A sprinkling of hybrid-signature discrete spacetimes in real-world networks

Astrid Eichhorn; Martin Pauly

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arXiv · 2107.07325

A sprinkling of hybrid-signature discrete spacetimes in real-world networks

Astrid Eichhorn·Martin Pauly

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Abstract

Many real-world networks are embedded into a space or spacetime. The embedding space(time) constrains the properties of these real-world networks. We use the scale-dependent spectral dimension as a tool to probe whether real-world networks encode information on the dimensionality of the embedding space. We find that spacetime networks which are inspired by quantum gravity and based on a hybrid signature, following the Minkowski metric at small spatial distance and the Euclidean metric at large spatial distance, provide a template relevant for real-world networks of small-world type, including a representation of the internet's architecture and biological neural networks.

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cond-mat.dis-nn gr-qc physics.soc-ph

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Astrid Eichhorn, Martin Pauly. 2021-07-15. A sprinkling of hybrid-signature discrete spacetimes in real-world networks. https://arxiv.org/abs/2107.07325

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