As To Homotopic Dispersion; In Regards To The Correlative Scattering Of Abelian Cohomology-Related Eigenstates

 The homotopic dispersion of abelian cohomology-related eigenstates, when in terms of its eminent relationship, with the general correlative kinematic Fourier-Related-Progression, in which the recursive re-calibration of the directly associated Chern-Simons Invariants, that is to be Gliosis to the proximal local operation, in which there is here to be a given arbitrary generative operation, in which there is to be a Nijenhuis tense of the scattering of homotopic residue, is thence to bear a general tense of an interdependent respective association, to where its correlative relationship with such a scattering, as enacted upon such an implied tense of a given arbitrary set of homotopically dispersed abelian cohomology-related eigenstates, is to directly appertain, to a tense of the scattering of a relatively inert general genus of homotopic substrate, in part, on account of the general condition, that abelian cohomology-related eigenstates, often have the reductional tendency, of working to act as being more conformally invariant in their behavior, at an internal reference-frame, than the homotopic substrate of non abelian cohomology-related eigenstates, will tend to exhibit. Since the scattering of abelian homotopic residue, tends to work to involve, a tense of the scattering of of a relatively inert homotopic substrate, this general venue of a process, will thereby have the general tendency, of working to bear a greater scalar amplitude, of a metaphorical tense of "friction," over the general course, in which such a genus of homotopic substrate, is here to be scattered. Friction implies a tense of "disordered resistance." Disordered Resistance implies entropy. The general phenomenology of disordered resistance, when in terms of elucidating an explanation, as to the workings of electrodynamic residue, is aptly facilitated, when in terms of the characteristic utilization of Nijenhuis mathematical expressions. This, in part, is what I perceive as to be, the general idea, as to why the homotopic dispersion of a set of abelian cohomology-related eigenstates, tends to work to facilitate, the general formation, of the reductional phenomenology of Entropy. Sincerely, SAM ROACH.

Additional Thoughts -- Dispersed Homotopic Residue -- Recursive Re-Calibration Of Chern-Simons Invariants -- Charge/Entropy

 A given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be in the general process, of dispersing some of the surrounding homotopic residue, will tend to work to exhibit, both a Real Riemannian component, and also, a Nijenhuis Component -- During the general process, in which the recursive re-calibration of its proximally local formed Chern-Simons Invariants, is here to work to bear an eminently Yukawa interaction, with the general phenomenology, that it is scattering, in such an inferred way. Dispersed homotopic residue, that is here to initially be eminently comprised of, by the general heuristic Ward-Cauchy-Related stratum, of a composite set of non abelian cohomology-related eigenstates, will tend to bear an innate affinity, for working to form, the earlier inferred Real Riemannian component, of such mentioned dispersed homotopic residue -- since it often has the general tendency, of being less inert. Such a just indicated general venue of dispersed homotopic residue, will often have the general tendency, of working to spontaneously form charge-related eigenstates. Whereas; Dispersed homotopic residue, that is here to initially be eminently comprised of, by the general heuristic Ward-Cauchy-Related stratum, of a composite set of abelian cohomology-related eigenstates, will tend to bear an innate affinity, for working to form, the earlier inferred Nijenhuis component, of such mentioned dispersed homotopic residue -- since it often has the general tendency, of being more inert. Such a just indicated general venue of dispersed homotopic residue, will often have the general tendency, of working to spontaneously form entropy-related eigenstates. TO BE CONTINUED! SAMUEL DAVID ROACH.

Some Ideas; As To How Charge Is Produced By Harmonically Dispersed Homotopic Residue

 Integrative groupings of isometrically homogeneous harmonically dispersed cohomology-related eigenstates, that are here to bear a heuristic symmetry, to the exhibition of the relatively adjacent kinematically displayed recursively re-calibrated Chern-Simons Invariants, of which are here to be directly associated, with the characteristics of the eminent perturbative effect, of the Euclidean/Clifford Expansion of the Lagrangian-Based motion, of the directly associated Hamiltonian Operator, that is here to be in the general process, of dispersing the inferred homotopic residue, that it is to be displacing, via its innate tense of relativistic motion, to where each of the inferred individually taken eigenstates, of which are here to work to comprise the holonomic substrate, which is of the eluded-to integrative grouping of isometrically homogeneous harmonically dispersed cohomology-related eigenstates, is to work here, in so as to bear an even parity with each of the immediately adjacent analogous eigenstates, that are here to be of the proximal local harmonically dispersed homotopic residue, is here to be a key facilitative genus, of such an inferred topological manifold, of which I perceive of here, to be eminently related to the general idea, as to what works to form the reductional holonomic entity of physical charge. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989).

Civita Action Incurred Upon Symmetrically Wobbling Hamiltonian Operator

 When a Civita Action is to be incurred, upon an initial symmetrically wobbling heuristic Ward-Cauchy-Related Noether-Based mass-bearing Hamiltonian Operator, such a stated Operator, will often have the general tendency, of consequently reacting to such an inferred anharmonic incursion, in a general perturbative manner, by resulting in the ensuing exhibition, of consequentially tending to work to spontaneously display, a set of one or more asymmetric spin-orbital tensors, that are here to be delineated upon the eminent field-density of the mentioned Hamiltonian Operator, at a level that is Poincare to the proximal local substrate, that is here to work to facilitate, the incursion of the kinematic presence, of that holonomic Lagrangian-Based motion, of which works to help facilitate the kinetic spatial transference, of the topological manifold, that is here to be eminently associated, with the structural modulus of the recursive spatially transferred Hamiltonian Operator, that is here to be spatially delineated, over the course of space and time, along its general Lagrangian-Based path, over the course of its directly corresponding Fourier-Related-Progression. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Hamiltonian Operator -- Escalating Clifford Expansion -- Correlative Facilitation Of Escalating Euclidean Expansion

 When the proximal local Clifford Expansion, that is of the Lagrangian-Based motion, of a given arbitrary kinetically transferred Noether-Based mass-bearing Hamiltonian Operator, is to smoothly escalate, in a general heuristically hermitian manner, when this stated general process, is here to be occurring, under the general Ward-Cauchy-conditions, of the directly associated proximal local influence, of a given arbitrary homomorphically delineated anti gravitational field, this general type of a superstring-related situation, may often tend to work to facilitate, the correlatively eminent respective spontaneous escalation, of an accompanied Euclidean Expansion, when this is in terms of the general mannerism of kinematic Lagrangian-Based flow, of which the earlier inferred mass-bearing Hamiltonian Operator to be exhibiting the display of, over the directly corresponding respective durational span, of a correlative sequential series of group-related instantons. 'TILL NEXT TIME; ON THIS BLOG! TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989).    

Recursively Re-Calibrated Chern-Simons Invariants, In Conjunction With Homotopic Residue

 The multiplicity of recursively re-calibrated Chern-Simons Invariants, when in conjunction with dispersed homotopic residue, of which is here to be scattered in a Riemann-Related manner, tends to work to facilitate the formation, of the general phenomenology of charge. Whereas; The multiplicity of recursively re-calibrated Chern-Simons Invariants, when in conjunction with dispersed homotopic residue, of which is here to be scattered in a Rayleigh-Related manner, tends to work to facilitate the formation, of the general phenomenology of entropy. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. (1989).

Catalyst Of Homotopic Dispersion/Substrate Of Homotopic Dispersion

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta is to be spinning, it will tend to facilitate the dispersion of the proximal local homotopic residue, that is here to be coming into contact with the externalized core-field-density, that is here to be exhibited by the said mass-bearing cohesive set of discreet energy quanta, of such a correlative general case scenario. The implied spinning Hamiltonian Operator of this situation, may be thought of as being the Catalyst of the respective homotopic dispersion; Whereas, the implied homotopic field, that is here to be dispersed by the stated Catalyst of such a case, may be thought of as being the Substate of the respective homotopic dispersion. SAMUEL DAVID ROACH. I WILL CONTINUE WITH THE SUSPENSE LATER! MUCH THANKS! 

Cevita Action Eminently Incurred Upon Moving Hamiltonian Operator -- Lack Of Isometric Stability -- Set Of One Or More Metric-Based Chern-Simons Singularities

 When a Cevita Action is to be eminently incurred upon a given arbitrary moving Hamiltonian Operator, this general process, is to often tend to work to produce a correlative tense of isometric instability, upon the earlier stated Hamiltonian Operator, to where the inferred activity of this general case scenario, will often consequently tend to result, in the correlative covariant proximal local formation, of a respective set, of one or more metric-based Chern-Simons singularities, as incurred, at the Poincare level, to the kinematic locus of the Lagrangian-based path, that is of the said Hamiltonian Operator, as this is here to thereby be incurred upon the dimensional-related pulsation of the spatial delineation, that is here to be imparted upon the projected trajectory, of the generative cohomology-related structural development, of the motion of such an inferred overall energy of a system, to where the resultant spurious reaction of such a tense of energy-related phenomenology, to the earlier stated Cevita Action, will thereby often tend to result, in an alteration in the pulsation, of the Fourier-Related-Progression, of the time-related motion of such an inferred "team" of energy-related stratum, of which is here to be in the general process, of being transferred, from one general locus to another, as this is propagated along the Rarita Structure, over the covariant durational span, of a summed correlative respective sequential series of group-related instantons. TO BE CONTINUED! SAM ROACH.

Covariant Set Of Harmonized Homomorphic Second-Order Light-Cone-Gauge Eigenstates

 When one is to have a given arbitrary covariant set of harmonized homomorphic second-order light-cone-gauge  eigenstates, of which are here to work to comprise a given arbitrary specific first-order light-cone-gauge eigenstate, this will often tend to generally work to bear an eminent association, with the proximal local presence, of a respective first-order light-cone-gauge eigenstate, of which is here to bear a tense of isotropic gauge-invariance. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

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).

Resonant Vibration -- "In-Sync" -- Isotropic Stability

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be "in-sync" with its resonant vibration, it will often have a greater tendency, of working to bear a correlative tense of isotropic stability, than if it were not to be "in-sync" with its resonant vibration. It therefore consequently follows, to where; When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be "in-sync" with its resonant vibration, lit will often have a greater tendency, of working to bear a correlative tense, of exhibiting the display of a homomorphic field, than if it were not to be "in-sync" with its resonant vibration. TO BE CONTINUED! SINCERELY, SAMUEL ROACH. 

Conformal Repulsion/Conformal Attraction

 Let us, at first, consider two different initially covariant homotopically dispersed Hamiltonian Operators, that are here to bear a tense of a magnetic inter-relationship between one another. As one would more than likely presume; Both of such stated individually taken Hamiltonian Operators, are here to work to bear, both a general tense of angular momentum, and a general tense of spin-orbital momentum. It basically logically follows, therefore, that both of such said individually taken Hamiltonian Operators, will thereby work to bear a simultaneously spontaneous general tense, of both the exhibition-related display, of both a Euclidean Expansion, as well as exhibiting the display of an attributed Clifford Expansion, as taken in a respective covariant manner, via the vantage-point, of a central co-differentiable coni-axion. There is to logically be, amongst any set of magnetically interactive covariant co-differentiable Hamiltonian Operators, that are here to work to bear any viable tense of a Yukawa-Related Coupling between one another, both a general tense of conformal repulsion, and a general tense of conformal attraction -- of which are here to work to help facilitate their viable covariant differential association, at the substring-related level. At times, one may may stipulate, that the quotient between the respective correlative mathematical expression for the earlier implied Clifford Expansion, as divided by the respective correlative mathematical expression for the earlier implied Euclidean Expansion, as this is all multiplied by (-i/PI); -- may often be a potential mathematical way, of considering how to work to describe, the conformal repulsion, that is here to exist, between these two different stated covariant Hamiltonian Operators. Furthermore; At times, one may stipulate, that the product between the respective Mathematical Expression for the earlier implied Clifford Expansion, as multiplied by the respective mathematical expression for the earlier implied Euclidean Expansion, as this latter stipulation is all multiplied by (i*PI); -- may often be a potential mathematical way, of considering how to work to describe, the conformal attraction, that is here to exist, between these two different stated covariant Hamiltonian Operators. So; When one is to mathematically couple the earlier inferred "conformal repulsion" with the earlier inferred "conformal attraction," one will get the respective mathematical resultant, of simply the correlative "squared state" of the Clifford Expansion, of which may often have a tendency of simply working to indicate by this, that the Fourier-Related-Progression of the covariant planar gauged-action, that is to result between the two stated Hamiltonian Operators, will consequently involve the general physical condition, in which these two Hamiltonian Operators, will thence be exhibiting a steady-state transversal tense of conformal invariance, in which these Operators will resultantly be simply spinning/vibrating at a relativistically fixed locus, at a covariant internal reference-frame, to where these two inferred net eigenstates of composite discrete energy, will neither be moving away nor towards each other, at this point in translational development, since their potential repulsion/attraction characteristics, will, at this point in interaction, have the tendency, of being sufficiently countered amongst each other, since the respective correlative tangential wave-tug between them, will now be equally countered by the respective correlative co-tangential wave-tug between them. This is as such a general type of a case scenario, is here to be taken, at a level that is Poincare to the respective region, that is immediately external to the kinematic interplay, that is Yukawa, amongst the eminent electrodynamic magnetism, that is to be exhibited between these two earlier inferred respective types of Hamiltonian Operators. I WILL CONTINUE WITH THE SUSPENSE LATER! SAMUEL ROACH.

Resonant/Non-Resonant Tense Of Cohomology

 A resonant tense of cohomology, often tends to be eminently associated, with the general workings, of an abelian light-cone-gauge topology. Whereas; A non-resonant tense of cohomology, often tends to be eminently associated, with the general workings, of a non abelian light-cone-gauge topology. SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED! 

More, As To An Idea, Of What A Cohomology-Related Eigenstate Is

 To my current perception, in a way; A cohomology-related eigenstate, in effect, is an individually taken integrable covariant increment, of which tends to be distributed in its reductional tense of delineation, at a given arbitrary respective locus, that is proximal local to the general region, which is immediately external to the actual topological stratum of the core-field-density, of a respective inferred entity of superstring-like phenomenology of topological manifold, to where such an eigenstate, is here to act as a metaphorical "entity of peripheral pressure locus," of which is here to act as a given arbitrary superstring-related locus of convergence, that is "privy" to one of MANY "destination-points," that are here to work to come together in a quantized manner, in so as to work to help form the core-field-density, of a respective given arbitrary superstring-related phenomenology. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. 

Resultat Riemannian/Nijenhuis Component Of Dispersed Homotopic Residue --- Charge/Entropy

 The multiplicity of the resultant consequence, that is of the kinematic delineation, of the Riemannian component of a general tense of homotopic dispersion, as spontaneously enacted, upon the neighboring stratum of cohomology-related eigenstates, may often tend to work to help form, the general phenomenology of charge. Whereas; The multiplicity of the resultant consequence, that is of the kinematic delineation, of the Nijenhuis component of a general tense of homotopic dispersion, as spontaneously enacted, upon the neighboring stratum of cohomology-related eigenstates, may often tend to work to help form, the general phenomenology of entropy. I WILL CONTINUE LATER! SINCERELY, SAM ROACH.

Resonant Vibration Of Mass-Bearing "Team" Of Discrete Energy Quanta

 When the net light-cone-gauge eigenstate, of a given arbitrary isotropically stable  Noether-Based mass-bearing cohesive set of discrete energy quanta, is to vibrate harmonically -- in such a general manner, to where it will be working to exhibit the display, of the workings of a homomorphic field that is also internally homeomorphic, when this said homeomorphic tense of a physical condition, is in regards to the covariant symmetries that are here to innately exist, as among the directly associated composite first-order light-cone-gauge eigenstates, that work to help comprise, this inferred "team," of the net mass-bearing impedance of energy quanta, to where it will consequently often tend to follow, that this general set of conditions, will often work to facilitate the enhanced capability, of such an inferred Noether-Based mass-bearing Hamiltonian Operator, to be increasingly likely, to tend to be able to express the general reductional physical condition, of what may be thought of here, as a particular genus of resonant vibration. SAMUEL DAVID ROACH.

Isotropically Stable Angular Momentum -- Resonant Vibration Of Correlative Light-Cone-Gauge Eigenstate

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to work to bear an isotropically stable tense of angular momentum, the viable net incursion of this general characteristic, as physically implemented, upon the topological behavior of the respective said mass-bearing cohesive set of discrete energy quanta, will often have the general tendency, of working to allow for an enhanced capacity, in which the respective directly associated first-order light-cone-gauge eigenstate, that is proximal local to the physical composition of such an inferred "team" of mass-bearing energy quanta, will thereby have a heightened probability, of tending to work to exhibit the resultant display, of the general tense of a resonant vibrational Fourier-Related-Progression, as this is here to be spontaneously happening to the directly associated discrete energy impedance, that is proximal local to the topological behavior, that is Poincare in its general kinematic occurrence, to the holonomic phenomenology-related stratum, that is here to be directly pertinent, to the earlier inferred "team" of mass-bearing energy, that has been discussed in this particular post. TO BE CONTINUED! SAMUEL ROACH.

Gell-Mann Theorem -- Dispersion Of Homotopic Residue

 As in accordance with the Gell-Mann Theorem; -- When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta is to spin, it will consequently tend to work to form a dispersion of homotopic residue. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Resonant Vibration Of A Quantum Of Discrete Energy Impedance

 When all of the second-order light-cone-gauge eigenstates, of which are here to work to comprise the workings, of one given arbitrary respective individually taken first-order light-cone-gauge eigenstate, are here to bear a homeomorphic harmonization of their vibrational oscillation, this general genus of a kinematic process, will often tend to help, in working to allow, for such an inferred quantum of discrete energy impedance, to consequently have a heightened capacity, of resulting in working to form, a tense of resonant vibration. I WILL CONTINUE WITH THE SUSPENSE LATER1 O BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Reversal Of Spin -- Clifford-Related Anti-Holomorphic Kahler Conditions

 When a given arbitrary charged Noether-Based mass-bearing cohesive set of discrete energy quanta, (of which may be denoted here, as being a given arbitrary charged mass-bearing Hamiltonian Operator), is to spontaneously make a relative reversal, in the tense of its spin-orbital momentum, this general type of a process, will often help work to form, a set of one or more Clifford-Related Anti-Holomorphic Kahler conditions. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Reversal In Spin Of Hamiltonian Operator -- Metric-Based Chern-Simons Singularities

 When a given arbitrary charged Noether-Based mass-bearing cohesive set of discrete energy quanta, (the inferred Hamiltonian Operator), is to spontaneously work to bear a reversal in its relative tense of spin-orbital momentum, this will often tend to help cause, a directly corresponding proximal local respective set, of metric-based Chern-Simons singularities, at the locus (or loci), in which such a reversal in spin-orbital momentum, is here to occur. I WILL CONTINUE WITH THE SUSPENSE LATER! SAM ROACH.

Wess-Zumino Action Incurred Upon Hamiltonian Operator -- De Rham Cohomology -- Increased Probability -- Isotropic Stability

 When a given arbitrary Wess-Zumino Action, is to be incurred upon a given arbitrary Noether-Based Hamiltonian Operator, of which is here to be directly involved, with exhibiting the display of a De Rham cohomology, this general type of an occurrence, will often tend to increase the probability, by which such a stated Hamiltonian Operator, will thereby have an enhanced capacity, of being more likely to exhibit the display, of a general tense of isotropic stability, to where such a said Hamiltonian Operator, will thereby often tend to consequently have an enhanced chance, of working to spontaneously exhibit the display, of a homomorphic field. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM.

Constant Magnetic Force Incurred Upon A Hamiltonian Operator

 When a constant magnetic force is incurred upon a Hamiltonian Operator, this will often tend to work to facilitate the increased capacity, of allowing for such a stated Hamiltonian Operator, to work to bear a tense of isotropic stability, to where such a said Operator, is thence to have an increased probability, of spontaneously exhibiting the display, of a homomorphic field. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Discrete Energy Phenomenology That Is Gauge-Invariant -- Less Entropy

 Discrete energy phenomenology that is gauge-invariant, will often tend to exhibit less entropy, than discrete energy phenomenology that is not gauge-invariant. SINCERELY, SAMUEL DAVID ROACH.

Isotropic Stability -- Hamiltonian Operators

 An isotropically unstable Hamiltonian Operator, will often have a greater tendency, of working to bear a greater scalar amplitude of entropy, than an otherwise analogous isotropically stable Hamiltonian Operator would. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH. 

Lagrangian-Based Wave-Tug, Of A Given Arbitrary Respective Hamiltonian Operator -- Fixed Metric-Related Gauge -- Spontaneous Hermitian Inferred Motion

 When the Lagrangian-Based wave-tug, of the angular momentum of a given arbitrary respective Hamiltonian Operator, is to work to bear a proximal local fixed metric-related gauge, the said Hamiltonian Operator, will thereby often tend to spontaneously work to bear a hermitian flow of motion, over the durational course of the inferred Fourier-Related-Progression, in which the angular momentum of such a stated Hamiltonian Operator, is here to tend to work to maintain the inferred characteristic, of a general tense of isotropic stability. I WILL CONTINUE WITH THE SUSPENSE LATER! SAMUEL ROACH.

Isotropically Stable Hermitian Gauge-Invariant Hamiltonian Operator, Exhibiting The Display Of a De Rham Cohomology

 A given arbitrary Noether-Based isotropically stable hermitian gauge-invariant Hamiltonian Operator, of which is here to be exhibiting the display, of the workings of a De Rham Cohomology, will often tend to be working, to maintain a consistent tense, of an inertial-related thrust, in the holomorphic direction, of its delineation-related tangential wave-tug. I WILL CONTINUE WITH THE SUSPENSE LATER! SAMUEL ROACH.(1989).

Isotropically Stable Lagrangian-Based Fourier-Related-Progression

 An isotropically stable Lagrangian-Based Fourier-Related-Progression, that is here to be "performed" by a given arbitrary respective Hamiltonian Operator, will often tend to have a greater probability, of exhibiting the display of a De Rham cohomology, rather than a Dolbeault cohomology. Sincerely, SAMUEL DAVID ROACH.

Perturbative Heuristic Gravity, Incurred Upon A Hamiltonian Operator

The more perturbative of a heuristic gravitational force, that is here to be spontaneously incurred, upon a given arbitrary Noether-Based Hamiltonian Operator, the less likely that the said Hamiltonian Operator, will end-up resulting, in working to bear the general tendency, of exhibiting the display, of a proximal local tense of isotropic stability. I WILL CONTINUE WTH THE SUSPENSE LATER! SAM ROACH. TO BE CONTINUED! 

Succinct Piecewise Continuous Cohomology-Related Generation -- More Capable Of Bearing Isotropic Stability (Homomorphic Field)

 The more succinctly piecewise continuous that the cohomology-related generation is to be, when in terms of the Fourier-Related-Progression of the differential motion-related holonomy, of a given arbitrary respective Hamiltonian Operator, the more likely that such a stated Hamiltonian Operator, will tend to be more capable of working to exhibit the display, of a homomorphic field. This is to where, such a stated respective Hamiltonian Operator, will thereby also have the general tendency, of being more capable, of working to bear a heightened tense of isotropic stability. I WILL CONTINUE WITH THE SUSPENSE LATER! THANKS FOR READING! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Gauge-Invariance -- Facilitated By Lack Of Incurred Heuristic Gravitational Force

 Gauge-Invariance often tends to be more feasibly attainable, when there is a physical Lack, of an incurred perturbative tense of a heuristic gravitational force, as otherwise applied, upon the topological manifold, of the inferred covariant kinematically differentiable Hamiltonian Operator, that is here to be in question. TO BE CONTINUED! P.S. -- IT WOULD BE NICE, IF PEOPLE WERE TO DISCUSS THE IDEAS PRESENTED IN THIS PARTICULAR BLOG, ON YOUTUBE! THANK YOU FOR READING! SINCERELY, SAMUEL DAVID ROACH. 

Smooth Ricci Flow -- Flat Ricci Curvature -- More Succinctly Piecewise Continuous Cohomological Generation

 The smoother the Ricci Flow --  the more flat the Ricci Curvature -- the more Yau-Exact the correlative Hamiltonian Operator -- the more succinctly piecewise continuous the cohomological generation. SAM.

IN PART -- Why Light Moves In The Direction Of Least Time

 Time, in effect, is the sequential series of group-related instantons. All motion, happens in relation to the motion of light. Magnetism works to facilitate the existence of physical attraction/repulsion, so that there may be physical associations among phenomenology. Discrete energy quanta, are operational eigenstates, that work to bear their kinematic motion, in part, on account of those general associations among Ward-Cauchy-Related phenomenology, that are due to magnetism. Electrons are eminently associated, with the basis of the existence, of conformal adhesion/repulsion-related eigenstates. The flow of electrons, is electricity. The multiplicity of the gauged delineation of discrete energy quanta, works to form the basis, for the sequential series of group-related instantons. Light is basically formed, by the emitting of the residual energy of electrons. The flow of light, works to help, in facilitating the conservation of homotopic residue. The set of actions that are involved with the general process, of the conservation of homotopic residue, works at helping to cause the general presence, of both Yau-Exact conditions, as well as the general presence of Lorentz-Four-Contractions. Both Yau-Exact conditions and Lorentz-Four-Contractions, are needed, in part, in order to compensate, for any potential deviations, from gauge-invariance. Gauge-Invariance, is when a set of one or more considered light-cone-gauge-eigenstates, are non perturbative. The multiplicity of the light-cone-gauge, works to help restrain the motion, of discrete energy holonomy, so that the preceding physical associations, that such respective inferred energy eigenstates are to tend to make, will not be overtly spurious -- in so as to keep motion, from bering stultified. So; the multiplicity of the general action of the light-cone-gauge, tends to happen in the direction of least "resistance," in the flow of the sequential series of group-related instantons. Thereby; The multiplicity of Light, tends to move in the general direction of least respective stultification. This, in part, is why light tends to move, in the direction of least time. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Superstring-Related Assertion/Expression -- Superstring-Related Physical Entities/Superstring-Related Motion

 The general multiplicity, that is of the superstring-related assertion of space-time-related disturbances, of which are proximal local in their occurrence, from within the general arena of the substring-related regions of Ward-Cauchy-Based pressurized vacuum, tends to work to form the multiplicity, of the operator-like eigenstates, of superstring-related physical entities. Whereas; The general multiplicity, that is of the superstring-related expression of space-time-related disturbances, of which are proximal local in their occurrence, from within the general arena of the substring-related regions of Ward-Cauchy-Based pressurized vacuum, tends to work to form the multiplicity, of the Lagrangian-like eigenstates, of superstring-related motion. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Impact/Delineation-Related Response -- Disturbance In Space -- Holonomy/Lagrangian -- Discrete Energy

 The multiplicity of the impact that is to happen, upon the general substrate of superstring-related pressurized vacuum, in so as to work to help facilitate, the respective multiplicity, of the formation of a superstring-related disturbance of space, tends to work to help form, that general assertion-like physical attribute, of the respective disturbance of space, of which is here to tend to eminently facilitate, the respective multiplicity, of the formation, of the respective corroborative holonomy, of discrete energy phenomenology. Whereas; The multiplicity of the delineation-related response, to the earlier mentioned impact, tends to work to help form, that general expression-like physical attribute, of the respective disturbance of space, of which is here to tend to eminently help facilitate, the respective multiplicity, of the formation, of the respective corroborative Lagrangian, of discrete energy phenomenology. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! THANK YOU! SINCERELY, SAMUEL DAVID ROACH. 

Assertion/Expression Of Discrete Energy Phenomenology

 In a semi-metaphorical way; The multiplicity of the Assertion of discrete energy phenomenology, is to tend to behave, as the respective holonomy of such stated energy, whereas; The multiplicity of the Expression of discrete energy phenomenology, is to tend to behave, as the respective Lagrangian of such stated energy. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (PHS 1989).

Effulgence Of Eminent Strain Of Disturbance In Space

 In a way; The effulgence of the multiplicity of the eminent internalized strain of a kinematic disturbance in space-time-fabric, is a negative i times the respective effulgence of the multiplicity of the eminent externalized strain of the earlier mentioned respective kinematic disturbance in space-time-fabric. SAM.

Hermitian Alteration -- From A Clifford Expansion Into A Euclidean Expansion

 When the Fourier-Related-Progression, that is of the Lagrangian-based motion of a given arbitrary Hamiltonian Operator, that is to be initially propagated, via the workings of a hermitian Clifford Expansion, to where it is here to spontaneously bear an alteration (perturbation), into the ensuing Fourier-Related-Progression, of the Lagrangian-based motion of the respective  Hamiltonian Operator, that is thence to consequently result in ending-up being propagated, via the workings of a hermitian Euclidean Expansion; It follows, that this general type of an inferred  kinematic cohomology-related transformation, will often have some sort of a tendency, of being exhibited by the altered covariant field of such a stated Hamiltonian Operator, via the general mathematical workings, of the Greene Function. TO BE CONTINUED! SINCERELY, SAM. 

P-Adic Cohomology Incurred Upon An Initially Propagated Clifford Expansion

 At times, when an externalized p-Adic cohomology is to be incurred, upon the kinematic cohomological-related motion, that is of a given arbitrary Noether-Based mass-based cohesive set of discrete energy quanta, of which is here to be initially undergoing the Fourier-Related-Progression of a respective Clifford Expansion, this will occasionally have the tendency, of working to alter the kinematic cohomological motion, that is of such a stated mass-bearing cohesive set of discrete energy quanta, into consequentially perturbating in its general tense of tangential spatial expansion, in so as to spontaneously ensue to exhibit the display, of the Fourier-Related-Progression, of a resultant Euclidean Expansion. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Disturbance In Space -- Holonomy/Lagrangian Of Discrete Energy Phenomenology

The internalized strain, of the multiplicity of a disturbance in space, is key in the formation, of the holonomy of discrete energy phenomenology, whereas; The externalized strain, of the multiplicity of a disturbance in space, is key in the formation, of the Lagrangian of discrete energy phenomenology. SAM.

Cohomology Propagated Via Clifford Expansion -- Coil-Like Delineation -- "Ins" And "Outs"

 A cohomology-related structure that is to be tangentially propagated, via a non trivial Clifford Expansion, will, at times, have the general tendency, of working to form the mappable-tracing of a coil-like delineation. The more conformally invariant that the boundedness of the transversal delineation of such a propagated escalating cohomology-related structure is to be, the lower that the scalar amplitude of its correlative escalation will thereby tend to be; AND; The less conformally invariant that the boundedness of the transversal delineation of such a propagated escalating cohomology-related structure is to be, the greater that the scalar amplitude of its correlative escalation will thereby tend to be. The less escalated that the transversal partial of the correlative spatial transference is to be, of which is appertaining to the respective Clifford Expansion, the tighter that the respective coiling will consequently tend to be; to where this will often tend to work, to be directly associated, with a relatively greater helicity -- as taken with regards to the said coil-like mappable-tracing, that is of the stated cohomology-related structure. It follows, then; The more escalated that the transversal partial of the correlative spatial transference is to be, of which is appertaining to the respective Clifford Expansion, the less tight that the respective coiling will consequently tend to be; to where this will thereby often have the general tendency, of working to be directly associated, with a relatively lower helicity -- as taken with regards to the said coil-like mappable-tracing. TO BE CONTINUED! SAMUEL DAVID ROACH. I WILL CONTINUE WITH THE AWESOME SUSPENSE LATER! TO BE CONTINUED! SAM.

Initially Hermitian Cohomology Enacted Upon By Anharmonic Kinematically Differentiating Eigenstate

 When an initially kinematic propagated heuristically generative hermitian cohomology is to be enacted upon, by the spurious motion of an anharmonic kinematically differentiating eigenstate, this will often tend to work to help cause the spontaneous incursion, of a set of Chern-Simons singularities, upon the initially hermitian cohomology, as taken at the covariant locus/loci of space-time-fabric, in which such an inferred tense of enactment was here to be incurred, by the earlier stated anharmonic kinematically differentiating eigenstate. Such a general genus of an inferred type of a spurious incursion, will thereby tend to cause a respective perturbation or alteration in the exhibition, as to how the kinematic propagation, that is of such an initially stated heuristically generative hermitian cohomology-related projectional trajectory, is to be physically displayed, as the interdependent interaction between the inferred cohesive set of discrete energy that is here being respectively transferred, when in conjunction with the phenomenology of its actual motion, is to be interwoven as a discrete "team" of energy-like phenomenology, that is being transferred as a correlative respective general tense of a Hamiltonian Operator, that is here to tend to be in the process of being continually re-distributed in its delineation, over the general course of its Fourier-Related-Progression, over the course of space and time. SAM ROACH.

Jacobean Manifold Harmonization (JMH), And The Wess-Zumino Action

 When a Wess-Zumino Action is to be incurred upon the substrate of a given arbitrary Noether-Based mass-bearing set of discrete energy quanta, this may, at times, often tend to work to increase the general probability, of acting to bring these inferred eigenstates of discrete energy quanta, into the general physical condition of static equilibrium; as this is here to directly correspond, to a general genus of what I call, the Jacobean Manifold Harmonization. (JMH). I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Less Incursion Of Infrared Energy -- More Isotropic Stability

 The less infrared energy that is to be incurred, upon a given arbitrary magnetized Noether-Based mass-bearing cohesive set of discrete energy quanta, the greater the capacity that is to be present, in which such a general type of a stated Noether-Based mass-bearing cohesive set of discrete energy quanta, is thence to tend to be more likely, to spontaneously become more stable, in its isotropic behavior. THANK YOU! (1989). I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH.

Torsion Of Magnetized Quantum Set -- Isotropic Stability

 The greater that the scalar amplitude of torsion is to be, of which is here to be incurred, upon a given arbitrary magnetized Noether-Based mass-bearing cohesive set of discrete energy quanta, that is here to be working to exhibit the behavior of a De Rham cohomology, the more likely that such a stated mass-bearing set of discrete energy quanta, will have a tendency of working to bear a greater scalar amplitude of isotropic stability, than if it were to otherwise be exhibiting a lower scalar amplitude of an incurred torsional gauge-like action, as physically applied upon the topological manifold, of such an inferred "team" of mass-bearing discrete energy quanta. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAM ROACH. (1989).

Magnetism -- Enhanced Probability Of Spontaneously Ensuing To Work To Exhibit A Tense Of Isotropic Stability

 Whenever a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to become magnetized, it will consequently have an enhanced probability, of spontaneously tending to exhibit, an ensuing tense of isotropic stability. I WILL CONTINUE WITH THE SUSPENSE LATER! SAMUEL.

De Rham Cohomological Structrure -- Kahler-Invariant Lagrangian-Based Mode

 The kinematically propagating flow of a De Rham cohomological structure, tends to always be eminently associated with a Kahler-Invariant Lagrangian-Based mode, yet, a Kahler-Invariant Lagrangian-Based mode, doesn't always tend to be eminently associated with the kinematically propagating flow, of a De Rham cohomological structure. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

Kahler-Invariance

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to be in the general process, of working to maintain its particular respective mode of dimensional-related-pulsation, one may generally say, that such a stated Noether-Based mass-bearing cohesive set of discrete energy quanta, is here to tend to work to bear the directly corresponding attributable characteristic, of being "Kahler-Invariant." I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

Spurious Perturbation Out Of Gauge-Invariance

 When a given arbitrary initially gauge-invariant discrete quantum of energy, is to spontaneously work to bear a spurious perturbation out of gauge-invariance, it will often tend to bear an alteration, in the specific particular mode that is to be exhibited, by the respective behavior of its attributable tense of angular momentum. THANK YOU FOR READING, EVERYONE! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Isotropically Invariant Net Gauged-Action -- Back To Basics

 When the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is isotropically invariant, it, (the said mass-bearing cohesive set of discrete energy quanta), will consequently tend to spontaneously work, to maintain a constant tense of angular momentum. SAM.

Initially Spurious Mass-Bearing Set Of Energy Quanta -- Incursion Of Wes-Zumino Action -- Less Spurious Behavior

 The stronger that the scalar amplitude of a Wess-Zumino Action is to be, of which is here to be spontaneously incurred, upon the kinematically covariant topological manifold, of a given arbitrary initially spurious Noether-Based mass-bearing cohesive set of discrete energy quanta, the more likely, that the inferred "team" of mass-bearing energy (the said mass-bearing cohesive set of discrete energy quanta), will have the generally tendency of consequently ensuing, in so as to spontaneously result, in tending to have a relatively greater probability, of working to progress, into an ensuing tense of a physical condition, of tending to exhibit the display, of a resultant consequential effectual superstring-related behaviorism, that is here to be, of a relatively decreased tense, of a spurious Ward-Cauchy-Related physical condition. SAM.

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).

The RLH Equation

 Here is a mathematical idea, that I have recently stipulated. Although I am not super confident that this is to a tee; I will let you know what I have come up with here, and we'll give it a shot:

The natural log of [[The summation from N = 0 to infinity, of [(e^(N+3)/e^(2N)]] TIMES

                                                                           [[PI TIMES [The natural log of PI]/2]] TIMES

         [[1/[[INVERSE ZETA OF ZERO] TIMES THE NATUAL LOG OF [THE SUMMATION FROM N = 0 TO INFINITY, OF [[I TIMES PI]/e^(2N-1)]]}]

= 0 +1+2+3... =  {~ INFINITY (FOR A EUCLIDEAN-RELATED EXPANSION), OR, (-1/12) (FOR A CLIFFORD-RELATED EXPANSION}. 

I CALL THIS EQUATION, THE "RHL" EQUATION.

PLEASE LET ME KNOW HOW I DID. FEEL FREE TO COMMENT! IF THERE'S A MISTAKE, PLEASE TELL ME WHAT YOU PERCEIVE. THANK YOU FOR YOUR READERSHIP! SINCERELY, SAMUEL DAVID ROACH. TO BE CONTINUED!                                                              

Nijenhuis Group-Attractor

 In a way, one could call a Hamiltonian Operator, that is here to spontaneously tug different superstring-related phenomena, of which were not initially of the same universal setting, to be drawn into the same universal setting, a Nijenhuis Group-Attractor. I WIILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Wavelength Eminently Associated With Holomorphic Transfer -- Helicity Of Lagrangian-Based Paths

 Let us initially consider the Fourier-Related-Progression, that is here to be of two different given arbitrary covariant Noether-Based mass-bearing cohesive sets of discrete energy quanta, of which are here to be spiraling around each other, in a double-helix. Let us next consider the general condition, that each of such individually taken helices, is here to function, as an operationally-bound wave, of which is here to be eminently associated, with the directly associated holomorphic transfer, that is here to be corresponding to the projected trajectory, that is to be correlative to the mappable-tracing, of the generative cohomology-related structure, that is here to work to help indicate, the covariant helicit Lagrangian-Based paths, that are here to be of the eminent interdependent association, of the traceable motion, that is here to be of the co-differentiable/co-determinable dual tense, of the interaction that is here to exist, between each of the two individually taken kinematically transferred mass-bearing cohesive sets of discrete energy quanta, that I had eluded-to at the beginning of this post. The more dampened that the wavelength of the eminently associated holomorphic transfer is to be, the greater that the helicity of its Lagrangian-Based path will often tend to be; And --- The more augmented that the wavelength of the eminently associated holomorphic transfer is to be, the lower that the helicity of its Lagrangian-Based path will often tend to be. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAMUEL ROACH. (1989).

Back To Basics: Covariant Cohesive Sets Of Mass-Bearing Discrete Energy Quanta -- Covariant Cohomological Structures -- Covariant Lagrangian-Based Paths

 Kinematic Fourier-Related covariant Noether-Based mass-bearing cohesive sets of discrete energy quanta, are often to tend to work to bear respective covariant cohomological structures, to where these will, as well, often tend to bear covariant Lagrangian-Based paths. TO BE CONTINUED! SAM ROACH.

Viably Correlative Generating Cohomological Structures -- Eminent Relationship -- Covariant Lagrangian-Based Paths

 Viably correlative generating Ward-Cauchy-Related cohomological structures, of which are here to work to bear an eminent relationship -- may be said to tend to bear covariant Lagrangian-Based paths. SAM.

More Hermitian Lagrangian-Based Motion -- Less Superstring-Related Fractal Of "Turbulence"

 The more hermitian of a Lagrangian-Based motion, that is here to be exhibited, by the Fourier-Based kinematic spatial transference, of a respective given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, the less of a superstring-related fractal of "turbulence," that such a stated mass-bearing cohesive set of discrete energy quanta, will consequentially tend to be displaying, as this is to be taken, at the correlative Ward-Cauchy-Related reference-frame, that is here to be at a level that is Poincare, to the general region, that is immediately external, to the core-field-density of such an inferred "team" of mass-bearing energy. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Incursion Of Cevita Action -- Anti-Holomorphic Kahler Conditions

 When a Cevita Action is to be physically applied, upon the topological stratum of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, this may often work to impart the general occasional tendency, of working to help facilitate the incursion, of the proximal local exhibition, of a set of anti-holomorphic Kahler conditions, as this may have a certain viable resultant probability of being spontaneously expressed, when this is here to be considered, duration-wise, as ensuing the inferred kinematic physical application, of the occurrence of the earlier stated Cevita Action. THANK YOU ALL! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. I APPRECIATE YOUR READING! 

Fourier-Related Kinematic Flow -- Cohomological Mappable-Tracings -- Covariant Lagrangian-Based Paths

 When the Fourier-Related kinematic flow, of multiple cohomological mappable-tracings, are here to bear an operationally eminent relationship with one another, one may consequently say, that these stated cohomological mappable-tracings, are here to work to bear covariant Lagrangian-Based paths. SAM.

Harmonics Of Schwinger-Indices -- General Types Of Scattering

 Harmonic propagated Schwinger-Indices, often have the general tendency, of having an enhanced capability, of working to help influence, the multiplicity of the formation of a Riemann Scattering, Whereas; Anharmonic propagated Schwinger-Indices, often have the general tendency, of having an enhanced capability, of working to help influence, the multiplicity of the formation of a Rayleigh Scattering. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Gauge-Boson Eigenstates Working To "Pluck" Isotropically Stable Light-Cone-Gauge Eigenstates -- Tendency Of Resultant Harmonic Vibrational Oscillations Being Propagated

 When a gauge-boson eigenstate, is to work to "pluck" an isotropically stable (second-order) light-cone-gauge eigenstate like a "harp," -- this may often have the general tendency, of having an enhanced probability, of working to bear the general resultant, of consequentially forming harmonic vibrational oscillations, of which are here to be propagated along the general Rarita Structure, in so as to tend to work to strongly influence, the multiplicity of  the general formation, that is of the reductional forces of physical nature. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

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.

Alteration Of Nijenhuis Tensors -- Perturbation In Tense Of Homotopic Dispersion

 When those Nijenhuis tensors, that are to be physically applied, upon the topological stratum, that is hereby to be of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, are here to be spontaneously altered, from their initial tense of effectual import, this may often tend to form a directly corresponding perturbation, in the correlative tense, of that general homotopic dispersion, of which such an inferred "team" of mass-bearing energy, had initially been working to exhibit the display of. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL DAVID ROACH.

Cohomology-Related Inertial Wave-Tug, At An Internal Reference-Frame

 Cohomology-Related inertial wave-tug, that is here to be conformally invariant, as this is here to be considered at an internal reference-frame, may thereby often be described of, as tending to be working to exhibit the display of a gauged-action, when in the process of doing such. TO BE CONTINUED! SAM. 

Cevita Action -- Hamiltonian Operator -- Rayleigh Scattering

 When a Cevita Action is to be incurred upon an initially steady-state Hamiltonian Operator, of which is here to work to consist of a multiple number of discrete energy quanta, this general type of an interaction, may often tend to work to impel, the spontaneous occurrence of an ensuing Rayleigh Scattering, that is here to be imparted, upon the earlier stated initially steady-state Hamiltonian Operator, that is here to be of such a given arbitrary respective case scenario.I WILL CONTINUE WITH THE SUSPENSE LATER!  SAMUEL. 

Altered Spin Of Cohesive Set Of Discrete Energy Quanta -- Perturbation Of The Correlative Dispersion Of Homotopic Residue

 When the spin of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta is to be altered, this will often tend to work to facilitate, a directly associated perturbation, when in correlation with the dispersion of homotopic residue, of which such an inferred "team" of mass-bearing energy, is here to be directly affiliated with. THANK'S FOR READING THIS TODAY! TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).