Observability and Mathematics

1 Introduction

Today quantum Yang–Mills theory successfully works on the experimental field of elementary particle physics (for example, when researching the “mass gap” property), but its theoretical base is still unclear.

The book provides a new approach to the Yang–Mills theory, including interpretations of space, vector fields, and differential forms, generalization of Yang–Mills equations, proof of mass gap existence, reconsideration of the theory of matrix Lie groups and algebras. The novelty consists in replacing the infinity by observers, called the “Mathematics with Observers” theory. This new theory allows us to treat the classical Maxwell and Yang–Mills equations as stochastic equations. The currently open problem of the “mass gap ...