Special Issue: Selected Papers from the XXth International Workshop on Differential Geometric Methods in Theoretical Mechanics (Ghent, Belgium, 21 to 27 August 2005)No Access

THE STRUCTURE OF SPACE–TIME: RELATIVITY GROUPS

GIUSEPPE MARMO

Dipartimento di Scienze Fisiche, Università di Napoli "Federico II" and INFN, Sezione di Napoli, Complesso universitario Monte S. Angelo, Via Cintia — 80126 Napoli, Italy

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BRUNO PREZIOSI

Dipartimento di Scienze Fisiche, Università di Napoli "Federico II" and CNR-INFM, Unità di Napoli, Complesso universitario Monte S. Angelo, Via Cintia — 80126 Napoli, Italy

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https://doi.org/10.1142/S0219887806001272Cited by:5 (Source: Crossref)

Abstract

The structure of space–time is analyzed by introducing a coordinate-free formulation of reference frame. Relativity groups emerge through the notion of equivalent frames. By means of the notion of objective existence, we show that transformations connecting equivalent frames are either Lorentz or generalized Galilei.

Keywords:

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