Some comments on the original Kaluza-Klein theory
type: Item
instance of: scholarly article
title: Some comments on the original Kaluza-Klein theory
zbMATH Open document ID: 0662.53064
DOI: 10.1007/BF02019519
author: Amjad Pervez Asghar Qadir
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: In this short note the authors criticise the original assumption of 5- dimensional Kaluza-Klein theory that the geodesic equation in five dimensions gives rise to the Newton-Lorentz equation of motion for a charged body in four dimensions. Actually the Lorentz force arises in four dimensions if the particle's velocity in the fifth dimension is constant and equal to charge to mass ratio; this is a very restrictive and unattractive assumption. Moreover, a constraint on the electromagnetic field in four dimensions follows from the geodesic equation in \(d=5\) under the assumption. The constraint cannot be satisfied for a general electromagnetic field and is not gauge-invariant.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83E15
Mathematics Subject Classification ID: 83C10
zbMATH DE Number: 4082468
zbMATH Keywords: Kaluza-Klein theory
zbMATH Keywords: geodesic equation
zbMATH Keywords: equation of motion
zbMATH Keywords: Lorentz force
zbMATH Keywords: electromagnetic field
reviewed by: Leszek M. Sokołowski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02019519
OpenAlex ID: W1977717670
description: scientific article; zbMATH DE number 4082468