self-similarity is a self-evident feature of structure in general- but how fundamental/deep/important is self-similarity? and how extensive/rigorous is self-similarity: are fractal structures simply a ubiquitous emergent quality of processes/form that pop up here and there- or can the Universe [or vacua] be wholly described as a fractal crystallization of equilibrating/anihilating forms out of some fundamental Chaos/Nothing?(adsbygoogle = window.adsbygoogle || []).push({});

if the universe can be described as a fractal structure is the hierarchy finite in one or both directions of the scale-axis and fundamentally discrete or could it simply seem discrete but be a true infinite/eternal fractal where planck-bits/ string-bits/ etc are really the vast quantized macro-structures of the "next-level down" in the cosmic hierarchy like galactic filimamentary walled voids [which seem to have a roughly quantized cellular structure http://www.anzwers.org/free/universe/universe.html ] or planck-scale brane-worlds or singularity networks which are woven together into the spin foam/ brane/ quantum superfluid aethyr/ etc/ etc/ etc :yuck: - and is our universe simply an infinitesimal region of a "particle" in the next level out? so could scale extend indefinitely/infinitely both micro and macro with all major structures like particles/stars/galaxies having the same basic cyclical structure? [ as is suggested by http://www.amherst.edu/~rloldershaw/ and http://www.fractaluniverse.org/index.php and of course Mandelbrot himself ]

and finally- even if some of this is "true" is this all just an anthropocentric aesthetic observation or a deep principle of nature? is it just a modern "turtles all the way down" metaphor- or maybe an infinite fractal set of turtles within turtles makes sense?!

my view: I think self-similarity may exist on an indefinite scale and that planck-scale discreteness is an illusion of some structural quantization of a smaller hierarchy- howevever I think that ultimately calling it a fractal structure is a limited anthro-perception and is just an approximation of the fundamental emergent structure of the universe [and multiverse/metaverse ] and it may have no relevance to cosmological theory- just the poetry of pattern-recognition

___________________________

/:set\AI transmedia laboratories

http://setai-transmedia.com [Broken]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How important/fundamental is self-similarity in cosmic structure?

**Physics Forums | Science Articles, Homework Help, Discussion**