Quantum Physics

    

Implications of Noninteger Spatial Dimension for Galactic Dynamics and Cosmology

Authors: Yulia Larina

Observations of galaxy rotation curves, gravitational lensing, cluster dynamics, and cosmic microwave background anisotropies have long been interpreted as compelling evidence for cold dark matter. Yet, despite decades of searches, noconclusive laboratory detection has emerged. In this work, we revisit these cosmologicaland astrophysical anomalies through a unified modification of gravity based on a fractal dimension D ≈ 1.618 (the golden ratio). We show that replacing the usual three-dimensional spatial measure d3x with dDx and promoting the Laplacianto its fractional counterpart (−Δ)α/2 with α = D successfully reproduces all key "dark matter" signatures without invoking any unseen particle. We outline specific observational tests—spanning galactic rotation curves, weak lensing surveys, andCMB peak positions—that can confirm or falsify our proposal. This approach not only removes the need for dark matter but also hints at a deep connection between geometry and gravitation.

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[v1] 2025-04-20 00:18:46

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