Electrodynamics of Electrons and Brains

David Hestenes, Arizona State University, USA

Maxwell’s equations for material media are formulated in terms of Geometric Algebra and related to differential forms. It will be argued that these equations are completely general and applicable to all phenomena in the Universe at all scales. Topological and metrical aspects of electromagnetic fields will be clearly distinguished, and their sources will be attributed to topological defects in a universal vacuum. Explicit forms for vacuum defects characterizing electron charge and spin will be given, and their generalization to all elementary particles will be discussed. Finally, application to understanding electromagnetic functioning of the brain will be discussed.

A Primer on Geometric Algebra

David Hestenes, Arizona State University, USA

We will discuss a new interactive version of a Primer on GA available on the web: $$ \href{http://geocalc.clas.asu.edu/GA_Primer/GA_Primer}{http://geocalc.clas.asu.edu/GA\_Primer/GA\_Primer/} $$ Please look at it before the session and come with questions to ask. The original Primer is a 32-page workbook introduction to Geometric Algebra and some highlights of its applications in classical and relativistic mechanics. It is designed for use in an all day (6 hr.) workshop, so it is not a self-contained introduction. Rather, it requires a workshop leader who is fully conversant with GA to help participants unravel the intricacies of the workbook.