How Small Could the Universe Get in a Big Crunch?

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Interesting dynamical overview of 3-D >>2-D Ttransitions.

http://arxiv.org/PS_cache/hep-th/pdf/0408/0408220.pdf
 
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I could ask Russo, given that he lives in my city, but I will save the phone call and will ask here: I'm a bit familiar with the Milne universe, actually not mainstream because cosmologists prefere general relativity, but never heard of this thing that he calls the Milne horizon. What's this?
 


The concept of a "big crunch" refers to a hypothetical scenario in which the universe, which is currently expanding, eventually stops expanding and begins to contract back towards a central point. This contraction would continue until all matter and energy in the universe is compressed into a single point, resulting in a "big crunch."

The size of a big crunch is difficult to determine because it depends on various factors, such as the amount of matter and energy in the universe and the rate of expansion. However, according to current theories, the size of a big crunch would be incredibly small, perhaps even smaller than an atom.

In the paper provided, the author discusses the interesting dynamics of a 3-dimensional universe transitioning to a 2-dimensional universe. This type of transition is known as a "dimensional reduction" and is a topic of interest in theoretical physics.

The author suggests that this transition may occur as the universe approaches a big crunch, where the extra dimensions of space become compactified and the universe becomes effectively 2-dimensional. This is an intriguing concept, as it challenges our understanding of the fundamental nature of space and time.

Overall, the idea of a big crunch and the potential for a dimensional reduction provides a fascinating perspective on the evolution of the universe. While the exact size of a big crunch may be difficult to determine, the concept itself raises thought-provoking questions about the nature of our universe.
 
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