How to draw Penrose diagrams
This is the first installment of a three-piece series on Penrose diagrams and the associated conformal compactification procedure. This post is a technical how-to describing how I draw quantitatively accurate Penrose diagrams to illustrate the causal structure of time surfaces using free and open-source software.
Sep 1, 2022
10 min read
Jealous of hyperbolic fish
If you are a physicist jealous of hyperbolic fish living in
Circle Limit III
, I have good news for you! The asymptotic geometry of space is hyperbolic if you want it to be.
Jan 23, 2022
9 min read
Special relativity as hyperbolic geometry
Hyperbolic geometry provides a natural setting for special relativity. This viewpoint simplifies calculations, provides insights into the theory, and has applications beyond special relativity in machine learning and general relativity.
Nov 6, 2021
10 min read
Minkowski spacetime in hyperboloidal coordinates takes the form of a stack of hyperbolic manifolds with the same spatial geometry as anti-de Sitter spacetime. Is there a hyperboloidal realization of holography for isolated systems?
Oct 7, 2021
11 min read
How far is infinity?
Infinity may be closer than you think.
Sep 8, 2021
6 min read