On the World function and the relation between geometries
2006jaz | Garas`ko G. I.  // Electrotechnical Institute of Russia, Moscow, gri9z@mail.ru}

It is shown that the World function can be regarded as a link between the qualitatively different geometries with one and the same congruence of the world lines (geodesics). If the space in which the World function is defined is a polynumber space, then the hypothesis of the analyticity of the vector field of the generalized velocities of the world lines lead to the strict limitations on the structure of the World function. Main result: Minkowskian space and polynumber space correspond to the same physical World.

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