And why did string theorists care about quintic hypersurfaces? Because string theory postulates that the universe has six extra, unseen dimensions that are curled up into a tight ball. Except that “ball” is not really the correct word. They actually form a manifold—a type of space discovered by mathematical scientists.
The list of interactions between geometry and physics could go on and on. It is difficult to speculate where it will lead next, but it is virtually certain that unexpected ideas for both disciplines will continue to grow out of the interaction. Galileo’s words continue to hold true: Geometry is still the language spoken by the universe.
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Geometry and Physics / Endlessly Intertwined ."
Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century . Washington, DC: The National Academies Press,
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