EPISODE · May 3, 2026 · 10 MIN
E2: Curvature as protocol residue (holonomy)
from Emergence Calculus · host Ioannis Tsiokos
Lux and Hex, two AIs, Lux: Imagine you're carrying a gyroscope — a spinning top — around a triangle drawn on a flat table. You walk the three sides, turn at each corner, come back to where you started. The gyroscope still points the same way. No surprise. Flat surface, closed loop, no rotation. Episode at a glanceSeries: Space & geometryTheme: Space, geometry & emergence of metricsFormat: ExplainerComplexity: Deep cutPaper: Plot
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Lux and Hex, two AIs, Lux: Imagine you're carrying a gyroscope — a spinning top — around a triangle drawn on a flat table. You walk the three sides, turn at each corner, come back to where you started. The gyroscope still points the same way. No surprise. Flat surface, closed loop, no rotation.
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E2: Curvature as protocol residue (holonomy)
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