Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry

arXiv Physics Wednesday 03 June 2026, 03:43 UTC By Johanna Barzen, Frank Leymann 1 min read

Key Points

arXiv:2606.02616v1 Announce Type: new Abstract: Background in General Relativity (e.g. black holes, wormholes, or spacetime models in general) is needed to comprehend more recent efforts around understanding quantum phenomena like entanglement (e.g. >>It from qubit<< as well as >>ER = EPR<<). The former in turn requires a lot of knowledge from differential topology and differential geometry. While this knowledge is available in very good mathematics textbooks, it is scattered i.e. quite a bunch of sources need to be consulted to acquire it. The goal of this contribution is to provide the major background in a single place; in this sense, this contribution is some sort of guided tour through the corresponding literature.

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Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry

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