Part One of the Ninth Session of Course 18 -- The Ricci Scalar and Kaeler Differentiation

Substringular phenomena of one of set of parallel universes -- such as superstrings, their corroberative counterstrings, and Planck Phenomena related phenomena of one given arbitrary set of parallel universes -- all travel over the course of four general cycles through the Main Heterotic Stringular Basis of phenomena in total, before finding their way back to their respective Bases of Light -- of their respective given layer of reality or tori-sector-range of their respective parallel universe.  (This is true for all of the superstrings of each of the three sets of parallel universes.) Each "time" that the phenomena of one set of parallel universes cycles through the generally unnoticed duration of Ultimon Flow, it takes one relative Njenhuis or Imaginary Planck Instant to go through this process, in total -- until the superstrings of each set of parallel universes go back to resuming being under the condition of being back into the state of group instanton.  Out of this, it takes one Planck Bar of relative Njenhuis or Imaginary time for the superstrings to collect, in so as to gather to cycle out of their respective world-tubes, another Planck-Bar Njenhuis time for these superstirngular bases of phenomena to cycle around the adjacent set of world-tubes, three more of such cycling, while then going from the Njenhuis activity that is directly associated with the Basis of Light (for About (2pi-6)/2pi of one Planck-Bar time), up until the instanton-quaternionic-field-impulse-mode happens for About 6/2pi of one Planck-Bar instants -- up until the activity of group instanton is to reoccur.  More specifically, (2pi-6)/2pi verses 6/(2pi) of Njenhuis Planck-Bar Time.
To be continued!  Sam.

Part Two of the Third Session of Course 17 About the Ricci Scalar

Planck-Like phenomena, or, in other words, Fadeev-Popov-Trace eigenstates, that are both of the same parallel universe, while yet being placed in an adjacent manner -- during any given arbitrary iteration of group instanton -- are normal to one another, with a wobble that may be subtended by a directly corresponding angle of 1.104735878*10^(-81)I degrees, when the so-stated subtension is made codeterminable in a relation of one of the so-stated Fadeev-Popov-Trace eigenstates relative to the other so-eluded-to Fadeev-Popov-Trace eigenstates.  What I mean by an Imaginary-based angling is a wobble that sways in one given arbitrary directoral-based tensoric sway, to the directly opposite given arbitrary directoral-based tensoric sway -- from a subtension that is pulled through a scalar angular Hamiltonian operand that is equivalent to the initially so-stated directoral topological-based sway, that is from a central conipoint of delineaetion, to a wave-pull that works to pull through a scalar angular Hamiltonian operand that is equivalent but opposite in holomorphism to the initially so-stated directoral topological-based sway, that is from a central conipoint of delineation. ( The second so-eluded-to portion of topological sway is here being an equal and opposite Hamiltonian-based operation that occurs in the opposite basic directoral genus of wave-tug/wave-pull.)  This is true, in one manner or another, for all adjacent Planck-Like phenomena, or, in other words, this is true, in one manner or another, for all adjacent Fadeev-Popov-Trace eigenstates, in the following general manner.  One initially considers that coniaxion of each of two different respective Fadeev-Popov-Trace eigenstates that would here work to elude to the directoral-based subtension -- as to the topological-based sway of each of the two implied covariant so-stated Fadeev-Popov-Trace eigenstates, that is operational over the course of any directly corresponding iteration of group instanton, in which these two adjacent so-stated Planck-Like phenomena, that are here of the same universe, are oscillating in so as to act as eigenstates of discrete energy impedance.  One then needs to consider the subtension of the central coniaxion that may be extrapolated -- in so as to work to determine the directly corresponding angle of correlative topological relation, at the so-eluded-to directoral inter-relationship that I have stated here.  The angle of subtension that may be here used to determine the correlative vibratorial oscillation, that would then here be both codeterminable and codifferentiable in-between these two so-stated Planck-Like phenomena would here be the so-stated angle of 1.104735878*10(-81)I degrees.  So, the tensoric-based motion of those vibratorial oscillations -- that would then be subtended between two different Planck-Like phenomena that are both adjacent, and, are of the same universe, would then bear a smooth-based curvature, that would work to complete the operational-index of the functionability of the Hamiltonian-based activity of that format of topological sway, that would here work to directly associate one adjacent Fadeev-Popov-Trace eigenstate of any given universe to the initially so-eludud-to Fadeev-Popov-Trace eigenstate.  Such a Fadeev-Popov-Trace eigenstate is one that may then here be extrapolated of as an operator of an initial basis of case scenario.  Such a subtended curvature of vibratorial oscillation tends to work in the direction of bearing a hermitian eigenbase of topological-based sway. I will continue with the suspense later!
To Be Continued!  Sincerely, Sam Roach.

Tenses of Gaussian Transformations

Often, there are adjacent orbifold eigensets from different universal settings that are each in a relative transit to undergo their respective Gaussian Transformations, in so as to readjust their norm-based conditions.  When this happens, often, the specific mechanism that works to activate the process of the directly corresponding Kaeler  Metric eigenstate is multiplicity utilized -- over consecutive iterations of Gaussian Transformation eigenmetrics --  on the behalf of different orbifold eigenset-based regions that each, individually, appertain to different universal settings that are spatially proximal in the substringular.  This often means, in this case anyhow, that, only one Gaussian Transformation eigenmetric will here be inactivated for the specific locus that would here appertain to each individual universal setting, that is of the just eluded to general substringular neighborhood.  This appertains to the so-stated orbifold eigensets that are of the same universe, when in terms of a relatively transient duration of time for spatial Hamiltonian operators that are each only of the same universe.  This happens as any one of the eluded to specific orbifold eigensets, that are to alter in their norm conditions via the so-stated Gaussian Transformation eigenmetrics,  is to readjust its norm-based spatial conditions.  This is to where the other mentioned orbifold eigensets, that are each of different respective universal settings -- of which are proximal to each other at the Poincaire level, which is true even though these different orbifold eigensets are not Yakawa to each other in a Gliossi manner that is viable, are sequentially being acted upon in a consecutive manner in so as to spontaneously make the necessary changes in norm conditions that are allowed to change -- due to the said activity of the said group metrics of the said Gaussian Transformation eigenstates.  The difference in universal setting is due to the manner-based geni of the directly related intrinsic vibration and angling of both the directly related Planck-like phenomena and the directly related superstrings of discrete energy permittivity.  I will continue with the suspense later!  Sam.

The Test Questions Of The Last Test Of Course 14 About Group Action

1)  How is the fractal of the electric field -- in the substringular -- associated with the differentiation of a superstrings?  What is amperage?

2)  How is the fractal of the magnetic field -- in the substringular -- associated with the differentiation of a superstring?  What is voltage?

3)  How do Planck phenomena flow as light?  Describe the wavelength of light in general.

4)  Describe the open-string relation of electrons.

5)  Describe the closed-string relation of protons and of neutrons.

6)  Describe Real Reimmanian-based cohomology.

7)  Describe Imaginary-based cohomology.

8)  Describe what happens when two-dimensional world-sheets meet three-dimensional world-sheets with even Ward-Neumman boundaries.

9)  Describe ghost anomalies that are relatively Njenhuis.

10)  Describe cohomology shifts.

11) Explain why both Njenhuis and Real Reimmanian-based cohomologies exist.

Isomorphisms Among Adjacent Orbifolds

If a given arbitrary orbifold is shaped in a manner that is neither Minkowski (flat) shaped nor parabollic shaped nor elliptical shaped, then an adjacent orbifold that is of the same universe is not necessarily trivially isomorphic to the initially eluded to orbifold that is shaped in a respectively unique manner.  Depending upon the shape that an orbifold has, an adjacent orbifold that is of the same universe as the initially eluded to orbifold may be shaped in one of many different manners of potential permutation -- depending upon the respective shape of the initially said given arbitrary orbifold.  The more permutations from an orbifold as being either flat, parabollic or elliptical in shape, the more of a chance that a given arbitrary adjacent orbifold that is of the same universe is not necessarily trivially isomormphic to the first given arbitrary said orbifold -- in terms of the corresponding differential geometry.  This is when one is comparing a relationship of the initially eluded to remapping of the topological contour of the first respective orbifold with the topological contour of the second respective orbifold. Again, two adjacent orbifolds that are of the same universe are comprised of Planck-like phenomena that bear an orphoganal differential arrangement -- when relative to one or more of the Planck-like phenomena of the other said orbifold that is here to be of the same universe.  Also, two orbifolds that are of the same universe bear Planck-like phenomena, to where each of the said phenomena bear an intrinsic vibration that is norm to one or more of the Planck-like phenomena that work to comprise the other orbifold that is here of the same universe  -- with a codeterminable wobble that is at a differential sway of ~1.104735878*10^(-81)I degrees.  This angle is equal to the span of arc that 96 spatial dimensions is capable of -- 96piI degrees-- divided by 273*10^(81)I degrees.  This angle is also equal to the span of arc that 32 spatial dimensions is capable of -- 32piI degrees -- divided by 91*^(81)I degrees.  As I have mentioned before, between superstrings that are adjacent -- there is a capability of up to 10^(81) formats of angling.  I will not say what the rest of the derivation as to the number of parallel universes that there are both in overall spatiality and also are just in our set of universes, since this is a touchy subject.  Sometimes, I would rather have people underestimate me than to overestimate me.  Yet, this is no fudging of anything at all.  I will continue with the suspense later!  Sincerely, Sam Roach.

Orbifolds that Alter in their Gaussian-Basis of Format

When two different orbifolds that are flat-based, or, Minkowski-based -- that are initially of two different universes -- come into a close proximity the one toward the other, their intrinsic vibrations tend to syncrounize -- to where these two different orbifolds that were initially of two different universes become two different orbifolds that are of the same universe.  This same concept may happen, yet, in a slightly different manner, when in terms of the genus of orbifolds that are, instead, Hilbert in nature instead.  With a Hilbert-based set of two different orbifolds that are initially of two different universes, the same concept applies as to how the norm-based conditions of adjacent Planck phenomena are to both angle and vibrate if these are of to be from the same universe, yet, in the case of the just mentioned Hilbert-based orbifolds (volume-based), the manner as to what is actually adjacent Planck phenomena is altered in terms of the directly related differential geometry. Yet, as in the first mentioned case, any individual  orbifold consists of superstrings that are of the same universe.  -- To where if two different orbifolds that are initially of two different universes are adjacent in a manner that works to syncrounize their intrinsic vibrations, this activity will, in the different manner of which I have here recently eluded to, work to cause both of these said orbifolds to then be of the same universe.  Two different orbifolds that are each from two different respective universes bear relatively different Gaussian-based formats -- since these two given arbitrary orbifolds are initially not Real Reimmanian the one towards the other.  Yet, once two initially different relatively Real-based orbifolds are to become of the same universe, then, these said given arbitrary orbifolds are no longer Njenhuis the one toward the other.  This causes these two said orbifolds to then share the same Gaussian-based format of spatiality, since these will then be of the same basis of Real Reimmanian spatiality to each other.  I will continue with the suspense later!  To Be Continued!  Sincererly, Sam Roach.

Part Two of the Sixth Session of Course 14

If a substringular encoder encodes for a superstring that is bound to a Planck-related phenomenon via a given arbitrary light-cone-gauge eigenstate, then, the given substringular encoder will have a direct effect upon both the given superstring, its corresponding Planck-related phenomenon, and its given arbitrary light-cone-gauge eigenstate.  If a set of superstrings directly influences another set of superstrings, then, their Planck-related phenomena and their directly corresponding light-cone-gauge eigenstates will also tend to directly influence each other -- more than Planck-phenomena and light-cone gauge eigenstates that correspond to superstrings that are not directly influenced by the initial set of superstrings that I had eluded to at the beginning of this sentence.  This means that those directly preceding phenomena that I had mentioned as being of a direct influence upon each other in the substringular, in this given arbitrary situation, have a relatively high connectivity among each other -- in terms of both the Hodge index of mini-string strands that work to form such inter-connectivity, as well as the manner of such a said multiplicit inter-connectivity.  The said connectivity among superstringular phenomena is called topology.  The fact that topology is always maintained for unfrayed substringular phenomena -- except for at the space-hole -- is called topological invariance.  The general substringular operation that multiplicitly works to allow for topological invariance involves Cassimer invariance.  Cassimer invariance operates due to the quadra functions of:
1) The condition that gravity works in an Ante-De-Sitter/De-Sitter manner -- in so that matter wins out over antimatter.  (This is because phenomena tends to be "apprehended" in order to be brought together as a homotopic multiplicit fabric.)
2)  Gaussian Transformations work to recycle the conditions of the everchanging multi-local activities of the change of norm-based conditions.
3)  Substringular states recycle indistinguishably from norm-to-ground-to-norm over time.
4)  The space-hole allows for that "quantum twitching" that allows for frayed substringular phenomena to be separated, to an extent, from unfrayed substringular phenomena.
The conditions of topological invariance is called homotopy.  Changes in homotopy due to the space-hole are called topological transformation.

Part One of the Sixth Session of Course 14

Superstrings network out into interconnectivity.  Besides at the space-hole, all superstrings, Planck-phenomena, virtual Planck-phenomena, visage Planck-phenomena, virtual visage Planck-phenomena, counterstrings, stringular encoders, stringular encoder counterparts, and the heterotic superstrings, all connect to each other in one fashion or another.  The more connectivity that a superstring has with another superstring, the more potential effect that the two given strings have upon one another.  Likewise, the more connectivity that a given set of superstrings has with another given set of superstrings, the more potential effect that the two given sets of superstrings have upon each other.  The more connectivity that a superstring's counterpart  has with another substringular counterpart, the more that both the directly corresponding superstring and its directly corresponding Planck-like phenomenon will have more of a potential effect upon each other during the eluded to metric in which such an inter-relation is occurring.  This eludes to the condition that if either a given arbitrary superstring, and/or its corresponding counterpart, and/or its corresponding Fadeev-Popov-Trace, bears a relatively strong connectivity with another given arbitrary superstring, and/or its corresponding counterpart, and/or its corresponding Fadeev-Popov-Trace, then, the stronger is the tendency of a relatively strong potential effect that the just mentioned phenomena will bear toward each other.
I will continue with the suspense soon!  Sincerely, Sam Roach.

Part Three of the Fourth Session of Course 14

There are no Planck-like phenomena, and, there are no light-cone-gauge eigenstates, in the substringular encoder section of the Overall Continuum.  Substringular encoders cycle the Ultimon via the drive of both the superstrings of discrete energy permittivity, the counterparts of discrete units of energy permittivity, the Planck phenomena, the visage Planck phenomena, the virtual Planck phenomena, and the virtual visage Planck phenomena that are in the World-Tubes -- and all of which recycle the differential geometries of their general norm-based conditions via both the domino-like effect due to the light-cone-gauge, and, the multiple strucutured physical entity that I name of as the Royal Arc.  Each dual World-Tube that exists to bind the forward-time-moving infristructure of one set of parallel universes works to involve one eigenstate of the Royal Arc.  All of the physical phenomena that work to drive the holonomic substrate eigenstates of the general classification of substringular encoders acts together as a unit over the course of BRST, and, the rest of each group-based instanton, to spring -- in an exponential connectivity that works to pull the substringular, as a whole, into the condition of the generally unnoticed duration of Ultimon Flow.  As superstrings kinematically differentiate, these become displaced with a certain degree of entropy over the directly associated given arbitrary duration of time.  As Planck-related phenomena and counterstrings kinematically differentiate, these become displaced, with a certain degree of entropy, over the directly associated given arbitrary duration of time.  The just mentioned general condition of displacement, that, here, involves a certain degree of entropy, causes the directly associated substringular phenomena to jut the shape and distribution of the pointal-based particles that work to comprise these, to an extent -- as well as a certain degree of jutting the shape and distribution of certain larger-scale phenomena.
I will continue with the suspense later! Sincerley, Samuel David Roach.

Part Four of the Third Session of Course 14

From where I had left off last time, the differential series' that I had been just discussing are commutated after the course (no pun intended) of many iterations of instanton.  The said differential series' of such inter-related superstrings involve superstrings of discrete energy permittivity that are indistinguishably different from one another.  Such a genus of differential series' also involves substringular units that tend to be more kinematic than those of a steady state, and/or, such a genus of differential series' may sometimes involve alterior substringular units that are indistinguishably different. Sometimes, via the activity of a given arbitrary tense of kinematic differentiation over time, the directly related angles that I have been discussing in the last four sessions -- that the so mentioned isomorphic superstrings bear over a relatively brief period of time -- go into a state of perturbation, or alteration, that act in conjunction with the angling of both the corresponding Planck-related phenomena and their directly correlative-based counterstrings.  Yet, when a tense of isomorphism is maintained -- on account of what may here be the formation of a tense of static equilibrium in the directly related substringular region -- the angling between the multiplicit orbifolds that are again of the same universe, when in terms of the covariant wobbling of their directly associated Fadeev-Popov-Trace eigenstates that are both adjacent and are of two different orbifolds that are of the same universe, will form an angling between these that is of an identical degree.  That is, 1.104735878*10^(-81)I degrees.  So, the format of the chirality of the relative tense of norm, or, orphoganal, that exists between the corresponding Fadeev-Popov-Trace eigenstates, will alter in genus per the ensuing exterialization of adjacency that would here be among substringular units of energy that are of the same universe, yet, the angle of the wobbling that is covariant between such Fadeev-Popov-Trace eigenstates that are of the same given arbitrary universe will always be 1.104735878*10^(-81)I degrees -- as long as the corresponding discrete units of energy remain of the same universe.  To Be Continued!  Sam Roach.

Part One of the Third Session of Course 14

Superstrings often differentiate into what may be extrapolated of as "lines" of strings.  Superstrings from the same universe that consist, in part, of just two Planck phenomena that are of the same universe away may be of the same relative positional angle, yet, at a different general locus.  Superstrings that are from the same universe that are in discrete units of two Planck phenomena of the same universe away may also be of the same positional angle, yet, again, at a general locus.  The Planck phenomena of the strings that I have just mentioned that are at the same relative positional angle, yet, are at a different general locus, will bear superstrings that are at the same relative positional angle, yet, at a different spot as well.  The substringular counterparts of these strings, here, will also be at the same relative positional angle, yet, at a different general locus as well.  The strings just mentioned, in such a given arbitrary situation, work to display trivial isomorphism -- at a distance, with a gap in-between the activity of the said substringular phenomena.  The Planck phenomena in such a situation also work to display a tense of trivial isomorphism -- at a distance, with a gap in-between the activity of the said substringular phenomena.  Also, the counterparts that directly are associated with the directly prior phenomena will display another genus, or tense, of trivial isomorphism -- at a distance, with a gap in-between the activity of the said substringular phenomena.  Generally, such substringular phenomena that I just mentioned will bear a non-trivial isomorphism, due to the relative non-kinematic Lagrangian that would here exist in-between the said corresponding phenomena.  This is in terms of the mapping of their covariant trivial or non-trivial isomorphisms, respectively. I have a bit more to say about this soon.  I will continue with the suspense later!  Sincerely, Sam Roach.

Solution To The Third Test Queston Of The Last Test Of Course 11

The angular momentum eigenstates of corelative Planck-like phenomena that are adjacent and are also of different universes bear a different wobble than a covariant, codeterminable, codifferential relativistic oscillation of ~1.104735878*10^(-81)I degrees are not necessarily in a physically Laplacian-based mapped-out condition that is norm when comparing their relative distributions that these bear relative to one another during BRST.  Yet, their mentioned relativistic wobble that these PLP bear relative to one another is orphoganal, or norm, with a wobble that has a scalar amplitude that is off from the said ~1.104735878*10^(-81)I degrees as is according to the angling that the various given arbitary PLP that are here from different universes are off of a completely norm-state condition -- off from being orphoganal to one another.  This is because the wobbling of angular momentum indices of PLP work to bear a wobble that works to forma covariant, codifferentiable, and codeterminable condition of normalcy when the directly related mini-string segments torque -- the said torque of which happens in such a manner that it is delineated from different PLP that interact in a manner that is due to the condition that all touch and coupling involves a 90 degree interaction.  Thie causes a Dirac of Clifford Expansion in the corelative wobble that therefore makes the corelative vibrations of wobble work to touch in an orphoganal manner that is here off from ~1.104735878*10^(-81)I degrees as is according to how off of normalcy that the correspondingly different PLP are off from normal -- as is according to how these are to be mapped out -- via an extrapolation of their Laplacian-based settings over a course of an iteration of group BRST during group instanton.  As one extrapolates Planck-like phenomena-related characteristics that are apart from adjacency, one is to make a Laplacian-based mapping that is based upon the mapping as to what would be the proper orientation of orphoganation -- as is according to the right-hand-rule for up to 32 dimensions at what would be here a 90 degree relativistic corelation.  This works to re-establish basic norm-related conditons for each succeeding layer of adjacency for up to  32piI degrees that then restarts at 0 degrees, once one goes out 64 layers out from the initial adjacent layer that we are considering in this given arbitrary case.  Depending on how off of norm the physical placement of teh corelative PLP aare physically mapped, relative to one another -- when given a Laplacian-based extrapolation, the said vibratorial oscillations of the directly related angular momentum eigenstates will be norm with a wobble that is variant from ~1.104735878*10^(-81)I degrees, just as the physical placement of their corelative PLP is off from 90 degrees.  The said levels of adjacency just mentioned here are not specifically bearing on the conditions of relative proximity.
I hope that you are checking your solutions!
Sincerely, Samuel David Roach.

Session Eight Of Course 11 About Orbifolds

Orbifolds ideally are basically round.  Orbifolds ideally have at least three up-close dimensional curved-shaped kernels surrounding them.  Yet, in the real world, orbifolds come in all sorts of shapes and sizes.  If Planck-related phenomena of a multi-dimensional configuration that, here, exist in a given arbitrary universe, are centralized in a rod-like shape, then, the orbifold of the fractal of the related magnetic effect of the directly corresponding Planck-related phenomena will be rod-like shaped.  If the Planck-related phenomena of the said multi-dimensional configuration that exists within a given arbitrary universe are centralized in a square-like shape, then, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will be square-like shaped.  If the Planck-related phenomena of a given arbitrary orbifold bears a multi-dimensional configuration within a given arbitrary universe that is centralized in a permutative shape, then, the said orbifold of the fractal of the magnetism of the said Planck-related phenomena will have a permutative shape.  If the Planck-related phenomena of a multi-dimensional configuration within a given arbitrary universe is centralized in a triangle-like shape, then, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will have a triangle-like shape.  If the Planck-related phenomena of a multi-dimensional configuration within a given arbitrary universe is centralized in a disc-like shape, then, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will be of a disc-like shape.  If the Planck-related phenomena of a multi-dimensional configuration within a given arbitrary universe is centralized is in a pyramid-like shape, then, the orbifold of the fractal of the magnetism of the Planck-related phenomena will be of a pyramid-like shape.  If the Planck-related phenomena of a multi-dimensional configuration within a given arbitrary universe is centralized in a plane-like shape, then, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will be of a plane-like shape.  If the Planck-related phenomena of a muti-dimensional configuration within a given universe is centralized in a rectangular-like shape, the, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will be of a rectangular-like shape.  If the Planck-related phenomena of a multi-dimensional configuration within a given arbitrary universe is centralized in a round-like shape, then, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will be of a round-like shape.  If the Planck-related phenomena of a multi-dimensional configuration within a given arbitrary universe is centralized in a given arbitrary shape, then, the orbifold of the fractal of the magnetism of the said Planck-related phenomena will be of the here mentioned given arbitrary shape.  I will continue with the suspense later!  Sam Roach.

A Little About Mobiaty Conditions

Here is an explaination of the mobius twists that exist from within either the Royal Arc, or, in one of the Overall world-tubes.  In an arbitrary given example here, a one-dimensional superstring iterates in a spot that exists within either the Royal Arc, or, in one of the Overall world-tubes.  A hyperbollically-shaped region that is local to the mentioned superstring is physically applied to the said superstring.  After many iterations, the one-dimensional string mentioned integrates cohomologically into a folded strip-like-shape via the contorsion of its disc-like two-dimensional field that it is Gliossi with.  This folded strip here bears a mobius shape.  So, when a hyperbollic spin is applied to the said one-dimensional superstring, and also, the associated Planck Phenomena are utilized to detect the said one-dimensional string, the mentioned superstring's field will appear as a mobius strip -- or, similar to a mobius twist -- that iterates as a toroidal-shaped "figure-eight" instead of as a vibrating strand.  The one-dimensional stringular field would more specificallly be detected as a mobius strip, while the said one-dimensional string that I am relating would appear as a mobius twist that is physically integrated in a Laplacian-like manner along the mentioned mobius strip.  In another arbitrary given case, a two-dimensional superstring iterates in a spot in the Royal Arc.  A two-dimensional hyperbollic spin is physically applied to the said two-dimensional superstring over a relatively brief Fourier Transformation.  After a sequential series of instantons, the said two-dimensional stringular field integrates physically in a Laplacian-like manner into a folded strip-like shape via the contorsion of its spherical three-dimensional field that the said string is in Gliossi contact with.  This folded strip, if detected, will "appear" as a mobius strip-like shape, yet, in a different manner than how a corresponding one-dimensional field would appear.  So, when the prior mentioned two-dimenisonal hyperbollic spin is physically applied to the associated two-dimensional string that I am here discussing, and also, the directly related Planck phenomena are used to detect the substringular phenomena of the here given scenario, the two-dimensional stringular field wil appear as another form of another type of mobius strip, or, as a mobius "chain" -- in a manner that I am about to describe.  When a one-dimensional hyperbollic spin instead of a two-dimensional hyperbollic spin is applied to the two-dimensional string here, the said superstring will appear as a contorted doughnut-like shape (a torus), and the two-dimensional stringular field would here appear as a contorted sphere with a pinprick annulus in its conicenter.  This would be potentially detected, after many instantons of the said directly related two-dimensional stringular field, from within the Royal Arc of the Ultimon.  The Gliossi-Sherk-Olive ghosts that are here detected via the condition of the mentioned applied forms of hyperbollic spin that here act directly upon the mentioned superstrings and their respective fields are what I was mentioning yesterday as "Mobius-Ghosts."

Session 18 Of Course 10

How do Planck Phenomena-Related-Phenomena propagate?  The strings are in iteration.  Imaginary exchange as described by an odd function happens as real residue is given off and recieved.  This means that the relative bottoms of superstring' will have here exhanged with the tops of stringular counterparts, (The corresponding superstrings and their counterparts are now decompactified by a factor of two as an arbitrary given example.), raising the substringular counterparts in such a manner that these said counterparts are here to move "down" closer to the actual superstrings.  The slack that thence happens causes the "bottom", or norm-to-reverse-holomorphic end, of the corresponding substringular counterparts to exchange with the norm-to-foward-holomorphic end of the associated superstrings.  (This involves a reciprocal Imaginary Exchange.)  This activity that I just described works to lift the superstrings while yet moving these said phenomena "down" closer to the corresponding Planck-Related-Phenomena.  The related said Planck-Related-Phenomena tends to stay relatively stationary as compared to their corresponding superstrings and their corresponding counterstrings, in the meanwhile.  The directly prior mentioned activity works to add wave-tug to the related light-cone-gauge eigenstates like a spring, causing the ensuing Ultimon Flow to be fascilitated.  The said spring-like activity here "flaps" the angular momentum related indices that are most directly associated with the local Phenomena that are eigen with the corresponding respective superstrings and counterstrings in an anharmonic/harmonic cycle that "flaps" just enough to allow for the fascilitation of Ultimon Flow in a manner that one could alagorically compare to the acitivity of a paint stirrer when it is released after it has been torqued without breaking.  Such a spring-like motion that is the result of a fractal of a non-resonant torquing works to twitch the phenomena of the directly corresponding locus.  The twists in the light-cone-gauge eigenstates here work to determine whether or not the related superstrings are to immediately afterward travel at any given arbitrary velocity or not.  A full twist in the fabric of the said directly affiliated light-cone-gauge eigenstates that are respectively to be considered here work to allow for potential basically "infinite" speed-like re-delineation, while any alterior twist quotient that is here-wise determinable that may exist in-between the general locus where the said respective superstrings intermingle with both their corresponding counterstrings as well as their corresponding Planck-Related-Phenomena would thence bear holonomic interaction in either a virtually Gliossi manner or in an actually Gliossi manner.  The said intermingling would exist in such a manner to where the said affiliated phenomena that here are either virtually cohomologically bound or cohomologically bound in the said locus of the individually-based fabric of the corresponding general entity that I am mentioning will tend to have at least a little bit of a significant effect upon the related second-ordered-light-cone-gauge eigenstates -- the integration of the any directly affiliated second-ordered-light-cone-gauge eigenstates are what form the holonomic entity of a respective first-ordered-light-cone-gauge eigenstate.  Two-dimensional superstrings may often influence one-dimensional superstrings in such a manner so that the respective light-cone-gauge eigenstates of both the said bosonic and the said fermionic superstrings -- when taken as individually pinpointed interactions -- work to help twist or torque each other's fabric to the proscribed extent that these are to exist in in the manner that involves the least resistance.  The metrical conditions and the related Ward-Caucy boundary conditions that would here be associated with the directly prior mentioned acitivity may be determinable over a sequential series of instantons via an extrapolataion of the related codifferentiation of the corresponding arbitrary given superstrings as well as an extrapolation of the dimensional limits of the said related superstrings in any arbitrary given case that would thence be involved.  Sincerly, Samuel David Roach.  

Part Two Of The Second Session Of Course Ten

As the superstrings iterate, the light-cone-gauge quanta that I described in the first part of this session a while ago act as reins that cause the Planck phenomena to dance into their ensuing iteration.  The spin, orbital, and transversal responses of the corresponding Planck phenomena send mini-stringular impulses that cause the Imaginary Exchange of the said related substrings.  The Imaginary Exchange of the substrings mentioned here push the light-cone-gauge quanta inward to spring the substringular into the process of Ultimon Flow-based action as the light-cone-gauge eigenstates that I am here reffering to spring outward.  This happens in such a manner so that the light-cone-gauge-related Fock Space gears the positive-norm-spaces to form ghost anomalies at the points where the said superstrings and their fields were.  As ghost anomalies have formed, the negative-norm-spaces are pulled orphoganally by the positive-norm-states so as to annhilate the ghosts that had recently formed.  This produces residue in the form of the dilatons and the dilatinos that quantize to form basic quantum of gravitational particles.  I will continue with the suspence by typing out the third session of this course soon.  You have a phenomenal day!  Sincerely, Samuel David Roach.    

Part Two Of The Aside Before The Second Session Of Course Ten

Thus, one is to consider the covariant Laplacian placement of the Bases of Light of one set of parallel universes relative to the others.  (There are 159,000 layers of reality that happen over the course of the existence of space and time PER set of parallel universes, and, there are three sets of parallel universes.  These three sets of parallel universes are all that exist in kinematically-based physical space-time-fabric.  As implied, each of the unique members of the prior described particular solution that I mentioned during the most recent earlier post, along with each of the three-dimensionally-based Laplacian placements of each Basis of Light that correspond to a tori-sector-range, along with each of the 1,000 combinative formats of topological sway, along with the constant that one may derive from the particular solution format that was mentioned that represents a parallel universe that is most similar to ours -- along with the six heterotic vibrational modes for the Basis of Light that corresponds to the six spatial dimensions of an electron --  provides a basis of extrapolation that works together to describe a specific Basis of Light that is mirrored in a fractal manner in terms of mini-traces of Planck-Related-Phenomena.  This helps to determine which "layer of reality" that you are dealing with, as well as to help determine which tori-sector-range is -- at an arbitrary locus of time -- appertaining to a tense of a parallel univers that one may wish to enter.     

Session 15 Of Course Nine

The light-cone-gauge multiplicitly exists between Planck phenomena and superstrings.  The light-cone-gauge corresponding to one-dimensional superstrings consists of five mini-string segments that are in-between an arbitrarily corelative Planck-like phenomena ansd its corresponding one-dimensional fermionic string.  With a bosonic string, there are ten mini-string segments in-between the corelative Planck phenomena and its two-dimensional bosonic superstring.  When a one-dimensional superstring closes via the Fujikawa Coupling as may be mathematically described when using the Greene function, the five doubled up milni-string segments unravel and reconnect to form ten mini-string segments that connect homogeneously along the newly formed two-dimensional bosonic string.  So, when a two-dimensional bosonic superstring undergoes such a Yakawa Coupling via the Greene function to open to form a one-dimensional fermionic string, the ten mini-string segments mentionesd double-up to form five mini-string segments after the ten mini-string segments that were previously mentioned are released and ravled to reconnect in a homogeneous manner.  These switches in mini-string happen during iteration or instanton with the help of gauge bosons.  Gauge bosons are an example of two-dimensional superstrings that are larger than superstrings.  Gauge Bosons spin and roll to allign the light-cone-gauge during the activity that occurs during BRST.  BRST is when the Imaginary exchange of Real residue happens among superstrings that are discrete energy permittivity and their counterparts.  (The counterparts of such mentioned superstrings act as a substrate for the said strings.)  The gauge bosons act as "light-switches" that activate the other heterotic strings.  I will discuss what I mean by that in future courses.  As the gauge bosons counterspin and counter-roll, the corresponding activity levers thru space in a hyperbollic manner so that the other heterotic superstrings are able to spontaneously open when necessary so that their counterstrings may retie as one-dimensional superstrings during certain circumstances, and also so that other phenomena that is directly attached to the corelative substringular encoders may undergo the proper retying during the metric in-between instantons when such retying is prominent.     

Course Nine, Session 14

Light-Cone-Gauge eigenstates always have quanta that twist to one extent or another.  Since there are a limited number of transversal, orbital, and/or radial components to the light-cone-gauge eigenstates of superstrings, the distance that strings move transversally, orbitally, and/or radially per instanton is controlled by the quanta-based-twists of the given superstrings' associated first-ordered-light-cone-gauge eigenstates which is controlled by both the region that the strings cycle thru,as well as the point commutative forces that act upon the strings and their associated second-ordered-light-cone-gauge eigenstates.  This is also to be considered along with what tori-sector-region is activated.  The more norm-states that act upon the mentioned superstrings, along with their associated light-cone-gauge eigenstates -- with limited spuriousnes inactivated -- (Since the operand of the world-sheet propagation is harmonic due to the cohesive normalizations of the corresponding Planck phenomena.) -- the faster the related strings and Planck phenomena will travel.  Not only that, but also, the corresponding substringular travel will not form excessive dilatons.  Light has an operand of world-sheet propagation that is harmonic on account of the smooth relationship of differentiating electric and magnetic fields.  Travelilng smoothly at over the speed of light has harmonic operands of world-sheet propagation.  This is because the radial, orbital, and transversal differentials are smoothly covariant.  This happens when phenomena that moves in a smooth or hermitian kinematic Fourier differentiation over the speed of light has harmonic operands of world-sheet travel.  Fast speeds just under the speed of light tend to cause relatively high, non-abrasive topological twists of light-cone-gauge quanta.  This tends to happen with a more anharmonic operand of world-sheet propagation when this speed is occuring via a tree-amplitude-based directoralization does not smoothly differentiate in a kinematic manner, over time, with a radial component.  Thus, light-cone-gauge quantization is constantly covariant throughout the Continuum during any discrete Fourier Transform.  Session 15 is expected to be revealed tomorrow!    

Course 9, First Course of Fock Space and the Light-Cone-Gauge, Session 12

How do Planck Phenomena propagate?:   Strings are in iteration in the following arbitrary case scenario.  Imaginary exchange as described by an odd function happens as real residue is given off here and received.  This means that the relative bottoms of the here mentioned superstrings are exchanged with the corresponding relative tops of the respective substringular counterparts.  (The superstrings & their counterparts are now decompactified by a factor of one to 3*10^8.)  This prior activity rasises the stringualr counterparts and moves these "down" closer to the prior mentioned superstrings.  The slack here causes the discussed bottom of the substringular counterparts to exchange with the said tops of the corresponding superstrings (reciprocal imaginary exchange).  The prior activity lifts the superstrings (not to be confused with their counterparts) and moves these down closer to their corresponding Planck Phenomena.  The Planck Phenomena stays relatively stationary in the meanwhile -- when not including the wobble of the said Planck Phenomena.  This motion that I have just described contracts the light-cone-gauge like a spring, causing the ensuing Ultimon Flow.  This springing flaps the angular momentum of indices of the said Planck Phenomena in an anharmonic/harmonic cycle that flaps just enough to allow Ultimon Flow, like a paint stirrer twitches then flapped.  The twists in the light-cone-gauge eigenstates that are related to what I just mentioned bears gauge-metrics that help determine whether or not the superstring travel at any given velocity and/or tensorically based speed or not. (The "tensorically based speed" would be a velocity that is based on the directoralization of a tree amplitude.)  A full twist in the fabric of the light-cone-gauge allows for a relatively "infinite" speed, such as the amplitude of phenomena displacement that happens during Ultimon Fllow,  while any twist quotient in-between allows for any speed of the superstrings in-between, since tachyonic motion may redistribute phenomena to basically any other location in just one sequential series of instantons.  Such a displacement that is derived in-between the Real Reimmanian duration that exists from one instanton to the next one may redistribute phenomena as such on account that Ultimon Flow is the Imaginary based flow that cycles the Ultimon in-between two consecutive Real Based instantons.  These mentioned twists are never entangled when unfrayed, yet, the twists are in the individual fabric of the five-quantum-based and ten-quantum-based first-ordered light-cone-gauge eigenstates that are associated with one-dimensional and two-dimensional superstrings respectively.  Two-Dimensional superstrings may influence one-dimensional strings to have their light-cone-gauge first-order-based quanta to twist to an arbitrary proscribed extent and vice                                                        versa.                                                                                                                                                      
I will continue with the suspence later.  Expect a lot of posts soon now that I have my time freed up and my computer is working better now!  God Bless.  Samuel David Roach.