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In GUTCP, all forms of matter and energy are modeled using the orbitsphere construct. An orbitsphere is a two dimensional sphere with three-dimensional extent, similar to a tiny superconducting basketball with an infinitely thin skin.

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The surface of the orbitsphere consists of moving charge, or current, composed into an infinite number of great circle current loops, arranged in a specific pattern described herein. Due to the nature of particle production, the surface represents a discontinuity in spacetime and therefore has zero thickness and may be properly modeled using the Dirac delta function, .

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