Discrete algebraic path integrals
We will entertain the idea that nature could be represented by nothing more than an algebra. From algebraic expressions, it may then be possible to find physical concepts such as causality, particles, and irreversible time.
Finally, we will focus on certain special algebras, constructed from the division algebras, R, C, H, and O. From CxH, we will show how to build all of the Lorentz representations of the standard model of particle physics. From CxO, we will show how to find all of the SU(3)c representations corresponding to three generations of quarks and leptons.
This talk will assume as little background knowledge as possible; students are more than welcome.