Sam Close
Electromagnetism is a very well-studied topic at this point, however, that does not mean there is not more to uncover, or more approaches to take.
Based on recent work, this project looks at electromagnetism in the language of differential geometry, in a simpler space than the four-dimensional spacetime we normally consider. In lower dimensions, one can split the regular mathematical objects we work with into different ‘forms’, which were blessed with the names of pasta in the aforementioned recent work.
These pastas are interesting to analyse, since they need not always obey causality which makes them unintuitive to our causal brains. Similarly, one can ask questions about these pastas interacting with one another: what does interaction mean, and what are the dynamics?
The project also delves into visualising these pastas pictorially, allowing for a pictorial way of solving electromagnetic problems.