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Notes
See Newman and Winicour (1974), Tod and Perjés (1977), Tod (1975), and Tod (1977).
Cf. Feynman, Kislinger, and Ravndal (1971), particularly their formula 4a.
See Penrose and MacCallum (1972), p. 308—where formula (3.3.11) first appears for further discussion.
This result has a long and interesting history, to which many individuals—Penrose, Perjés, Sparling, Hodges, and Tod, to name a few—have contributed. The twistor internal symmetry groups were being discussed extensively as early as the Spring of 1973—although they were not being called “internal symmetry groups” yet, at that time—in seminars at Birkbeck College, London. Theorem 3.4.14 was conjectured during that period—and believed by most of us to be valid—although rigorous justification was not forthcoming until 1977 by Penrose and Sparling (for the case of infinitesimal transformations) and 1978 by Sparling (for the general case). Early references to the twistor internal symmetry groups include Penrose (1975a), pp. 328–329; Penrose (1975b); and Perjés (1975).
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(1979). Massive systems and their internal symmetries. In: Hughston, L.P. (eds) Twistors and Particles. Lecture Notes in Physics, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012345
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DOI: https://doi.org/10.1007/BFb0012345
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