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It is pointed out that the wave equations for any upper-lower one-indextwistor fields which take place in the frameworks of the Infeld-van der Waerden{\gamma}{\epsilon}-formalisms must be formally the same. The only reason forthe occurrence of this result seems to be directly related to the fact that thespinor translation of the traditional conformal Killing equation yields twistorequations of the same form. It thus appears that the conventional torsionlessdevices for keeping track in the {\gamma}-formalism of valences of spinordifferential configurations turn out not to be useful for sorting out thetypical patterns of the equations at issue.

advances in applied clifford algebras

Absence of Differential Correlations Between the Wave Equations for  Upper-Lower One-Index Twistor Fields Borne by the Infeld-van der Waerden  Spinor Formalisms for General Relativity