In this video, we are going to play around a bit with some equations of special relativity called the Lorentz Boost, which is the correct way to do a coordinate transformation at any speed. This particular transformation is important because it preserves the speed of light in all frames. We will see that this Lorentz Boost can be rewritten as a statement about split complex numbers which will make it clear that this Lorentz Boost represents a hyperbolic rotation in spacetime.
Share your thoughts in the comment section (also let me know if I blundered on any of the physics here).
Reference:
1. http://mathematics-abound.blogspot.com/2012/10/calculus-on-split-complex-plane.html