Notes

Notes

Standalone pieces, read in any order.

• Cauchy-Riemann = Maxwell??! Part 1.July 2026

  Yep, you read the title correctly. Maxwell's equations are actually the CAUCHY-RIEMANN equations in Minkowski space. That is some weird shit.

• The Jacobian - Fortney §3.3July 2026

  Where does the Jacobian determinant come from? Here's a nice proof using the wedgeproduct of forms.

• Christoffel SymbolsJuly 2026

  What are Christoffel symbols, and why can we use their derivatives to measure curvature?

• The Power of Index NotationJuly 2026

  Index notation looks like a different language, but it makes life a lot easier when working with tensors. Here's an example of why.

• The Riemann Tensor - Fleisch §6.3, pp. 183–187July 2026

  The EFEs are just as much a statement about geometry as about gravity. Here, we look at how the Einstein tensor is built from the Riemann tensor, and how it measures curvature.