2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118944The Xi-transform is a new spinor transform arising naturally in Einstein's general relativity. Here the example of conformally flat space-time is discussed in detail. In particular it is shown that for this case, the transform coincides with two other naturally defined transforms: one a two-variable transform on the Lie group SU(2, C), the other a transform on the space of null split octaves. The key properties of the transform are developed.51 pagesGeneral Relativity and Quantum Cosmologytext