Clarity As To Scatterings

When one is to have a Reimman scattering -- the adjacent scattered eigenindices are chiral, with an even chirality-based parity, -- whereas, when one is to have a Rayleigh scattering -- the adjacent scattered eigenindices are antichiral, with an odd chirality-based parity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cyclical Reverberations And Reference Frames, Part Three

Let us initially consider a given arbitrary orbifold eigenset, that is moving, as mentioned before, via a rectangular Lagrangiain-based path -- in such a manner, as to be tending to turn at each correlative corner, towards the relative left.  Let us, as before as well, consider that the said orbifold eigenset is to here work to bear cyclic permutations.  Let us then, as well, consider that the said orbifold eigenest is to, from an external reference frame, be reverberating -- as well -- from going towards the relative "up" (norm-to-forward-holomorphic) to going towards the relative "down" (norm-to-reverse-holomorphic) direction -- in so as to iterate through such a so-eluded-to cyclical path, as a phenomenology that is to reverberate via a binary-based genus of a tensoric-related Lagrangian-based path, over time.  Let us next consider those correlative group-attractors -- that work in so as to help in the influencing of such an orbifold eigenset, to be able to undertake such a back-and-forth reverberation -- that is to here reiterate in such a relative "up-to-down" associated manner.  Those group-attractors that would work here -- in so as to influence such an orbifold eigenset to move into the relative norm-to-forward-holomorphic direction -- would here tend to have a chiral effect upon the holonomic substrate of the said orbifold eigenset, over a sequential series of instantons.  Contrariwise -- those group-attractors that would work here in so as to influence such an orbifold eigenset to move into the relative norm-to-reverse-holomorphic direction -- would here tend to have an antichiral effect upon the holonomic substrate of the said orbifold eigenset of such a case, over a sequential series of instantons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Three of the Sixth Session of Course 18

Chiral cohomologies tend to depict harmonic topological-based flows of the mappable-tracing of the physical memories as to the where, how, and when, of any given arbitrary respective substringular kinematic activity.  This is while, antichiral cohomologieis tend to depict annharmonic topological-based flows of the mappable tracing of the physical memories as to the where, how, and when, of any given arbitrary respective substringular kinematic activity.  The kinematic activity of space-time-based fabric -- when in terms of both the existence and the activity of worm-holes -- tends to be a chiral-based spatial transposition, that is kinematically differentiable in both a harmonic and in an annharmonic manner, as one works to map-out the directly corresponding bending of space-time-fabric that is eminent to the multiplicit and multidirectoral-based Lagrangian-based nature of any one unique respective given arbitrary worm-hole, over time.  The harmonic differentiability of any one given arbitrary so-eluded-to worm-hole, is the even transfer of phenomena -- that enters in at one end of the so-stated worm-hole, while, such a respective so-eluded-to general format of physical phenomena leaves the other end of the so-stated worm-hole, relatively shortly after it does the so-stated initially mentioned entering of the worm-hole.  This is since the vast majority of the kinematic inter-play of the "speed" of any given arbitrary worm-hole is due to the contoursioning of space-time-fabric.  Yet, tachyonic transfer of phenomena happens a lot more often than many people may think.  If a phenomena of mass works to temporarily convert its light-cone-gauge topology from an abelian or Kaluza-Klein topology to a non-abelian or Yang-Mills topology, then, it is possible for the so-stated respective given arbitrary mass to temporarily become tachyonic.  A mass is typified as bearing of both a Kaluza-Klein light-cone-gauge topology, and also as bearing Yau-Exact singularities in-between its constituent superstrings.  So, a mass may be temporarily transferred as tachyonic at times -- simply by temporarily altering its light-cone-gauge topology.  The annharmonic nature of any respective given arbitrary worm-hole is contingent to the condition, that, the phenomena that leaves the said worm-hole at the exiting side of the so-stated worm-hole, tends to not be brought back to its potentially tachyonic origin.
This is enough for now!!! To Be Continued!  Sam.

Part Two of the Sixth Session of Course 18

Both orbifolds and orbifold eigensets may exist as either a bosonic-based configuration or as a fermionic-based configuration.   Cohomologies may exist in terms of world-sheets that work to inter-bind other substringular phenomena, as well, as a fractal of magnetic topological-based settings that work to correspond to those multiplicit respective orbifolds -- that operate in so as to form a mappable tracing that forms the so-stated given arbitrary cohomologies.  Unique relatively codifferentiable, codeterminable, and covariant cohomological-based physical patterns may be symmetrically orientable in either a relatively chiral isometric geometrical-based manner, or, other unique relatively codifferentiable, code terminable, and covariant cohomological-based physical patterns may be symmetrically orientable in a relatively antichiral isometric geometrical-based manner, over time -- as the physical memory as to the where, how, and when the directly corresponding orbifolds -- that had worked to form the so-eluded-to cohomoogical-based patterns that I had inferred -- have been mappably traced.  A chiral-based symmetry may be either trivially isometric, or, such a general genus of a chiral-based symmetry may be non-trivially isometric.  An antichiral symmetry bears a reversal in the handed-based nature of a general isomorphism, that may be reverse-symmetric in either a trivially isomorphic manner or in a non--trivially isomorphic manner.