๐Extra dimensions, as predicted by string theory, are required to fully unify the fundamental forces of nature.
๐ฌString theory proposes that particles are actually vibrating strings, and the variety of vibrations determines their properties.
๐Extra dimensions are not large and accessible, but rather small and curled up, possibly as small as 10^-30 meters.
๐งชThe math of string theory reveals the presence of modular forms and Ramanujan's theta function, which are essential in understanding why extra dimensions exist.
๐While we currently have no empirical evidence for the existence of extra dimensions, the math suggests their existence for the unification of forces.