Date of Award

9-2025

Document Type

Thesis

Degree Name

Master of Science in Nuclear Engineering

Department

Department of Engineering Physics

First Advisor

Michael V. Pak, PhD

Abstract

We investigate the spin state of the electron-positron system positronium to determine experimental criteria that can identify a positronium anyon. Anyons have been posited to be the basis for a truly fault-tolerant quantum computer, but they have not been indisputably observed in experimental systems. Through the analysis of the fully relativistic symmetry group of fermions and bosons in three dimensions, we investigate the symmetry of its subgroups to determine that positronium in two dimensions behaves as a scalar with respect to rotations. We conclude that positronium in two dimensions has an arbitrary relative spin orientation of annihilation photons and only annihilates through the two photon channel.

AFIT Designator

AFIT-ENP-MS-25-S-007

Comments

An embargo was observed for posting this thesis.

Approved for public release (Distribution A), distribution unlimited. PA case number 88ABW-2025-0782

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