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The study of shapes and spaces in eleven dimensions, the maximum dimension required by M-theory (the mother of all string theories), which unifies five different 10D string theories into a single 11D framework. In 11D geometry, objects have eleven [perpendicular] axes, allowing for not just strings but membranes (2D), branes (3D), and higher-dimensional objects that vibrate and interact in ways that supposedly generate all of reality. 11D geometry is the current endpoint of theoretical physics—the most complex, most ambitious, most unprovable framework ever devised. It's the geometry of "this explains [everything], but we can't test it," of [mathematical] beauty untethered from empirical confirmation, of theories so elegant they must be true even if we can never know.
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