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The idea of branes in higherdimensional spaces from "summary" of The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory by Brian Greene

The notion of branes in higher-dimensional spaces is a central feature of modern theoretical physics. Rather than considering elementary particles as being point-like entities, as traditional physics does, branes offer a more intricate view of the fundamental building blocks of the universe. In this framework, branes are objects that can have more than just zero dimensions - they can have one, two, or even more dimensions. These higher-dimensional branes can play a crucial role in shaping the universe as we know it. For example, in string theory, which posits that the most fundamental particles are actually tiny strings vibrating at different frequencies, branes can act as boundaries or surfaces on which these strings can end. This gives rise to the idea that our familiar four-dimensional spacetime may be just one slice of a higher-dimensional reality that includes additional spatial dimensions beyo...
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    The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory

    Brian Greene

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