11–13 May 2026
University of Pittsburgh
US/Eastern timezone

The Geometric Scattering Algebra of Physical Space

11 May 2026, 14:30
15m
David Lawrence Hall 205, University of Pittsburgh

David Lawrence Hall 205, University of Pittsburgh

Speaker

Moab Croft (Illinois State University)

Description

The geometric Algebra of Physical Space (APS) has recently been used to explore the Constructive Standard Model (CSM) of particle physics. Namely, the spinor formalism of the APS was rigorously tied to the CSM via a tool called the Scattering Algebra (SA). Significant insights were discovered: That the CSM's spin spinors (massive helicity spinors) are matrix representations of the APS' Lorentz spinors (scaled Lorentz transformations); and that the CSM is connected to various formalisms through lightray spinor structure.

The language of the APS' geometry is simple and visualizable: All objects have straightforward geometric interpretations that can be drawn by hand and explained to someone with no background. This vastly improves the accessibility of the subject and is a first step to simplifying the field.

Authors

Moab Croft (Illinois State University) Neil Christensen (Illinois State University)

Presentation materials

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