Pjpic said:
What is the name of the theory (or person who thought it up) that the universe is infinite in the 4th spatial dimension and that our big bang is only a local effect?
Pjpic said:
Is there one theorist, in this area, that is particular accessible to the non professional?
There are several theorists who have cooked up eternally proliferating universe concepts and written accessibly for the non-specialist (to a greater or lesser extent.)
Roger Penrose has a lecture where he illustrates his idea with colorful cartoon drawings.
He gave the talk several times and it is online several places including Cambridge. I can't say I understand it. Charming puzzling and provocative. Ask if you want link.
Andrei Linde has an idea of eternally proliferating local inflation spots that each turn into expanding universe regions. He wrote an illustrated Scientific American piece about this. I don't like it but it corresponds to what you asked. The universe is like a metastasizing cancer. It is called chaotic inflation or eternal inflation. There is no way to verify it observationally---it's just a fantasy that either appeals to you or not. No way to test.
Lee Smolin has his idea of a locally proliferating eternal universe. Called CNS or cosmic natural selection. New big bang regions emerge out the other side of the black holes that form in prior regions. So it is local, and the whole picture is like a branching tree. Our region is an offshoot from a previous one, which is an offshoot from an even earlier.
He wrote a book for lay readers about this called The Life of the Cosmos.
There are plenty of others.
==========================
BTW I wasn't sure what you meant by
local. You might get more focused responses if you would simply use more words. Talk more about what you have in mind.
There are a whole bunch of eternal universe models currently being studied. Models which go back before the big bang and suggest mechanisms by which our particular big bang might have occurred. Some of them are cyclic---a series of repeating big bang events. Others are proliferating, like a branching evolutionary tree. There is a book coming out this year that tries to assemble articles by 20 or so different authors and cover the whole menu, or menagerie, of this kind of eternal cosmology. I don't recommend the book. I looked at the table of contents and it just seemed like too much. Completely inclusive. Unselective. But maybe that's good. You can take a look and decide for yourself. The table of contents is online. The editor is Rudy Vaas. The title is
Beyond the Big Bang: Prospects for an Eternal Universe
Here's the general description
http://www.springer.com/astronomy/general+relativity/book/978-3-540-71422-4
Here's the table of contents
http://www.springer.com/astronomy/general+relativity/book/978-3-540-71422-4?detailsPage=toc
The publisher now says they plan to have it out by October 4, 2009.
I believe them, but the book has been delayed several times in the past.