Thursday, November 12, 2009

Orientable & Non-Orientable World-Sheets

When a two-dimensional superstring travels transversely though space as a photon via Noether Flow, it forms a three-dimensional world-sheet that has an annulus in its center. An annulus is a hole that acts as an empty shaft. Such a torroid may travel straight, if in a vacuum, in the direction that it is propagated in. When a superstring bears a world-sheet that is straight, it bears a Rham trajectory. When one Rham world-sheet conjoins upon another Rham world-sheet that is collinear to the first Rham world-sheet, the cohomology formed by this is known as a Rham cohomology. The annulus of a three-dimensional world-sheet is Njenhuis to the world-sheet itself, since it is variant and unacted upon by the trajectory of the associated two-dimensional superstring. When a given superstring differentiates in a conformally invariant manner, yet tending to move in a specific directoralization via the integration of the Fourier Series that defines the initial torroidal structure's relative Laplacian through a Lagrangian that is unitized, the given two-dimensional superstring will then propagate as a unit that obtains a mass index under the speed of light in a Noether manner in a Rham manner to form a Rham world-sheet that exists as a unitized and thus an orientable world-sheet. The difference between the Rham world-sheet produced by the trajectory of a photonic bosonic superstring, and the Rham world-sheet produced by the trajectory of another sub-atomic particle that is a boson traveling just under light speed, is that a photonic bosonically based world-sheet will be a cylinder shaped with an annulus while a very fast (just under light speed) subatomic particle that is not a photon, will travel as an organization of an average of more than one iteration per general transversel locus that is propagated transverselly via a Lagrangian to form a torroid that is shaped like a doughnut, and is an integration of many of such doughnut shapes of such through a specific direntoralization through that Lagrangian. Photons, moving straight and transversely through space, also travel as a Lagrangian through a Lagrangian, yet with more of a flat cylindrical phenomena with an annulus shape instead of a doughnut shape that is propagated with an annulus. When a superstring is orientable, its world-sheet is orientable. When a superstring and its world-sheet is orientable, it travels under light speed Or at light speed, depending on if it is a sub-atomic particle that is Noether other than light OR light in a medium besides a vacuum OR if it is at light speed exactly -- the transversel kinematic differentiation of a photon through a vacuum. When a superstring is tachyonic, it is unorienable. So, when a superstring is tachyonic, it is unorientable. So, when a superstring is tachyonic, its world-sheet is unorientable. This produces (tachyonic flow produces) an Imaginary shift in the relations between world-sheets that are not Real Reimmanian because it skips Noether planes. A skipped Noether plane is possible because superstrings travel through ultimon flow in-between each iteration. Each time a supersting is detected, it has traveled basically around the ultimon.


Iteration Time = (hs+ihs).

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