I would like to know what is the difference between research in theoretical physics and pure mathematics. In particular, what does a theoretical physicist actually do all day long for his research? In other words, what does research in theoretical physics involve? Do theoretical physicists work only on big problems like string theory or any other major topics or there are other topics which are more fit for, say, PhD dissertations?
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I want to know what happens to the space a black hole crosses over as our galaxy travels through space.
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