Adhesion and the Geometry of the Cosmic Web
Johan Hidding, Rien van de Weygaert, Gert Vegter, Bernard J. T., Jones
TL;DR
This paper introduces a novel Lagrangian space formulation of the Cosmic Web's geometry, revealing geometric insights and connections between different tessellations that underpin cosmic structure formation.
Contribution
It presents a new geometric interpretation of the Adhesion model, linking Eulerian and Lagrangian spaces with Voronoi and Delaunay tessellations.
Findings
The Cosmic Web's spine emerges naturally from the Adhesion model.
A deep connection between Eulerian-Lagrangian and Voronoi-Delaunay tessellations is demonstrated.
The formulation offers new geometric insights into cosmic structure formation.
Abstract
We present a new way to formulate the geometry of the Cosmic Web in terms of Lagrangian space. The Adhesion model has an ingenious geometric interpretation out of which the spine of the Cosmic Web emerges naturally. Within this context we demonstrate a deep connection of the relation between Eulerian and Lagrangian space with that between Voronoi and Delaunay tessellations.
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