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The Mathematics of the Spinning Particle Problem

Theodore G. Erler IV
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Abstract

We introduce an original approach to geometric calculus in which we define derivatives and integrals on functions which depend on extended bodies in space--that is, paths, surfaces, and volumes etc. Though this theory remains to be fully completed, we present it at its current stage of development, and discuss it's connection to physical research, in particular its application to spinning particles in curved space.

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Theodore G. Erler IV. 1999-12-08. The Mathematics of the Spinning Particle Problem. https://arxiv.org/abs/gr-qc/9912024

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