Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

Abstract

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.

Keywords

Multifractals, measure theory, Rényi entropy, generalized dimension, geodesic trajectories, relativistic spacetime.

Subject

Computer Science and Mathematics, Geometry and Topology

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.