Research

Jealous of hyperbolic fish
If you are a physicist jealous of hyperbolic fish living in Escher’s Circle Limit III, I have good news for you! The asymptotic geometry of space is hyperbolic if you want it to be.
Anıl Zenginoğlu
Jan 23, 2022 9 min read Research
Jealous of hyperbolic fish
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.
Anıl Zenginoğlu
Nov 6, 2021 10 min read Research
Special relativity as hyperbolic geometry
Hyperboloidal Holography
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 Research
Hyperboloidal Holography
How far is infinity?
Infinity may be closer than you think.
Anıl Zenginoğlu
Sep 8, 2021 6 min read Research
How far is infinity?