Eminent Knotting Along The Rarita Structure

Any given arbitrary eigenindex of the Majorana-Weyl-Invariant-Mode, is formed by the resultant interaction, of a general genus of an eminent Ward-Cauchy-related knotting in the realm of the substringular, -- as this is here to be considered, when taken to be existent along the general topological stratum of the Rarita Structure. I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Parity Between Adjacent Scattered Eigenindices

Let us initially consider a cohomological pattern, that had just formed at one given arbitrary locus.  Let us next consider this said cohomological pattern, as a "snapshot" in the substringular -- as being of a Laplacian-related Ward-Cauchy case scenario.  Let us now consider that the norm-state-projections that an orbifold eigenset had acted upon here -- in so as to work to form the said cohomology -- had formed what may be termed of as a Reimman scattering to a respective extent, in so as to form the so-eluded-to generation of cohomology eigenstates.  Now, let us consider two of the eigenindices that have here to have just been formed by the said cohomological generation -- in such a case in which these two respective given arbitrary eigenindices, which are out of the much larger overall Hodge-Index of the overall cohomological phenomenology of such a respective given case, are here to be adjacent to one another, at the proximal locus of the correlative Laplacian Transform.  These two adjacent scattered eigenindices, are of a Reimman scattering -- to where these are to bear an even parity.  This then works to elude to the Ward-based condition, that, if one were to theoretically fold together the two different individually taken eigenindices at their central coniaxion towards one another -- this would work to form a general genus of an isomorphic symmetry, at the point of duration of the correlative "snapshot" of time.  I will continue with the suspense later!  To Be Continued!
 Samuel David Roach.

Bonding Between Two Different Forming Open-Loops

Let us consider an open-strand of substringular phenomenology, that is here to bend in a hermitian manner -- in conjunction with another open-strand of substringular phenomenology that is here to bend in a hermitian manner, -- in so as to form two different distinct substringular forming open-loops, that are to ensue in so as to twine together at one covariant proximal locus, in so as to then to link together to work to form an open substringular loop, that is to consist of two tied together eigenstates of topological stratum that are to both, when individually taken, to bear a gauging as being of the scalar amplitude of  the Planck Length.  As the two internally-based ends of the two initially stated open Ward-Cauchy strands, that are to here be forming as two distinct Ward-Cauchy open-loops, are to approach a covariant proximal local region of a correlative bonding cite in which to twine together -- to where each distinct motion of the said dual operation of the so-eluded-to holonomic substrate, are to be approaching one another, to where the two forming open-loops are to come towards each other over the course of one dual general motion -- per iteration of group-related instanton.  In-Between each individually taken iteration of group-related instanton, the substringular fabric is to go through the respective individually taken iteration of the generally unnoticed duration of Ultimon Flow.  At the point of the Gliosis-based contact of the two different forming open-loops -- that are to tie together in so as to work to form one overall Ward-Cauchy-related open-loop in the substringular -- the proximal locus of such a covariant, codeterminable, and of a codifferentiable nature, is to be reached, in so as to work to delineate the two forming open-loops -- at such a position to where the internal dual-ends are then to be basically touching flushing in a Ward Supplemental manner that is to bear a relatively minimal mask angling of internal resonation, over the course of the then iterative course of one eigenindex of BRST.  At this point in time, the multiplicit dual-state of Li-based Hamiltonian operation, is to then to work to cause the internal topological stratum of arc-based mini-stringular segmentation of one correlative Li-group -- to knot upon the other internal topological stratum of arc-based mini-stringular segmentation that is consequently upon of the initial Li-group, -- in so as to work to link the one forming open-loop phenomenology upon the other forming open-loop phenomenology.  At this point, the external group-action of the surrounding environment, will work to help at causing the ensuing resultant holonomic direction of the then resultant open-loop phenomenology -- as may be mapped-out over an extrapolation that would here involve an even Hamiltonian-related gauging.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Examples Of Open Loop Phenomenology

Let us consider two different cases of Ward-Cauchy-based open-loop phenomenology, that exist in the sub stringular -- of which act in such a manner, that may be described of as a manner of being "hook strings."  Let us initially consider the first one that I had in mind.  There is the case of a sub stringular open-loop, that acts as an eigenindex of its own genus of Hamiltonian operation, that is isotropically stable.  This may be termed of as being a "1+1" string (not to be confused with a "2 dimensional" string).   It tends not to bear any significant topological-related torsioning across the "width" of its parametric dimensional symmetries.  There is, as well, the case of another sub stringular open-loop, that acts as an eigenindex of its own genus of Hamiltonian operation, that is isotropically unstable.  This may tend to be termed of as being a "2+1" string (not a 3 dimensional string).  This, on the other hand, tends to bear a significant topological-related torsioning across the "width" of its parametric dimensional symmetries.
I will continue with the suspense later!  To B Continued!  Sincerely, Samuel David Roach.

Homology Versus Cohomology

Here is the basic difference between what a homology is, versus what a cohomology is:
A homology is the physical memory as to the when, the where, and the how, that either an open substringular strand or an open substringular loop has differentiated, as a Hamiltonian eigenindex, over time.  A cohomology is the physical memory as to the when, the where, and the how, that a closed substringular loop has differentiated, as a Hamiltonian eigenindex, over time.  Such physical memories may be anywhere from being at a proximal locus, that is just external to the core-field-density of the superstring -- in other words, at the Ward-Cauchy-based field that is just external to the topological stratum of the substringular eigenindex, -- to being as a physical memory that may be extrapolated from the effect of such a respective strand or a loop, that has here to have just potentially differentiated through a Lagrangian that may be mapped-out, over a Fourier Transform that involves a sequential series of instantons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Test Solution 13 To The Last Test Of Course 19

13)  Here is a general summary, as to the manner by which the eigenindices of superstrings of discrete energy permittivity are recycled.:  Every unfrayed superstring of discrete energy permittivity, during instanton -- has 10^43 first-ordered point particles, that work to bear the general composition of the topological substrate of each of such individually taken so-stated superstrings.  During each individually taken iteration of the corresponding intervals of BRST, there is to be one first-ordered point particle, that is of the topological stratum of one of such respective given arbitrary so-eluded-to superstrings of discrete energy -- that is to be replaced by what was immediately prior as a point commutator, in a manner that is of an indistinguishably different means of replacement.  In the meanwhile, there is simultaneously, via the vantage-point of a central conipoint, the indistinguishably different replacement of the so-eluded-to point commutator, by the homotopic residue of the holonomic substrate, of what was immediately prior, of the existence of an eigenindex of the said respective correlative superstring of discrete energy permittivity.  This general format of activity is to here go on for about 10^43 instantons, afterwhich, the topological stratum of the so-stated superstring of discrete energy permittivity, is to be then tend to be entirely indistinguishably replaced, via the recycling of norm-to-ground-states and vice-versa.  This may be viewed of as the general idea behind what may be thought of as the recycling of homotopic residue -- in the substringular.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.