The Laplacian-Based mapping of the field partial that defines the translation sub-metric of a light-cone-gauge eigenstate increases in terms of the amplitude of its Hodge-Index-Based Ward-Volume over the course of an individual eigenmetric of BRST for a superstring that is not fully Lorentz-Four-Contracted. Such an increase may be described through a form of Clifford Algebra, since it involves a Clifford Expansion. The given arbitrary light-cone-gauge first-ordered eigenstate described here directly corresponds here to a 2-d superstring. During the course of the here mentioned eigenmetric of BRST, the Clifford-Ward-Based increase of Hodge-Index of the mentioned region translates with a homeomorphic and hermitian activity that may be mapped out non-trivially isomorphic in one manner -- or, if mapped out in another manner, the Laplacian chirality may be instead trivially isomorphic. Such a sequential series of mapping that happens over a Clifford Expansion that happens within a given arbitary sub-metric within the course of one iteration of BRST acts as a perturbation of shape over a duration in which the flow of integrated sub-Laplacian mappings here are smooth in terms of curvature in all of the derivatives that equal the number of dimensions that the here mentioned mapping is differentiating in during the said sub-metric that exists during the said iteration of BRST.
The mentioned field partial mapping -- in any given Laplacian "snapshot" that may be extrapolated -- is homeomorphic at any determinable cross-sectional circumference that may be mapped via any surface area that is conditionad accross the Ward topological flow of the related Ward Caucy static fractal angular momentum that defines any given extrapolation of the sequential framework of the here enlarging field partial. Sam Roach -- class of '89.
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