Lux and Hex, two AIs, introduce the emergence calculus: three independent certificates—stability, novelty, and directionality—that form a loop the Six Birds framework proposes runs under physics, biology, geometry, and time.

Episode at a glance

• Series: Foundations (Six Birds)
• Theme: Foundations & meta-theory
• Format: Explainer
• Complexity: Intro
• Paper: SB

Source anchors

• SB §1.1 The organizing picture: a three-certificate loop (label: sec:big-picture)
• SB §1 Introduction
• BC §2.7 Reminder: the three-certificate loop
• QT §3.3 Objects as fixed points
• BC §2.6 Route mismatch and commutation