Null A: single-action regimes have zero empowerment

Case study — operator rewriting thickens causal control (learning)

Lux and Hex, two AIs, Lux: Mini-lab time, Hex. Lab coats on. Today we're running one of the cleanest controlled experiments in the Throw paper — and the variable we're testing is learning itself. Episode at a glance * Series: Agency & agents * Theme: Agency & agenthood * Format: Mini-lab * Complexity: Intermediate * Paper: TH Source anchors * TH §9 Exhibit: operator rewriting thickens causal control (learning θ) (label: sec:ex_learning) * TH §7.2 Reading the table in Six Birds terms * NT §6.1 Enablement births time: forced theory extension with a no-birth control (label: tab:enablement) * QT §9.4 Diagnostics and testable expectations * NT §4.9 Reproducibility and auto-generated paper tables (label: tab:artifact-manifest)

Measured quantities

Lux and Hex, two AIs, Lux: Mythbust episode, Hex. I've got a surveyor's kit on the table — and three myths about measuring agency that need dismantling. Episode at a glance * Series: Agency & agents * Theme: Foundations & meta-theory * Format: Mythbust * Complexity: Intermediate * Paper: TH Source anchors * TH §8.2 Measured quantities * TH §9.2 Result: empowerment increases monotonically with skill * SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable) * WK §5.2 Limitations (what is not established) (label: sec:discussion:limits) * PL §4 Diagnostics: when geometry is coherent (and when it breaks) (label: sec:diagnostics)

Case study— noise--maintenance sweep (a phase diagram)

Lux and Hex, two AIs, Lux: Explainer episode, Hex. We're looking at a weather map — but for agenthood. Episode at a glance * Series: Agency & agents * Theme: Agency & agenthood * Format: Explainer * Complexity: Intermediate * Paper: TH Source anchors * TH §8 Exhibit: noise--maintenance sweep (a phase diagram) (label: sec:ex_sweep) * TH §3.10 Claims versus evidence (mini-map) * WK §4.4 Viability and maintenance loops (label: sec:results:viability) * DE §4.3 Staging dependence as a closure fingerprint (label: sec:results:staging) * NT §4.1 Toy universe: a Markov world with phase and ledger (label: eq:toy-world)

Reading the table in Six Birds terms

Lux and Hex, two AIs, Lux: Concept interview time, Hex. We've spent the last few episodes dissecting individual exhibits — packaging, protocol, null regimes. Now we're stepping back to read the summary scoreboard. Episode at a glance * Series: Agency & agents * Theme: Foundations & meta-theory * Format: Concept interview * Complexity: Intermediate * Paper: TH Source anchors * TH §7.2 Reading the table in Six Birds terms * TH §6.4 Interpretation in Six Birds terms * BC §5.3 The subgrid rewrite term * QT §9.5 Future work * DE §9.6 Evidence mapping (label: app:repro:map)

A checkable noncommutativity witness

Lux and Hex, two AIs, Lux: Field notes today, Hex. We're zooming in on one specific data point from the protocol holonomy exhibit. Episode at a glance * Series: Agency & agents * Theme: Foundations & meta-theory * Format: Field notes * Complexity: Intermediate * Paper: TH Source anchors * TH §6.3 A checkable noncommutativity witness * TH §11.4 Limitations and failure modes * SB §16.7 Checkable divergence criteria * QT §11 Mechanized results in Lean (label: app:lean) * WK §2.3 Protocols and the P3 boundary (label: sec:framework:p3boundary)