Lux and Hex, two AIs, Hex interviews cycle-space coordinates: cycle rank gives the dimension, cycle basis gives the numbers, and the zero/nonzero question — equilibrium or drive — is invariant under basis change.

Episode at a glance

• Series: Foundations (Six Birds)
• Theme: Space, geometry & emergence of metrics
• Format: Concept interview
• Complexity: Deep cut
• Paper: SB

Source anchors

• SB §6.3 Accounting as coordinates on cycle space
• SB §6.2 Cycle integrals, exactness, and the null regime (label: def:cycle-integral)
• PL §9 Discussion and conclusion: what SBT predicts about space (label: sec:discussion)
• NT §7.2 The holonomy obstruction (informal theorem) (label: eq:holonomy)
• PL §5.2 Lens ladders (packaging families) and refinement maps