As To Oribifold Eigensets And Curved-Space

The closer that a phenomenology that is of a lower mass-based genus, moves towards a phenomenology that is of a higher mass-based genus, in this respective given arbitrary case  -- the less that the Lagrangian-based path that was of the initially so-stated orbifold eigenset, will move as if it was moving in a discrete unitary-based manner, -- since the hightened gravitational-based index will then tend to here, move in the "direction" of as having a more curved-like Hamiltonian operand.  This is as the phenomenology of a lower gravitational -based index is propagated towards the phenomenology that is a higher gravitational-based index.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

More As To Rham And Doubolt Cohomologies

Let us initially consider an orbifold eigenset, that is moving through a discrete unitary Lagrangian -- over a sequential series of group-related instantons.  Let us next say that the said orbifold eigenset, is to be moving toward a phenomenology that works to bear a much higher gravitational-based index -- to where the topological substrate that is being moved towards, works to bear a much higher mass than the initially so-stated orbifold eigenset does, in this given arbitrary respective case scenario.  The initially said orbifold eigenset, is to be initially moving via a cohomological mappable-tracing -- that works to bear here a Rham-based cohomology.  Space-time-fabric tends to bend, and not be of a perfectly "straight" nature.  The Fourier-based activity of gravity, is the main general course of force -- that tends to work at bending space-time-fabric.  Since the topological substrate that is being moved towards, works to bear a higher gravitational index, the Fourier-based activity of the first so-stated orbifold eigenset, that is moving towards the second said topological substrate -- will tend to form more of a bending of space-time-fabric per time -- as the said orbifold eigenset is to here be moving closer and closer to the so-eluded-to holonomic substrate, that is of a higher mass-based index.  This will then tend to mean, that as the initially so-stated orbifold eigenset is to be moving towards the so-eluded-to mass that is of a higher genus of Hodge-based index, the more that the initially said Rham-based cohomology will then tend to convert into a Doubolt-based cohomology.  This will then mean, that the closer that the holonomic substrate that is of a lower genus of mass moves towards the holonomic substrate that is of a higher genus of mass -- there is more of a likely-hood of the Hamiltonian operand that is of its initially hermitian-based nature, will then tend to form both at least one Lagrangian-based Chern-Simons singularity and/or one metrical-based Chern-Simons singularity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two of Chern-Simons Singularities And Ghost-Inhibitors

Let us say that one is to have an orbifold eigenset -- that is to initially be moving in what may here be thought of as the relative forward-holomorphic direction.  Let us next say that one is to here be observing the said orbifold eigenset -- as a topological substrate, that is to here be in the process of being translated as a metrical-gauge-based Hamiltonian operator, that is to here be propagated via a unitary Fourier Trasformation of a relatively cohesive set of eigenindices, that will work to help form the kinematic activity of being propagated through an elementary mean Lagrangian path -- that is of a relatively "straight" directoral-based wave-tug -- as the resultant cohomological-based mappable-tracing, is to here be propagated as a tense of the here resultant generation of a set of harmonically scattered Reimman spaces.  Let us then consider that the resultant general cohomological eigenbase, that is to here be thus formed by the physical memory of the projection of the trajectory of the so-stated kinematic-based activity that is of the so-stated orbifold eigenset, is to be of a Rham-associated nature -- since the homotopic-based torsional eigenindices, that are to here be formed by the propagation of the said orbifold eigenset through space-time-fabric, that is proximal localized at the Yukawa-based range-related cite of the functioning of the eluded-to Hamiltonian operation -- are to here bend in as many changes in derivatives as the number of spatial dimensions that the so-eluded-to set of superstrings that are to here be operating in so as to perform one specific function, are to be translated through.  All of the sudden, there is to here be a Lagrangian-based Chern-Simons singularity, that is to be formed by the initial general Fourier-related activity of the said orbifold eigenset, that was initially working to form a Rham cohomology, is to act in a directoral-based flow, that is to be propagated in so as to form a Rayleigh scattering of the cohomological eigenbase that is of the ghost-based pattern of the initially said Rham cohomology.  This will often be the result of a relatively forward-holomorphic-directed ghost-based inhibitor. This will then tend to cause a spontaneous turn of the Lagrangian-based pattern, that is of the said orbifold eigenset -- to the relative Njenhuis-to-reverse-holomorphic direction.  I will continue with the suspense later! To Be Continued!  Samuel David Roach.

Chern-Simons Singularities And Ghost-Based Inhibitors

Let us initially say that one is to have a metric-gauge-based Hamiltonian operator, that is to here be in the form of an orbifold eigenset that is to be translated via a Fourier Transformation -- in what is here the relative forward-holomorphic direction.  Let us next say that this given arbitrary respective holomorphic direction, is being observed of as to here be moving via a Lagrangian-based Hamiltonian operand -- that is of a relatively "straight" directorial-based path.  Let us next consider that there is to here be a sudden Lagrangian-based spike -- that is to happen to the said respective orbifold eigenset, that was, up until now, being propagated as a unitary Hamiltonian operator that was moving in a hermitian-based manner, in so as to bend in as many derivatives as the number of spatial dimensions that the so-stated metric-gauge-based eigenset was to here be moving through, as a parametric operator of a respective topological substrate.  Let us here say that the course of the activity that was here to be involved with the result of the said Lagrangian-based spike -- was to work to cause the said orbifold eigenset to then turn in the relative Njenhuis-to-forward-holomorphic direction -- at the cite of the so-eluded-to Lagrangian-based Chern-Simons singularity.  Part of what would tend to work to cause such a singularity, would be the motion of a ghost-based inhibitor, in the relative reverse-holomorphic direction to the initial motion of the orbifold eigenset of this given respective case, that would act in so as to work to form an initial Rayleigh scattering of the cohomological mappable-tracing of the projected trajectory of the ghost-based pattern that was being formed by the said orbifold eigenset.  Just as this so-eluded-to inhibitor is to begin in its Yukawa-based influence upon the said orbifold eigenset, this will then tend to pull the so-eluded-to cohesive set of superstrings, to then pull to what will here be the relative "left."  (This is if the forward-holomorphic direction is to here be considered as going relatively "straight.")
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two As To Consecutive Chern-Simons Singularities

Let us here consider an orbifold eigenset, that is moving in the relative forward-holomorphic direction.  Let us next consider that the just mentioned orbifold eigenset, is to all of the suddenly spike into what is to here be the relative reverse-Njenhuis to forward-holomorphic direction -- to where this said activity is to here, work to form a Lagrangian-based Chern-Simons singularity -- that is of a genus of one.  Let us next say that the just mentioned orbifold eigenset, is to ensue, in so as to just about immediately spike again, into a Fourier-based activity that is to all of the sudden -- veer into what is to be the ensuing motion of that self-same orbifold eigenset, into what is now to be the relative reverse-Njenhuis to forward-holomorphic direction.  Again, this general type of a Fourier-based activity, is to here work to form another Lagrangian-based Chern-Simons singularity -- that is again to be of a genus of one.  This general type of activity -- that is to here involve the cohomological mappable-tracing of two consecutive Lagrangian-based Chern-Simons singularities, of which are to happen almost immediatley ensuing Lagrangian-based spikes -- will tend to often work to form what will here almost ensuredly work to form an antiholomorphic Kahler condition.  Such an antiholomorphic Kahler condition, will here tend to initiate the proximal localized condition -- of what here may called the Wick Action, via a group-related metric that is called the Kahler-Metric.  The Fourier-based activity of the Kahler-Metric, tends to always work to ensue the presence of the activity of what may here be termed of as a Gaussian Transformation.  A gauge-transformation is always an example of a genus of a Gaussian Transformation, yet, not all Gaussian Transformations are of  the general nature of what I have just termed of as a gauge-transformation.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Consecutive Chern-Simons Singularities

Let us initially consider an orbifold eigenset, that is to work to bear a Lagrangian-based Chern-Simons singularity that is of a genus of one -- after the said initially considered orbifold eigenset has just finished at working to bear only hermitian singularities, over the so-eluded-to subsequent compilation of a Rham-based cohomological mappable tracing, that had just happened over the so-eluded-to subsequent sequential series of group-related instantons.  The so-stated activity, that had been involved in the formation of the said Lagrangian-based Chern-Simons singularity -- will have here worked to form, in this given arbitrary case scenario, a Ward-Caucy-based condition -- that will work to cause the Lagrangian-based path of the here mentioned orbifold eigenset, to then veer from the initial relatively forward-holomorphic direction, into the relative forward-Njenhuis to holomorphic direction -- over the initially so-eluded-to immediately ensuing duration, of what will here be the Fourier differentiation of the said orbifold eigenset over the so-eluded-to group-related metric.  Let us next say, that there will then be an almost immediately ensuing Lagrangian-based Chern-Simons singularity of a genus of one, that will now work to ensue upon the self-same orbifold eigenset -- of which will then work to form what will here amount to another changing of holomorphicity, that will as well veer into what will now be the relative forward-to-Njenhuis to hololmorphic direction, relative to the immediately subsequent Fourier-based directoral flow of the said orbifold eigenset.  This will then tend to work to form an antiholomorphic Kahler Condition -- of which will then work to cause a proximal localized initiation of a Wick Action eigenstate.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Calabi-Yau Manifolds Versus More Spurious Manifolds

A Calabi-Yau manifold is a set of one or more orbifold eigensets, that are of a mass-bearing nature.  Calabi-Yau manifolds tend to be directly appertaining to orbifold eigensets, that are to -- at any specific respective instant under consideration -- be differentiating over a metric that is of the nature of a Fourier Transformation, in such a manner, in so as to be translated through time, as a set of eigenstates that are of a Noether-based flow, of the directly associated discrete quanta of energy, that are Gliosis, at that so-eluded-to group-related metric, of a mass-bearing nature, that is here to not be of a tachyonic-related nature.  Any given arbitrary set of eigenstates that are to spike in the course of their delineatory translation, as a metrical-gauge-based Hamiltonian operator, that is to here tend to change relatively abruptly, in either its Lagrangian-based flow and/or in its metrical-based flow, over a sequential series of group-related instantons, -- may form Chern-Simons singularities that can here be of either a Lagrangian-based nature and/or of a metrical-based nature -- to where the cohomological mappable tracing, that is of the projected trajectory that is of the physical memory of the kinematic-related activity of such so-stated given arbitrary eigenstates, will then tend to act through the basis of the spike, that is to here be related to the thus formed singularity, in such a manner as to here be not of a Yau-Exact nature.  This will occasionally be the case, whether the set of eigenstates that are here to be translated through, are what is here to be of either a Lagrangian-based Chern-Simons-related spike, and/or of a metrical-based Chern-Simons-related spike.  Yet, a Calabi-Yau manifold is said to tend to always be of a Yau-Exact manner, in the following way, when this is taken as a set of orbifold eigensets that are of the Lagrangian eigenbase of a Noether-based flow:  Discrete quanta of energy that are of a nature of the topological substrate of a Calabi-Yau nature, will always tend to bear holomorphic-based torsional eigenindices, that will bend in a hermitian-based manner, in all of the spatial dimensions that the said eigenstate that is here of a Calabi-Yau nature is moving through, as a holonomic substrate that is here to be projected through its directly corresponding Hamiltonian operand -- as a set of what will here tend to be Yau-Exact quanta of discrete eigenindices of energy -- whether or not the whole so-eluded-to topological substrate that is of the said holonomic eigenbase, that is to here be delineated through space over time, is to spike in a Chern-Simons-based nature or not, in either a Lagrangian-based nature and/or in a metrical-based nature. This is what tends to be the nature of the delineation of the Fourier-based translation, of what are to here be mass-bearing orbifold eigensets -- in so long as the directly affiliated Calabi-Yau manifold, that is kinematic in this case in its displacement, is of a Noether-based flow, over the correlative eigenbase of time.

More As To Calabi-Yau Manifolds And Worm-Holes

Just as a Calabi-Yau manifold has exited from a given respective arbitrary worm-hole, it (the respective Calabi-Yau manifold) will go back from working to bear a Yang-Mills light-cone-gauge topology, to working to then bear a Kaluza-Klein light-cone-gauge topology -- once again.  As the light-cone-gauge topology of the mass-bearing orbifold eigenset of this case returns from working to bear a non-abelian light-cone-gauge topology to then working once again to bear an abelian light-cone-gauge topology, -- the dimensional parameterization of the spatial-based Ward-Caucy bounds of the core-field-density, that is Gliosis to the so-eluded-to orbifold eigenset at the Poincare level, will then work to compactify from that added dimensionality-based condition that it had had in the worm-hole that it had just exited, -- to then simply bearing those initial d-fields (for electrons) and f-fields (for nucleons) that the directly corresponding Calabi-Yau manifold of that respective tense of an orbifold eigenset that had here just traveled thru a worm-hole, was to initially work to bear, as a Noether-based tense of a set of substringular eigenindices that are to tend to be Yau-Exact, for all intensive purposes -- once the said orbifold eigenset has finished bending through space amongst the immediately prior venue of those critical cusps that had eluded-to the process that is here of the transfer of physical phenomenology, along a contorsioning delineatory-based Lagrangian displacement, that is of that Hamiltonian operand that had here acted as the previous translated worm-hole eigensbase.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Calabi-Yau Manifolds And Worm-Holes

Let us say, that an initially mass-bearing topological substrate -- of which would inherently be of a Calabi-Yau manifold -- is to be altered from its initial tense of a Fourier differentiation as a Hamiltonian operator that is moving via the process of Noether Flow, into being translated into an ensuing tense of a Fourier differentiation as a Hamiltonian operator that is to then be moving via the process of a tachyonic flow, -- over a relatively transient duration of a sequential series of group-related instantons.  Just as the said set of mass-bearing orbifold eigensets that work to comprise the so-stated Calabi-Yau manifold, that is to then travel through the so-eluded-to worm-hole -- the dimensional context of the so-eluded-to metrical-gauge-based Hamiltonian operator will then tend to work to decompactify -- from being of the spatial parameter-related nature of working to bear six or less spatial dimensions plus time (six spatial dimensions that would initially be related to the directly corresponding d-fields, and four spatial dimensions that would initially be related to the directly corresonding f-fields), into next working to bear at least twelve spatial dimensions plus time -- as the overall composite of the said Calabi-Yau manifold is to here be translated as a set of torsional-based indices, that are to here travel through a worm-hole, -- as the said worm-hole is to here work to bend two different Njenhuis-based Gaussian eigensets of mass-bearing topological substrate, in so as to allow for a relatively immediate spatial translation that will here work to inter-bind two relatively far reaches of space in a relatively transient period of time.  Even though a vast portion of the relative speed of a worm-hole is directly related to the contorsioning or the bending of space-time-fabric -- this particular worm-hole of this case is to here bear a certain degree or a certain scalar magnitude of working to bear a tense of a tachyonic propulsion.  This will not disobey the needed tense of Lorentz-Four-Contractions -- since the directly corresponding light-cone-gauge topology of the mass-bearing superstrings that are to here be translated via the so-eluded-to tachyonic-based worm-hole, are to alter from working to bear an inital Kaluza-Klein topology, into then working to bear a Yang-Mills topology.  As the said Calabi-Yau manifold that is to travel through the said worm-hole, is to then be both traveling through twelve or more spatial dimensions, of which it is to tend to change in the number of spatial derivatives that are to equal the number of spatial dimensions that it is traveling through, the worm-hole will tend to always -- at the critical cusps of the bending of space via the worm-hole -- change in more derivatives than the number of spatial dimensions that it is moving through.  This will then mean that any Calabi-Yau manifold that is to travel through a worm-hole, will tend to not be Yau-Exact at the critical cusps of the contorsioning of space, where the directly corresponding bending of space is to here be relatively maximized, as a Hamiltonian operand by which the said Calabi-Yau manifold is to here be Yukawa to it, as it is being translated in such a tachyonic manner.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Lagrangian-Based Alteration and Doubolt Cohomologies

Let us here initially consider an orbifold eigenset, that is moving in a Noether-based manner -- through a set number of spatial dimensions -- in such a manner, by which the so-eluded-to metrical-gauge-based Hamiltonian operator is to act as a Calabi-Yau manifold, that is to here be working to form a Rham cohomology, that is of a proximal localized tense -- from within a Real Reimmanian context.  This would then involve the conditions, that the so-stated orbifold eigenset is to here be changing in the same number of derivatives as the number of dimensions that it is moving through, as well as that the holomorphic-based torsional eigenindices that are of such a so-eluded-to orbifold eigenset, are to also bend in the same number of derivatives as the number of spatial dimensions that it is moving through -- over the set group-metric, by which the said Hamiltonian operator is to be functioning in so as to move through a discrete Lagrangian of space, via a Fourier Transformation that is of a Noether-based flow, that is of the directly corresponding spatial eigenindices, that are to here be Gaussian to that Hamiltonian operand that is Gliosis to the topological substrate that is Yukawa to that flow of motion by which the so-eluded-to disturbance of space is being propagated through, over time.  Next, consider that the said orbifold eigenset of such a respective given arbitrary case, is to then, all of the sudden -- move in so as to change in two more derivatives than the number of spatial dimensions that it is moving through.  This will then work to tend to form that Ward-Caucy-based conditions of a set of Lagrangian-based Chern-Simons singularities, in such a manner, that, since that the said Hamiltonian operator is to suddenly change in two more spatial dimensions than it is moving through instead of in only one more spatial dimensions than it is moving through, then, to where such a set of superstrings that are to here work to perform in so as to operate as one unit that is to function in so as to do one specific task -- then such an abrupt change as I have just described here, will as well tend to form at least one set of roots, as to what will here tend to be the formation of metrical-based Chern-Simons singularities.  As I have implied earlier, in so long as the orbifold eigenset is to here remain in so as to only form a Noether-based flow in the meanwhile, it will, over the course of being commuted through the so-eluded-to spike in the flow of the said Hamiltonian operator -- via the course of its translation through its directly corresponding Lagrangian over time, the pulse of the so-stated set of superstrings will then be altered here in its general commutation -- in what will here tend to be either an attenuation or an ellongation of the flow of its transmutation, over time.  This will then work to tend to alter the flow of that cohomology -- that is Yukawa to the flow of the said orbifold eigenset, from being of a Rham-related ghost-based pattern to then being of a Doubolt-related ghost-based pattern -- in the process of the said Hamiltonian operator being translated through the said Lagrangian -- over the directly corresponding sequential series of group-related instantons.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Tendency Of Rham Versus Doubolt

If an electron is moving through a d-field, that is to here be involved with the translation of the said electron to be delineated here via six spatial dimensions plus time -- then, it will tend to both be Yau-Exact, as well as such a so-eluded-to discrete metrical-gauge-based Hamiltonian operator to here be working to form a Rham-based cohomological mappable tracing, -- since the said electron will here be changing in only as many derivatives as the number of spatial dimensions that it will be going through, in such a case, over the directly corresponding sequential series of instantons, by which the said electron will be translated through.  Yet, if the said electron is to either spike in either its Lagrangian-based translation and/or in its metrical-based translation, and/or if the said electron is to increase in the number of spatial dimensions that it is to here be traveling through -- then, such a so-stated tense of a discrete Hamiltonian operator, will often be altered in so as to then be working to spontaneously form the course of a Doubolt-based cohomological mappable tracing, -- over the ensuing metrical-based grouping of such a sequential series of instantons.  This will then work to form an occasional mode, as to what would tend to be of a Yau-Exact phenomenology -- to then work to bear at least one set of Chern-Simons-related index-based roots. Such Chern-Simons affiliated roots, will tend to be of an Imaginary-based eigenbase, -- If the spike that works to form such a tense of a so-eluded-to aberation -- is of a Njenhuis nature, over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Tense Of Cohomological Genre

Let us initially consider a superstring that is partially Yau-Exact -- such as a photon, that is being propagated along a discrete Lagrangian as a metrical-gauge-based Hamiltonian operator, over time.  The said superstring is to here -- in this given arbitrary respective case -- be traveling through at least ten spatial dimensions plus time, over the course of the respective metric, by which the said photon is to be traveling over, yet, the so-stated photon is to not be fully Yau-Exact, since it is not of an eigenbase that is as to mass-bearing superstrings.  Let us next stipulate that the so-eluded-to discrete quantum of electromagnetic energy, is to be both moving in ten spatial dimensions, as well as the so-eluded-to discrete quantum of energy to here be changing in ten spatial-based derivatives -- as it is being propagated along the so-eluded-to Lagrangian, over a sequential series of instantons.  Let us say, that the holomorphic-based torsional eigenindices that are of the said discrete quantum of electromagnetic energy, are to only be hermitian in six of the ten spatial dimensions that it is moving through -- over the course of such a so-eluded-to Fourier-based translation, which is to here exist -- as the said photon is to function as a unitary Hamiltonian operator, that is of such a respective genre as to here being of a partially Yau-Exact nature.  This would then work to mean, that the six holomorphic-based torsional eigenindices that are of a hermitian nature, will then tend to work to form a partial integration of a Rham-based cohomological mappable tracing, while the four holomorphic-based torsional eigenindices that are instead of a Chern-Simons nature, will then tend to work to  form a partial integration of a Doubolt-based cohomological mappable tracing. A hemitian cohomological mappable tracing tends to only bend in as many derivatives as the number of spatial dimensions that it is traveling through over time, yet, a Chern-Simons cohomological mappable tracing bends in more derivatives than the number of spatial dimensions that it is traveling through over time. 

I will continue with the suspense later!  To Be Continued! Sincerely Samuel David Roach.

Part Two As To Rate Versus Magnitude

The relative codifferentiable rate of one given arbitrary respective tense of a second-ordered light-cone-gauge eigenstate, is to be taken to the sixth power -- while the relative codifferentiable comparison as to the scalar amplitude of the amount of mini-stringular segmentation, that is here to be fed-into the self-same said second-ordered light-cone-gauge eigenstate -- is to be taken to the first power. So, how does this work to compare the condition, as to how many times as many Schwinger-Indices or gravity waves are to here be produced by the plucking of one respective given arbitrary second-ordered light-cone-gauge eigenstate, of a discrete quantum that is of a Kaluza-Klein topology, versus the condition as to how many times less Schwinger-Indices or gravity waves are to here be produced by the plucking of one respective given arbitrary second-ordered light-cone-gauge eigenstate, that is of a discrete quantum -- that is of a Yang-Mills topology?
Let us say that a given arbitrary second-ordered light-cone-gauge eigenstate that is of a Kaluza-Klein topology, is to work to bear one-half of the scalar amplitude of mini-stringular segmentation -- that is to be fed-into its immediate Ward-Caucy bounds, than a covariant-based comparitive second-ordered light-cone-gauge eigenstate that is of a Yang-Mills topology, yet, the said eigenstate of a Kaluza-Klein topology, is to here vibrate at twice the relative rate as the said eigenstate of a Yang-Mills topology. (This would probably not happen literally, yet, this is just to give you an idea.)  Two to the sixth power is 64.  Two to the first power is 2.  This would mean, in this given metaphorical case, that the said eigenstate of a Kaluza-Klein topology of this case, would then tend to form 32 times as many Schwinger-Indices -- than the said eigenstate of a Yang-Mills topology of this case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Rate Versus Magnitude

The rate at which any respective given arbitrary second-ordered light-cone-gauge eigenstate is to vibrate -- over the course of BRST -- has a lot more to do with the Hodge-Index as to the number of Schwinger-Indices or gravity waves, are to be produced by the topological substrate of the directly corresponding first-ordered light-cone-gauge eigenstate.  The second-ordered light-cone-gauge eigenstates, that are to be directly affiliated with the condition of a Kaluza-Klein light-cone-gauge topology -- tend to vibrate a lot quicker over the course of BRST, than the second-ordered light-cone-gauge eigenstates that are to be, instead, directly affiliated with the condition of a Yang-Mills light-cone-gauge topology.  This is why phenomenology that is correlative to the Ward-Caucy-based conditions of a Kaluza-Klein light-cone-gauge topology, will always tend to produce more Schwinger-Indices or gravity waves -- than that phenomenology that is correlative to the Ward-Caucy-based conditions of a Yang-Mills light-cone-gauge topology.  Mass that is not tachyonic, will always tend to be of a Kaluza-Klein topology, and, such so-eluded-to manifolds of mass will always work to bear more of a direct association with gravity waves -- than a phenomenology that is instead of a Yang-Mills topology.  I will continue with the suspense later! Sincerely, Samuel David Roach.