The Recycling Of The Residue From Annharmonically Scattered Cohomologies

In the process of the Fourier-related translation of Gaussian Transforms, -- the Rayleigh scattering of GSO cohomological eigenstates that are formed on the relative multiplicit Real Reimmanian Plane, works to form a general tense of Ward-Cauchy-related residue, that is replenished by that general tense of Ward-Cauchy-related residue, that is formed by the Rayleigh scattering of Neilson-Kollosh cohomological eigenstates, that are, instead, to be formed off of the relative multiplicit Real Reimmanian Plane.  This happens in such a manner, to where such residues act, in so as to work to form a tense of a system of substringular or Ward-Cauchy-related recycling, over time -- in so as to help-out in the process of that general multiplicit freeing-up of room in the substringular, that is needed in order for each eigenstate of Hamiltonian operation, to be able to both persist and exist, as eigenindices of discrete energy that act in so as to allow for both the persistence and the existence of energy at all.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Ghosts And Gravity Waves

The substringular residue that may be derived from the enharmonic scattering of Gliosis-Sherk-Olive ghosts, works to act in the recycling process of norm-state indices, in the balance of the substringular residue that may here be derived from the enharmonic scattering of Neilson-Kollosh ghosts, -- in such a manner, to where the activity of the Rarita Structure is to here to be directly involved with the process of such a recycling-based nature.  Gliosis-Sherk-Olive ghosts are formed by the physical memory of the motion of superstrings of discrete energy permittivity, over time.  Relatively as soon as such physical memories as to the where, the when, and the how that any correlative superstrings that had just acted via a directly corresponding Fourier Transform, that is to here have just recently ended in its respective duration in any one of such respective given arbitrary cases, -- such a so-eluded-to integration of eigenindices of such a directly corresponding Reimman scattering will then be enharmonic scattered into residue, that is to then to be transferred off of the relative Real Reimmanian Plane as norm-state indices.  Likewise, as I have mentioned in earlier posts, the correlative Neilson-Kollosh ghosts are formed by the physical memory of both gravitons and gravitinos -- to where these just mentioned particles of which are innately here, to be off of the Real Reimman Plane.  The soon to be enharmonically scattered Neilson-Kollosh ghosts are to then to be transferred, via the activity of the Rarita Structure, as norm-state-projections that are to then be spatially occupied onto the relative Real Reimmanian  Plane.  Those eigenindices of the Rarita Stucture, that are to here to assist with the transferrence of such ghosts,  are a multiplicit form of Schwinger-Indices, that are to here be an association of gravity waves.   Ghosts in this case are a way of considering the temporal nature of cohomological indices.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

The Different Genre Of Cohomologies

Any given arbitrary respective eigenstate of cohomology, that may be considered -- when this is taken over a respective Laplacian Transform -- will be of either a Rham-based nature, or, of a Doubolt-based nature.  Any Rham-based cohomology -- when this is taken over a Fourier Transform, over a long enough duration of time -- will eventually be altered into a Doubolt-based cohomology. 
I can think of 13 different types of genre of cohomology, these of which will each be of either a Rham-based nature or of of Doubolt-based nature -- when taken over a respective Laplace Transform.
These would be:
1)  Gliosis-Sherk-Olive cohomologies
2)  Fadeev-Popov-Trace-related cohomologies
3)  Neilson-Kollosh cohomologies
4)  Light-Cone-Gauge eigenstate-related cohomologies
5)  Cohomologies of Schwinger-Indices, via the Rarita Structure
6)  Cohomologies of Campbell-based norm-states
7)  Cohomologies of Hausendorf-based norm-states
8)  Cohomologies of Campbell-Hausendorf-based norm-states
9)  Cohomologies of Campbell-based norm-state-projections
10)  Cohomologies of Hausendorf-based norm-state- projections
11)  Cohomologies of Campbell-Hausendorf-based norm-state-projections
12)  The cohomological mappable-tracings of Klein Bottle eigenstates
&13)  Cohomological mappable-tracings of Higgs Boson eigenstates.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Different Formats of Certain Ghost Anomalies

Initially, as I have mentioned before, the ghost anomalies or the  cohomological-based indices, that are formed by the mappable tracings of two-dimensional superstrings of discrete energy permittivity, tend to bear a relatively torroidal tense of morphology -- while, the ghost anomalies or the  cohomological-based indices that are formed by the mappable tracing of one-dimensional superstrings of discrete energy permittivity tend to bear a relatively conical tense of morphology.  So, Gliossi-Sherk-Olive ghosts tend to bear either a torroidal or a conical shape -- via the mappable tracings of their respective trajectory, over time.  Yet, the shape of a Neilson-Kollosh ghost takes a little bit more of an explanation to tell here.  In general, the shape or the morphology of a Neilson-Kollosh cohomological-based mappable tracing (one eigenset of the directly inferred general genus of such indices) will either tend to be the shape of an annulus of either  a converging or a diverging hyperbolically-shaped toroid, or, the shape of a Neilson-Kollosh ghost may often, instead, be of the outer perimeter of the Ward-Neumman bounds of the respective shape of an annulus of either a converging or a diverging hyperbolically-shaped toroid.
I will continue with the suspense later!  Sincerely, Sam Roach.

About the Recycling Of Ghost Anomalies

As I have stated before in certain past blog posts, ghost anomalies are formed by the harmonic scattering of relatively forward-holomorphic norm-state projections -- via a certain format or genus of a Reimman scattering, while, ghost anomalies are vanquished by the annharmonic scattering of relatively reverse-holomorphic norm-state projections -- via a certain format or genus of a Rayleigh scattering.  When Gliossi-Sherk-Olive cohomological indices are annharmonically scattered, the initial residue of such a format of a Rayleigh scattering is subsequently brought out of the relative Real Reimmanian Plane -- into the relative Njenhuis Plane, in so as to work to form the basis of the point commutative template for the ensuing formation of Neilson-Kollosh ghosts.  Once the said residue of the annharmonically scattered Gliossi-Sherk-Olive ghosts is brought into the so-stated relatively Njenhuis Plane, the dilatons and dilatinos thus formed work to form gravitons and gravitinos, respectively.  The relatively forward-holomorphic norm-state projections that are then harmonically scattered by the said gravitons and gravitinos -- via the just eluded-to Reimman-based scattering, works to then form what may be termed of as Neilson-Kollosh ghosts.  Once that the so-stated Neilson-Kollosh ghosts are formed, there will eventually be the activity of certain relatively reverse-holomorphic norm-state projections in the said Njenhuis Plane, that work to annharmonically scatter the initial said Neilson-Kollosh ghosts via another genus of a Rayleigh scattering -- that causes the residue thus formed to be transferred into the prior mentioned initial relatively Real Reimmanian Plane.  The resultant initial existence of that residue of annihilated cohomological indices, that are here initiated from the Njenhuis Plane into the initially stated Real Reimmanian Plane, is of the nature of norm-state projections.  The holonomic substrate-based spatial entities that work to pull the residue of broken-down ghost anomalies into either the respective relative Njenhuis Plane or the respective Real Reimmanian Plane, are a genus of group attractor-based matrices.   The holonomic substrate-based spatial entities that work to pull the residue of broken-down ghost anomalies away from either the respective relative Real Reimmanian-based Plane or the respective relative Njenhuis Plane may be termed of as ghost inhibitor-based matrices.  I will continue with the suspense later!  Sam Roach.

Part Five of the Seventh Session of Course 16

In a way, Kaluza-Klein light-cone-gauge topology is more directly involved than Yang-Mills light-cone-gauge topology with the condition that every spurious gauge-metric is countered with a balancing spurious gauge-metric, in such a manner in so that every world-sheet index -- via the directly corresponding ghost-based indices that work to show the physical memory of those substringular phenomena that are projected via their multiplicit trajectories to form.  This is in so as to form the so-stated ghost-based indices -- is either directly and/or indirectly interconnected with every other so-eluded-to world-sheet index, per each successive iteration of group instanton in which the substringular re-delineates, in so as to form the sequential series of instantons that work to form the pattern-based format of energy that works to comprise all phenomena that are of a substringular nature.  So, for every world-sheet that scatters annharmonically per each successive iteration in which their directly corresponding ghost-based indices are elliminated, in so as to provide for adequate room for other substringular phenomena to both move and bear a tense of Gaussian-based stability, there are ghost-based indices that are reconnected in so as to form -- at some other various multiplicit spots in the substringular -- other sorts and tenses of cohomological bases, in so as to form a holonomic substrate for the formation of gravitational-based particles.   Gliossi-Sherk-Olive ghost-based indices are indirectly annharmonically scattered in so as to form a template for the formation of gravitons and gravitinos, as well as other geni of annharmonically scattered ghost-based indices acting as a holonomic substrate, for the formation of norm-based indices at various Real Reimmanian-Plane-based layers of substringular-based stratum.  (The Neilson-Kollosh-ghosts that are annharmonically scattered drift back into the Real Reimmanian Plane, where superstrings of discrete energy permittivity kinematically move in so as to form a template for the existence of incoming norm-state-projections -- that work to replenish the general multiplicity regions in which superstrings of discrete energy permittivity kinematically differentiate.)  So, Gliossi-Sherk-Olive ghost-based indices are annharmoncally scattered in such a manner that these are pulled off of their directly corresponding Real-based planes, in such a manner in so as to form dilatons and dilatinos that work to form gravitons and gravitinos that act as gravitational-based particles -- that act to inter-relate to superstrings of discrete energy permttivity via the multivarious Rarita Structure eigenstates, in so as to allow for the existence of gravity via the Ricci Scalar.  The motion of gravitons and gravitinos works to form Neilson-Kollosh ghost-based indices.  These just mentioned ghost anomalies are then harmoncally scattered by the relatively forward-norm-state-projections that kinematically differentiate off of the Real-based plane of superstrings of discrete energy permittivity, in so as to form what may be termed of as Neilson-Kollosh ghosts.  These Neilson-Kollosh ghosts are then annharmonically scattered by relatively reverse-holomorphic norm-state-projections that are of the multiplicit-based substringular plane eigenfields where gravitons and gravitinos kinematically differentiate, in so as to form a template of holonomic substrate that works to replenish the norm-state-projections that had just been depleted of by the syphoned-out norm-state projections that have left their Real-based plane, in so as to feed-in the complementary Hodge-Indices of norm-state projections that have just left the so-stated multiplicit plane where superstrings of discrete energy permittivity kinematically differentiate.  This happens in a balance that is kept pretty much even, in so long as the eluded to phenomena are kept unfrayed.  The longer the duration in which such a physically attempted balance of the exchange of norm-state-indices is involved with such a format of exchange, the more that there is a chance for the so-eluded to phenomena to possibly and eventually fray.  There are ways to keep such an inter-complementary balance from fraying -- no matter how long such an organization of phenomena has been existent.  I mentioned the conditionality of Kaluza-Klein topology, due to the condition that ageing stars are most likely to form the eluded-to black-holes.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

Part One of the Fourth Session of Course 16

The activity of the kinematic spatial differentiation of superstrings, in the process of their delineations and re-delineations is what works to form the world-sheets that exist in the substringular -- the sequential series of the re-delineations of superstrings, as these are projected over time through their respective Hamiltonian-based operands, is what works to form those physical memories of the so-stated superstrings, of which is what works to form ghost anomalies in so as to form the respective given arbitrary cohomologies.  Ghost anomalies are formed by the harmonic scattering of relatively forward-holomorphic-based norm-states, that are applied to the correlative differentiation cites by zero-norm-state projections that are forward-holomorphic in nature.  The format of norm-states that work to comprise the majority of the respective Hodge-Index of ghost anomalies, are the composite of Campbell-states, Hausendorf-states, and/or Campbell-Hausendorf-states.  Zero-Norm-States -- even though these are essential for the process of ghost anomalies to become static enough in composition to be superconformally invariant over time upon the activity of the harmonic scattering of any given arbitrary path operand that may be integrable -- in so as to allow for the delineation of the eluded to genus of any type of ghost anomaly-based pattern that may be Yakawa to any local cite in which such ghost anomalies may possibly be formed -- are that format or genus of projection that makes it possible for the other format-types of norm-states to be able to behave as these do when these said ulterior-type of norm-states and norm-state-projections are harmonically scattered upon by the sequential series of motion that superstrings imbue upon Fock Space as these so-stated superstrings are being delineated and re-delineated upon over time.  All world-sheets that are defined by the harmonic scattering of forward-holomorphic norm-states are directly existent, due to the existence of Fock Space.  Fock Space is that general bearing of region-based genus that is outside of both superstrings, their counterstrings, and Fadeev-Popov-Trace eigenstates.  All ghost anomalies, and thus, all cohomology, is the result of the condition of Fock Space as acting as the holonomic substrate that works to define the physical memories of both the existence and the activity of superstrings over time.  Such loci of Fock Space works to exist as the Hamiltonian-based operands of superstrings, as such superstrings are distributed and re-distributed throughout the Ultimon over those sequential series of the iterations of group instanton that work to act as the metrical path of discrete energy over time.  The result of the ensuing anharmonic scattering of Gliossi-Sherk-Oliove-based ghost anomalies over time by reverse-holomorphic norm-states -- which is imbued upon by the respective interaction of reverse-holomorphic zero-norm-states and reverse-holomorphic zero-norm-state-projections that work to settle the Ward-Caucy bounds of the perturbations that are caused in part by the ellimination of what were the respective ghost anomalies -- works to form the physical entities that act as gravitatonial-based particles that thence kinematically differentiate off of the Real Reimmanian Plane -- in so as to allow for the existence of gravity, while, the ellimination of what I will later describe of as Neilson-Kollosh ghosts works to form the basis of the replenishment of Real Reimmanian-based norm-states and norm-state projections.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

A Comparison Of Certain Ghosts

When Gliossi-Sherk-Olive ghosts are exchanged from one general relative Real-based plane to another general relative Real-based plane -- the initially mentioned plane, of which, is Njenhuis to the second one -- there are, in this given arbitrary example, Neilson-Kollosh ghosts that are inversely exchanged from what was initially their Real-based plane to another general relative Real-based plane -- this initially mentioned plane, of which, is Njenhuis to the second so-stated plane.  The Real-based plane in which a Gliossi-Sherk-Olive ghost anomaly is formed is Njenhuis to the relatively Real-based plane in which a Neilson-Kollosh ghost anomaly is formed.  So, as this eluded to exchange of ghost anomalies interacts, in so as to form an exchange -- in the form of scattered ghost indices from one basis of Real-based plane being exchanged with scattered ghost indices from another basis of Real-based plane -- this works to involve a format of ghost indices that bears a condition of one of each set of scattered indices having a topological contour that may be viable in trace as orphoganal and inverse in mappable curvature to the respective other eluded to format of ghost indices.  Such a complementary set of conditions is one that is here comprised of a complementary pairing of individual sets of scattered indices that operate physically in so as to bear such an orphoganal and inverse contour -- due to both the individual non-time oriented condition that may be compared via a Hodge-based extrapolation, as well as the time-wise kinematic covariant codifferentiation that may be compared via the geometrical affiliation that such residue of ghosts works to respectively bear over a sequential series of iterations of group instanton.  As such residue is re-inactivated as norm-based topological stratum, in what was initially a Njenhuis genus of planar domain, the interaction of the norm-based phenomena upon such a basis of holonomic substrate works to activate the residue as a basis for the formation of ghosts and/or ghost scattering for the here indistinguishably different planar activity.  As this is going on, there is a relatively small discrete topological substrate that is pulled into codifferentiation with the Royal Arc -- in an indistinguishably different manner -- in so that such activity may fascillitate the recycling of norm-states, through the redelineation of mini-string segments, in so that substringular fields may be able to recycle from norm to ground and back.  This condition that involves Cassimer Invariance works to indirectly cause the basis of all phenomenology being relative to the motion and existence of light to bear a condition as to being viable.

An Informative View As To the Interaction of Certain Ghosts

As the Ricci Scalar is operative per the successive series of iterations of group instanton, the Rarita Structure operates in so as to enable the capacity for the Ricci Scalar to take a viable effect.  Over time, the Rarita Structure ebbs from a condition of pulling into a condition of tugging -- in a manner that works to take into consideration the flow of kinematic directoral indices that operate in so as to work in the direction of a relatively relaxed codifferentiable state of covariant norm-conditions.  As the codeteminable drive of the multiplicit activity of Rarita Structure eigenstates is swayed in so as to work in the eluded to operational capacity of the most viable inter-relationship of norm-conditonal stability, the ghost anomaly-based indices that have just been anharmonically scattered in a given arbitrary situation in which a given set of Gliossi-Sherk-Olive ghosts are broken-down into dilatons and dilatinos by relatively reverse-holomorphic-based norm-states, the kinematic-based directoral sway of the Rarita Structure works to pull the said Gliossi-Sherk-Olive ghosts -- and the ghosts that comingle with these -- into the direction of least resistance, while, the Neilson-Kollosh ghosts that are formed by gravitational-based particles are pulled in the direction of least resistance.  The codeterminable activity of the swaying of the Rarita Structure eigenstates works to make the said direction of least resistance of the mentioned ghost anomalies to be in the Njenhuis directoral pull of the relative Real-based plane for both respective codifferentiable, codeterminable, covariant binary-based settings.  This Njenhuis pull works to form an exchange of Gliossi-Sherk-Olive ghosts with Nieilson-Kollosh ghosts over a successive series of instantons.  The eluded to ghost anomaly-based residue that is tugged in the eluded to Njenhuis genus of manner at all during the generally noticed durations of group instanton is a Real-based Residue.  While, the eluded to ghost anomaly-based residue that is tugged in the eluded to Njenhuis genus of manner during the generally unnoticed durations of group instanton is an Imaginary-based Residue.  This recycling works to form permutations in the topological norm-state conditions as to the physical memory of superstrings, of which works to gradually alter the ghost-based cohomological structure of the interbinding of certain substringular structures. When such a permutation-based setting causes a relatively hermitian format of cohomological change or perturbation, then, the directly related genus of recycling mode is discrete relative to the relatively Real-based plane.  Yet, when such a permutation-based setting causes a relatively Chern-Simmons format of cohomological change or permutation, then, the directly related genus of reycling mode is of a Njenhuis tense of singularity.  -- The Rham-based cohomology becomes a Doubolt-based cohomology (in the latter case).  I will continue with the suspense later!  Sinerely, Sam Roach.

A Little As To The M-Theory Idea

Superstrings tend to exist in orbifolds.  Orbifolds tend to exist in orbifold eigensets.
E(8)XE(8) superstrings are the fabric that binds orbifolds into orbifold eigensets.
The reason that superstrings appear to exist as membranes that act in unison is because of a number of reasons.
1)  As said before, superstrings tend to exis in orbifolds, and orbifolds are the membrane-source of all substringular phenomena that act as a group besides superstrings And phenomena that are smaller than superstrings.

                
2)  Orbifolds tend to exist in orbifold eigensets, and, such eigensets exist in as a membrane-like phenomena as well.
                                         
3)  Superstrings that exist in any tense of superconformal invariance exist -- while these are in superconformal invariance -- in a general vibrational locus, when taken individually, so as to form via their corresponding Gliossi-Sherk-Olive ghosts, a pattern that represenst a membrane-based appearance.  If it wasn't for the existence of ghost anomalies, their would be no substance where as to form the dilatons and dilatinos that are necessary for the ensuing formation of gravitons and gravitinos.  Gravitons and gravitinos are the gravitational-type of superstrings that -- via the Ricci Action via the Rarita Structure -- allow for the existence of gravity.

4)  Orbifolds and orbifold eigensets that exist in any form of conformal invariance form a multiplicit array of Gliossi-Sherk-Olive membrane-based ghost patterns that bear activities that excentuate the existence of that phenomena that interconnect the orbifolds, and E(8)XE(8) superstrings are that phenomena that interconnect the orbifolds into orbifold eigensets so that phenomena that are significantly larger than superstrings may act together as a group in the form of normally detectable subatomic phenomena.

5)  The activity of E(8)XE(8) superstrings indirectly cause the motion of E(6)XE(6) strings in such a fashion so that these later mentioned hadrons may pluck the second-ordered light-cone-gauge eigenstates like a harp so that vibration eigenstates known of as Schwinger Indices may propagate along the Rarita Structure so that there may be a relationship between gravitational particles and discrete units of energy.  Without the prior implied Ricci Action taken multiplicitly throught space and time, gravity would not have a chance to be kinematic upon superstrings that are discrete units of energy.

6)  The exchange between Gliossi-Sherk-Olive ghost eigenstates and other ghost eigenstates that are on the Real Reimmanian Plane eigenconiaxials where superstrings and their corresponding Fadeev-Popov ghosts With the Neilson-Kollosh ghosts that exist in the regions where the gravitational particles work via the Ricci Action eigenstates so as to allow for what would appear as a membranal interchange -- while certain ghost anomalies are perturbated into positive and negative norm-states -- that makes it appear that the basic "substance" that forms subatomic phenomena is to be membranal phenomena.  Yet, if it wasn't for the existence of superstrings, orbifolds would have no internal-based function, and, orbifold eigenstates would have no internal-based function.

The 15 Categories Of Ghost Anomalies

These are:
1) Gliossi-Sherk-Olive ghosts

2) Fadeev-Popov Ghosts

3) Neilson-Kollosh Ghosts

4) Rham Ghosts

5) Doubolt Ghosts

6) Ghosts of Light-Cone-Gauge Eigenstates

7) Ghosts of Schwinger Indices Via The Rarita Structure

8) Campbell-State ghosts

9) Hausendorf-State ghosts

10) Campbell-Hausendorf-State ghosts

11) Ghost of Campbell-State-Projections

12) Ghosts of Hausendorf-State-Projections

13) Ghosts of Campbell-Hausendorf-State Projections

14) Ghosts of Klein Bottle Eigenstates

15) Ghosts of Higgs Action Eigenstates

The 15 Categories Of Ghost Anomalies

These are:

1) Gliossi-Sherk-Olive ghosts

2) Fadeev-Popov Ghosts

3) Neilson-Kollosh Ghosts

4)