Unifying the Galilei relativity and the special relativity
type: Item
instance of: scholarly article
title: Unifying the Galilei relativity and the special relativity
zbMATH Open document ID: 1273.83011
DOI: 10.1155/2013/156857
published in: ISRN Mathematical Physics
publication date: 2013-10-08T00:00:00Z
review text: Summary: We present two models combining some aspects of the Galilei and the Special relativities that lead to a unification of both relativities. This unification is founded on a reinterpretation of the absolute time of the Galilei relativity that is considered as a quantity in its own and not as mere reinterpretation of the time of the Special relativity in the limit of low velocity. In the first model, the Galilei relativity plays a prominent role in the sense that the basic kinematical laws of Special relativity, for example, the Lorentz transformation and the velocity law, follow from the corresponding Galilei transformations for the position and velocity. This first model also provides a new way of conceiving the nature of relativistic spacetime where the Lorentz transformation is induced by the Galilei transformation through an embedding of 3-dimensional Euclidean space into hyperplanes of 4-dimensional Euclidean space. This idea provides the starting point for the development of a second model that leads to a generalization of the Lorentz transformation, which includes, as particular cases, the standard Lorentz transformation and transformations that apply to the case of superluminal frames.
Mathematics Subject Classification ID: 83A99
zbMATH DE Number: 6213822
Wikidata QID: Q58992752
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/156857
OpenAlex ID: W2159798535
cites work: Can special relativity be derived from Galilean mechanics alone?
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cites work: The lorentz transformation and absolute time
author: Alexandre Lyra
author: Marcelo Carvalho
description: scientific article; zbMATH DE number 6213822