Representation and Gauge Freedom in Electromagnetism and Acoustics	

Lucas Burns -- Chapman University	

In acoustic and electromagnetic phenomena, the concept of gauge freedom plays
a pivotal role in understanding the underlying physics and its observable
effects. Our recently published work extends traditional scalar and vector
potential representations of measurable fields to multivector-valued gauge
potentials, with each representation grade naturally coupling to distinct
types of physical source. Notably, combining the possible potential
representations into multi-graded representations further constrains the
traditional gauge freedoms of both theories. This talk explores the physical
relevance of each of the allowed potential fields in each theory and discusses
the interplay between representational and gauge freedoms.