Structure of Space and the Formalism of Relativistic Quantum Theory. III

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Abstract
The elastic scattering of two scalar particles having equal masses is considered in the formalism of relativistic quantum theory over a Galois field GF(q). The scattering function σ determining the cross section is introduced. It is determined by the geometrical relations of Euclidicity, to be imposed on observable 4‐momenta in a finite geometry. Thus the requirement of Euclidicity of observable 4‐momenta can be considered as the counterpart, in a finite geometry, of the requirement of the analyticity of the invariant amplitude used in conventional S‐matrix theory for the determination of the cross section.

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