Next Article in Journal
Structures of Annulenes and Model Annulene Systems in the Ground and Lowest Excited States
Next Article in Special Issue
Positive Cosmological Constant and Quantum Theory
Previous Article in Journal
A Direct Road to Majorana Fields
Article Menu

Article Versions

Export Article

Open AccessArticle
Symmetry 2010, 2(4), 1810-1845; doi:10.3390/sym2041810

Introduction to a Quantum Theory over a Galois Field

Artwork Conversion Software Inc., 1201 Morningside Drive, Manhattan Beach, CA 90266, USA
Received: 18 August 2010 / Revised: 14 September 2010 / Accepted: 8 October 2010 / Published: 1 November 2010
(This article belongs to the Special Issue Quantum Symmetry)
Download PDF [286 KB, uploaded 1 November 2010]

Abstract

We consider a quantum theory based on a Galois field. In this approach infinities cannot exist, the cosmological constant problem does not arise, and one irreducible representation (IR) of the symmetry algebra splits into independent IRs describing a particle an its antiparticle only in the approximation when de Sitter energies are much less than the characteristic of the field. As a consequence, the very notions of particles and antiparticles are only approximate and such additive quantum numbers as the electric, baryon and lepton charges are conserved only in this approximation. There can be no neutral elementary particles and the spin-statistics theorem can be treated simply as a requirement that standard quantum theory should be based on complex numbers.
Keywords: quantum theory; Galois fields; elementary particles quantum theory; Galois fields; elementary particles
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Lev, F.M. Introduction to a Quantum Theory over a Galois Field. Symmetry 2010, 2, 1810-1845.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top