## A Physical Electron-Positron Model in Geometric Algebra

**Authors:** DT Froedge

This paper is to present a physical model of the Electron & Positron particles constructed as the interaction of two photons
The photons and subsequently a model of the Electron will be defined in the math of Geometric Algebra using, and expanding on the correspondence relations between GA and QM developed by Doran, & Lasenby [3]. The vector constructs defining the electromagnetic components of a quantum system can be extended to define the physical structure of a particle. By defining a complete physical vector boson i.e. the photon, in terms of a GA vectors, is straightforward to show that an electron can be modeled as an interaction of two such photons and has the known physical attributes of an electron. The attributes include mass, spin, & charge. A clear advantage of the model is the absence of infinities that are dealt with in QFT, by the process of renormalization. The infinities of a point electron is supplanted by two point vector bosons that do not have an infinity and operate under the rules of QFT.

**Comments:** 23 Pages. The second draft of an ongoing research project

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### Submission history

[v1] 2017-03-28 13:29:37

[v2] 2017-04-19 14:25:09

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