Cohomologies, Ghosts, And Distortions, Part One

Remember back at the condition that I have mentioned in the past -- that the projection of the trajectory of a substringular phenomenology is a world-sheet.  The mappable-tracing of a world-sheet is a cohomology.  That manner of considering a cohomology -- to where this may be viewed of as a relatively transient phenomenology, that is generally not to be apprehended -- is a ghost anomaly.  Cohomologies are initially harmonically scattered into place, via a correlative Reimmanian scattering, into a set of norm-state-projections -- that work in so as to help at indicating the physical memory of both the where, the how, and the when, that any particular given arbitrary respective substringular phenomenon had physically differentiated -- over any correlative proscribed sequential series of instantons.  The initiation of such a general genus of Reimmanian-based scattering, works to form a harmonic perturbation of those norm-state-projections, that had just been in the Lagrangian-based path of that Ward-Cauchy-related phenomenology, that is here to be forming an integrable set of cohomological eigenindices, as a set of Hamiltonian operand-related eigenstates, -- in so as to work to form a Wess-Zumino distortion of those point commutators that had eminently been in the path of the said substringular phenomenology, that had just formed the said cohomology.  Such a general genus of a Wess-Zumino distortion, is here to be formed by a set of relatively forward-holomorphic tending norm-state-projections -- that are here to have come into contact with that Ward-Cauchy-based phenomenology, that is here to form the so-eluded-to set of the so-stated physical memories.   I will get to the topic, as to the conditions that are related to those Cevita distortions of point particle-related motion -- soon.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Reason For Adjacent Phenomena Orphoganal, Part One

Let us initially reflect upon a point that I had made in the past -- while then, working to develop the ideas that I am about to present, into what will amount to a hightened potential understanding of the modus operandus of the substringular realm.  Here it goes.  Any two discrete quanta of energy that are to here be immediately adjacent to each other -- as being two discrete physical phenomenology of topological substrate -- must be geometrically arranged into both a covariant, a codeterminable, and in a codifferentiable manner, by which, at a theoretical Laplacian-based "snapshot," that could be taken over the course of the exact moment that exists right before the proximal localized Polyakov Action eigenstate, that is at the Poincare level to the general locus of two given superstrings in the substringular level, that are right next to each other, to where the holonomic substrate of the one discrete increment of physical energy is to bear a Real Reimmanian tense of orphoganation to the holonomic substrate of the other discrete increment of physical energy, that is of a Real Reimmanian tense -- in as long as both of the so-eluded-to discrete quanta of energy are of the same universal setting.  The reason as to why this tends to be the case, -- is because, since a superstring of discrete energy permittivity tends to exist as either a two-dimensional  or as a one-dimensional fabric-formed holonomic substrate, that is pushed through what will here tend to be anywhere in the "arena" of being a Hamiltonian operand that is to exist as being a substrate of being from between four to twelve spatial dimensions -- per each discrete increment of group-related instanton -- to where this tendency, as to what has to take place, in order for there to be any viable interaction between the so-eluded-to eigenstates of topological-based holonomic substrate, that is to bear enough of an abelian geometry, in order for the dual Hamiltonian-based action to be eigen to both superstrings in a Gaussian manner that is Yukawa in a Real Reimmanian manner over a sequential series of instantons, -- then, there will here tend to be the need for a coniaxion-based cross-section of the topological core-field-density of the one discrete quantum of energy upon the other discrete quantum of energy, over a relatively transient but discrete group-metric, -- that will here be of an integrated Fourier Transformation, that will tend to be piece-wise continuous, over a discrete duration of time.  I will continue with the suspense later! To Be Continued!  Samuel David Roach.

The Eleventh Test Solution To The Last Test Of Course 19

11)  The Klein Bottle goes through the process of the Kahler-Metric, subsequent to a prominent proximal localized state of affairs -- that may be called an antiholomorphic Kahler Condition.  Once there is any respective given arbitrary relatively local antiholomorphic Kahler Condition, that is to happen here from within a given specific region in the substringular -- the local correlative Wick Action eigenstate is to then work to initiate that motion of a correlative Landau-Gisner Action eigenstate, in so as to work to form the leverage of the Fischler-Suskind-Mechanism, -- in so as to move the local holonomic substrate of the Klein Bottle eigenstate , via the correlative Higgs Action eigenstate, into such a Yukawa-based field of those relatively local discrete quanta of energy, that are in need of undergoing what may be termed of here as the Kahler-Metric.  The said holonomic substrate of the Klein Bottle eigenstate, is to then be brought initially into the relative norm-to-forward-holomorphic direction -- until it is to reach the earlier mentioned relative Real Reimmanian Plane -- by which it may be brought into the ensuing Gliosis-based contact with discrete energy quanta, that are in need of re-attaining their necessary fractals of discrete energy quanta.  (This is, as well, in so as to help to cause those needed Gaussian Transformations to happen -- in so as to help at working to free-up space, so that the here relative given arbitrary respective local substringular region may be able to ensue those multiplicit Ward-Caucy-based conditions -- that are needed, in order for that unique region to not be clogged-up, at any viable locus in proximal space.)   Once that the just eluded-to activity of the said Kahler-Metric is to happen, in such a manner in so as to inter-relate with discrete energy -- so that the so-eluded-to discrete quanta of energy are to re-attain their fractals of such discrete energy -- the so-stated Klein Bottle eigenstate is to then be brought into what is here to be the relative reverse-norm-to-holomorphic direction, in such a manner in so as to work to produce a Fourier-based tense of a Ward-Caucy-based symmetry.  Since all of the superstrings that work to belong to any one orbifold eigenset, will tend to be of the same universal setting -- during the actual Kahler-Metric itself -- all of the superstrings that are to interact with the said holonomic substrate of one respective Klein Bottle eigenstate, will tend to be of the same universal setting.  Yet, immediately after the so-eluded-to Kahler-Metric -- the corelatve Klein Bottle eigenstate is to adjust by a pulsation, that is to work to involve three consecutive iterations of group-related instanton -- after which, the correlative Klein Bottle eigenstate is to work upon another substringular tense that is to undergo the Kahler-Metric.  Depending upon the summed differential geometric activity of the so-stated re-adjustment -- the ensuing activity of such a so-stated holonomic substrate of the initially stated Klein Bottle eigenstate, may or may not then act upon either a different universal setting that is to then need to undergo the Kahler-Metric, or, it may or may not then act upon a different region of the same universal setting that is to then need to undergo the Kahler-Metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some More As To Substringular Fields

If a one-dimensional superstring of discrete energy permittivity is to move in a directoral-based manner that goes in the direction of its length -- either in the relative norm-to-holomorphic direction, or, in the relative norm-to-reverse-holomorphic direction -- then, the directly corresponding core-field-density of the correlative two-dimensional field that is thus formed, as may be extrapolated via the mappable tracing of the correlative ghost-based indices, will work to form a field that will bear a relatively conical-based topological swipe, over time.  This is true, whether the said one-dimensional superstring does or does not work to bear a definitive Real Reimmanian vibrational-based topological sway, in a radial manner, during the metric in which such a so-stated superstring of discrete energy permittivity is in the process of kinematically being displaced and re-delineated over the so-eluded-to Lagrangian -- in which the so-eluded-to phenomenology is being translated from one general spot to the next, in the so-stated either relative norm-to-holomorphic or relative reverse-norm-to-holomorphic directoral pattern, that I have here mentioned.  If the so-mentioned conical-based field, that is here a two-dimensional core-field-density that is formed by the said one-dimensional superstrings, bears no Njenhuis tensors in its Lagrangian-based topological sway, then, the so-stated conical field will be of a Minkowski nature -- that will here bear relatively few aberrations of cyclic permutations.  Yet, if the so-mentioned conical-based field is instead of such a nature that it bears one or more Njenhuis tensors in its Lagrangian-based topological sway, then, the so-stated conical field will be of more of a Hilbert nature.  A Minkowski field is of a flat space, and, a Hilbert field is of a volumed space.  So, if the just-eluded-to core field density of a Minkowski-based field, that is generated by the motion of a one-dimensional superstring over time, happens in a unitary Lagrangian that bears no Njenhuis tensors, then, the resultant cohomological-based ghost anomaly-related format of the correlative mappable tracing will be of a Rham nature -- if the vibrational aspects of the directly corresponding kinematic motion that is here eluded-to are harmonic in oscillation.  Yet, instead, if the so-eluded-to one-dimensional superstring either bears Lagrangian-based Njenhuis tensors, and/or if the so-eluded-to one-dimensional superstring bears metrical spikes in its vibrational oscillation -- over a given arbitrary metric in which it is moving over a successive series of instantons, then, the directly corresponding resultant cohomology will instead be of a Doubolt nature.  I will continue with the suspense later!
To Be Continued!  Sincerely, Sam Roach.