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Priority claim · PC-026
Parallel-recursion sub-linear scaling exponent alpha_parallel approximately zero
This was first published by Michael Darius Eastwood on . Anchored evidence is listed below. See the machine-readable priority record at /research/priority/ and the full ledger at /priority-claims.
The claim - verbatim
Michael Darius Eastwood first reported the empirical observation that parallel recursive processing across the six-model frontier LLM panel tested yields a sub-linear capability-scaling exponent alpha_parallel of approximately zero, reproduced across every model tested in the panel, on 22 January 2026 in Paper II (OSF DOI 10.17605/OSF.IO/6C5XB). The result is single-lab and awaits external independent replication; the site's own ledger tags parallel-alpha as needs-replication.
Anchored evidence
- research/papers/paper-ii-experimental-validation.html (verbatim: 'alpha_{parallel} approx 0.0' across models)
- OSF DOI 10.17605/OSF.IO/6C5XB (project) and sister DOI 10.17605/OSF.IO/8FJMA
- research/data/priority-record.json claim_id 'paper-ii-experimental-validation' (first_published 2026-01-22)
- ai-discovery-staging/priority-claims.html row on parallel alpha of approximately 0 (status needs-replication)
Risk notes - what this claim does not support
Risk notes. Do not phrase as 'proven'; defensible verbs are 'reported' or 'observed'. In-panel replication only; external replication outstanding.
Verify this claim. The machine-readable priority register is at /research/priority.json (this claim is PC-026 in claimsLedger[]). The full public ledger view is at /priority-claims. Where evidence points at a redacted evidence/... path, the public verification method is documented at /research/evidence-spine.html. Every result is independently checkable via the OSF programme at osf.io/6c5xb (DOI 10.17605/OSF.IO/6C5XB).
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