Metaphor Between Ultimon Flow And Biological Circulatory Systems

 One may metaphorically think of Ultimon Flow, as being likened to the circulatory system of a biological entity; And, furthermore, one may metaphorically think of each individually taken iteration of group-related instanton, as being likened to the heartbeat of a biological entity. Sincerely, Samuel David Roach.

Effect Of The Polyakov Action -- Superstrings/Counter Strings

 Over the course of any one distinct iteration of instanton, -- the scalar amplitude by which a specific given arbitrary superstring of discrete energy permittivity, is to be effected by the Polyakov Acton, is to tend to be the same, as the scalar amplitude by which its directly associated respective given arbitrary counter string of discrete energy permittivity, is to be effected by the Polyakov Action. SAMUEL ROACH. (1989).

A General Example That I Have Thought Up, As To Etale Cohomology

 In my particular model of string theory, there are three different kinematically exhibited sets of (parallel) universes, that are here to exist, from within the general confines of the physical space-time-continuum. The phenomenology that is here to exist, from within the general confines of each of these three sets of (parallel) universes, is to cycle amongst each other -- during what I call the generally unnoticed duration of Ultimon Flow -- while then going into their next iteration of distributional delineation, during the ensuing iteration of the generally noticed duration of Ultimon Flow. (Metaphorically, like a "circulatory system.") The phenomenology, that is here to exist, from within the general confines of each set of such universes -- is to be "entwined" amongst each other. All of the discrete energy permittivity, that is here to work to bear a proximal local delineation, At the general locus of a mass-bearing cohesive set of discrete energy quanta, -- is to exist in its distribution, During group-related instanton, -- At the External Shell of such a said set of discrete energy quanta. In the process, there is here to be at least some sort of an entangled "sheathing," of discrete energy quanta -- from various different distinct universes, that are not completely viable in covariant co-differentiation with one another, -- to where there will often tend to be different of such "sheaves," intermittently entangled amongst one another, in a cohomology-related manner. I perceive of such a "sheave-like cohomology," to often tend to act, as some form of an Etale cohomology. SAM. 

As To Smooth Topological Contour

 The smoother that the topological surface of the external “shell” of a cohesive set of discrete energy quanta is to be, as this is here to be taken at a Laplacian-related condition, over the course of an applicable given arbitrary iteration of group-related instanton, — the more likely that such a said cohesive set of discrete energy quanta, is to work to bear the nature, of acting as a diffeomorphic topological manifold. SAM.

Light-Cone-Gauge And Settlement Of Stringular Structure

The vibrational oscillations of any one given arbitrary overall first-order light-cone-gauge eigenstate, works to help in settling the Ward-Neumman-related structural conditions, that are of both such an eigenstate's directly corresponding superstring, and of its correlative counter string, -- over the course of an iteration of any one given Planck Instant.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

Superstrings Of Discrete Energy Permittivity That Are Of One Specific Orbifold Eigenset

Over the course of any one specific given arbitrary iteration of BRST, when after the Polyakov Action -- all of the superstrings of discrete energy permittivity, that work to comprise any one specific given arbitrary orbifold eigenset, -- are to both bear the same number of spatial dimensions, bear the same general shape, bear the same scalar amplitude of Lorentz-Four-Contraction, bear the same number of partition-based discrepancies, as well as each of such inferred strings of discrete energy permittivity, to here be in the process of working to bear both the same general delineation-related spacing of their respective partition-based discrepancies, and the same tendency as to the proximity of such said respective given arbitrary partition-based discrepancies.Samuel David Roach.

Superstrings Of Discrete Energy Permittivity And Partition-Based Discrepancies

Individually taken mass-bearing superstrings of discrete energy permittivity, tend to bear their partition-based discrepancies in such a manner, to where these are to be subtended by one more parameter of spatial dimensionality -- than the number of spatial dimensions that such said individually taken superstrings are here to exhibit, during the course of any one iteration of BRST.  Sincerely, Samuel David Roach.

Dimensional Compactification And Stringular Settling

The general activity of that particular genus of activity that is to happen, as a superstring and its correlative counter string of discrete energy permittivity, is to go into a transient Ward-Cauchy-state of dimensional compactification, as such a quantum of discrete energy and its counter part is about to go into its ensuing iteration of group-related instanton -- tends to work to help the said superstring and its counter part to then to be able to settle into the said ensuing iteration of group-related instanton.  Consequently -- the general activity of that particular genus of activity that is to happen, as a superstring and its correlative counter string of discrete energy permittivity, is to go into a transient Ward-Cauchy-state of dimensional decompactification, as such a quantum of discrete energy and its counter part is about to go into its ensuing iteration of the Regge Action -- tends to work to help the said superstring and its counter part to then able to become prepared to go into the so-eluded-to iteration of the generally unnoticed duration of Ultimon Flow.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

As To The Flow Of The Second-Order Eigenstates Here

During the Polyakov Action, the correlative second-order light-cone-gauge eigenstates are to undergo a general genus of a Clifford Expansion, that works here to bear mini-stringular segmentation that is to consequently be put into the process of being "fed-into" the core-field-density of the directly corresponding first-order light-cone-gauge eigenstate -- in so as to work to help at allowing for those homotopic interconnections, that are here to exist between the directly corresponding Fadeev-Popov-Trace eigenstate and its correlative superstring of discrete energy permittivity, over a correlative fractal of time.  For discrete energy quanta that are of a Kaluza-Klein light-cone-gauge topology -- this will tend to generally mean, that, besides that bending of the directly corresponding second-order light-cone-gauge eigenstates, that is due to the earlier mentioned general genus of such a Clifford Expansion, as well as taking into consideration the condition, that besides the "plucking" of second-order light-cone-gauge eigenstates by their correlative gauge-bosons, -- the second-order light-cone-gauge eigenstates that are directly related to such an abelian topology, will tend to bear a relatively intrinsic supplemental wave-tug, during such an iteration of BRST.  Furthermore -- for discrete energy quanta that are of a Yang-Mills light-cone-gauge topology -- this will tend to generally mean, that, besides that bending of the directly corresponding second-order light-cone-gauge eigenstates, that is due to the earlier mentioned general genus of such a Clifford Expansion, as well as taking into consideration the condition, that besides the "plucking" of second-order light-cone-gauge eigenstates by their correlative gauge-bosons, -- the second-order light-cone-gauge eigenstates that are directly related to such a non abelian topology, will tend to bear a relatively intrinsic sinusoidal wave-tug, during the course of any case of such an example of an iteration of BRST.
I will continue with  the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Interesting Stuff About The Beti Number

The Beti number is the Hodge-Index, as to either the net decrease or the net increase in the number of spatial dimensions, that a superstring is to respectively either compactify into or decompactify into -- over the course of the so-eluded-to translation of the said superstring -- as it is to be undergoing one of a multiplicit array of iterations of instanton.  A superstring is to tend to always bear a tense of a relatively momentary compacification of dimensionality, right before its correlative iteration of BRST -- while such a superstring is to tend to always bear a tense of a relatively momentary decompactification of dimensionality, during its correlative iteration of the Regge Action.  The Beti number is always a positive integer for the scalar amplitude of the decrease in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have decreased by when it is compactified.  The Beti number is always a negative integer for the scalar amplitude of the increase in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have increased by when it is decompactified.  This tends to be the case, when a superstring is altering in the number of spatial dimensions that is it here to exhibit -- as a Hamiltonian operator of Noether Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Stuff As To Dimensional Contraction And Orbifold Eigensets

When one superstring of discrete energy permittivity that is of one given arbitrary orbifold eigenset, is to either comapctify or to decompactify by a specific number of spatial dimensions, at a specific instance of time -- then all of the superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, will then tend to respectively compactly/decompactify by that same said specific number of spatial dimensions, at that said specific instance of time.  Therefore, if one specific superstring of discrete energy permittivity, that is of one given arbitrary orbifold eigenset, at right before an iteration of BRST, is to vibrate annharmonically by a specific number of spatial dimensions, in a holomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric -- then all of the superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset, will then tend to vibrate annharmonically by that same specific number of spatial dimensions, in a holomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric.  Furthermore -- if one specific superstring of discrete energy permittivity that is of one given arbitrary orbifold eigenset, during the Regge Action, is to vibrate annharmonically in a specific number of spatial dimensions, in an antiholomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric -- then all of the superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, will then tend to vibrate annharmonically by that same specific number of spatial dimensions, in an antiholomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Knotting And Instanton

If the absolute value of the respective Betti number, that is here to be displayed right before any one given arbitrary iteration of instanton -- as this may here be applicable to any one respective given arbitrary superstring of discrete energy permittivity -- is to here to not be equal to the correlative absolute value of the respective Betti number, that is here to be displayed during the directly corresponding duration of the Regge Action that is here to happen just after BRST (just after a vast majority of the duration of the so-eluded-to iteration of instanton), then, the said superstring of discrete energy permittivity will here work to bear indices of cohomology that are here to bear a higher scalar amplitude of knotting -- during the said directly corresponding duration of the Regge Action, --  than the amount of a scalar amplitude of knotting that such a said index-related tense of cohomology that is produced by a superstring of discrete energy permittivity, had then to have displayed from the cohomology that it had produced from right before the said directly correlative iteration of BRST.  This is directly associated with the condition, if this is here to be a case of a superstring that is directly in the process of Noether Flow -- that a superstring of discrete energy permittivity, that is to be in the process of working to alter in the scalar magnitude of the number of spatial dimensions that it is here to display, will compactify in dimensionality right before instanton, -- while such a said superstring will decompactify in dimensnionality during the directly corresponding duration of the Regge Action. (This is in consideration of the Ward-Cauchy-related condition, that the Regge Action happens right at the end of any one respective given arbitrary iteration of instanton).
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Part Of Session 12 Of Course 4

The wave-tug that I was describing earlier as a general scenario will make the sequences thus mentioned appear close in the globally distinguishable.  Here is the physical example that will show what I am writing about:  Let’s say that you have a rope.  It is on a pulley.  It goes through the holes of many pulleys.  It finally reaches a pulley that it connects with.  Both pulleys are connected to a rock (one each).  One guy at one end moves one rock.  If the ropes were fairly taught, the rock at the other end would react immediately as if the person were there although the rocks were a ways away.  Picture this with one pulley connected to another one at both ends of where the person was.  Picture this with minimal slack at one or both ends or none at all.  These pulleys would appear to have actions that are near, although this stough is pretty much far away.  Strings are energy that is rearranged after iterations.  Energy is the redistribution of space.  The redistribution of this space is action.  From our vantage point, redistributed space is action.  Our vantage point is what we observe or detect.  Physical things that are detected are stough.  Stough needs some sort of a pattern to exist.  Sequences are patterns.  Strings are individual members of sequences that show a memory of physical patterns that existed as an action that is also a result of action.  The stough that happens as these strings iterate and reiterate is the series iteration of that string.  This is in itself an action.  so, the nearness of action influences the nearness of stough.  Thus, how near actions seem influences how near strings seem.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Hamiltonian Operations Of Gravity

Often, superstrings of a Hamiltonian operation of gravity, may simultaneously (via the vantage-point of a central conipoint), act as both a graviton and a gravitino.  This is when a Ward-Cauchy-based particle of a Hamiltonian operation of gravity, is to bear both radial and transversal characteristics, over the course of the same distinct iterations of group-related instanton.  So, let's say that, over the course of one specific iteration of instanton, that a Ward-Cauchy-based gravitational particle is to be at both one positioning of a fractal of angular momentum and at one position of a fractal of spin-orbital momentum.  Next, at the ensuing iteration of instanton, the just mentioned particle is to be distributed in such a delineation -- to where its fractal tense of angular momentum had to have just altered by one Planck Length, while its fractal tense of spin-orbital momentum had to have just altered by one Planck Radii.  Let us next say that the just mentioned tendency, is then to re-occur for a significant number of iterations of group-related instanton.  A graviton is a superstring of a Hamiltonian operation of gravity, that works to involve the transversal motion of the so-eluded-to eigenstate -- whereas, a gravitino is a superstring of a Hamiltonian operation of gravity, that works to involve the radial motion of the so-eluded-to eigenstate.  One could then say, when such a just mentioned gravitational particle is to display both a transversal and a radial motion -- over the same general tendency of motion -- that it is to act as both a graviton and as a gravitino simultaneously (via the vantage-point of a central conipoint).  One could then say, that such a particle may be considered as a unitary dual-state of gravitational eigenstate, that is to exhibit the gauged activity of both a fractal tense of angular momentum and the gauged activity of a fractal tense of spin-orbital momentum -- over the course of the same evenly gauged Hamiltonian operation.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Ensuing Delineations of Superstrings And Gauge-Bosons

In any individual given arbitrary case, that is of one set of gauge-bosons and their directly corresponding discrete quantum of energy, -- both the flow of the ensuing delineations of the directly corresponding discrete energy quantum, as well as the flow of the individually taken scalar amplitude of the directly corresponding Polyakov Action eigenstates, as well as whether or not the directly corresponding superstring is to be orientable or not, -- are some characteristics that work to influence the condition, as to the manner of the Ward-Caucy-based angling of those gauge-boson eigenstates -- that are to here be directly pertinent to certain of both the Laplacian and the Fourier-based conditions, that will here work to influence both the manner and the genus of the ensuing Schwinger-Indices, that will then form by the topological stratum of the so-eluded-to discrete quantum of energy, over the course of the ensuing iteration of group-related instanton.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

Course 6, Session 1, Part 2, Superstrings As Toroidal Phenomena

Well hello again world, this is Samuel Roach again!  I hope that everything is o.k. with you!
The reason why certain point particles do not always form as strings within their home tori-sector-ranges is becauses some point particles are residue that is about to be integrated into the substringular phenomena.  When light brings in nodes as ripples OR releases rippled nodes within the Basis of Light within a moment, these extra nodes do not exist within strings, yet these nodes are about to be incorporated into superstrings or relaeased into the general point particle stratum of their "home" sector-ranges.  If the rippled nodes are released residue that flows into the stratum of the point particles of a tori-sector-range, then the point particles of the said sector-range will mold the nodes so that these will eventually form as strings (superstrings) -- yet not necessarily as superstrings of that sector.  If a node is rippled toward the strings of an instanton-quaternionic-field-impulse-range during a moment, then this node will help to form a superstring during a later iteration.  The more iterations of the Ultimon that happen, the more point particles that find a "home" in any given tori-sector-range.  Many point particles find a "home" in any given tori-sector-ranges over the Fourier Transformation of a sequential series of instantons.  Certain point particles may never find a home in more that one tori-sector-range.  Since all residue is used, all point particles eventually have a home tori-sector-range.  Home-Tori-Sector-Ranges help to perpetuate existence so that the layers of the reality of individual universes are not scattered to the point of disorientation.  Such orientation is partially due to the Bette Action that orientates superstrings with their counterparts via the Laplacian Poincaire condition known as the Grassman Constant, which happens during instanton.  The existence of the Bases of Light and the existence of the Space-Hole, as well as the Laplacian Ward Caucy codifferentiation between the Bases of Light and their corresponding supserstrings, as well as the "space-hole", and even as well as the condition that each Basis of Light has a different Laplacian topological surface-based trajectory along with the fact that the Basis of Light that equally involves forward and backward moving time flow is always the main kinematically based Basis of Light -- effects the condition that superstrings and point particles of a specific Hodge nature have a tendency of "wanting" to belong to their home-tori-sector-range.  I will continue with the suspense later!                                                               
To me, these posts utilize more imagination and cognitions than most of the other things that I am willing to talk about.  I sure hope that you have a marvalous day!  What a phenomena!  Sincerely, Sam.