Solutions For Test#1 of Course 2

1)There is no ideal line. A one-dimensional superstring best describes a vibrating line.

Point particles form this vibrating line by interconnecting via mini-string in-between the associated point particles. These point particles form where these do because the globally norm conditions that surround these point particles cause the correlative need for supplementally globally ground conditions.



2)Every one-dimensional superstring that is not an encoder has one partition, or, aberration from vibrating linearity. Every two-dimensional superstring that is not an encoder has two partitions, or, aberrations from vibrating radiation in a hoop-like configuration. These partitions are necessary for the flexibility of the said superstrings so that these may vibrate along the homotopy of their topology.



3)A substring is a superstring is one set Laplacian iteration that is fully Lorentz-Four-Contracted. A globally distinguishable superstring is a superstring that is detectable at the Planck Length or the Planck Radius, is no existent over the mere Laplacian of one iteration, and has minimized Lorentz-Four-Contractions.



4)Superstrings fit in along the ultimon by being geometrically based on globally ground conditions.



For test solutions of 5) and 6), see handwritten solutions.



7)Real residue in terms of superstrings is residue that happens during iteration metrics that involves the phenomenal discharge of these superstrings and norm states. Such phenomenal discharge is the mini-string that is being pulled out of and into the said superstrings and the said norm states.



8)Imaginary residue in terms of superstrings is residue that happens during ultimon flow that involves the phenomenal discharge of superstrings and norm states.



9)Cassimer Invariance is the unchanging condition of the recycling of norm conditions among superstrings. It is not eternally invariant among tori-sector ranges that form black-holes. Yet, it may be eternally invariant in some tori-sector-ranges.



10)Imaginary residue is delineated upon superstringular phenomena in such a way that it effects the said phenomena over subsequent iterations.



11)Globally norm conditions effect the delineation of Imaginary residue, while globally ground conditions effect the delineation of Real residue.



9)Cassimer Invariance is

Session 6 of Course 2, Test #1

1)Is these an ideal physical line? What phenomena best describes a vibrating line? How do point particles form this "ideal" vibrating line? Why do these points form where these do?





2)Describe the aberations in a string tht cause it to not be perfectly straight.





3)What is the difference between a substring and a globally distinguishable string?





4)How do string fit in along the ultimon as a general condition?





5)Draw a sketch of a rough pattern of long and short lines that converge. It must contain at least 10 lines.





6)Draw a sketch of a rough "pattern" of long and short lines that diverge. It must contain at least 10 lines.





7)What is Real residue in terms of a superstring?





8)What is Imaginary residue in terms of a superstring?





9)What is Cassimer Invariance? Is it eternally invariant?





10)What happens to Imaginary residue?





11)How do the norm conditions of point particles effect the type of residue that these obtain?

Page 3 of Sessions 2,3,4, and 5(Residue Applied to 2-D strings

Now that we learned what is meant by Real residue, I will apply this concept to metaphorical vibrating circles, which represent two-dimensional strings. Take two circles. One has a small radius while the other has a large radius. The two circles are initially parallel to each other and are not touching. The two circles are actually thin hoops. The two circles propagate. These are not merely duplicated. In one of such an array, the pattern of small circle placewise differentiation and large circle placewise differentiation converges to a discrete symmetry. In another array as above, the pattern of small circle placewise differentiation to large circle placewise differentiation never converges to a discrete symmetry. You might say, "Well, if it's a pattern, then it is discrete." Not necessarily. If the pattern is anharmonic or if it is long enough, it may form sub-symmetries that diverge as the "pattern" ends its phenomenal discharge. By "ends its phenomenal discharge", I mean that the circles would stop moving around, and the pattern of all of the places that the circles were at would have a limitation. Such an erratic pattern has zero Weyl-Invariance, since invariance means that it doesn't change, and something that is erratic changes the eigenbasis of symmetry that would otherwise exist. If an eigenbasis of encodement due to discharged wave homotopy diverges in terms of wave commutation, while the divergent wave commutation (not divergent wave generation, which would do just the opposite), causing these waves to keep iterating in a string-like fashion that may be of different transversal, spin-orbital, and/or radial placements respectively, exists due to the same substringular operation, then the associated superstrings will always be within the same general locus of tori sector. Such waves that diverge during ultimon flow obey an odd function of wave residue in-between instantons, and thus bear an Imaginary Residue. Once the associated waves, along with the differentiating path operands that the "odd" waves propagate along, act upon the other correlative waves that have diverged from the initial said waves, the waves as a unit are then back into iteration mode, and thus bear residue that is said to be Real. Then their residue may be taken from the strings in a method I will later show, in order that norm conditions among substringular phenomena may have equilibrium. Imaginary residue that's already delineated stays within a general relative locus per iteration in spite of the fact that Imaginary residue is residue that is produced during ultimon flow, and ultimon flow is in-between instantons, and Imaginary residue causes Cassimer Invariant modes via certain motion of Planck phenomena related phenomena that I will describe in later courses.