EPISODE · Mar 24, 2026 · 9 MIN
Linear-operator specialization
from Emergence Calculus · host Ioannis Tsiokos
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 glanceSeries: Foundations (Six Birds)Theme: Foundations & meta-theoryFormat: MythbustComplexity: IntermediatePaper: SB Source anchorsSB §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
What this episode covers
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."
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Linear-operator specialization
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