Has anyone done work on a projectivized version of Spacetime Algebra? I’m thinking of spaces with a signature like (1,3,1) or (3,1,1). The motivation would be so that the whole Poincare group (rotations, Lorentz boosts, and translations) could be represented by versors without the extra bits needed for a conformal picture. In other words, an algebra for flats in Special Relativity.
Working on a paper on that as we speak
i am also interested in this.
Waiting for it as well