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Some cosmological theories suggest the universe may be either 10 or 11 dimensional.

As far as Stephen Hawking goes ... there is no limit to the number of dimensions that can be considered on a theoretical basis, and in fact certain problems in physics are best treated in "Hilbert space", which is an abstract vector space with an infinite number of dimensions. How many dimensions Dr. Hawking uses for any given calculation would therefore depend on exactly what it is that he's calculating.

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It isn't just Stephen Hawking. Anybody who works with string theory is accustomed to a Universe with more dimensions - often 10, 11, or 26, depending on the specific theory.

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Q: How many more dimensions than four does Stephen Hawking use theoretically?
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