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The Central Programme of Twistor Theory

Chaos, Solitons & Fractals, 1999
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Twistor theory and quantum mechanics

Il Nuovo Cimento B Series 11, 1975
Quantization in twistor theory is compared with ordinary quantization. We first summarize the twistor theory of Penrose. Then we rewrite the commutation rules [pμ,xμ]=−4i in twistor notation. By comparison these two theories are shown to disagree. The agreement is possible by introducing a non-Hermitian position operator.
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Another philosophical look at twistor theory

European Journal for Philosophy of Science
Gregor Gajic, Nikesh Lilani, James Read
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Twistor theory

Contemporary Physics, 1992
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TWISTORS IN FIELD THEORY

1995
Frauendiener, J., Tsun, T.
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Bi-twistors: An extension of twistor theory for general spacetimes

International Journal of Modern Physics D
Twistor theory was initially developed to describe the geometry of Minkowski spacetime in terms of its null geodesics. The natural generalization to curved spacetimes requires the ubiquitous existence of alpha-planes, this requiring the Weyl curvature to be anti-self-dual, which for a real spacetime implies conformal flatness.
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