Relativity and Cosmology

    

Emergence of Classical Gravity from Continuous Spacetime Dimensions

Authors: Ervin Goldfain

We develop a geometric framework in which classical gravity emerges from primordial spacetime having continuous effective dimensions. Spacetime is modeled as an evolving multifractal structure, analog to the construction of Cantor Dust (CD), where the Hausdorff measure replaces ordinary volume. Two fundamental findings are uncovered, namely, 1) CD is directly tied to Dark Matter phenomenology; 2) Einstein-Hilbert formulation of General Relativity emerges as an effective action of CD.

Comments: 31 Pages.

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Submission history

[v1] 2026-01-20 22:12:57
[v2] 2026-01-26 14:42:11

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