Null and Pseudonull Data for Scalar Fields

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Abstract
In this paper, a projective geometric formalism for the description of the conformal compactification of Minkowski space and of its invariance groups is developed. It is then modified to include the description of Minkowskian vectors, in particular, the momentum space. The d'Alembert equation is solved by constructing its solutions from global null data, completely arbitrary numbers assigned to the null cone at infinity. The Klein‐Gordon equation, solved by the same method, leads to the concept of pseudonull data. Pseudonull data are also arbitrary numbers, but they are assigned to hyperboloids at a suitably defined infinity outside the conformal compactification of the Minkowski space.

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