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E2: Curvature as protocol residue (holonomy) episode artwork

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

Episode metadata supplied by the publisher feed · Published May 3, 2026

What this episode covers

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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How long is this episode of Emergence Calculus?

This episode is 10 minutes long.

When was this Emergence Calculus episode published?

This episode was published on May 3, 2026.

What is this episode about?

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...

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