The spacetime described in Einstein’s special theory of relativity is a very beautiful geometry. In particular, there is a deep relationship between the Lorentz group and the Möbius group, which is an important hint that complex geometry is somehow fundamental. One can see more of this in the projective geometry of twistor space, which is related to spacetime by the Klein correspondence, a piece of classical algebraic geometry itself worthy of independent study. The more advanced ideas here are at the level of a masters project.
- Rindler, W 1991 Introduction to Special Relativity Oxford University Press.
- Penrose, R 1959 The apparent shape of a relativistically moving sphere Proc. Camb. Phil. Soc. volume 55, pages 137-139.
- Huggett, S and Keast, S The Penrose Transform unpublished
Supervisor: Professor Stephen Huggett