Froth across the Universe Dynamics and Stochastic Geometry of the Cosmic Foam

TL;DR

This paper reviews the properties, dynamical origins, and stochastic geometric modeling of the cosmic foam, emphasizing its formation, evolution, and implications for galaxy clustering within the large-scale structure of the universe.

Contribution

It introduces a geometric and stochastic framework, highlighting the role of tidal gravitational fields and Voronoi tessellations in understanding cosmic web formation.

Findings

Cosmic foam exhibits unique geometric and stochastic properties.

Voronoi tessellations effectively model the cosmic web.

Tidal fields influence large-scale matter distribution.

Abstract

A review on the properties and dynamical origin and nature of the cosmic foam, the tenuous space-filling frothy network permeating the interior of the Universe. We discuss the properties of this striking and intriguing pattern, describing its observational appearance, and seeking to elucidate its dynamical origin and nature. An extensive discussion on the gravitational formation and dynamical evolution of weblike patterns puts particular emphasis on the formative role of the generic anisotropy of the cosmic gravitational force fields. These tidal fields play an essential role in shaping the pattern of the large scale cosmic matter distribution. Special attention is put on a geometrical and stochastic framework for a systematic evaluation of its fossil information content on the cosmic structure formation process. Its distinct geometric character and the stochastic nature provides the cosmic web with some unique and at first unexpected properties. The implications for galaxy clustering are discussed on the basis of its relevant branch of mathematics, stochastic geometry. Central within this context are Voronoi tessellations, which have been found to represent a surprisingly versatile model for spatial cellular distributions.