finsler geometry, hypercomplex numbers and physics
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Chernov Prize
10.01.2008

Finsler Prize
10.01.2008

Non-Commercial 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 4-dimensional Finsler space
with the Berwald-Moor 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 poly-numbers – the commutative associative algebras – as the natural generalizations of real and complex numbers preserving their main arithmetic properties. Recently, it turned out that the poly-numbers 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 poly-numbers’ classes leads to the Finsler geometry with Berwald-Moor metric (ds4 = dξ1234). 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.

The third students competition
30.04.2006

In 2006 the third All-Russia competition of student’s abstracts on a theme
“Hypercomplex numbers and their relation with the geometry of linear Finsler Spaces” appears.

The purpose and conditions of competition:

Second Student Competition
15.06.2005

The second student competition
25.10.2004

In 2005 the second All-Russia competition of student’s abstracts on a theme
“Hypercomplex numbers and their relation with the geometry of linear Finsler Spaces”
appears.

The purpose and conditions of competition:


25.10.2004


25.10.2004


13.10.2004

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