Generalized relativity: A unified field theory based on free geodesic connections in Finsler space
type: Item
instance of: scholarly article
title: Generalized relativity: A unified field theory based on free geodesic connections in Finsler space
zbMATH Open document ID: 0958.53017
DOI: 10.1023/A:1003699106121
author: Thomas P. Storer
published in: International Journal of Theoretical Physics
publication date: 2001-01-01T00:00:00Z
review text: The author claims to have discovered a novel approach to the application of Finsler geometry to unified field theory starting with something he calls a geodesic connection. He seems to be unaware that this connection function is just a spray which can be simply related to various well-known Finsler connections such as those of Douglas, Barthel, or Berwald. An unfortunate form of the spray function is advocated which contains a term proportional to the tangent vector. This sort of nonlinear parametrization would imply that a velocity adds directly to the acceleration, a concept difficult to justify physically. The theory is applied with inconclusive results to the Randers metric.
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 83E15
zbMATH DE Number: 1548232
zbMATH Keywords: Finsler geometry
zbMATH Keywords: connections
zbMATH Keywords: sprays
zbMATH Keywords: Randers metric
reviewed by: Ralph G. Beil
MaRDI profile type: Publication
full work available at URL: a:1003699106121
OpenAlex ID: W48458139
description: scientific article; zbMATH DE number 1548232