Part Four of the Fourth Session of Course 16

The specific regions in which a Calabi interaction happens is known of as a Calabi Manifold. The set of activities or metrics that happen from within the Ward-Caucy bounds of where a Calabi Manifold is occurring -- when such a given arbitrary region is undergoing the eluded to Calabi interaction -- is known of as a Calabi-Metric.  The activity, or, in other words, the metrical activity, of the Klein Bottle -- as the just mentioned Klein Bottle (which is made in the structural format of a Schotky Construction) is facilitating the operation of a given arbitrary Gaussian Transformation eigenstate -- is the metrical duration that is known of as the Kaeler Metric.  When a Kaeler Metric involves a specific genus of a Gaussian Transformation that is known of as a gauge-transformation, the said genus of Kaeler Metric that is then here in the process of occurring is known of as the eluded to Calabi Metric.  A gauge-tranformation is that genus of a Gaussian Transformation of which directly involves those changes in norm-based conditions that have to do with the scattering of electromagnetic energy. Whenever electromagnetic energy scatters to any degree, such a scattering forms discrete units of what is known of as entropy, or, in other words, such an activity has to do with the formation of discrete units of that genus of physical disorder of which works to allow for certain things -- such as the ability of physical states to change from one format of physical state to another, to occur. (For instance, things are only able to melt if there is, at least to some degree, some amount or level of local  entropy existent.)  As I will later mention and describe in course 20, gauge-tranformations differ in their format of Gaussian transformation due to a torsioning in the Klein Bottle that I will get to describing more when I write-out that specific course material.  World-Sheets that directly appertain to ghost anomalies that work to map-out a Calabi Manifold are known of as a Calabi cohomology. The more homogeneous, or, in other words, the more smoothly distributed, a Calabi cohomology is, the better chance that there is for a less perturbative anharmonic scattering of relatively forward-holomorphic norm-states -- by relatively reverse-holomorphic norm-states, in the process of the breaking-down of ghost anomalies.  So, a Noether-based flow of superstrings works to bear more of a chance of a homogeneous distribution of ghost anomaly-based indices than a tachyonic-based flow of superstrings.  Again, this appertains to the condiiton that a relatively abelian pull upon those norm-state indices that work to be harmonically delineated, in so as to form ghost anomalies, will tend to bear more of a hermitian-based anharmonic scattering -- when the eluded to ghost anomaly-based indices are broken-down by relatively reverse-holomorphic norm-state projections.  Part of this tendency is due to the condition that substringular activity tends to bear a Noether-based flow.  The varied degrees of Noether-based flow, that involves virtually all motion, are due to the varied degrees of increase and/or decrease in the activity and the capacity of the conformal invariance that phenomena exhibit.  Tachyonic motion happens a lot, yet, it is relatively rare -- compared to the tendency of Noether Flow.  The condition of a relatively small amount of scattering of the ghost anomalies of the substringular encoders per time works to help allow for the tendency of an adequate amount of the spontaneous  "Gaussian ellimination" of excessive ghost anomalies -- to the amount that is necessary.  Yet, a certain amount of the scattering of the ghost anomalies of the substringular encoders is necessary in order for the various superstrings of discrete energy permittivity to be able to sufficiently branch-out along the Ultimon.  I will continue with the suspense later, by starting the fifth session of this course!  Sincerely, Samuel David Roach.