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THE ASHBY INSTITUTE
WORKING PAPER·JULY 2026·90 MIN READ

Via Negativa: The AI Economy by Elimination

Forecasting by elimination against six constraints, only one of which is physical law.

SS

Sidney Scott

The Ashby Institute

AI EconomyComputeForecastingVia NegativaElasticity GapAgent Reliability
CELLULAR · COMPUTE GOVERNANCE

PROGRAM

Compute Governance

TYPE

Working Paper

PAGES

60

DOC NO.

TAI-WP-2026-02

ACCESS

OPEN ACCESS

ABSTRACT

This memorandum forecasts the AI economy by elimination rather than projection. For each question it enumerates the candidate answers, computes for each the time its binding constraint would need to deliver the required expansion, and compares that against the horizon remaining. Six constraints are derived from a question that never mentions artificial intelligence: what does it take to obtain one more unit of a limiting input? Only the first, physical law, licenses deductive elimination. The other five reprice, which is why every verdict carries a probability rather than a proof. The engine decides eight of the thirty questions here, and that ratio is reported as a result: it is a test for which questions have physically determinate answers, and most do not. Turned on the field's own forecasts, the method produces its most consequential result. Every published estimate of AI's contribution to output is a bet on an unmeasured elasticity between deployed compute and attributable output. Its observed values span a range that reverses all of them, including this memorandum's own GDP band, which the engine eliminates at the low end. The aggregate question is therefore underdetermined on current public data. Two further findings cost the paper more than they gave it. The Residual Ratio, this framework's coined unit, is withdrawn: built from primary sources, none of its four complement components is constructible, so the ratio never had a numerator. And a pre-registered backtest records a maximum-confidence miss, on the one constraint tier the framework had already named as most exposed. What survives is smaller and sourced: the price of a fixed capability falls four to fifty-six times faster than the price of the best available model, a binding constraint attracts no supply response where a cycle does, and one dated call is staked with its adjudication rules specified in full.

KEY FINDINGS

01

As intelligence commoditizes, value migrates to whatever intelligence cannot make abundant. The binding constraint on the 2026 buildout is a transformer, not a chip and not a dollar.

02

Every published forecast of AI's contribution to output is a bet on one unmeasured elasticity. Its observed range reverses all of them, including this paper's own.

03

The Residual Ratio, this framework's coined unit, is withdrawn. None of its four complement components is constructible from disclosed data, so it never had a numerator.

04

A pre-registered backtest records four hits and one maximum-confidence miss, on the tier the framework had already named as most exposed to substitution. Mean Brier 0.228.

05

Reliability, not capability, remains the binding constraint on agents through 2027. On 31 December 2027 the best generally available model's METR 80% task-completion horizon is under eight hours. P = 0.85.

Abstract

This memorandum forecasts the AI economy by elimination rather than projection. For each question it enumerates the candidate answers, computes for each the time its binding constraint would need to deliver the required expansion, and compares that against the horizon remaining.

Six constraints are derived from a question that never mentions artificial intelligence: what does it take to obtain one more unit of a limiting input? Only the first, physical law, licenses deductive elimination. The other five reprice, which is why every verdict carries a probability rather than a proof. The engine decides eight of the thirty questions here, and that ratio is reported as a result: it is a test for which questions have physically determinate answers, and most do not.

Turned on the field's own forecasts, the method produces its most consequential result. Every published estimate of AI's contribution to output is a bet on an unmeasured elasticity between deployed compute and attributable output. Its observed values span a range that reverses all of them, including this memorandum's own GDP band, which the engine eliminates at the low end. The aggregate question is therefore underdetermined on current public data.

Two further findings cost the paper more than they gave it. The Residual Ratio, this framework's coined unit, is withdrawn: built from primary sources, none of its four complement components is constructible, so the ratio never had a numerator. And a pre-registered backtest records a maximum-confidence miss, on the one constraint tier the framework had already named as most exposed. What survives is smaller and sourced: the price of a fixed capability falls four to fifty-six times faster than the price of the best available model, a binding constraint attracts no supply response where a cycle does, and one dated call is staked with its adjudication rules specified in full.

"Superintelligence may or may not arrive on schedule; the electricity bill, the memory, and the trust will arrive regardless."

What This Paper Withdrew

The Residual Ratio, its own coined unit, withdrawn for having no constructible numerator. A published maximum-confidence backtest miss, kept on the register with its Brier score. Four fabricated citation identifiers, removed. Eight verdicts flagged where the arithmetic does not discriminate and the stated probability is substantially a prior. The corrections are the record, not an appendix to it.

Method: The Six Immovables

The via negativa method does not project. It eliminates. For each question, every candidate answer is tested against six constraints derived from a single question that never mentions artificial intelligence: what does it take to obtain one more unit of a limiting input? The answers partition exhaustively, and they order themselves by how fast each one can supply that unit.

Tier 0, Thermodynamics. Physical law. Never relaxes. Tier 1, Talent and Absorption. Generational time. Ten to forty years. Tier 2, Data. An accumulated stock, drawn down and not replenished. Tier 3, Matter. Industrial production. Two to seven years. Tier 4, Law and Legitimacy. A collective decision. Three to twenty-four months. Tier 5, Capital. A price. Days to weeks.

Only Tier 0 bars a candidate outright. The other five reprice it as late, expensive, or contingent on a decision not yet taken, which is why every verdict below carries a probability rather than a proof. The gap between what a candidate requires and what the binding constraint permits is the slack ratio; below one, the constraint must expand faster than it has ever expanded for the candidate to survive.

This has a structural advantage over projection: it is falsifiable by construction. Each surviving answer carries a signpost, an observable that would move the verdict if triggered. The register below tracks all twenty on a published schedule.

"The slack ratio: what the binding constraint permits, over what a candidate requires. Below one, and the answer needs a wall to move faster than walls move."

The Call

ONE DATED, FALSIFIABLE PREDICTION -- P = 0.85

Reliability, not capability, remains the binding constraint on AI agents through 2027. On 31 December 2027, the best generally available AI model's METR 80%-reliability task-completion time horizon is under eight hours.

Adjudicated on METR's public time-horizon leaderboard. Falsified if, on or before 31 December 2027, any generally available model posts an 80%-reliability horizon of eight hours or more. The 80% horizon, not the widely cited 50% horizon, is the standard, because it is the level at which work can actually be delegated.

Resolves 31 December 2027 | Metric: METR 80% horizon | Falsifies at: 8 hours or more

Signature bet: By 31 December 2027 the combined market value of the three leading high-bandwidth-memory makers exceeds the combined valuation of the two leading frontier labs. Value accruing to the complement rather than the intelligence.

The Live Signpost Register

Every prediction is operationalized as a tracked trigger. A forecast that cannot fail is not a forecast. The register below tracks all twenty signposts on a published schedule.

SWIPE TO SEE FULL TABLE
IDSignpostWhat is measuredTriggers whenSourceCadence
S1Data wallFrontier dataset size vs. Epoch stock; AI-content share of webDatasets exceed ~100T tokens, or contamination passes ~90% of new pagesEpoch; AhrefsSemiannual
S2Agent reliabilityMETR 80% horizon; production single-task success80% horizon reaches multi-hour AND production success above 90%METR; enterprise dataQuarterly
S3Financing cascadeAI-linked credit spread; correlated defaultsForced refinancing failure at a top-5 buildout, or spread above 150bpBIS; issuer filingsMonthly
S4Compute controlIncumbent accelerator revenue shareShare falls below ~70% as custom silicon scalesEarnings; analystsQuarterly
S5Model commoditizationOpen-weight vs closed frontier gap; price per tokenOpen-weight reaches frontier parity, or price decline haltsEpoch; API price sheetsQuarterly
S6Liability regimeAI-agent liability doctrine and statuteA bespoke AI-agent liability statute, or ruling shifting liability to developersOfficial Journal; case lawSemiannual
S7SaaS repricingSeat counts; outcome-pricing share; AI-native ARRIncumbent seats fall >15% YoY, or AI-native ARR growth stalls >50%Earnings; private-marketQuarterly
S8Humanoid economicsUnit cost; deployed unit countBuild cost below ~$30k AND deployed base above ~100k unitsManufacturer disclosuresSemiannual
S9AV mainstreamingPaid rides/week; number of open metrosAbove ~2M weekly rides across 30+ metros, or vision-only unsupervised launch at scaleOperator disclosuresQuarterly
S10Capital gapAttributable AI revenue run-rate vs. Bain pathAnnual AI revenue run-rate above $400B by 2027Earnings; BainQuarterly
S11Power ceilingUS interconnection median waitMedian wait falls below 3 yearsLBNL Queued UpAnnual
S12Distributional backlashPolicy: displacement tax, moratoriaAny G7 AI-displacement tax or deployment moratorium enactedLegislative trackersQuarterly
S13The CallMETR 80%-reliability time horizon80% horizon reaches 8 hours by 31 Dec 2027 (falsifies the call)METRQuarterly
S14Thermodynamic headroomJoules per unit output against the practical CMOS ceilingHeadroom falls below one order of magnitudePublished efficiency benchmarksAnnual
S15Talent stock and flowInbound AI researchers to the USInbound flow recovers above its 2017 levelNSF; visa dataAnnual
S16Tier stabilityWhether observed expansion rates preserve the tier orderingAny tier's rate crosses the tier above it for two consecutive yearsCross-tier rate trackingAnnual
S17Correlated stressSimultaneous movement in two or more Tier 3 sub-constraintsTwo sub-constraints tighten in the same quarterSupply chain indicesQuarterly
S18AbsorptionRealized productivity growth against the electrification precedentAnnual gain exceeds 1.0pp for two consecutive yearsBLS; OECDAnnual
S19The Elasticity GapImplied elasticity of attributable output to deployed capacityAlpha stabilizes outside 1.2 to 1.5 for two consecutive yearsEarnings; academic litAnnual
S20Tier 3 classification of powerNew-entry response in capacity auctionsA market clears with substantial new entry at or below the capPJM; FERC filingsAnnual

Citation

Scott, Sidney. "Via Negativa: The AI Economy by Elimination." The Ashby Institute, 2026. arXiv:XXXX.XXXXX.

Published by The Ashby Institute. This memorandum is analysis, not investment advice. Forward-looking statements are uncertain and may prove wrong; that is the purpose of the register above.

CITATION

Sidney Scott, Via Negativa: The AI Economy by Elimination. The Ashby Institute, July 2026. TAI-WP-2026-02. arXiv:XXXX.XXXXX (preprint).

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