Group Activity Involving Lorentz-Four-Contractions

When an orifold and/or an orbifold eigenset moves -- as a discrete unit -- in a relatively straight and transversel manner, based upon Snell's Law, through a discrete Lagrangian, for more than 384 instantons, then, the said orbifold and/or orbifold eigenset is said to behave as a holonomic substrate of physical space that is one form or another of electromagnetic energy.  When an orbifold and/or an orbifold eigenset is a quantum unit of electromagnetic energy, then, the distance between the central inter-connectivity of where the given arbitrary first-ordered light-cone-gauge eigenstates of all of the superstrings that work to form the said orbifold and/or orbifold eigenset bind with the directly corresponding Fadeev-Popov-Traces that work to form the directly correlating units of discrete energy impedance -- up to the central inter-connectivity as to where the eluded to light-cone-gauge eigenstates bind with the here corresponding superstrings that I have mentioned, is equal to pi times the Planck Length. Also, under the same conditions, the distance between the eluded to superstrings that work to comprise the said orbifold and/or orbifold eigenstate with the directly corresponding counterparts of the said superstrings will also be equal to pi times the Planck Length.  When a superstring is fully uncontracted -- due to the said superstring existing in a tense of static equilibrium as a state of superconformal invariance, then, the previous mentioned lengths of substringular field-based inter-connectivity will be shortened by one Planck Length each.  So, multiply whatever a given arbitrary Lorentz-Four-Contraction is times 10^(-43) meters, while then adding this distance to the two given respective lengths of substringular inter-connectivitiy that I had recently eluded to in this post ( onto the eluded to lengths of such field bindings that would apply for a fully uncontracted superstring), and this will work to indicate the respective lengths of the so-stated scalars of substringular inter-connectivity that work to bind both a Fadeev-Popov-Trace to its directly corresponding superstring & the distance of relativistic lengths of the directlty corresponding superstrings with their immediate counterparts.  So, when a given arbitrary orbifold and/or a given arbitrary orbifold eigenset is Lorentz-Four-Contracted by a discrete amount, each superstring that works to comprise the eluded to orbifold and/or orbifold eigenset behaves as is according to the math that I have just eluded to.  This is possible, because the condition of homotopy works to allow for mini-string segments to be ebbed into and out of the various substringular settings over time.  The reason for me stating "over 384 instantons" is because a discrete gauge-metric of any given arbitrary eigenmetric of Kaeler-Metric happens in 384 instantons -- as I will discuss more in course 24 about Conformal and Superconformal Invariance.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some More Stuff As To Three Covariant Given Arbitrary Orbifolds

Homotopic residue has a differential symmetry that exists as indices of holonomic substrate that exist in-between the individual arbitrary conisdered instanton durations, of which involve the previously mentioned substringular groups, while also simultaneously having a differential symmetry relation that would here involve a correlation to the point-fill of the corresponding first-ordered point particles that work to comprise those superstrings that work to comprise the said orbifolds that are being considered in this scenario.  The said homotopic residue also has a differential symmetry that appertains to both the transversal and the spin-orbital superfield tensors which act upon the said two substringular groups, that here quantify as a homogeneous wave permittivity that is isomorphically bilateral.  And the here relatively invariant substringular groups mentioned -- those that are in a state of being relatively static (in transition kernel), are in this case undergoing conformal invariance in a tightly knit locus.  The said substringular group that is undergoing conformal invariance is going through the conditon of Noether Flow -- in such a manner that corresponds -- leverage-wise -- to the two substringular groups that are going through tachyonic flow, since these latter mentioned groups of superstrings are here orbifolds that are being perturbated from off of a Noether-based flow into a condition of the prior stated transition eigenstate. This would involve a spring-like torsioning of homotopic binding of the one orbifold in relation to the two tachyonic ones.  To Be Continued.  Sam.

Some Good Information as to Yakawa Couplings

What are some of the attributes of certain Yakawa Couplings?  Let us say that one, in this given arbitrary scenario, were to consider a total of three sets of one and two-dimensional superstrings that were to act in a covariant manner relative to one another, in such a manner in so that these three sets of superstirngs were to bear a relatively distinct and unique kinematic differentiation towards one another -- in a manner that could here be described of as a tritiary Hamiltonian-based function. This would arbitrarily here be three orbifolds that each had their own respective operations, although the interaction of the functions of all three substringular operations would bear an overall function that involved the activity of all three orbifolds, relative to one another, over a discrete group metric of time.  One of the eluded to orbifolds would, over the mentioned group metric, exist in a condition of transition kernel -- which would here mean that the considered orbifold would, at the given metrical point, exist in a state of conformal or superconformal invariance.  The other two eluded to orbifolds would then, over the mentioned group metric, exist in a condition of transition eigenstate -- which would here mean that this here considered orbifold would, at the given metrical point, exist in a state of unrest or perturbation.  In this particular case, the said orbifold that is here undergoing a transition kernel is kinematically differentiating in the general format of Noether Flow.  Also, in this particular case, the said other two orbifolds that are undergoing a transition eigenstate are kinematically differentiating in the general format of tachyonic propulsion.  The two orbifolds that I have just eluded to as being tachyonic bear a tense of Chern-Simmons kinematic differentiation that works to dissociate these two sets of superstrings -- that operate to perform two specific functions -- from the one given arbitrary orbifold that is here undergoing a tense of conformal invariance, over the general format of Noether Flow.  Each of the three said orbifolds, or, groups of superstrings, releases homotopic residue that is compensated by an equally fed back ebbing of substringular field indices -- in so that the said release of mini-string segments that are here eluded to work to allow for the condition that all three sets of superstrings that I have mentioned here would tend to be extrapolated as being indistinguishably different, when in terms of both the respective  Hodge-based-volumes and the respective delineations that work to comprise the three said orbifolds -- as three considered structures that are here considered in a timeless-oriented manner.  This does not discount the condition that all three mentioned orbifolds are here constantly moving over time.  This would here work to show the applied condition -- as to a more specific given functioning of the general operation of Cassimer Invariance.  Thus, since all three said sets of superstrings bear an eluded to field networking, that is interconnected via some sort of abelian mini-string-based wave-tug/wave-pull that is viable as some sort of a discrete indirect substringular touch that is here not Gliossi, this may be considered as an indirect -- but feasible -- Yakawa Coupling.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.