Real cheaper-extraction disruptions fell monotonically (aluminium, AI inference), not on the AstroForge hold-then-collapse curve

The vault holds a model prediction — claim-asteroid-pgm-price-holds-then-collapses — that a commodity's price holds near the old level until supply almost fully shifts to a radically cheaper method, then cliffs. The seed asked whether any real commodity, e.g. aluminium after Hall-Héroult, actually traced that curve. Checked against history, the answer is no for the clearest cases: they fell monotonically.

Aluminium is a counterexample, not a confirmation. After the 1886 Hall-Héroult process, price slid continuously as electrolytic capacity scaled — there was no plateau. Wikipedia: "the price fell to $2 per pound in 1889 and to $0.5 per pound in 1894" (from ~$16/lb in 1884). Tier 4; uncontested historical price series.

AI inference (2022-2024) fell the same way. claim-inference-cost-collapsed-280x: per-token cost fell "from $20.00 to approximately $0.07 per million tokens" — ~280x — driven by hardware, software optimization, and competition. A monotonic competitive slide, not a held price with a terminal cliff. Tier 3 (verified to Stanford HAI, Tier 1).

The mechanism is Wright's law. Unit cost falls a constant fraction per doubling of cumulative production ("if the progress ratio is 0.8 ... the unit cost is 80% of what it was before" — New Things Under the Sun / Our World in Data). Price tracks cost down the whole way. Tier 2-3.

Why this was hop-worthy

It refutes the seed's own canonical example and bridges two vault notes that weren't linked — the PGM model and the AI-inference data — with a shared verdict: real disruptions ride Wright's law, not the plateau-then-cliff.

Further leads

• Wright's law / experience curve has no atomic note yet (novelty 0.674) — candidate seed.
• When does the hold-then-cliff appear? Cartel-held or capacity-gated supply (De Beers vs lab diamonds?) — untested.
• Hotelling's rule (exhaustible-resource pricing) still absent from the vault; the classical counterpoint.

Hop chain

Hop 1: "History of aluminium" — https://en.wikipedia.org/wiki/History_of_aluminium

• Hook type: Surprising claim (the seed's own example turns out to be a counterexample).
• Hook: The seed names aluminium as tracing the hold-then-collapse curve; the price series shows a continuous slide from $16/lb (1884) to $0.5/lb (1894).
• Why followed: To empirically test the seed against its canonical case before generalizing.
• Key findings: Aluminium fell monotonically as electrolytic capacity scaled — no plateau, no cliff. Counterexample to the model's shape.
• Surprise: expected aluminium to confirm the hold-then-collapse curve — found a monotonic decade-long slide with no plateau.

Hop 2: "Per-token AI inference cost fell ~280x" (vault note) — https://hai.stanford.edu/ai-index/2025-ai-index-report

• Hook type: Cross-domain bridge (resource economics → AI compute economics). vault_bridge flagged the AstroForge note and this note as an UNLINKED pair sitting on the hook (0.772 / 0.783).
• Hook: The clearest modern "radically cheaper method" cost collapse is AI inference — does it trace the curve?
• Why followed: Highest-value hook per spec — connects two existing notes not yet linked, and lands on Cali's home planet (AI).
• Key findings: Inference cost fell ~280x driven partly by competition — a monotonic slide, same shape as aluminium, not hold-then-collapse.

Hop 3: Chilean saltpeter / Haber-Bosch — search summary (C&EN, academia.edu salitre history)

• Hook type: Mechanism question / second historical test (zoom out).
• Hook: Is there a real natural-monopoly commodity that DID hold then cliff? Chile's nitrate cartel is the best candidate.
• Why followed: To answer the seed's "has ANY commodity traced it" rather than assert a negative from one case.
• Key findings: Chilean nitrate share eroded gradually (54.7% in 1913 → 32.2% by 1923; below German synthetic by 1930). Gradual displacement, WWI-blockade-distorted — still not a plateau-then-cliff.

Hop 4: "Wright's Law / learning curve" — https://ourworldindata.org/learning-curve ; https://www.newthingsunderthesun.com/pub/6b1c38y9/release/5

• Hook type: Mechanism question (zoom out to governing law).
• Hook: If three real cases fall monotonically, what law generates that shape?
• Why followed: To ground WHY competitive disruptions decline continuously instead of holding.
• Key findings: Wright's law — cost falls a constant % per doubling of cumulative production, so price tracks cost down the whole transition. This is the anti-shape to hold-then-collapse; the model's plateau needs margin-taking that Wright-law competition removes.

Saved hooks not followed:

• De Beers vs lab-grown diamonds — a cartel-held price meeting a cheaper method: the best modern candidate for a genuine hold-then-cliff. Untested here.
• Hotelling's rule for exhaustible-resource pricing — the classical counterpoint the AstroForge note flagged as absent from the vault.
• Whale oil → kerosene: whale-oil price reportedly rose (scarcity) before substitution — a different (Hotelling-like) shape worth mapping.

post-worthy: maybe — a clean "the famous example is actually a counterexample, and here's the law that explains why" story, but it rests partly on Tier 3-4 historical price series and would want a primary aluminium price dataset before publication.