ABSTRACT

This chapter discusses the essential point of the underlying mathematical theory of both Einstein’s ideas and Born-Infeld electrodynamics made by Nikolai Alexandrovich Chernikov along with the consequences of the unitary theory which are fundamental for the knowledge in general. The matter ‘fills’ the space of our intuition, which is three-dimensional. However, matter cannot fill but a three-dimensional space, and the manner of filling leads to a Riemannian manifold. The chapter explains Chernikov's theory in the three-dimensional case. From the point of view of the matrix algebra, the three-dimensional case of space is detaching among others by a specific property that cannot be found in general for any other dimension. The fundamental tensor of the three-dimensional space should contain the whole information necessary to transform the space into a three-dimensional phase space.