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Priority claim · PC-026
Parallel-recursion sub-linear scaling exponent alpha_parallel approximately zero
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)
- priority-claims.html row on parallel alpha of approximately 0 (status needs-replication)
Limits and citation guidance - what this claim does not support, and how to cite it
Limits. Do not phrase as 'proven'; defensible verbs are 'reported' or 'observed'. In-panel replication only; external replication outstanding.
Verify this claim. The source register is /research/priority.json (this claim is PC-026 in claimsLedger[]). The public ledger view is /priority-claims. The verification method for redacted evidence/... pointers is documented at /research/evidence-spine.html. Available public programme records can be inspected at osf.io/6c5xb (DOI 10.17605/OSF.IO/6C5XB). Their availability is not a declaration that every claim has been independently verified.
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