The Cosmic Web: Fractals in the Architecture of the Universe ✎ express

Original: "Fractal properties of the cosmic web"
· Jaan Einasto
arXiv:2608.04694v1 · 2026-08-05 · arXiv non-exclusive · independent analysis · 1 min
Galaxies and voids weave a pattern that repeats itself across different scales.

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The night sky looks like a random scattering of stars. But zoom out to enormous distances, and the chaos disappears. Galaxies gather into long filaments and flat walls, with colossal voids gaping between them — cosmic voids. This structure is called the cosmic web.

To describe such a complex system, you can't just look at a picture. You need a mathematical tool that captures the repetition of the pattern. The new study uses fractal dimension — a number that shows how densely objects fill space. For a straight line, it's one; for a smooth surface, two; for the cosmic web, it lies somewhere in between. The author explains how to extract this value from the angular and spatial distribution of galaxies, relying on the standard ΛCDM model (Lambda-CDM, where Lambda accounts for dark energy, and cold dark matter provides the web's scaffolding).

The fractal dimension of the cosmic web changes with scale. On small scales, matter clumps around galaxies; on large scales, it's almost uniformly distributed, like an inflating balloon.

This approach bridges two worlds: what we see in flat sky images and the three-dimensional map built from redshifts (the shift of light toward red due to cosmic expansion). It's like measuring a tree's shape from both its shadow and its full crown. The result isn't just a picture: it's an understanding of how dark matter pulls ordinary matter into filaments, while dark energy pushes voids apart, making the web grow.

The fractal dimension of Norway's coastline is about 1.5, while that of the cosmic web is roughly 2.0—meaning it fills space almost like a smooth surface, even though it's made of separate galaxies.

Scientists
Adam RiessBrian SchmidtEdwin HubbleGeorges LemaîtreMaarten SchmidtSaul Perlmutter
Concepts
large-scale structure of the universe fractal three dimensional map galaxy distribution galactic plane cosmic structure formation fractal dimension lambda cdm cold dark matter mosaic dwarf galaxy constellation galactic thin disk filament cosmological data cosmology void catalog correlation function spatial curvature