Some Cool Neat Stuff As To Gravitational Topological Variance (GT's)

 In general; Here is a refined synapsis, as to how to work to determine the gravitational topological variance, for a superstring of discrete energy permittivity, when in lieu of the cross, between both the number of spatial dimensions that such a said superstring is to be working to exhibit, in a given arbitrary case scenario, as well as also working to consider, the number of spatial dimensions that such a stated superstring of discrete energy permittivity is to be traveling through. (The number of spatial dimensions, that are of the medium of space-time-fabric, of which such a mentioned string, is to be in the process of being transferred through, over a relatively transient proscribed respective duration of time.)

Let us initially consider the variable, "D," to work to signify or denote, here, the number of spatial dimensions, of which the herein considered proximal local superstring of discrete energy permittivity, is to be exhibiting, as it is being in the general process of being physically transferred, from one given arbitrary respective locus in space and time, to another given arbitrary respective locus in space and time. Let us next consider, that the variable, "N," is here to work to signify or denote, the number of spatial dimensions, of which the space-time-fabric, that such a superstring of discrete energy permittivity is to be traveling through, is thence to be working to be exhibiting. This being the case, one may therefore say:

GT(v) (The gravitational topological variance) = 

(((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)*(e^(2*(1-N)))+ 1))*(((N^.5)/N)*((e^(The Ricci Flow))^D) (+ - ihat, + - jhat, + - khat, ... + - q(n)hat.))

This means, that aside from the heuristic wobbling, that is of any one particular given arbitrary superstring of discrete energy permittivity, that, due to the general tendency, of the incurred force of gravity, upon such a generic stated string, that the length of the each of the spatial dimensions, of which are here to be proximal local, to the physical presence of such a said superstring, may thereby vary in the scalar magnitude of their exhibited display, by a factor of up to (+ -) The scalar amplitude, that is of the herein inferred GT's.

For example.Let us consider an electron. It heuristically has six spatial dimensions plus time. (On the order, of being related to a "Calabi-Yau Manifold.")  So "D," here, will have a value of "6."

Next. Let us consider such an electron, to be moving through a medium of space-time-fabric, of which is here to consist, of an exhibited display, of six spatial dimensions plus time. So "N," here, is also "6."

This would thence mean, that the "lengths" of the six individually taken spatial dimensions, that are here of each of the six inferred spatial axions, are going to vary in their scalar amplitude, up to a factor of + or - ABOUT "5.01672812*10^(-6)" of the heuristically considered length, that these would otherwise tend to be exhibiting, just on the account, of the general influence, of the effect of the hereupon inclusive incursion, of the proximal local force of gravity, that is here to be enacted, upon the multiplicity of such inferred individually taken superstrings, of discrete energy permittivity. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

To Refine my math more, just to make this idea hit home a little better; 

When one is to be dealing with a Ward-Cauchy-Related field, of Cotangent Bundle R(N),  as such a field is here to be heuristically comprised of by M spatial dimensions (to where, M is here to be analogous to what I had earlier termed of, as being, "D"), as taken over an eminently corroborative Fourier transform, that it is thereby to consequently follow, that the Gravitational Topological Variance, is thence to be:

GT(v(M)) = (((The Ricci Flow)*(((N-1)*e^(2*(1-N))) - 1))*(((N-1)))+1))*(((N^.5)/N)*((e^(The Ricci Flow))^M)  (+ - ihat, + - j hat, + - khat, ... + - q(n) hat.)) Thank You For Your Understanding!

Part One Of Gravitational Topological-Variance

 When an electron is struck by a beam of electromagnetic energy, it (the electron), will tend to fall back-and-forth an energy level -- to where the resultant residual spare energy, that is here to be respectively incurred upon the covariant Ward-Cauchy-Related bounds of such a stated electron, is to consequently be released, as a tangentially propagated discrete quantum of electromagnetic radiation. Right around the moment, during which a beam of electrodynamic radiation, is initially to come into a direct contact, with the holonomic stratum of the core-field-density of an electron, (of which is to be about 7*10^(-17) of one second after the immediate Gliosis-Based contact), the interaction between the inferred beam of photons with the topological stratum, that is here to be of the core-field-density of the electron, to where the shape of the topological contour, of that gravitational field, of which is here to work to bear an eminently associated covariant immediately externalized relationship, with the topological field that is proximal local to the core-field-density of the herein stated electron, is to alter in its directly associated topological morphology, to where such an inferred gravitational field, that is here to be directly corresponding to the said electron that I have eluded to here, while in mentioning such a respective given arbitrary type of a case scenario, is thereby to consequentially vary in the delineation-related distribution of its directorial-related construction, to where such a general genus, of the correlative alteration in the directorial-related contour of such an inferred topological gravitational field, may consequently be said, to be undergoing the general process, of what I call, the reductional operational-related Ward-Cauchy-Related physical condition, of what may consequently be called, the Gravitational Topological-Variance. (GT).

Let us next say, that the electron-related co-tangential bundle that is being approached, by the earlier eluded-to beam of electrodynamic radiation, is here to be of an arbitrary spatial dimensionality, of N dimensions. (It may be anywhere from co-tangential bundle R3, to co-tangential bundle R6). The equation that I have recently come-up with, for working to help determine what the Gravitational Topological-Variance, is, for the case of an initially scattered electron, of which is here to be proximal local in its eminent presence, after about 7*10^(-17) of one second upon the initial immediate contact of the inferred electromagnetic energy with the eluded-to respective given arbitrary electron that is here to be beginning to be scattered, as taken at the Poincare level to the immediate region of direct interaction, is:

GT(v) = ~ {[[The Ricci Flow]*[((N-1)*e^((2*(1-N)) - 1]*[((N-1)*e^((2*(1-N)) +1]]

*(((N^.5)/N)*((e^(The Ricci Flow))^6) {+ - (I hat), + - (j hat), + - (k hat), ... + - ( q(n) hat)}.

To where, the "hat" term, is here to elude to a reference, to the reductional shape-based delineation-related distribution, that is here to be constructed, via an understanding of the Laplacian-Based direction(s), of which are here to be directly related to the mappable contour of the shape of the directly correlative gravitational field, that is here to be expressed, at the eminent proximal local region, that is immediately externalized to the core-field-density, that is here to be directly associated with the eminently correlative electron, that is here to be of such a respectively given arbitrary type of a case scenario. SAMUEL. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED!