Remarks on mathematical structure of the Staruszkiewicz theory

TL;DR

This paper revisits the mathematical Weyl algebra formulation of the Staruszkiewicz quantum Coulomb field theory, discusses Lorentz group representations, and comments on recent structural statements about the theory.

Contribution

It provides a clearer exposition of the Weyl algebra model, introduces new insights into Lorentz group representations, and offers commentary on recent theoretical claims.

Findings

Clarified the Weyl algebra formulation of the theory

Presented new analysis of Lorentz group representations

Commented on recent structural assertions

Abstract

The purpose of this note is threefold: (i) to recall (with some points made more explicit) the mathematical Weyl algebra model formulation, given before, of the Staruszkiewicz theory of quantum Coulomb field; (ii) to add some new elements to the discussion of the representation of the Lorentz group within this model; (iii) to comment on some statements on the structure of the theory which appeared recently.