Translations-Rotations-Boosts (Poincaré Group)
- From: Peter Christensen <pc@xxxxxxxxxxxxxxxxxxx>
- Date: Sat, 21 Jul 2007 00:35:12 -0700
In the full 4D case, there are:
4 Translations (x, y, z, t)
3 Rotations (3D-space)
3 Boosts (From v_x, v_y, v_z)
But I'm interested in only a case with '3D', by which I mean time (t)
and two spatial dimensions (x, y). There should be:
3 Translations (t,x,y)
1 Rotation: (x,y)-plane
2 Boosts (from v_x and v_y)
At last: In the '2D' case (flat-spacetime) there are only:
2 Translations (t, x)
0 Rotations (only one spatial parameter)
1 Boost (from v_x)
Agree?
PC
.
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