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Quantum mechanics and relativity tell us that when we look at the very
small, the very fast, or the very massive - then space, time, and matter
behave in new and exotic ways. Each of these theories works well in its
own regime, but in extreme conditions where both theories reign they
conflict, and we still do not have a single theory that unites our basic
understanding of the laws of physics. We have made a lot of progress,
including string theory and the study of quantum black holes, but there
are still many puzzling questions. In this talk I will describe what we
have learned and some of the seemingly paradoxical puzzles, including
the latest - the black hole 'firewall.'
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