Multi-particle Correlations in Quaternionic Quantum Systems

TL;DR

This paper explores how quaternionic quantum mechanics affects multi-particle measurement outcomes, proposing that four-particle interferometry could detect quaternionic curvature, unlike two-particle systems which align with standard quantum mechanics.

Contribution

It demonstrates that multi-particle interferometry can reveal quaternionic curvature effects, providing a potential experimental test for quaternionic quantum theories.

Findings

Four-particle experiments can detect quaternionic curvature effects.

Two-particle systems yield results identical to standard quantum mechanics.

Quaternionic curvature influences multi-particle measurement outcomes.

Abstract

We investigate the outcomes of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multi-particle interferometry experiment using a correlated system of four nonrelativistic, spin-half particles has the potential to detect the presence of quaternionic curvature. Two-body systems, however, are shown to give predictions identical to those of standard quantum mechanics when relative angles are used in the construction of the operators corresponding to measurements of particle spin components.