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Why do we need extra spacetime dimensions in bosonic string theory?
The two main discoveries of early nineteen century theoretical physics, namely, General Relativity and Quantum Mechanics, are known to be mutually inconsistent, and the usual quantization procedures fail when applied to the former. String theory, one of the few existing approaches to quantum gravity, predicts some weird results, such as extra spacetime dimensions. Here we show that in bosonic string theory we need the underlying spacetime to be 26-dimensional for consistency reasons.