From Zeldovich Approximation to Burgers’ equation: A Plausible Route to Cellular Automata Adhesion Universe

Abstract

Some years ago, Hidding et al. suggest that the emergence of intricate and pervasive weblike structure of the Universe on Megaparsec scales can be approximated by a well-known equation from fluid mechanics, the Burgers’ equation. The solution to this equation can be obtained from a geometrical formalism. The resulting Adhesion formalism provides deep insight into the dynamics and topology of the Cosmic Web. It uncovers a direct connection between the conditions in the very early Universe and the complex spatial patterns that emerged out of these under the influence of gravity. In the present paper, we describe a cellular automaton model of the Burgers’ equation, which can be investigated via a fast computer simulation. In the end, this suggests a Cellular Automata Adhesion Model of the Universe.

Links

PhilArchive

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Some applications of propositional logic to cellular automata.Stefano Cavagnetto - 2009 - Mathematical Logic Quarterly 55 (6):605-616.

Analytics

Added to PP
2024-01-08

Downloads
54 (#297,460)

6 months
54 (#85,299)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Florentin Smarandache
University of New Mexico

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references