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Twistor theory and the Einstein vacuum

Twistor theory provides a scheme with the potential for uniting general relativity with quantum mechanics in a more even-handed way than conventional approaches. Some recent work is described whereby general asymptotically flat (neither necessarily self-dual nor anti-self-dual) vacuum 4-spaces can be described within a new twistor-geometric formalism. A number of aspects of this construction remain conjectural, as of now, however.