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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: April 2017
Dedekind tessellation or circles all the way down
“Turtles all the way down” is an expression of the infinite regress problem in cosmology posed by the “unmoved mover” paradox. The metaphor in the anecdote represents a popular notion of the model that Earth is actually flat and is … Continue reading
Posted in Hyperbolic geometry, Mathematica, SU(1,1)
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Real magic – space-time in Lie algebra
We start with a partial recall of events as they transpired so far. A month ago we became hyperbolic. The post Getting hyperbolic started with this sentence: Without knowing it, during the last three posts (Our first field expedition, Our … Continue reading
Posted in Hyperbolic geometry, Quaternions, SU(1,1)
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Geodesics on the upper half-plane – parametrization
The last note ended with the following problem: Thus: geodesics are circles. Or better: straight lines are circles! In fact: half-circles, because their centers are on the x-axis, and our arena is only upper half-plane. Except that we have missed … Continue reading
Posted in Geometry, Hyperbolic geometry, SU(1,1)
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