Nonlinear Theory of Elementary Particles: I. Choice of Axiomatics and Mathematical Apparatus of Theory

Abstract

In the previous paper (http://prespacetime.com/index.php/pst/article/viewFile/14/11), which can be considered as an introduction to the nonlinear theory, we have shown that the Standard Model (SМ) is not an axiomatic, but an algorithmic theory. In the proposed article the simplest (minimal) axiomatics is examined from the point of view of the possible forms of its mathematical representation.