“NON-STANDARD” FORMALISM OF QUANTUM THEORY I: MASS SPECTRUM

In quantum theory, there are both point and integral objects. In this case, the computational technique is based exclusively on set-theoretic structures associated with the point model of the continuum. The transition to integral dynamic structures makes it possible to develop new methods that allow us to obtain useful results, in particular, to derive the formula for the spectrum of a certain class of particles: m = me ( l + k /2 m )( ĺ + s /2 t ). This formula is a generalization of the formula obtained by V.V. Varlamov in 2017. In general, such an approach is consonant with the concept of the so-called. “non-standard analysis”, in which “number-monads” play a key role.