A Classification of Quantum Particles

Vu B Ho

A Classification of Quantum Particles

Vu B Ho *

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Abstract

In this work, by summarising our recent works on the differential geometric and topological structures of quantum particles and spacetime manifolds, we discuss the possibility to classify quantum particles according to their intrinsic geometric structures associated with differentiable manifolds that are solutions to wave equations of two and three dimensions. We show that fermions of half-integer spin can be identified with differentiable manifolds which are solutions to a general two-dimensional wave equation, in particular, a two dimensional wave equation that can be derived from Dirac equation. On the other hand, bosons of integer spin can be identified with differentiable manifolds which are solutions to a general three-dimensional wave equation, in particular, a three-dimensional wave equation that can be derived from Maxwell field equations of electromagnetism. We also discuss the possibility that being restricted to three-dimensional spatial dimensions we may not be able to observe the whole geometric structure of a quantum particle but rather only the cross-section of the manifold that represents the quantum particle and the space in which we are confined. Even though not in the same context, such view of physical existence may comply with the Copenhagen interpretation of quantum mechanics which states that the properties of a physical system are not definite but can only be determined by observations.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Vu Ho. 2018. "A Classification of Quantum Particles". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 18 (GJSFR Volume 18 Issue A9).

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GJSFR Volume 18 Issue A9

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification FOR Code: 020699

Submission ReceivedAugust 23, 2018
Peer Review Double Blind
Handling Editor
Accepted September 14, 2018
Published September 24, 2018

Version of record

v1.2

Issue date

October 1, 2018

Language

English

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Article Matrices

Total Score: 175

Country: Australia

Subject: Global Journal of Science Frontier Research

Authors: Vu B Ho (PhD/Dr. count: 0)

View Count (all-time): 288

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Publish Date: 2018 09, Mon

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