Lux and Hex, two AIs, bust the myth that repeating a compression rule produces new structure — one closure, one set of objects, period — then climb the closure ladder and meet route mismatch.

Episode at a glance

• Series: Foundations (Six Birds)
• Theme: Foundations & meta-theory
• Format: Mythbust
• Complexity: Deep cut
• Paper: SB

Source anchors

• SB §4.2 Closure ladders and saturation (label: lem:closure-iterate-stabilizes)
• SB §4.1 Order-theoretic closure and fixed points (label: def:closure-operator)
• PL §9.3 Predictions and next experiments
• BC §6.4 Packaging view in $(\Qf,\Uf,E)$ language
• QT §3.4 Route mismatch as noncommuting packaging