Wednesday, December 14, 2016

Calabi-Yau Manifolds Versus More Spurious Manifolds

A Calabi-Yau manifold is a set of one or more orbifold eigensets, that are of a mass-bearing nature.  Calabi-Yau manifolds tend to be directly appertaining to orbifold eigensets, that are to -- at any specific respective instant under consideration -- be differentiating over a metric that is of the nature of a Fourier Transformation, in such a manner, in so as to be translated through time, as a set of eigenstates that are of a Noether-based flow, of the directly associated discrete quanta of energy, that are Gliosis, at that so-eluded-to group-related metric, of a mass-bearing nature, that is here to not be of a tachyonic-related nature.  Any given arbitrary set of eigenstates that are to spike in the course of their delineatory translation, as a metrical-gauge-based Hamiltonian operator, that is to here tend to change relatively abruptly, in either its Lagrangian-based flow and/or in its metrical-based flow, over a sequential series of group-related instantons, -- may form Chern-Simons singularities that can here be of either a Lagrangian-based nature and/or of a metrical-based nature -- to where the cohomological mappable tracing, that is of the projected trajectory that is of the physical memory of the kinematic-related activity of such so-stated given arbitrary eigenstates, will then tend to act through the basis of the spike, that is to here be related to the thus formed singularity, in such a manner as to here be not of a Yau-Exact nature.  This will occasionally be the case, whether the set of eigenstates that are here to be translated through, are what is here to be of either a Lagrangian-based Chern-Simons-related spike, and/or of a metrical-based Chern-Simons-related spike.  Yet, a Calabi-Yau manifold is said to tend to always be of a Yau-Exact manner, in the following way, when this is taken as a set of orbifold eigensets that are of the Lagrangian eigenbase of a Noether-based flow:  Discrete quanta of energy that are of a nature of the topological substrate of a Calabi-Yau nature, will always tend to bear holomorphic-based torsional eigenindices, that will bend in a hermitian-based manner, in all of the spatial dimensions that the said eigenstate that is here of a Calabi-Yau nature is moving through, as a holonomic substrate that is here to be projected through its directly corresponding Hamiltonian operand -- as a set of what will here tend to be Yau-Exact quanta of discrete eigenindices of energy -- whether or not the whole so-eluded-to topological substrate that is of the said holonomic eigenbase, that is to here be delineated through space over time, is to spike in a Chern-Simons-based nature or not, in either a Lagrangian-based nature and/or in a metrical-based nature. This is what tends to be the nature of the delineation of the Fourier-based translation, of what are to here be mass-bearing orbifold eigensets -- in so long as the directly affiliated Calabi-Yau manifold, that is kinematic in this case in its displacement, is of a Noether-based flow, over the correlative eigenbase of time.

No comments: