It can be used for pretty much anything involving geometry, vectors, rotations, differentiations, etc
For example, quantum computing, automatic differentiation, differential geometry, algebraic forms, invariant theory, electric circuits, wave scattering, spacetime geometry, relativity, computer graphics, photogrammetry, and much more.
Currently, I am creating this package to learn geometric algebra itself, since I was not taught this subject and nobody explained it to me or working with me. Therefore, I am just learning it from scratch.
My goal is to implement a multi-dimensional continued fraction algorithm for special functions and also to solve the Navier-Stokes and Maxwell equations.
However, since I am somebody interested in the foundations of pure mathematics, the Applied Math aspect takes a back seat for me. My primary goal is to explore the foundations of mathematics, to make a better language for expressing complicated geometric scientific problems. In order to achieve this, I must make sure that the foundations are absolutely correct and highly extensible for many purposes. This is why I am not using
Grassman for specific applications yet, to focus on foundations.
In the long-term future, I imagine that this kind of mathematics could become very central to most scientific and engineering research applications; however, it is still in early stages of development.
I would be excited to see what other people might want to do with it, there are countless possibilities.
So in conclusion, I am mainly focusing on researching the foundations of mathematics and how to combine various areas of math into a unified and efficient geometric algebra framework. In order to apply this in the future, I am doing the necessary work of constructing the underlying foundations.
In the future, I will have applications such as quantum computing and partial differential equations.