Solutions To The First Test Of Course Eleven About Orbifolds

1)  An orbifold is a membrane/manifold-like structure that is comprised of superstrings, and, such a structure operates with a specific function as an entity that acts as a unit of physical spatial phenomenon.

2)  An index of an orbifold is the fractal of magnetic and electric field --  primarily a fractal of the magnetic field -- of the Planck-Related phenomena that work to comprise any given arbitrary orbifold. 

3)  An  orbifold eigenbasis superset is the total magnetism of a given arbitrary universe.

4)  The magnetic fields of orbifold indices of different universes overlap.

5)  These are the first-ordered point particles that work to comprise the fractal of the electric field of a Planck-Related phenomeno.

6)  These are the first-ordered point particles that work to comprise the fractal of the magnetic field of a Planck-Related phenomenon.

7)  91*10^(81).

8)  The partial aspect of the fractal of the "voltage" of the fractal of the electric field of Planck-Related phenomenon works to cause this.

9)  When the Planck-Related phenomena that are adjacent that are of different universes approach each other in such a manner that their intrinsic vibrations synchrounize in so as to bear orphoganal norm-conditions that wobble by a codeterminable codifferentiable covariant relativistic angle of ~1.104735878*10^(-81)I degrees, then, such mentioned phenomena are altered in such a manner so as to then be of the same universe.

10)  A region where mini-string segments interconnect various superstrings that bind in such a manner in so that these said strings bear a unitary-based function works to allow for certain Real Reimmanian exchange among those superstrings, which, in this case specifically, reffers to the actual superstrings themselves and not there counterparts -- this is what works to designate a substringular space as an orbifold.

Session Seven Of Course Ten On The Light-Cone-Gauge

What are the ramifications of Yakawa Couplings in terms of how these, in certain circumstances, effect light-cone-gauge eigenstates?  This here is going to be something similar but different from something that I wrote for Course Nine.  Let us say that there are here two sets one-dimensional superstrings and also two sets of two-dimensional superstrings that codifferentiate over a Fourier Transformation in a covariant manner in the scenario that I am about to discuss.  One of the said sets of one-dimensional superstrings along with one of the sais sets of two-dimensional superstrings are in the process of going through a significant perturbation, when one is to compare what these two sets of superstrings are going through over a given arbitrary duration that involves a sequential series of timebound iterations that are consecutive and Caucy Ward Bound over the whole Fourier Transformation that I am relating in this case.  Each of the said two groups of superstrings that are relatively interbound in terms of being both covariant -- as well as going through a relatively significant perturbation --  also bear a certain degree of covariant codifferentiation over the same general duration of Fourier Transformation with the other two sets of superstrings that I initially mentioned near the beginning of this scenario, except, the other two sets of superstrings involved here are not going through a relatively significant perturbation when compared with the initial two  mentioned groups of superstrings.The two-dimensional stringular groups that I initially mentioned  bear a kinematic homotopic residue, in spite of the condition that one of these groups here is altering in terms of its relative Ward-Caucy condtions while the other substringular groups is not.  Such a kinematic homotopic residue involves a propagation of a sequential series of Laplacian-based differential symmetry between the point-fill, spin, and roll superfield tensors whic quantify as a homogeneous wave permittivity that is bidirectoral in terms of the resulting kinematic operation of such superstrings over a deffinitive Fourier Transform.  The relatively invariant stringular groups bear a deffinitive inter-relationship with each other in spite of the conditon that two of  these groups is going through a perturbation in their Ward-Caucy bounds while the other two groups are relatively unperturbated in their Ward-Caucy bounds over a duration that involves the motion of the said supeerstrings over a discrete period of time.  The more that a Wilson Line develops -- alligning the parity between those strings which would converge the holonomic discharge of wave interaction between the two said altering groups with the two said relatively unperturbated groups -- the more that the conformally invariant stringular groups that I had metioned earlier that are being altered will be one of the superstringular groups of its corresponding tori-sector that will eventually dissociate from having a direct correspondence with the groups of superstrings that are here not being altered as I previously described.  This is partially on account of the condition that the Polyakov Action and the activity of the light-cone-gauge eigenstates is altered when two relatively less related superstrings are brought into too much allignment with two relatively more related superstrings.  This is considering here that the condition of the perturbation in the said two said substringular groups that I had mentioned involves the same general format of alteration in Ward-Caucy bounds.  But here, the said homotopic residue of each stringular group that undergoes such a change will maintain its generation as it propagates along the Ultimon.  This is so that the previously mentioned homogeneous wave permittivity that is involved here will respond in such a manner so that the commutation of spin symmetry via the indices that are local to both sets of stringular groups at one metric or another on their way around the Ultimon will here differentiate with a basis of chirality that hermitianly distributes the substringular residue as it vibrates in proportionality to the norm-conditions that relate to the transition of the angular momentum of each segment of the related residue.  As bi-local stringular encodements converge their trait-based residue ("traits" here referring to the residue of their intrinsic vibrations) in proportion to the even distribution of their wave propagation, the described semi-groups isometrically commute their mentioned kinematic phenomena-based discharge in a manner that bears a symmetric parity.  The spin symmetries that become covalient via "wave-axials" of the kinematically differentiating respective Ward-Caucy curvatures here are then the action of Yakawa Couplings that bear some sort of cohomological inter-relaion with the light-cone-gauge in terms of the respective Gliossi interactions that happen over time.  Sincerely, Sam Roach.

Course 3 on Lorentz-Four-Contractions, Session 14, Part 1

The appearance of stringular contraction is in the globally distinguishable. You may wonder, "What does he mean by detecting a string within a neighborhood as it is iterating and reiterating several times?" Since a string is a small phenomenon that is of itself a vibration of several point particles that comprise its make-up, then, as a string defines its position as what it is for just a moment, it is iterated. Change is constant. The strings existence as a string in a specific position as being exactly what it was during the metric of pointal organization that allows it to be that is basically no longer than the instantaneous organizational moment that it takes for the points to become "exact" and "linear" when considering the basis of a 1-D string or a vibrating strand, form an instanton-quaternionic-field-impulse range right before this iteration, and then dissociate after this iteration. So stringular organization is only a transient thing when considering ultimon flow. Yet, if you detected a "string" at any spot, it would show a sense of stability in terms of empirical reality, even though it would indicate a condition of vibration. How? When a string in the globally distinguishable appears to be basically vibrating as a still phenomenon, then the substringular action indicates motion of the string that keeps coming back to basically the same spot if in a state of superconformal invariance. Since the string keeps approximating the same position here after it keeps returning after circling the Continuum each time, it appears to be basically changeless in terms of Cartesian displacement as a unit. The condition in the lateral displacement of the string as a unit is the condition of a phenomenon that does not differentiate kinematically as a unit in the globally distinguishable. I will appease the suspense of my readers by providing more knowledge of this session later.