Defining geometric algebra semantics

Abstract

This paper discusses the development of Open Math Content Dictionaries (CDs) for Geometric Algebra (GA) in support of efforts towards developing a Physics Markup Language (PML). This paper introduces the underlying principles of a PML. The background on the various bodies of knowledge that are being leveraged including markup languages, GA, and OpenMath are introduced. The approach for the creation of CDs specific to GA is presented with an amplifying example. Four GA CDs were constructed proving the capabilities for standardizing GA semantics and PML development.