Submitted:
25 April 2021
Posted:
26 April 2021
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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.
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