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Generalization of two-dimensional special relativity (Hyperbolic transformations and the equivalence principle)

TitleGeneralization of two-dimensional special relativity (Hyperbolic transformations and the equivalence principle)
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2008
AuthorsCatoni, F., Boccaletti D., Cannata R., Catoni V., Nichelatti E., and Zampetti P.
JournalFrontiers in Mathematics
Volume2008
Pagination161-168
ISSN16608046
Abstract

In Chapter 5 we have seen how hyperbolic trigonometry, introduced in the flat pseudo-Euclidean plane, has allowed us a complete treatment of accelerated motions and a consequent formalization of the twin paradox. In this second chapter concerning physical applications we shall see how the expansion from algebraic properties to the introduction of functions of hyperbolic variable allows an intriguing extension to general relativity of the symmetry of hyperbolic numbers, just introduced through special relativity. © 2008 Birkhäuser Verlag AG.

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URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-46949103209&doi=10.1007%2f978-3-7643-8614-6_10&partnerID=40&md5=d826b59f943159d18f7fa37a945a3d79
DOI10.1007/978-3-7643-8614-6_10
Citation KeyCatoni2008161