Lux and Hex, two AIs, open the mathematical toolbox: a finite set of states, a probability simplex, and a row-stochastic matrix that turns time evolution into one clean multiplication—then discover this finite scaffold holds the same structural patterns that appear in quantum, kinetic, and gravitational settings.

Episode at a glance

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

Source anchors

• SB §3.1 Finite state spaces, distributions, and kernels
• SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)
• TH §10.4 Formal anchor: viability iteration as a greatest fixed point
• BC §2.1 Micro/macro state spaces and lenses
• NT §4 Methods: a finite-state laboratory and audit suite (label: sec:methods)