Monday, November 16, 2009

Post One of More About Orbifolds

An orbifold may act as a toroidal-disc shell, an orbifold may act as a toroidal-spherical-shell, an orbifold may act as a Hilbert-toroidal-disc, or an orbifold may act as a Hilbert-Toroidal sphere. An orbifold toroidal disc shell is an orbifold that consists of one-dimensional superstrings that involve one universe within its Ward boundaries. Such an orbifold has a gauge-field Njenhuity that is directoralized of cohomological mini-strings that "yarn" together between opposite subtended relative poles based on a translation of theta to Phi multidimensional polar radial delineations, so that the associated orbifold bears an incomplete mobiaty. A complete mobiaty here would undo space-time-fabric, and is impossible here because the given interialized directoralization of these substringular gauge-fields here will always bear an abelian eigenstates no matter whether the associated superstrings along the periphery of this orbifold have a non-abelian or an abelian light-cone-gauge topology in and of themselves. A non-abelian gauge-field eigenbasis at geometrically euler positioning taken Laplacianly, with a partially abelian geometry "welding" the abelian and nonabelian eigenbasis of such to form a stratum that may be interacted upon via the Ricci Scalar with the proper Ante-De-Sitter/De-Sitter mode of operations. This webbing is a translational group operator of gauge-action that hyperbollically transfers point-fill to the operand of the Fourier Series that defines the refurbishment of the space-time-fabric of the periphery of such a toroidal-disc-shell, taken as a regulation group action of the only intertwining that an Imaginary charge under the given Ward conditions may effect to allow for such a Conformally Invariant Series commutation. Such activity also happens with toroidal spherical shells, yet only non-abelianly with toroidal discs and toroidal spheres of the kind that define their respective orbifolds.

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