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!!!

Some Stuff As To The Beti Number And Orientable Supertrings

When the Beti number is even, during either BRST and/or during the directly ensuing Regge Action, for any one given superstring of discrete energy permittivity -- the said string is orientable, -- and thence, the so-stated superstring of discrete energy permittivity is then to ensue as being of a Noether-related flow.  The reason to this -- is that, when a superstring is to bear an even chirality-related parity, -- it is then to tend to bear a resulting Reimman-based scattering.  A Reimman-based scattering is of a harmonic delineation.  When the Beti number is of an even integer, -- the consequent partition-based discrepencies of the correlative superstring, is then to work to bear a harmonic flow of a distribution among the consequent partition-based discrepencies of the directly corresponding counter string of that self-same discrete quantum of energy permittivity.  Such a delineation of an even ordering, is here to work to form a homeomorphic field between the said superstring and its correlative counter string, during BRST.  Such an even ordering will then help at working to allow for the directly corresponding discrete energy to not be perturbated-out of Noether Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Norm-State-Projection Eigensets

Let us initially consider a set of norm-states, that work to perform one set of functional operation.  Such a Hamiltonian operator that is to here to consist of a group of cohesive norm-states, may here be called a norm-state-projection.  Furthermore, a set of norm-state-projections that operate as a group, in so as to work to perform one specific general function, may be called a norm-state-projection eigenset.  Let us next consider, in general, the array of gauge-metrics, that are here to be most directly pertinent to those sub-Fourier-based kinematic activities, that take place from a scope that takes place in less than one discrete increment of time.  None of such gauge-metrics are to here to be able to go an exact integer number into one discrete increment of instanton, to where, although any duration that is of a viable import to any living being, will tend to bear a discrete number of instantons, yet, any of such so-eluded-to gauge metrics that are here of a sub-Fourier-based tense, will tend to never bear an exact integer number of those said gauge-metrical-based durations into any viable time, to where these are here to occur at a level that takes place in less than one discrete increment of time.  Let's now consider a superstring, as it is eminent in its Yukawa-based inter-relationship with the Kahler-Metric, in a Gliosis-based manner.  Let us next consider the four general stages that such a directly affiliated discrete quantum of energy is to be involved with, over the course of one correlative individual instanton.  There will tend to be one norm-state-projection eigenset -- that is to be involved with that decompactification that is involved with the Polyakov Action.  There will tend, as well, to be one norm-state-projection eigenset -- that is to be involved with the main part of BRST, during the remainder of that said iteration of the respective proximal local Polyakov Action egienstate.  There will also tend to be one norm-state-projection eigenset -- that is to be directly associated with the eminent Yukawa-based inter-relation, that the said discrete quantum of energy is to bear with the holonomic substrate of the correlative Klein Bottle eigenstate, in a Gliosis-based manner, with the correlative increment of the Kahler-Metric -- right after the respective so-eluded-to iteration of the proximal local increment of BRST.  And, there will also tend to be one norm-state-projection eigenset -- that is to be directly involved with the directly associated discrete quantum of energy, that has been in the process of being in a Gliosis-based relationship to the Kahler-Metric, as the said discrete quantum of energy is to be going through the ensuing correlative Regge Action eigenstate -- at the relative ending part of instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Proof of Parallel Universes

Fully Lorentz-Four-Contracted Radian = 10^(-43) meters.
C=~6.283185307*10^(-43)meters
C=2pi(R)
V=(4/3)piR^3
V=(4/3)pi*8(8 is the #of connections to one locus of Planck Phenomenon)*10^(-129)meters
V=(32(There are 32 dimensions per set of parallel universe)pi/3)*10^(-129)meters
(32pi/3)*10^(-129)meters*10^(81)(There are 10^(81) types of substringular angles
= (32pi/3)*10^(-48)meters
(32pi*10^(-48)meters)/10^(-43)meters = (32pi/3)*10^(-5)
(32pi/3)*10^(-5)*95pi(There is Imaginary Charge That Is Safe In One Universe Up To The Integer PI Quantum Charge Of 95PI(Iev) Per BTU Of Holomorphism)
=~.100011991
1/~.100011991=~9.998801017=~10
5pi(I)ev As An Integer PI Quantum Charge Up To 95pi(I)ev As An Integer PI Quantum Charge Bears A Total Of 91 Safe Imaginary Integer PI Quantum Charges
Thence, There Are 91*10^(81) universes per set of parallel universes.
The spaces in-between the holomorphies & the parallel universes fit by a factor of 10.
One is the smallest positive odd integer. One is unity.
The smallest positive odd integer that is not unity is three.
So, there are three sets of parallel universes, since this allows for ultimon flow, as I once implied to Proffessor Brian Greene.
Thence, there are 273*10^(81) physical universes.