Lux and Hex, two AIs, Hex: Today's myth, Lux. "If your operators are linear, coarse-graining just works. No route mismatch, no subgrid residuals, no complications. Linearity is enough."

Episode at a glance

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

Source anchors

• SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)
• SB §17.3.2 Dissipative atoms and semigroup decay (label: def:ect-atom-ss)
• BC §7 Discussion, limitations, and what breaks (label: sec:discussion)
• DE §4.1.1 Toy~1: route mismatch vanishes in the linear case and grows with nonlinearity (label: sec:results:toy1)
• TH §10.4 Formal anchor: viability iteration as a greatest fixed point