Multiverses can be distinguished in 4 different levels
Level I is where other such regions far away in space where the apparent laws of physics are the same, but where history would be different because things happened differently.
Level II is where regions of space where even the apparent laws of physics are different.
Level III is where parallel worlds elsewhere in Hilbert space where quantum reality plays out.
Level IV is where totally disconnected realities are governed by different mathematical equations.
Here are George Ellis' main anti-multiverse arguments:
Inflation might be wrong
String theory may be wrong
Quantum mechanics may be wrong
Multiverses may be unfalsifiable
Some claimed multiverse evidence is dubious
Fine-tuning arguments may assume too much
It's a slippery slope to even bigger multiverses
Inflation makes Level I multiverse
Level I multiverse with string theory makes Level II multiverse
Level II multiverse with quantum mechanics makes Level III multiverse
For more information go to: http://www.scientificamerican.com/article.cfm?id=multiverse-the-case-for-parallel-universe
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