This paper by Savage, Searle and McCalman describes a program which uses the built in support for 4-vector/matrix operations on a programmable GPU to perform Lorentz transformations on relativistic 4-momentum vectors in real time. This allows a pixel shader to render relativistic effects such as Geometric Aberration, Doppler shift and the Headlight effect in response to user’s interaction. A program, “Real-Time Relativity”, has been written to demonstrate these effects. (Real-Time Relativity. C. M. Savage, A. C. Searle, L. McCalman. Physics ArXiv)