Anyons in three dimensions with geometric algebra

TL;DR

This paper explores the application of geometric algebra to describe anyons in three dimensions, aiming to address unresolved issues in quantum mechanics by proposing a novel mathematical framework.

Contribution

It introduces a geometric algebra approach to model anyons in three dimensions, offering a new perspective on quantum phenomena.

Findings

Provides a geometric algebra formulation for 3D anyons

Suggests potential resolutions to longstanding quantum problems

Lays groundwork for future quantum theory developments

Abstract

Even though it has been almost a century since quantum mechanics planted roots, the field has its share of unresolved problems. It could be the result of a wrong mathematical structure providing inadequate understanding of the quantum phenomena.