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Non-Euclidean Geometries and Their Physical Interpretation

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A Mathematical Journey to Relativity

Part of the book series: UNITEXT for Physics ((UNITEXTPH))

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Abstract

At the end of this chapter, the big picture towards Relativity will emerge. Before discussing all the details and the proofs, we intend to sketch it now. The most known models for Non-Euclidean Geometry are the Poincaré disk model and the Poincaré half-plane model. Another related model, the exterior disk model, can be figured and presented. Two other models will be highlighted: the hemisphere model and the hyperboloid model. The first three models are connected among them by inversion.

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Correspondence to Wladimir-Georges Boskoff .

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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

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Boskoff, WG., Capozziello, S. (2020). Non-Euclidean Geometries and Their Physical Interpretation. In: A Mathematical Journey to Relativity. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-47894-0_6

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