Energy renormalization and integrability within the massive neutrinos model

TL;DR

This paper develops a model of massive neutrinos based on Snyder noncommutative geometry, demonstrating energy renormalization and integrability, with implications for high energy physics and astrophysics.

Contribution

It introduces a partially developed massive neutrinos model from Snyder noncommutative geometry, showing energy renormalization and integrability.

Findings

Masses of Weyl fields lead to consistent noncommutative geometry

Model yields energy renormalization for relativistic particles

Exact integrability demonstrated within the model

Abstract

In this paper the massive neutrinos model arising due to the Snyder noncommutative geometry, proposed recently by the author is partially developed. By straightforward calculation it is shown that the masses of the chiral left- and right-handed Weyl fields treated as parameters fixed by experiments, lead to the consistent physical picture of the noncommutative geometry, and consequently yield renormalization of an energy of a relativistic particle and exact integrability within the proposed model. This feature of the model in itself both defines and emphasizes its significance and possible usefulness for both theory as well as phenomenology for high energy physics and astrophysics.