Thomas angle via Clifford Algebra

27.01.2022 14:00 - 15:00

Helmuth Urbantke (U Wien)

Abstract: 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.

https://univienna.zoom.us/j/6540036841?pwd=SytyVkZJZzNyRG9lMm13ejlHeHRRUT09

 

 

Organiser:
AG Gravitationsphysik
Location:
Zoom Meeting