# Is universe a 3 dimensional fractal .?

dexterdev
Is universe a 3 dimensional fractal...?

Hi all,

Yesterday I was reading on fractals (2 dimensional). It was interesting to know leaves etc are examples of fractals ( for example : fern). So I thought if there is a possibility for 3 dimensional fractal. And as in any case which is distorted by noise (so that the fractal is not perfect, not 100% symmetric). Can we apply this model for ever growing , ever expanding universe? Can the iterations in fractal be thought of expansion of universe.

When I googled 'Is universe a 3D FRACTAL' I got a link http://www.newscientist.com/article/dn14200-galaxy-map-hints-at-fractal-universe.html suggesting similar idea. I would like to hear your opinions.

-Devanand T

## Answers and Replies

twofish-quant

Can we apply this model for ever growing , ever expanding universe? Can the iterations in fractal be thought of expansion of universe.

Already been done. During inflation the density fluctuations produce something that is very much like a fractal. However at large scales, there are various things that cause the fractal to get cut out...

http://archive.ncsa.illinois.edu/Cyberia/Cosmos/PowerSpectrum.html

Here is an interactive build your own universe simulator

http://map.gsfc.nasa.gov/resources/camb_tool/index.html

The bar at the bottom marked "spectral index" is the fractal structure of the early universe. You plug in various fractions of "other stuff" and that gets the matter distribution of the universe.

dexterdev

Thanks for your links.

clamtrox

There has also been some research into the fractal dimension of the distribution of galaxies. What you do is you take a ball of radius R and count the number of galaxies inside. Then you change it's size and see how the number of galaxies scales. If the distribution is uniform and not fractal, then you would expect that the number of galaxies grows like the volume of the ball, or N ~ R3. But when you look at actual data, in small scales (of the order of 1 Mpc) the actual scaling is close to N ~ R2. This suggest a fractal-like distribution.

dexterdev

Thanks for sharing that idea