Article Version 1 Preserved in Portico This version is not peer-reviewed
Four Spacetime Dimensions from Multifractal Geometry
Version 1 : Received: 25 April 2021 / Approved: 26 April 2021 / Online: 26 April 2021 (10:56:12 CEST)
How to cite: Goldfain, E. Four Spacetime Dimensions from Multifractal Geometry. Preprints 2021, 2021040654. https://doi.org/10.20944/preprints202104.0654.v1. Goldfain, E. Four Spacetime Dimensions from Multifractal Geometry. Preprints 2021, 2021040654. https://doi.org/10.20944/preprints202104.0654.v1.
As paradigm of complex behavior, multifractals describe the underlying geometry of self-similar objects or processes. Building on the connection between entropy and multifractals, we show here that the generalized dimension of geodesic trajectories in General Relativity coincides with the four-dimensionality of classical spacetime.
Multifractals, measure theory, Rényi entropy, generalized dimension, geodesic trajectories, relativistic spacetime.
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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