I have some questions concerning the nine geometries of the plane and their physical significance.(adsbygoogle = window.adsbygoogle || []).push({});

(Euclidean, Hyperbolic, Elliptical, Minkowski, anti-Minkowski, Galilean,

For starters, what are some of the limitations or problems we encounter when using Euclidean geometry in physics [special relativity(?)]? And how do other geometries fix this?

How do we derive other geometries from Projective Geometry? Like de Sitter, Minkowski, anti-euclidean geometry, etc.

Lastly, I read that some of these geometries can described using complex numbers. How so?

Please help!!

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# Cayley-Klein Geometries and physics!

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