Finsler Prize 10.01.2008
NonCommercial Foundation for Finsler Geometry Research and Moscow Bauman State Technical University
establish the Prize for the solution of the following problem:
“Construct a unified geometrical theory of the gravitational and electromagnetic fields on the base of
the 4dimensional Finsler space with the BerwaldMoor metric, or prove the impossibility of such theory”.
The goal of the Constitutors of the Prize is to stimulate the research exploiting the hyper complex algebras as the universal codes of Geometry and Physics. First of all, the Constitutors are interested in the research connected with the polynumbers – the commutative associative algebras – as the natural generalizations of real and complex numbers preserving their main arithmetic properties. Recently, it turned out that the polynumbers are closely connected with various Finsler geometries [5]. These geometries are the generalizations of Riemannian geometries that are the base of General Relativity Theory and other modern geometric field theories. One of the polynumbers’ classes leads to the Finsler geometry with BerwaldMoor metric (ds^{4} =
dξ^{1}dξ^{2}dξ^{3}dξ^{4}) . Its basic invariants have the powers higher than two, and this makes the difference with the Riemannian and other common geometries. The change of the quadratic metric to the higher order one implies the qualitatively new geometrical ideas, and the Constitutors express the belief that this opens the unexpected and fruitful perspectives in fundamental Physics.
