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setAI
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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?
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 - 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
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 - 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
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