Intrinsic Quantum Mechanics. Particle physics applications on U(3) and U(2)

TL;DR

This paper proposes a framework where quantum fields emerge from quantum mechanics on intrinsic configuration spaces modeled by Lie groups U(3) and U(2), connecting fundamental interactions and predicting measurable particle properties.

Contribution

It introduces a novel approach linking intrinsic quantum mechanics on Lie groups to particle physics phenomena, deriving key properties and spectra analytically, and suggesting experimental tests.

Findings

Derived proton spin structure function and magnetic moment.

Solved baryon mass spectra analytically.

Predicted experimental signatures for upcoming experiments.

Abstract

We suggest how quantum fields derive from quantum mechanics on intrinsic configuration spaces with the Lie groups U(3) and U(2) as key examples. Historically the intrinsic angular momentum, the spin, of the electron was first seen as a new degree of freedom in 1925 by Uhlenbeck and Goudsmit to explain atomic spectra in magnetic fields. Today intrinsic quantum mechanics seems to be able to connect the strong and electroweak interaction sectors of particle physics. Local gauge invariance in laboratory space corresponds to left-invariance in intrinsic configuration space. We derive the proton spin structure function and the proton magnetic moment as novel results of the general conception presented here. We hint at the origin of the electroweak mixing angle in up and down quark flavour generators. We show how to solve for baryon mass spectra by a Rayleigh-Ritz method with all integrals found analytically. We relate to existing and possibly upcoming experiments like LHCb, KATRIN, Project 8, PSI-MUSE and ILC to test our predictions for neutral pentaquarks, proton radius, precise Higgs mass, Higgs self-couplings, beta decay neutrino mass and dark energy to baryon matter ratio. We take intrinsic quantum mechanics to represent a step, not so much beyond the Standard Model of particle physics, but to represent a step behind the Standard Model.