Mathematical Physics

    

Four Spacetime Dimensions from Multifractal Geometry

Authors: Ervin Goldfain

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 speculate here that the generalized dimension of geodesic trajectories in General Relativity recovers the four-dimensionality of classical spacetime.

Comments: 15 Pages.

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Submission history

[v1] 2021-04-23 08:32:26
[v2] 2021-04-28 08:43:36
[v3] 2021-05-04 08:10:34
[v4] 2021-05-16 07:18:41

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