Monday, August 31, 2020

Magnetism, And Directly Corresponding Vortex-Related Behavior Of Cohomology-Related Structure

The higher that the scalar amplitude is to be, as to the correlative attribute of the magnetic conductivity - that any one given arbitrary respective mass-bearing cohesive set of discrete energy quanta,  is to work to exhibit, over a discrete evenly-gauged Hamiltonian eigenmetric, -- the higher  that the scalar amplitude of the wave-tug,  that will thence work to tend to reverse-fractal, into working to draw charges that are of the opposite chirality, towards the general direction of the respective vortex of the centralized region, that is here to be of the nature of a relatively non perturbative pressurized vacuum, that is here to be of the correlative respective given arbitrary annulus, that is here to be of the directly corresponding Gliosis-Sherk-Olive cohomology-related holonomic structure, that is here to be of the core-field-density of the correlative cotangent bundle of such a case,  that is here to be of the overall inferred given arbitrary cohesive "team" of discrete energy, that is here to be performing one specific task over time. To Be Continued! Sincerely, Samuel David Roach.

Sunday, August 30, 2020

The Impedance Of Space-Related Fabric And The Polyakov Action

 When a specific case of an instant under consideration, as to when the general interaction of the E(8)XE(8) superstring-related oscillation-mode With the general pressurized vacuum of space-related fabric, -- is to work to form an increase in the resistance-related modulus, of the specific given arbitrary respective scalar amplitude of that pressurized vacuum, that is to be proximal local to the Hamiltonian Operand of the space-time-related fabric, that is in the immediate path of a mass-bearing discrete quantum of energy permittivity, -- then, this general type of a gauged activity, will consequently tend to slow down the homotopic propagation of such an inferred superstring of discrete energy permittivity, that is here to be in the process of being transferred through space over a discrete increment of time.  When such a slow-down in the spatial translation of a Noether-based superstring of discrete energy permittivity is to occur, this general activity will consequently tend to form the physical conditions of an increased Polyakov Action. (Which will, over the same specific evenly-gauged Hamiltonian eigen metric, tend to work to allow for a proportionable decrease in the directly corresponding Lorentz-Four-Contraction).  This will thereby tend to coincide with that general type of an activity, in which the directly corresponding Fadeev-Popov-Trace eigenstate will consequently tend to ensue, in so as to work to bear an increased harnessing of the said discrete string, via the increase in the relative scalar amplification of the correlative hyperbolic condition, of the wave-related arc, that is here to be subtended from in-between the said Fadeev-Popov-Trace And its correlative superstring of discrete energy permittivity.  This will ensue, in so as to work to form that general tense of inertia, by which the inferred discrete quantum of energy of such a general case, will thus consequently tend to be inhibited to spontaneously accelerate -- in so long as no external influence is to work to drive the motion of such a said discrete quantum of energy, into an increased tense of a covariant acceleration along its correlative Lagrangian-based path, through the space-time-fabric of its correlative Hamiltonian Operand. SAM ROACH. 

Saturday, August 29, 2020

When Chern-Simons Invariants Are Invariant -- In A More Easy To Understand Description

 Simply put; whenever an organized set or "team" of superstring-related stuff that has mass (to where this will have a weight, in an environment that has a definitive gravitational influence), that works to do one specific type of an activity, at a very microscopic level, is to be traveling at the same velocity (when at both the same speed and in the same direction), in its relationship to the velocity of light, (and as inferred earlier, a velocity is a speed in a direction), then, such an organized set or "team" of superstring-related stuff that has mass (to where this will have a weight, in an environment that has a definitive gravitational influence) , that works to do one specific type of an activity at a very microscopic level, is then to be directly associated with those general Chern-Simons Invariants, that are here to remain as being unchanged, or, in other words, that are here to thence to remain as being "invariant." (This is to where, such said "Chern-Simons Invariants," are here to act, kind of like a very microscopic metric/Lagrangian-like "dross," in the superstring-related realm, that is to tend to "lag," unless it is to alter in its tense of propagation), (and a propagation, is when something is transferred along a structural entity -- like a metaphorical vibration that is propagated along a "skipping jump-rope.") Yet; if the speed and/or if the direction of such an organized set or "team" of superstring-related stuff that has a mass (to where this will have a weight, in an environment that has a definitive gravitational influence), at a very microscopic level, is to alter in its motion, when in its relationship to the motion of light, then the earlier mentioned Chern-Simons Invariants will alter -- to where these said "Invariants" will then, at this point in inferred time, no longer be of an invariant nature.  Consequently; this will then tend to work to cause the earlier inferred superstring-related "dross," to be propagated in a kinematic manner, -- to where this will then tend to reverse-fractal (this will thereby tend to exist in a similar manner, but in a more macroscopic way), into then tending to bear the condition, of working to form, what is commonly thought of as being physical "charge." To Be Continued! SAM ROACH.

Reverse Covariant Fourier-Related Radial Translation

 If two different charged mass-bearing cohesive sets of  discrete energy, are to be altering in their Chern-Simons Invariants at the same rate -- yet in the opposite covariant direction -- then, this will consequently tend to work to cause these two different said charged mass-bearing cohesive sets of discrete energy, to have the opposite chirality of a Fourier-related radial translation, to where this will consequently tend to work to cause these two different respective given arbitrary charged mass-bearing cohesive sets of discrete energy, to thereby work to bear the opposite physical charge. To Be Continued! Sincerely, SAM ROACH.

Super Conformal Invariance And Isotropic Stability

 Let's initially consider those individually taken mass-bearing superstrings of discrete energy permittivity, that are here to work to form a mass-bearing cohesive set of discrete energy quanta.  The more super conformally invariant that each of these individually taken superstrings are here to act as exhibiting, at an internal reference-frame, -- the more isotropically stable that the directly corresponding cohesive set of discrete energy quanta, of which such said superstrings are to work to comprise,  will consequently tend here to act as exhibiting. I will continue with the suspense later! To Be Continued! SAMUEL DAVID ROACH.

Friday, August 28, 2020

Magnetism And Isotropic Stability

 Let us initially consider a charged mass-bearing cohesive set of discrete energy quanta. The more isotropically stable that such a said cohesive set of discrete energy quanta is to be, the more that it will tend to exhibit a tense of magnetism.  Consequently; the less isotropically stable that such a said cohesive set of discrete energy quanta is to be, the less that it will tend to exhibit a tense of magnetism. SAM ROACH.

Wednesday, August 26, 2020

Cyclical Pattern Of Change In The Manner Of The Betti Action

 A cyclically re-iterative pattern of change in the Betti Number, that is here to be exhibited by those individually taken super strings of discrete energy permittivity, that work to comprise a cohesive set of discrete energy quanta, -- tends to work to reverse-fractal into a cyclically re-iterative pattern of change, that is here to be in terms of the spatial dimensionality of the thus inferred cohesive set of discrete energy quanta. Such an inferred cyclical pattern of a toggling back-and-forth motion, that is here to be considered, as initially going from a Ward-Cauchy-related tense of a space-wise dimensional compactification, while then ensuing in so as to be going into a Ward-Cauchy-related tense of a space-wise dimensional de-compactification, may thus often tend to work to help in forming a tense of torsion; -- in which -- if such an inferred cohesive set of discrete energy quanta, is then to be in the process of being spatially translated transversally over time, through the Hamiltonian Operand of a viable direction, that resultantly, such an inferred general activity of torque, will consequently tend to work to form a tense of an added boost, that is here to be of that wave-tug, that is of its directly corresponding angular momentum. To Be Continued! Sincerely, Samuel David Roach.

Tuesday, August 25, 2020

Editorial About Adenine Tri-Phosphate

 The proximal local presence of adenine triphosphate, from within the physical confines of any given arbitrary  biological entity, -- works to form to a certain extent, at least a slight influence upon the directional propagational of at least some of the holonomic-related eigenstates of the Rarita Structure. This influence upon at least a small part of the directional propagation of the Rarita Structure, tends to work to bear at least a certain degree of an influence upon that general  manner, in which those Ward-Cauchy-related Schwinger-Indices, that work to propagate, in so as to help at forming the basic forces and influences of physical nature, is then to be both geometrically translated and transferred, in so as to work to bear at least some sort of an influence upon the reductional forces of physical nature. SAM ROACH.

Isotropic Stability Of Cohesive Set Of Discrete Energy Quanta

 The more isotropically stable that any given arbitrary mass-bearing cohesive set of discrete energy quanta is to be, when this is taken at a level, that is here to be Poincare to the external surface of the said cohesive set of discrete energy quanta, -- both the greater that the scalar amplitude of its directly associated Majorana-Weyl-Invariant-Mode will tend to be, as well as working to bear the condition, to where the deeper that its directly corresponding resonant vibration will tend to be.  If such a herein mentioned mass-bearing cohesive set of discrete energy quanta, is to be of a physically charged nature, this will then tend to result in the condition, --  in which such an inferred Hamiltonian Operator, is then consequently to tend to work to bear a greater capacity of exhibiting a tense of magnetic conductivity. To Be Continued! Sincerely, Samuel David Roach. 

Monday, August 24, 2020

Spin-Orbital Tensors And Nijenhuis Delineation

The more spin-orbital tensors that any one given arbitrary cohesive set of discrete energy quanta is to exhibit, -- the more that its composite individually taken (super)strings of discrete energy permittivity,  will consequently tend to work to bear the proximal local presence, of a set of one or more of those inherent partition-based discrepancies, that are here to bear a Nijenhuis tense of a spatial delineation. Samuel David Roach.

Saturday, August 22, 2020

A Reminder As To Chern-Simons Invariants

 Let us say here, that one is to have a moving mass-bearing cohesive set of discrete energy quanta.  It is to be maintaining the same tense of motion, in its relationship to the motion of electromagnetic energy. As the immediately prior mentioned situation is here to be occurring, its directly corresponding Chern-Simons-related condition is to remain invariant (unchanged).  At the moment that the said mass-bearing cohesive set of discrete energy quanta, is to alter in its motion, in relation to electromagnetic energy, then, its Chern-Simons-related condition is to alter into a tense of perturbation.  Thence; those Chern-Simons Invariants, that are here to be directly appertaining to the motion of a cohesive set of discrete energy quanta, are actually only invariant or unchanging, -- if the said cohesive set of discrete energy quanta, is to be maintaining its same tense of motion, in its relationship to the motion of electromagnetic energy. SAM.

Chern-Simons Invariants And Drive In A Direction

 Let us initially consider two different cohesive sets of discrete energy quanta, that both have the same theoretical rest mass. Let us say that both of such respective individually taken cohesive sets of discrete energy quanta, are to be traveling at both the same transversal rate, and in the same transversal direction.  However; the spin-orbital momentum of each of these two stated respective cohesive sets of discrete energy quanta, when this is here to be taken in relation to one another, -- is not to be altering in the same manner.  That individually taken cohesive set of discrete energy quanta of the two, that is to work to bear a greater scalar amplitude of a perturbation in its correlative Chern-Simons Invariants, -- will consequently tend to bear a greater wave-tug in its directional flow, than the other of the two inferred individually taken cohesive sets of discrete energy quanta. To Be Continued Later! Sincerely, Samuel David Roach.

Friday, August 21, 2020

The Logos And The Tetragrammaton

At all 192 general "points" of contact, of the Logos upon the core of the "Big-Bang," at the initial instant of its imprint upon this just inferred core of potential fabric-related phenomenology, -- such a said imprint, worked to instantaneously form 192 respective individually taken shapes, which were here to be of a tetragrammaton-related nature of geometrical configuration.  These just stated 192 respective tetragrammaton-related geometrical configurations, consequently ended upon ensuing to kinematically work to help form all of the later resultant differential geometries, that were here to tend to work to facilitate the countless varieties of Ward-Cauchy-related boundary conditions. It is these just inferred countless variety of Ward-Cauchy-related boundary conditions, that consequently ensued to form those general manners of physical nature -- via which both the reductional forces, the reductional influences, as well as via which all of the other basic principles as to how physicality was to work, could thence consequently come into being able to develop into its present and later developments. To Be Continued! Sincerely, Samuel David Roach.

Specific Delineation Of Superstrings, And Oscillation-Based Tendency

 The specific delineation, that is of those individually taken discrete energy quanta (string-related phenomenology), that tend to work to be distributed along the external shell of any one given arbitrary correlative cohesive set of discrete energy quanta, -- tends to be highly influenced by the physical conditions of the directly corresponding E(8)XE(8) super string-related oscillation-based tendency, that is here to be correlative to the general activity, that is of such a here mentioned cohesive set of discrete energy quanta. I will continue with the suspense later! Sam Roach.

Thursday, August 20, 2020

Dimensional Compactification And Super-String-Related Topological Sway

 The more dimensional compactification that any given arbitrary superstring of discrete energy permittivity is to tend to bear, the less topological sway that its directly corresponding second-order light-cone-gauge eigenstates will tend to exhibit, -- consequently, the less dimensional compactification that any given arbitrary superstring of discrete energy permittivity is to tend to bear, the more topological sway that its directly corresponding second-order light-cone-gauge eigenstates will then tend to exhibit.  Furthermore; the more dimensional compactification that any given arbitrary superstring of discrete energy permittivity is to tend to bear, the less that its directly corresponding discrete energy permeability eigenstates will tend to exhibit a tense of spatial perturbation. Consequently; the less dimensional compactification that any given arbitrary superstring of discrete energy permittivity tends to bear,  the more that its directly corresponding discrete energy permeability eigenstates will then tend to bear a tense of spatial perturbation. Next; it consequently takes less of a perturbation of topological sway, for a lower spatial dimensional phenomenon to permeate through space, -- whereas; it takes more of a perturbation of topological sway, for a higher spatial dimensional phenomenon to permeate through space. To Be Continued! Sincerely, Sam Roach. 

Tensors Of Oscillation And Variety Of Correlative Formed Schwinger-Indices

 The higher that the number of the tensors of oscillation, which are here to exist over the course of the net radial translation of the spin-orbital-related motion, of those super-strings of discrete energy permittivity, which are here to work to comprise any given arbitrary cohesive set of discrete energy quanta, -- then, the more of a variety of potential types of Schwinger-Indices that may consequently tend to be able to be formed, by that general action, in which those correlative gauge-boson eigenstates, that are here to be proximal local to the general topology of those individually taken discrete energy quanta, that are to work to comprise such a cohesive set of discrete energy quanta, are to "pluck" their directly corresponding second-order light-cone-gauge eigenstates, -- in such a manner in which those consequentially resultant Schwinger-Indices are thence to be formed, in so as to propagate relatively outward throughout that general stratum that may be described of here as being of the Rarita Structure.  This will consequently work to mean, that when there are a relatively high number of spin-orbital tensors, that are here to be directly associated with the kinematic differentiation of those discrete energy quanta, that work to form the general topological stratum of any given arbitrary respective cohesive set of discrete energy quanta, that this general type of an activity, will often tend to form an increased potential variety in the general type of net gauged-action, that the directly corresponding Ward-Cauchy-related permeability will tend to be able to spontaneously express, over a correlative succinct period of time. Sam Roach.

Wednesday, August 19, 2020

Flat Ricci Curvature And Lowered Light-Cone-Gauge Co-Differentiation

The closer to "flat" that the Ricci Curvature is to tend to be, from within the Ward-Cauchy-related confines of a super-string-related region (in so long as basically all of the other sub-string-related conditions, that are not eluded-to in this general text -- are theoretically the same), -- the less wave-tug-related perturbation that there consequently tends to be, in the interdependent co-differentiation of those gauge-actions, that are here to be directly corresponding to those light-cone-gauge eigenstates -- that are here to be proximal local to the initially inferred Ward-Cauchy-related region, in which such an implied attribute of a relatively local non perturbative gravitational influence, is here to tend to behave in such a manner, that may be amply described of as exhibiting the initially mentioned behavior, as being of a relatively "flat" nature of Ricci Curvature. 'Til Next Time! To Be Continued! Samuel Roach.

Tuesday, August 18, 2020

The i*PI(del) Action And Force

 The faster that any one given arbitrary mass-bearing cohesive set of discrete energy quanta is to accelerate, the greater that its directly correlative i*PI(del) Action is consequently to tend to be.  The greater that the directly correlative i*PI(del) Action is to tend to be, for any one given arbitrary mass-bearing cohesive set of discrete energy quanta, the more wave-tug differentiation that will tend to be associated with those directly corresponding Schwinger-Indices, -- that are thence to be formed by the general "plucking" activity of those composite light-cone-gauge eigenstates by their correlative gauge-boson eigenstates, as this is here to exist from within the physical bounds of such those inferred composite discrete quanta of energy, that are here to work to comprise such a said cohesive set of discrete energy quanta. The more wave-tug differentiation that will tend to be associated with those directly corresponding Schwinger-Indices, that are formed by the general activity of those respective light-cone-gauge eigenstates being "plucked" by their correlative gauge-bosons eigenstates, -- that are here to exist from within the physical bounds of the inferred composite discrete energy quanta, that are here to work to comprise a said mass-bearing cohesive set of discrete energy quanta, -- the greater that the general quantum of force differentiation will consequently tend to be demonstrably existent as, when this is here to be taken in terms of the general overall change in force, that such an implied cohesive set of discrete energy quanta is to tend to be exhibiting, over some potentially proscribed given arbitrary time. SAM.

Monday, August 17, 2020

Interdependent Interaction Of Basic Forces Of Nature

 The greater that the interaction of the overall tense of the i*PI(del) Action is to occur, to where this is proximal local to any one given arbitrary region in time and space, -- the greater that the kinematic differentiation of the delineation of the i*PI(del) Action will consequently tend to be, not only when in consideration of the differential geometry of both the correlative superstrings of discrete energy permittivity and their counter parts, yet also when this is here to be in consideration of the respective proximal local light-cone-gauge eigenstates, that are here to be of that discrete permeability that is in a direct correspondence to the correlative implied discrete permittivity.  The greater that such a kinematic differentiation of the delineation of the i*PI(del) Action is to be, the more of a differential perturbation, that will consequently tend to be formed, as to the thence resultant formed Schwinger-Indices, that are here to be formed by the "plucking" interaction of the proximal local gauge-boson eigenstates With the directly correlative second-order light-cone-gauge eigenstates. This will consequently tend to form a heightened interdependent interactive progression of the basic forces of nature upon each other, over any proscribed respective correlative duration of time, in which such a general tense of a super string-related activity is here to occur. To Be Continued! Sincerely, SAMUEL  ROACH.

Interdependent Interactive Progression

 In general; the interdependent interactive progression of the multifarious i*PI(del) Action, works to help facilitate the basic ability of first-order point particles, to act upon substringular topology, -- in such a manner, to where this helps in the process of working to allow for the phenomenology of cohomology to reverse-fractal into the phenomenology of charge.  This then, consequently -- works in the process of helping to allow for the Noether Current to reverse-fractal into electrical current (charge per time). SAMUEL DAVID ROACH. (PHS1989).

Sunday, August 16, 2020

Reversal In Polarity And Antiholomorphic Kahler Conditions

 Whenever  any one given arbitrary charged mass-bearing cohesive set of discrete energy quanta, is to work to bear a reversal in its direction -- due to a reversal in its polarity of charge, this will consequently tend to be directly associated, with the resultant proximal local attribute of a set of one or more antiholomorphic Kahler conditions. SAM ROACH.  

Friday, August 14, 2020

Manner Of Inversion In i*PI(del) Action

Let us initially consider a charged mass-bearing cohesive set of discrete energy quanta, that is to initially be reverberating along a theoretically linear path, due to a cyclically iterative/reiterative reversal in its polarity of charge.  Let us then consider; that such a said general type of a charged mass-bearing cohesive set of discrete energy quanta, is all of the sudden spontaneously to work to bear a Nijenhuis symmetrical inversion in its composite correlative i*PI(del) Action, -- by a manner of one complex parameter of spatial dimensionality.  At the point in time and space, at which such a said charged mass-bearing cohesive set of discrete energy quanta, is to work to bear such a said inversion in its composite correlative i*PI(del) Action, it will tend to bear a tendency of attempting to veer into any one of potentially countless varieties of orthogonal directions, that would be of any individually taken tense of being of that respective unitary plane, that would here be normal to the point in space at which the inferred Nijenhuis symmetrical inversion in the i*PI(del) Action is to occur, as is here to be taken along the theoretically linear path at which the said mass-bearing cohesive set of discrete energy quanta, had been initially working to bear a cyclically iterative/reiterative reverberation, in its Lagrangian-related motion.  Consequently; if instead, there were to be those Ward-based conditions, by which the said general type of a charged mass-bearing cohesive set of discrete energy quanta, is all of the sudden spontaneously to work to bear a Nijenhuis symmetrical inversion in its composite correlative i*PI(del) Action, -- Yet, by a manner of two complex parameters of spatial dimensions, -- then, at the point in time and space, at which such a said charged mass-bearing cohesive set of discrete energy quanta, is to work to bear such a said inversion in its composite correlative i*PI(del) Action, it will then tend to bear a tendency of attempting to veer into any of one of potentially countless varieties of orthogonal directions, that would be of any individually taken tense of being of that respective binary planar region, that would here be normal to the point in space, at which the inferred Nijenhuis symmetrical inversion in the i*PI(del) Action is to occur, as is here to be taken along the theoretically linear path at which the said mass-bearing cohesive set of discrete energy quanta, had been initially working to bear a cyclically iterative/reiterative reverberation, in its Lagrangian-related motion. To Be Continued! Sincerely, Sam Roach. (PHS1989). 

Wednesday, August 12, 2020

Changes In Permittivity/Permeability

 Let us initially consider a charged mass-bearing cohesive set of discrete energy quanta.  Every time that it is to change in its correlative permittivity, then, its composite superstrings are to alter in their behavior -- as may be exhibited by a set of one or more inflections, upon the correlative i*PI(del) Action.  Furthermore; every time that a cohesive set of discrete energy quanta is to change in its correlative permeability, its composite light-cone-gauge eigenstates are to alter in their behavior -- as may be exhibited by a set of one ore more inflections, upon those directly corresponding Schwinger-Indices, that are thence to be formed by the action of that directly corresponding "plucking," that the correlative gauge-bosons are to impart upon their directly corresponding second-order light-cone-gauge eigenstates. Sincerely, Samuel David Roach.

Tense Of Regional Plane

 Let us initially consider, a cohesive set of discrete energy quanta, -- that is here to be traveling in a theoretically straight line, from within the Ward-based conditions of an overall three-dimensional space.  Let's next say that such an inferred grouping of energy quanta, is then to spontaneously, all of the sudden, at one point in space along its linear plotting of motion, to move into a mappable path, -- that is here to potentially be going into any possible orthogonal direction, as away from that proximal local region, by which it had been moving through, via its initial plotting of motion. One would then potentially need to consider, any of a large variety of choices, as may here may be extrapolated, via the scope of a unitary plane of potentially orthogonal paths, that it may then consequently take.  Next; let's consider, again a cohesive set of discrete energy quanta, -- that is here to be traveling in a theoretically straight line.  Let's next say that such an inferred grouping of energy quanta, is then to be theoretically traveling in a straight line, from within the Ward-based conditions of an overall four-dimensional space. Let's next say that such an inferred grouping of energy quanta, is then to spontaneously, all of the sudden, at one point in space along its linear plotting of motion, to move into a mappable path, -- that is here to potentially be going into any possible orthogonal direction, as away from that proximal local region, by which it had been moving through, via its initial plotting of motion.  One would then potentially need to consider, any of a large variety of choices, as may here be extrapolated, via the scope of a binary regional plane of potentially orthogonal paths, that it may then consequently take. Let's next say that such an inferred grouping of energy quanta, is then to be theoretically traveling in a straight line, from within the Ward-based conditions of an overall five-dimensional space.  Let's next say that such an inferred grouping of energy quanta, is then to spontaneously, all of the sudden, at one point in space along its linear plotting of motion, to move into a mappable path, -- that is here to potentially be going into any possible orthogonal direction, as away from that proximal local region, by which it had been moving through, via its initial plotting of motion.  One would then potentially need to consider, any of a large variety of choices, as may here be extrapolated, via the scope of a tertiary regional plane of potentially orthogonal paths, that it may then consequently take. (And So On, (etc.). ) To Be Continued! Sincerely, Samuel David Roach. 

Tuesday, August 11, 2020

Nijenhuis Inversion Of The Symmetry Of The i*PI(Del) Action

 When an initially reverberating charged mass-bearing cohesive set of discrete energy quanta, is  spontaneously to work to bear a Nijenhuis inversion in the symmetry of its directly corresponding i*PI(del) Action -- of which is here to be appertaining to a Nijenhuis symmetrical inversion of those delineation-related holomorphic tendencies, that are here to be associated with both those superstrings and their correlative counter strings -- then; there will consequently tend to be a path-related perturbation, that works to cause the said cohesive set of discrete energy quanta, of such a respective given arbitrary case, to wind-up to spontaneously veering into a Lagrangian-based path, that is here to be orthogonal to that initial path, -- in which such a stated cohesive set of discrete energy quanta, had initially been reverberating in. SAM.

Monday, August 10, 2020

What I Meant By An Inversion In The Symmetry Of The i*PI(del) Action

 What I had meant by an inversion in the symmetry of the i*PI(del) Action, -- is a symmetrical inversion in the delineation-related holomorphic tendencies, of those partition-based discrepancies -- that work to be placed along the physical boundaries, of the topological surface of both those superstrings and counter strings, that work to comprise any respective given arbitrary correlative cohesive set of discrete energy quanta, of such a case. l will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach. (PHS 1989).

A Smooth Tense Of Antiholomorphic Kahler Conditions

 When a current -- that is here to be constructed of, by the composition of a cohesive set of discrete energy quanta -- is to bear a metrical-related tense of an evenly-smooth reverberation, over the course of time, then, such a said current will consequently tend to work to bear an evenly-smooth tense, of a correlative set of antiholomorphic Kahler conditions.  When such an inferred reverberation of a current (that is of the respective given arbitrary cohesive set of discrete energy quanta), is here to occur, over the course of some proscribed duration of time, then, at the Poincare level to the said set of discrete energy, of such a respective case, there will tend to be the proximal local activity, of an iterative reversal,  in the polarity of that said current.  Consequently; this will tend to indicate the proximal local activity, of a smoothly iterative inversion -- in the symmetry of the correlative i*PI(del) Action, of the Fourier-related activity, of such a said respective given arbitrary cohesive set of discrete energy quanta. Sincerely, SAM ROACH.

Inversion Of Composite Partition-Based Discrepancies

 Let us initially consider an accelerating mass-bearing cohesive set of discrete energy quanta.  As those individually taken composite superstrings and their correlative counter parts, that are here to work to form the said mass-bearing cohesive set of discrete energy quanta, are here to be undergoing the general process of the tense of a Lorentz-Four-Contraction -- the earlier mentioned composite discrete energy quanta, are then to be consequently undergoing, what I term of as being the i*PI(del) Action.  If the particular manner of such an eminent tense of the i*PI(del) Action, is to invert in its symmetry, -- this just stated general type of a behavior, will consequently tend to reverse the direction of the wave-tug of the directly corresponding tense, of the perturbation of those Chern-Simons Invariants -- that are here to be appertaining to a behavioral attribute, that is here to work to involve the alteration of the motion of the said cohesive set of discrete energy quanta, when in its relationship to light (electromagnetic energy). Such a reversal in the direction of the wave-tug, that is here to be appertaining to the directly corresponding tense of the perturbation in the correlative Chern-Simons Invariants, -- will consequently tend to be associated with a reversal in the polarity of that correlative current , that is here to be most associated with the respective charge, that may here be extrapolated from a reverse-fractal of the cohomology-related phenomenology, that is here to be directly corresponding to that effect of those world-sheets, that is here to be caused by the interaction of the projection of the so-stated discrete energy quanta, With the surrounding first-order point particles. SAM.

Chern-Simons Invariants, And Change In Polarity

 When those perturbative Chern-Simons Invariants, that are here to be directly associated with the activity of one given arbitrary charged mass-bearing cohesive set of discrete energy quanta -- are to reverse in the direction of the wave-tug of such a perturbation; that directly associated current, that is here to be correlative to the activity of the charge, that may be associated with such a cohesive set of discrete energy quanta, -- will consequently tend to reverse in its directly associated polarity. Continued! Sincerely, Samuel Roach.(1989).

Perturbation In Angular Momentum Of Cohesive Set Of Discrete Energy

 The general occurrence of a perturbation in the directional wave-tug, that is of the angular momentum of a cohesive set of discrete energy quanta, generally tends to be more associated with the workings of the mappable-tracing of a Dolbeault cohomology --  than with the workings of the mappable-tracing of a De Rham cohomology. I  will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Dolbeault Cohomology And Antiholomorphic Kahler Conditions

 The more antiholomorphic Kahler conditions, that are here to be associated with the kinematic activity of a cohesive set of discrete energy quanta, -- the more likely that such a said cohesive set of discrete energy quanta, will consequently tend to be working to form the mappable-tracing of a Dolbeault cohomology. Continued Later!  Sincerely, Samuel David Roach.

Sunday, August 9, 2020

De Rham Cohomology And The Lack Of Antiholomorphic Kahler Conditions

 The less antiholomorphic Kahler conditions, that any one given arbitrary cohesive set of discrete energy quanta is to exhibit, -- the more likely that such a cohesive set of discrete energy quanta, is consequently to be working to bear the mappable-tracing of a De Rham Cohomology. To Be Continued! Sam Roach.

Saturday, August 8, 2020

The Betti Action And Orientation

 During any given arbitrary iteration of the Betti Action, -- for any one respective given arbitrary superstring of discrete energy permittivity, the behavior of the inferred string and its counter string -- are to consistently exhibit a mirrored trivially asymmetric pattern of vibrational oscillation. This just inferred general type of behavior, works to help such strings to persist as being "orientable." Sam Roach.

Also:  All of the superstrings of any one given arbitrary cohesive set of discrete energy quanta, are to work to exhibit the same type of behavior, when this is here to be taken in terms of their correlative Betti Action. Sam.

Change In The Betti Action And Charge

 Whenever the Betti Action, that is here to be appertaining to the physical conditions of a given arbitrary cohesive set of discrete energy quanta, -- is to alter in its tense of kinematic behavior, -- then, this general respective alteration in the behavior, that is of the just mentioned cohesive set of discrete energy quanta, will often tend to work to have at least some sort of an effect upon the physical attributes of the charge of such a said cohesive set of discrete energy quanta. To Be Continued! Sincerely, Samuel David Roach.

Thursday, August 6, 2020

Perturbation Of Chern-Simons Invariants And Delineation Of Cox Rings

 When those Chern-Simons Invariants, that are here to be appertaining to the physical conditions, of any given arbitrary cohesive set of mass-bearing discrete energy quanta, are to bear a time-wise tense of a set of one or more spatial perturbations, -- then; the situation will consequently tend to arise, to where those directly corresponding cohomology-related Cox Rings, that are here to be most associated with the kinematically altering mappable-tracing, that is here to be appertaining to the changing tense of the net cohomology, that is of the respective said given arbitrary cohesive set of discrete energy quanta -- to where there is consequently then to be, the kinematically covariant proximal local presence, of a resultant alteration in the relative spatial delineation of such said Cox Rings -- when this is here to be taken in respect to the individually taken strings of such a said cohesive set of discrete energy,  in relation to one another, over some correlative respective given arbitrary period of time, that is here to be arbitrarily proscribed (that is thence here to be considered, over an evenly-gauged Hamiltonian eigenmetric). This Is To Be Continued! Sincerely, Samuel David Roach.

The i*PI(del) Action And The Delineation Of Del Pezzo Spaces

The kinematic activity of the i*PI(del) Action, tends to work to alter the delineation of the correlative Del Pezzo Spaces. An alteration in the delineation of the correlative Del Pezzo Spaces, tends to work to alter the wave-tug of the directly corresponding cohomology.  An alteration in the wave-tug of the directly corresponding cohomology, tends to reverse-fractal, in so as to work to alter at least some attribute, of the directly corresponding physical current -- via a correlative alteration in at least some attribute of the directly corresponding charge. SAM.

Wednesday, August 5, 2020

Current And Del Pezzo Spaces

That covariant kinematic Fourier-related interplay, that is of those general interdependent Del Pezzo Spaces, that act, in so as to work to help in forming the multiplicity of the general cohomology-related stratum, of which is here to be appertaining to the electromagnetic proponent, of those countless cohesive sets of discrete energy quanta, as taken at a very microscopic level, via the general activity of those superstring-related fields, that are here to be comprised of, in part, by the homotopic attribute of mini-stringular segmentation, over time, -- works to help to form that Noether-related flow of current, in which charges are thence to bear multiplicity, in so as to tend to help in allowing for those necessary attraction/repulsion conditions, that are needed, in order for physical interaction to be able to be sustainable. Sam Roach.

More As To Del Pezzo Spaces

Del Pezzo Spaces may often be thought of, as being the delineation-related eigenstates of Cox Ring phenomenology. I will continue with the suspense later! To Be Continued! Sincerely, Samuel Roach.

Tuesday, August 4, 2020

More As To Cox Rings

Let us initially consider those given arbitrary physical factors, that work to help mathematically define -- what may be tantamount to a geometrically-oriented Grobner Basis, -- by which, given the Ward-Cauchy-related conditions of the correlative given arbitrary respective cohesive set of discrete energy quanta, that are here to be of such a particular case, there is often to be a situation in which one is here to work to determine a set of the most probable mappable-tracings, -- at which the resultant cohomology of such a cohesive set of discrete energy quanta, is to most probably to be existent at -- over the course of one Laplacian-based particularly considered iteration of group-related instanton.  Next; let us next consider, that the respective cohesive set of discrete energy quanta, is to work to bear a generally typified abelian light-cone-gauge topology.  When one is consequently to make a more refined mapping,  in so as to work to mathematically consider a correlative set of best-fit hermitian curves, in so as to work to determine the general tense of the delineation of such cohomology-related mappable-tracing(s), it is thereby to be those consequentially resultant ring-like structures -- that are here to be tantamount to the earlier mentioned "best-fit hermitian curves," that may often tend to be thought of, as being a tense of what I am here to term of as being "Cox Rings." Sincerely, SAM.

Sunday, August 2, 2020

Part Of The Reason, As To The Existence Of "Partition-Based Discrepancies"

The reason as to why it is necessary, for there to be the presence of partition-based discrepancies among superstrings of discrete energy permittivity, is to help to allow for the the tendency of the exhibition of a balance -- between that general spatial translation, that is here to be present, between the hyperbolic presence and the euclidean presence, of both the co-tangential approach and the hyperbolic tangential divergence, of mini-stringular segmentation -- as is here to work to be respectively delineated towards or away from those countless superstringular entities, that are here to be exhibited, along the homotopic propagation of the correlative vibrations of topological import, that are here to be present, via the effect of the general Fourier-related activity of the Rarita Structure; which thereby tends to work to transfer its propagational indices outward, in so as to work to propagate the general activity of the basic reductional forces of nature, that are here to be proximal local to the interdependent activity of those countless eigenstates, that are consequently to be eminent to the continued time-based activity of the Ward-Cauchy-related realm. To Be Continued! Sincerely, Samuel David Roach.

The "Work" Of Partitions

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

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

More About Grobner Bases

The following is a general explanation, as to what I mean by the term "Grobner Bases," in my discussions about cohomology.:

Let's initially consider the following mathematical concept; while I will subsequently work to apply such a concept, to an improved explanation as to the general idea that I am trying to portray.:

Let us initially consider an overall value of "2021."  One is to achieve such a value, via a combination in the quantity of the values of three different types of variables.  One of such variables is worth the value of "4," another of such variables is worth the value of "13," while the other of such variables is worth the value of "17." Now; work to determine what combination in the quantity of the values of these three different types of variables, -- is to achieve the overall value of "2021." Since (4*6 + 13*66 + 17*67) = 2021, this respective situation may consequently be described of, via a Grobner Basis, as being of (6, 66, 67). This just mentioned idea; works to help describe the general numerical concept, behind the idea -- as to what "Grobner Bases" are.
Next, an explanation as to an application of the just illustrated concept -- to the idea of cohomology;  Let us say, one is to have an orbifold eigenset, -- that is here to be of a particular overall net quantum of energy.  This inferred cohesive set of discrete energy quanta, is here to be traveling via the Lagrangian-based path of a De Rham cohomology -- via a projected trajectory, that is here to be in relation to its theoretical holomorphic tendency of directional wave-tug. The herein mentioned cohesive set of discrete energy quanta, is to be of a Calabi-Yau organization of stringular-related phenomenology, that is to work to bear both a specific angular momentum vector/tensor wave-tug (potentially tensor-based, if one is to arbitrarily consider an ulterior-related Nijenhuis angling of the correlative discrete quantum of energy, in this particular situation), and a set of spin-orbital tensor-related wave-tug activity -- that is here to be of an overall net gauged-action.  Given the overall general behavior and energy of the said cohesive set of discrete energy quanta, one is then to work to determine the idea, -- as to what the delineation of the cohomology of such an inferred orbifold eigenset is consequently then to be.  Such a determination of the delineation of the cohomology, based upon the respective considered ulterior Ward-Cauchy-related conditions of the said eigenset, as you can now see, -- is geometrically tantamount to what the idea behind the "Grobner Bases" is thence to be.  I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Saturday, August 1, 2020

"Sparks" And Tesla Energy

The Rayleigh scattering of electrodynamic-related "sparks," works to help in the formation of the radiative attribution of Tesla Energy. I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.