A slice perpendicular to the null direction in the diagram about the observer horizon below looks exactly like this complement rotation I found in projective geometric algebra.

Source

• URL: https://x.com/EricLengyel/status/1822461385051422912
• Author: Eric Lengyel (@EricLengyel)
• Posted: 2024-08-11 02:33:48

Thread

1/ @EricLengyel

A slice perpendicular to the null direction in the diagram about the observer horizon below looks exactly like this complement rotation I found in projective geometric algebra. I’d really like to connect these together and understand the physical significance.

2/ @JohnMeuser

@EricLengyel

spacetime algebra
https://en.wikipedia.org/wiki/Spacetime_algebra

3/ @EricLengyel

I’m working with projective spacetime geometric algebra (PSTGA), which has an extra dimension compared to the STA in that article. PSTGA is a model of the Poincaré group and its complement, the latter of which contains the motion in my diagram above. These are not part of STA.