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Solutions of the Zero‐Rest‐Mass Equations
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8.The value also gives a well‐defined null direction, although this would not arise from the integral (1.2) as given. To obtain null and algebraically special fields in a way similar to the above, but in which this exceptional null direction could also be represented, we would have to transform (1.2) suitably. It is in the transformation properties of (1.2) that the different spin values play a role. [Equation (1.2) is curiously oblivious to the value of s here!] The complete manifestly (conformally) covariant expression, of which (1.2) is a particular realization, requires the use of twistors.
9.T. Robinson, J. Math. Phys. 2, 290 (1960).
10.Note Added in Proof. Due to the delay in the publishing of this paper, this description has already appeared;
10.see R. Penrose, Intern. J. Theoret. Phys. 1, 61 (1968).
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