Hamiltonian Operators Functioning In Non-Perturbative Gravitational Fields -- Yau-Exact

 A significant part of the reason, as to why mass-bearing Hamiltonian Operators, that function in non-perturbative gravitational fields, often have the general tendency of working to display a Yau-Exact nature, is on account of the physical condition, that a gravitational field, that is not altering in the tense of its exhibited display, is more conducive, at working to allow for a more piecewise continuous Ricci Flow, in the general process, by which the directly associated conservation of homotopic residue, is here to occur. SAM.

Superstrings Comprised Of By "Mini-Stringular" Segmentation -- Possibility Of Multiple Functions -- Individually Taken Strings

 Since, by my model of string theory, the smallest thing that can be diviid-out, is the general phenomenology, that I call, "mini-stringular segmentation,"(which is on the order of Zero-Point-Energy), it is only feasible, that an individually taken superstring of discrete energy permittivity, may, at times, be able to operate to perform multiple functions at once. Therefore; it may then be said, that for an individually taken superstring of discrete energy permittivity, to be in such a situation, to where it is here to only be performing one specific function at one time, to where it is then, when under the possible stipulation of such a general case scenario, to thenceforth be behaving, as being attributable to exhibiting the display of a homomorphic field, is a potential case scenario, in which the multiplicity of such a general behaviorism of superstrings, in which their fields are to act in a group action-like manner, at the Planck-Related Level, is therefore NOT the only general way that superstrings are able to behave, --  if, as this model of string theory verbally illustrates, the Planck Level is not the smallest level of interaction, -- to where, instead, the Zero-Point-Energy Level is here to be considered, as the smallest level, by which phenomena are able to actually be diviid-out. TO BE CONTINUED! SINCERELY, SAMUEL ROACH.

Chern-Simons Invariants -- Entropy

 The kinematic operational function of Chern-Simons Invariant metric-gauge eigenstates is to the flow of eigenstates of cohomology, what the kinematic operational function of eigenstates of entropy is to the flow of eigenstates of charge.  I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL ROACH.

Chern-Simons Invariant Metric-Gauge Eigenstates

 The multiplicity of the Chern-Simons Invariant Metric-Gauge Eigenstates, have the inverse operational function, of the correlative cohomological eigenstates. TO BE CONTINUED! SINCERELY, SAMUEL.

Evenly-Smooth Application Of i*Pi(del) Action

Whenever one is to have a given arbitrary orbifold eigenset -- that is here to work to maintain its genus of spatial dimensionality, in which the directly corresponding homotopic residue is to be conserved, over a given evenly-gauged Hamiltonian eigenmetric -- from the vantage-point of the internal reference-frame of such a said respective orbifold eigenset -- there is then to tend to be an evenly-smooth application of the directly corresponding given arbitrary i*PI(del) Action. This will then tend to mean, -- that the respective given arbitrary orbifold eigenset of such a case, will then tend to maintain the tense of its rate of the acceleration of its pulsation, over the course of the duration of such a respective evenly-gauged Hamiltonian eigenmetric.  This will then tend to mean, that the so-eluded-to set of discrete energy quanta, that are here to operate to perform one specific Ward-Cauchy-related function -- will then tend to bear no metrical-related "spurs" in its so-eluded-to acceleration. This will then work to tend to mean -- that, over the so-mentioned Hamiltonian eigenmetric, -- that the said eigenset will, over the course of the so-eluded-to duration that is here to be extrapolated, tend to work to bear no spurs in its metric-based Chern-Simons singularities, -- since there is here to be no alteration in the acceleration of its dimensional-related pulsation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Conditioned Substringular Orientation

Whenever an orbifold eigenset is conditioned to be of an unorientable nature, both its correlative composite superstrings of discrete energy permittivity as well as its correlative composite gauge-bosons -- will be put into such a Ward-Cauchy-related set of conditions, to have thus been made unorientable.  Yet, whenever the superstrings of discrete energy permittivity, that are here to be of an orbifold eigenset, are instead, to have been conditioned to be made orientable -- then its correlative composite superstrings as well as its correlative composite gauge-bosons, will then be of such a nature -- to where these will ensue to have been made orientable.  Gauge-Bosons will always tend to display the spatial dimensionality, that is of the correlative field of discrete energy permittivity that these indirectly help at working to form, via the nature of their kinematic Hamiltonian function -- yet, in such a manner to where such a general genus of heterotic superstrings -- such as the just mentioned gauge-bosons -- will always be of a symplectic homology, when this is to here to be taken simply in and of itself.  You see -- gauge-bosons are a certain form of heterotic stringular phenomenology, that are here to exist from within the multiplicit Ward-Neumman bounds of the core-field-density of any one individually taken discrete quantum of energy, which act in my particular string theory model -- in so as to pluck the correlative second-order light-cone-gauge eigenstates, that directly correspond to the wave-functionality of the discrete energy impedance of any one discrete quantum of energy, -- in so as to multiplicitly work to form that general genus of Schwinger-Indices, that are necessary, in so as to be able to help in the process of then to be working to form the general physical forces, that are to be exhibited by the said multiplicit discrete energy (such as either the strong force, the electrostatic force, the gravitational force, and/or the weak force).  Metaphorically think of this biological example.  Animals have mitochondria in their cells. Mitochondria are certain organisms that exist in all animal cells -- that act, in so as to help-out in the process of working to form most of the chemical energy of any one said animal.  Likewise -- gauge-bosons exist from within the confines of discrete energy quanta, -- in so as to help-out in the perpetuity of the existence of those said discrete energy quanta.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Added Stuff As To Gravitons And Gravitinos

Gravitons exist in orbifold eigensets, that may be described of as g-fields.  G-Fields exist in a minimum of five spatial dimensions plus time -- via any directly corresponding Fourier Transformation.  Gravitinos exist in orbifold eigensets, that may be described of as gr-fields.  GR-fields exist in a minimum of five spatial dimensions plus time --via any directly corresponding Fourier Transformation.  Both g-fields and gr-fields -- when these are individually taken -- exist as a set of one or more closed-loop strings of eminent gravitational import -- that operate in so as to perform one specific given arbitrary function.  Aside from the tendency of the occasional swivel-shaped conditions, that are here to exist in the two-dimensional behavior of such so-eluded-to closed loop phenomenology, the added three or more spatial dimensions that I  have just eluded to, may be attributed to the Ward-Cauchy-related Fourier-based activity of both g-fields and gr-fields, when these are individually taken, to where such added spatial parameters are here to come into play, when such said fields are going through each successive iteration of the Regge Action, of which is to happen at the end part of each successive iteration of instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Yau-Exact Superstrings And Cohomologies

Yau-Exact superstrings are called Yau-Exact, in part, because such superstrings of discrete energy permittivity are utilized to work to comprise orbifold eigensets -- that are considered here to be, in fact, Yau-Exact -- because such eigensets tend to generate as much of a scalar magnitude and as much of a scalar amplitude of cohomology-based topological stratum, as these tend to work to degenerate as such, -- over time.
Again -- an orbifold eigenset is a set of one or more discrete quanta of energy, that work or operate in so as to be performing one specific given arbitrary respective function, -- at the physical cite of their correlative Ward-Cauchy bounds.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.