manner that is Gliosis to the holonomic substrate of its composite superstrings, at the Poincare level -- this will thereby tend to form at least some sort of a consistent perturbation in the topological manifold of the here mentioned respective given arbitrary orbifold eigenset. Sincerely, Samuel David Roach.

From Accelerating Via A Euclidean-Related Path Into Accelerating Via A Clifford-Related Path

When any one given arbitrary Noether-based orbifold eigenset, that is here to work to maintain its general tense of spatial dimensionality, is to initially go from being spatially transferred into a tense of a smooth transversally accelerating pattern of motion, via a mappable cohomology that may be traced in a Laplacian-based euclidean-related path, Into then subsequently altering in the general genus of its Lagrangian-based path, -- by being smoothly delineated via a mappable cohomology-related path, that is instead here to be of a Clifford-related manner, in spite of working to bear what would otherwise be the same consistent general pattern of being spatially transferred, via a tense of what would otherwise be the same general type of a smooth transversally accelerating manner of motion, over an evenly-gauged Hamiltonian eigenmetric, that is here to be of the same duration as the initially inferred general tense of motion; then, at the point in time and space at which such a said orbifold eigenset is here to be altering from being spatially transferred as a Hamiltonian Operator, that is here to initially be working to form a euclidean mappable cohomology-related path, via the operational translation of its Lagrangian, over a discrete quantum of time, Into subsequently being spatially transferred as a Hamiltonian operator, that is here to work to form a hyperbolic mappable cohomology-related path, via the operational translation of its Lagrangian, over a discrete quantum of time, -- this general type of an occurrence will consequently tend to work to cause, at the proscribed point of such an alteration in the general genus of a mappable-tracing, a set of one or more Lagrangian-based Chern-Simons singularities; -- although to where such a respective general genus of a scenario, will Often not tend to work to form metric-related Chern-Simons singularities, on account of the stated condition here proscribed of such an orbifold eigenset of such a respective given arbitrary case, to be a case in which one is here to be considering a Hamiltonian Operator, that is to be maintaining its condition of a smoothly-accelerating transversal-based pattern of motion, through time and space. Samuel Roach.

The Smallest Holonomic Substrate

The smallest discrete "quantum" of a holonomic substrate that is not frayed -- that may be "divvied-out," is on the order of about 2.062365054*10^(-129)*6.62607004*10^(-34)Joules*Seconds, or, in other words, about 1.366538*10^(-162)Joules*Seconds. This would thence be equivalent, to the smallest "quantum" of mini-stringular segmentation that is not frayed, that may be translated via a duration, through any sort of a viable spatial delineation.  I will continue with the suspense later! Samuel David Roach.