Zur Geometrie der Zahlen

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Quaternionen und Semivektoren

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Über die Krümmung einer zweidimensionalen Mannigfaltigkeit im vierdimensionalen Euklidischen Raum

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The return of a static universe and the end of cosmology

We demonstrate that as we extrapolate the current ΛCDM universe forward in time, all evidence of the Hubble expansion will disappear, so that observers in our “island universe” will be fundamentally incapable of determining the true nature of the universe, including the existence of the highly dominant vacuum energy, the existence of the CMB, and the primordial origin of light elements. With these pillars of the modern Big Bang gone, this epoch will mark the end of cosmology and the return of a static universe. In this sense, the coordinate system appropriate for future observers will perhaps fittingly resemble the static coordinate system in which the de Sitter universe was first presented. Fifth Award in the 2007 Essay Competition of the Gravity Research Foundation.