A Better Understanding

 In regards to the relative covariant Laplacian-Based spatial dimensionality, of a given arbitrary genus, of a Laplacian-Based setting, of a heuristic superstring-based Calabi-Yau manifold: 

Let us consider the series, that I had initially indicated, in so as to work to determine the relative Hodge-Based comparisons, between and amongst the implicative scalar amplitude-related characteristics, of the parameter-related distances, that may here be eminent in relation to one another, for a Noether-Based superstring of discrete energy permittivity, at an internal reference-frame, as this general process is here to be considered, at the Poincare level to the respective Laplacian-Based topological manifold, that is thence to be eminent to the Neumann-Related field, that is here to be immediately external to the core-field-density, of such an inferred unitary Hamiltonian Operator, when one is here to be considering the overall energy of the system, to be of a singular discrete quantum of mass-bearing superstring-related energy. 

Let us, arbitrarily, consider just the spatial dimensions of such a stated Calabi-Yau manifold, that are to be of a complex nature, that is also respectively compact. We will, as well, be considering, the workings of a D-field, of which is here to work to involve six spatial dimensions plus time. Let us now, at this point in explanation, consider the third “largest” of such spatial dimensions, as being described of, as having a Hodge-Based parametric amplitude of spatial dimensionality, of “the natural log of (i*PI.)” This is because, at this inferred tense of a small level, the third largest spatial dimension that we would tend to “observe,” is to have a Zernique Polynomial involved with the expression of its parametric restraint, and, such a stated type of a “Polynomial,” works to involve both a Riemann-Related conjugate And a Nijenhuis conjugate as well. Let us next say, that the next smaller dimension of the six, is to be Only e^1 times as small in relative Hodge-Based parametric scalar amplitude, as its next highest spatial dimension. (The latter of which, is to be of the said relative “the natural log of (I*PI)” scalar amplitude, of parametric dimensional “swipe.”) Furthermore; The second smallest spatial dimension of the six, is here to be e^2 times as small in dimensional “swipe” as the third smallest, and, the smallest spatial dimension of the six, is here to be e^2 times as small in dimensional “swipe” as the second smallest of such spatial dimensions.) This works to help indicate, that although the third smallest spatial dimension of a D-field, is relatively elongated, the two smallest spatial dimensions of a D-field, are relatively curled-up spatial dimensions. SAM ROACH.