Helmuth Urbantke (Vienna): Thomas angle via Clifford Algebra

Donnerstag, 27. Jänner 2022 14:00

Zoom Meeting: univienna.zoom.us/j/6540036841

In this seminar, I derive McFarlane's formula for the Thomas Angle appearing in boost o boost = boost o rotation using Clifford Algebra.
To do this, I first remind how to generate boosts and rotations from reflections. The composition of the latter becomes particularly easy using Clifford(-Dirac) algebra.
Time permitting, I will illustrate the geometry of the situation in relativistic velocity space = hyperbolic 3-space, allowing to identify the Thomas angle with the defect of a geodesic triangle in that space.