Relativity and Cosmology

   

Cantor Dust and the Physics of Dark Matter (Chapter 1)

Authors: Ervin Goldfain

We have recently conjectured that Dark Matter (DM) emerges from a statisticallyhomogeneous and isotropic Cantor Dust (CD) mass distribution described by a singularmultifractal measure [21-23]. The goal of this book is to show that leading DM paradigms—self-interacting, fuzzy, axion, and superfluid DM—emerge as effective descriptions ofprimordial CD. From this perspective, the multifractal representation of CD provides anultraviolet completion of DM phenomenology, unifying galactic dynamics, lensing, andlarge-scale structure while remaining consistent with cluster-scale constraints andexperimental observations

Comments: 11 Pages.

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[v1] 2026-01-14 17:54:25
[v2] 2026-01-23 20:36:40

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