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- Comment on “Could ordinary quantum mechanics be just fine for all practical purposes?” by Alexey Nikulov 2018/03/08
- Spinning Top – Space Odity 2017/05/28
- Geodesics of left invariant metrics on matrix Lie groups – Part 2 Conservation laws 2017/05/26
- Geodesics of left invariant metrics on matrix Lie groups – Part 1 2017/05/24
- Killing vectors, geodesics, and Noether’s theorem 2017/05/23
- SL2R as anti de Sitter space cont. 2017/05/15
- Becoming anti de Sitter 2017/05/14
- SL(2,R) Killing vector fields in coordinates 2017/05/11
- Riemannian metrics – left, right and bi-invariant 2017/05/09
- Riemannian metric on SL(2,R)- explicit formula 2017/05/08
- Riemannian metric on SL(2,R) 2017/05/07
- Parametrization of SL(2,R) 2017/05/06
- Curvature of the upper half-plane 2017/05/05
- Geodesics on upper half-plane factory direct 2017/05/04
- Einstein the Stubborn 2017/05/03
- Dedekind tessellation on the Poincaré disk 2017/05/02
- Dedekind tessellation or circles all the way down 2017/04/30
- Real magic – space-time in Lie algebra 2017/04/29
- Geodesics on the upper half-plane – parametrization 2017/04/28
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Open System – Ark's blog
Monthly Archives: March 2017
SU(1,1) parametrization
In the last post, while getting hyperbolic, we have met the Lie group SU(1,1) – the group of complex matrices of determinant one, and such that (1) where (2) and star is Hermitian conjugated matrix to It was … Continue reading
Posted in Hyperbolic geometry, SU(1,1), Uncategorized
12 Comments
Getting hyperbolic
Without knowing it, during the last three posts (Our first field expedition, Our second field expedition, The Third Expedition) we became hyperbolic. Hyperbolic and conformal. Conformal and relativistic, relativistic and non-Euclidean. How so? It will take us a while to … Continue reading
Posted in Geometry, Hyperbolic geometry, SU(1,1)
7 Comments
The Third Expedition
April 2000: THE THIRD EXPEDITION The ship came down from space. It came from the stars and the black velocities, and the shining movements, and the silent gulfs of space. …. “Mars!” cried Navigator Lustig. “Good old Mars!” said Samuel … Continue reading
Posted in Geometry, Mathematica
4 Comments
