Relativistic De Broglie matter wave contains SU(n) symmetry

TL;DR

This paper demonstrates that relativistic matter waves exhibit SU(n) symmetry, with two-particle systems showing SU(2) and three-particle systems showing SU(3), providing insights into particle interactions like quarks and gluons.

Contribution

It reveals the SU(n) symmetry properties of relativistic matter waves and explores their applications to weak and strong interactions in particle physics.

Findings

Relativistic two-particle matter waves contain SU(2) symmetry.

Relativistic three-particle matter waves contain SU(3) symmetry.

Results align well with experimental data.

Abstract

We show that the relativistic matter waves of two particle system contains the SU(2) symmetry; the relativistic matter waves of three particle system contains the SU(3) symmetry. Therefore, the relativistic matter wave is suitable for describing many-particle system such as quarks or gluons etc that are engaged with implicated symmetry problems. The weak interaction and strong interaction are investigated by using the relativistic de Broglie matter wave with SU(n) symmetry. Our results agree well with experiments. This work is to re-discover and re-explore de Broglie matter wave with the SU(n) symmetry and its applications to particle physics. This work was divided into two parts: Chapter 1, Relativistic de Broglie matter wave; Chapter 2, Factory of prosthesis.