My Current Perspective -- The Largest Viable Number

 To my current perspective -- WHEN ONE INCLUDES BOTH NEGATIVE VALUES AND ZERO, the largest numerical value that means anything, is:

[[2*e^[(infinity)^8^(infinity)^8 ]]+ 1].

Please let this sink in, before you reply. I would LOVE to hear any thoughtful replies to this! 

Sincerely, SAMUEL DAVID ROACH. (PINCKNEY, MI; U OF M; WCC; EMU).

Wavelength Of Gravitational Perturbation

 When the given arbitrary Noether-Based wavelength of gravitational perturbation is zero, the directly corresponding  Ricci Curvature, is thence to be flat, and, the correlative Ricci Flow, will thereby tend to be smooth. When the given arbitrary Noether-Based wavelength of gravitational perturbation is less than zero, the directly corresponding Ricci Curvature, is thence to have a general tendency, of being eminently associated with a fractional value, and, the correlative Ricci Flow, will thereby tend to not be smooth. Furthermore; When the given arbitrary Noether-Based wavelength of gravitational perturbation is more than zero, the directly corresponding Ricci Curvature is thence to have a general tendency, of being eminently associated, with a value that is more than one, and, the correlative Ricci Flow, will thereby tend to not be smooth. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM ROACH.

The Ricci Flow, And The "Betti Action"

 The correlative Ricci Flow, that is here to be eminently associated with the "Betti Action," during the course of BRST Quantization, tends to be represented, as a negative Real Riemannian Number. This just mentioned tendency, works to bear the direct involvement, with the workings of a positive Betti Number. Whereas; The correlative Ricci Flow, that is here to be eminently associated with the "Betti Action," during the course of the Regge Action, tends to be represented, as a positive Imaginary Number. This just mentioned tendency, works to bear the direct involvement, with a negative Betti Number. The Betti Number, will always tend to be represented, as a Real Riemannian integer value. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

As an aside: 

I worked to derive an equation, of which is here to relate, the Betti number of a given arbitrary specific case scenario, during a singularized iteration of BRST, and, the directly corroborative discrete energy of the Betti Action, of which is here to be directly associated, with the concurrent set of physical attributes, that are here to be eminently applicable, when the Betti number is as such. This particular equation, is:

THE DISCRETE ENERGY OF THE BETTI ACTION  

= i*e^((The Betti number)/(2*PI))/(e^(-(1/(The Betti number))).

If I properly recall mentioning the following in the past, a superstring may only be capable of compactifying/de-compactifying, by at the most 16 spatial dimensions all at once. So; By my particular model of string theory, the absolute Riemann value of the Betti number, may only be attributable, to a discrete scalar magnitude of "16." This would thereby work to signify, from what I can perceive, that when a particular "indistinguishably different" superstring is to alter, in its exhibited number of discrete spatial dimensions, by 16 of these inferred parameters all at once, that the Nijenhuis energy that is consequently emitted by the Betti Action from this, is About, 13i(Planck Transversal Energy) + (211PI*i)/(360) (Planck Radial Energy). To me; This mathematics alone, insinuates, that about 93 percent of our universe, is a combination, of what is purported to be, both dark matter and dark energy.  THANK YOU FOR YOUR SUPPORT!!!

"Grouping" Factor/Magnitude Of Sheaving -- One

 Let's suppose that one knew what the abelian-related "grouping" factor was, for an Etale cohomology; And from this, one wanted to mathematically determine, the scalar magnitude of the directly corresponding heuristic sheaving. Here's how I would go about doing this:

Initially, mathematically ascribe, whatever the numerical expression, that is here to be attributed to the value of the said abelian-related "grouping" factor, to be considered here, in this particular case, to Act as a correlative stipulated "Zeta value(number.)" From this point; calculate what the numerical value would be, that is here to be tantamount in respective correlation, to the number that may thence be determined, via an extrapolation of the correlative Bessel Function. Now; this numerical expression, that you have just determined to be Acting, as the correlative numerical value, that is here to be directly appertaining to the directly corresponding respective Bessel Function, -- is thence to be tantamount, to the scalar magnitude of the directly corresponding heuristic sheaving, that is here to be directly appertaining, to the abelian-related "grouping," that is of a given arbitrary tense (set) of Etale cohomology-related eigenstates. To Be Continued! P.S.: (Input?!) Sincerely, SAMUEL DAVID ROACH. (1989).

Part Three As To Solitons

Let us initially consider one given arbitrary Ward-Cauchy-related phenomenon, that is here to be a soliton.  Let us consider the condition, that, in order for it to be a "soliton," it is to not be compact -- to where it is here to conform to the Ward-Cauchy-related condition, that it is to bear a tense of diffeomorphisrm.  Since the said soliton is to work to bear diffeomorphisrm, it is to bear a manifold, complex here if you will, that is to have both a smooth and an isomorphic homeomorphic topological contour -- to where one could theoretically try to here, act in so as to extrapolate a Laplacian-related cohomological mappable-tracing, along the Minkowski-related plane of its external topological surface, at the Poincare level -- in such a manner, to where there would here be the condition of one to not to have any Lagrangian-based Chern-Simons spurs to be detected.  This would then work to mean here, in this given arbitrary general case,  that the absolute value of the Beti number would not vary, and, in so long as such a soliton is here to be of a Noether-related tense of phenomenology, such a consistent absolute value of the Beti number, would be of the same absolute value of an even integer per group-related instanton, in so long as both the constraints as to being -- that such a said phenomenon is to be a soliton, as well as the constraint, that the said phenomenon does not become tachyonic here at all.  Yet, if the absolute value of the Beti number is to either decrease or to increase spontaneously, then, the soliton will no longer be a soliton -- it will then be of a compact nature, that will to be either losing or to be gaining a certain number of spatial dimensions, spontaneously.  If such an initially stated soliton, that is to change into not being a soliton, in such a manner -- to where there is not only a change in the compactification of its correlative dimensionality, yet also to where -- the topological strands of the said superstring are to expand, in terms of the scalar amplitude of their Ward-Neumman bounds, over a relatively transient evenly-gauged Hamiltonian eigenmetric, -- then, there is then to be a Clifford-Expansion in the size of the core-field-density of such a phenomenon, that is here to have perturbated from being a soliton into Not being a soliton.  Furthermore, if such a change is here to work to convert an initial Legendre homology into a symplectic homology, over time -- then, such a change will almost certainly work to alter the initial complex manifold M, -- into then being of a Real Reimman manifold, instead.  If such an alteration in the type of phenomenon that is being discussed, is to work to bear a set of one or more Laplacian-based Chern-Simons Lagrangian-related topological spurs, then, the said phenomenon is to no longer be of a flat Ricci curvature.  Let us still stay, though, that the flow of such so-eluded-to phenomenon will work to displace a holomorphic vector field.  Such A Change In Ward-Cauchy-Conditions Is One General Manner Of How One Given Arbitrary Eigenstate Of A Nijenhuis Holographic Spacing, May Work To Convert Into A Real Reimman Hilbert Space, Thus Working To Convert The Soliton Into A Cohomological-Based Compact Calabi-Yau Space, Which Is Then No Longer A Soliton.  This may often be able to happen, when there is a significant dissonance of the tendencies of the push and tug of gravitational waves, in such a manner -- to where the "best-fit-curve" as to how such a phenomenon as to what was initially a soliton -- is to behave, is then to bear a perturbative alteration, in both the display and in the scalar amplitude of its "phenotypical" correlative proximal local altering cotangent bundle.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.