I'm interested in this matter, but I don´t know how to study it. I have a degree in Physics and I know something about Fractal Geometry, but I would like to know the implications in Astrophysics.
Isabel, I would also recommend that you google the two persons that initiated the entire concept in Astronomy: Mandelbrot, who argued fiercely with Peebles that the universe has a fractal structure, and later on Luciano Pietronero who became the champion of this idea and pushed it well into the astrophysics community.
First go to http://en.wikipedia.org/wiki/Fractal_cosmology
If you simply write "Fractal Cosmology" in Google, you will find plenty of information. If you write "fractal astrophysics" in Google you also will find lots of web pages with interesting information.
There has been much work in fractal distributions of galaxies in the past, as well.
Isabel, I would also recommend that you google the two persons that initiated the entire concept in Astronomy: Mandelbrot, who argued fiercely with Peebles that the universe has a fractal structure, and later on Luciano Pietronero who became the champion of this idea and pushed it well into the astrophysics community.
Dear Isabel, the clear presentation of the theoretical basis for the modern “Fractal Cosmology” there is in e-print archive http://arxiv.org/abs/0810.0162
and in recent Springer monograph :
“Fundamental Questions of Practical Cosmology. Exploring the Realm of Galaxies
Series: Astrophysics and Space Science Library, Vol. 383
Thanks, I´ll try to read these references. I think that the Universe is a big fractal, whith the property of autosimilarity, and then it is infinite at all degrees of precision. But this is only an idea. I haven´t mathemathic basis.
Do anyone know where could I do a course of fractal Cosmology?
You might like to have a look at the work of Chris King at Aukland.
http://www.math.auckland.ac.nz/~king/
Also, if fractal processes (symmetry breaking, catalysis) are a significant aspect of how the universe evolves you might also take the time to look at my own work. Perhaps there is an intimate connection to between how the universe is structured and how life is structured.
I suggest that you look at the work of Laurent Nottale who has a researchgate site. He is an astrophysicist at CNRS who has published widely on the issue.
There are far more small stars than large ones in galaxies. There are far more small cities than large ones in countries. In this regard, I see no much difference between galaxies and countries, or equivalently, between the universe and the earth.
Jiang B., Yin J. and Liu Q. (2014), Zipf’s Law for all the natural cities around the world, International Journal of Geographical Information Science, xx(x), xx-xx, Preprint: http://arxiv.org/abs/1402.2965
Jiang B. (2015), Head/tail breaks for visualization of city structure and dynamics, Cities, 43, 69-77, Preprint: http://arxiv.org/ftp/arxiv/papers/1501/1501.03046.pdf