Noncontinuous Minkowskian spacetime
type: Item
instance of: scholarly article
title: Noncontinuous Minkowskian spacetime
zbMATH Open document ID: 0826.53078
DOI: 10.1007/BF00671603
author: Andreas Kull
author: Rudolf A. Treumann
published in: International Journal of Theoretical Physics
publication date: 1995-11-14T00:00:00Z
review text: Let a smooth manifold be defined as a pair \((M,C)\) where \(C\) is a family of real functions on a set \(M\), satisfying the axioms: (i) \(C\) is closed with respect to localization; (ii) \(C\) is closed with respect to composition of the set \(\varepsilon\) of all \(C^\infty\)-function on \(\mathbb{R}^n\); (iii) \(M\) is locally diffeomorphic to \(\mathbb{R}^n\). The pair \((M,C)= \alpha\) is called \(d\)-space. The authors consider \(M = \left\{ {n\over m} (r^2 + s^2), {n\over m} (r^2 - s^2)\right\} \subset \mathbb{R}^2\) \((r, s, n, m \in \mathbb{Z} \setminus \{0\})\) and the Lorentz \(d\)-space \((M, C, G)\) where \(G\) is the scalar product. The Lorentz \(d\)-space \((M, C, G)\) possesses the important properties of special relativity, and it is interpreted in the context of general relativity.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 763190
zbMATH Keywords: \(d\)-space
zbMATH Keywords: Lorentz \(d\)-space
reviewed by: Petre Stavre
MaRDI profile type: Publication
cites work: Structure of random discrete spacetime
cites work: Cellular space-time and quantum field theory
cites work: Singular space-times
cites work: A generalization of manifolds as space-time models
cites work: Quantized Space-Time
full work available at URL: https://doi.org/10.1007/bf00671603
OpenAlex ID: W1977274250
description: scientific article; zbMATH DE number 763190