cff-version: 1.2.0
version: '1.14'
message: 'If you use or discuss this paper, please cite it using this metadata.'
title: 'Paper XI · The ARC Theory · Law I, the ARC Principle · Convergent Evidence for Recursive Amplification: a Graded Cross-Domain Register'
authors:
  - family-names: 'Eastwood'
    given-names: 'Michael Darius'
    orcid: 'https://orcid.org/0009-0004-3222-7442'
date-released: '2026-10-05'
url: 'https://www.michaeldariuseastwood.com/research/papers/paper-xi-convergence.html'
license: 'CC-BY-4.0'
identifiers:
  - type: doi
    value: '10.17605/OSF.IO/DC9GW'
    description: 'OSF component DOI for this paper (paper-xi-convergence)'
  - type: doi
    value: '10.17605/OSF.IO/6C5XB'
    description: 'OSF umbrella DOI for the ARC / Eden Research Programme'
preferred-citation:
  type: article
  title: 'Paper XI · The ARC Theory · Law I, the ARC Principle · Convergent Evidence for Recursive Amplification: a Graded Cross-Domain Register'
  authors:
    - family-names: 'Eastwood'
      given-names: 'Michael Darius'
      orcid: 'https://orcid.org/0009-0004-3222-7442'
  date-published: '2026-07-02'
  url: 'https://www.michaeldariuseastwood.com/research/papers/paper-xi-convergence.html'
  doi: '10.17605/OSF.IO/DC9GW'
  identifiers:
    - type: doi
      value: '10.17605/OSF.IO/DC9GW'
      description: 'OSF component DOI for this paper (paper-xi-convergence)'
    - type: doi
      value: '10.17605/OSF.IO/6C5XB'
      description: 'OSF umbrella DOI for the ARC / Eden Research Programme'
    - type: doi
      value: '10.17605/OSF.IO/P8CKQ'
      description: 'Theory-level predictions preregistered on OSF: DOI 10.17605/OSF.IO/P8CKQ, registered 8 September 2026 (version 1.100), updated 13 September 2026 (version 1.102), twenty-two propositions. Companion: Register · The ARC Theory · Operational Definitions, version 1.9.1, 5 October 2026.'
  abstract: |
    Between 8 December 2024 and 1 September 2026, a 21-month window, research programmes, corporations, governments, and institutions independently arrived at the same structural principle: recursive self-correction produces capability gains exceeding linear accumulation, external alignment constraints are structurally insufficient to contain it, and the corrective must be embedded, not imposed. This convergence register is exploratory (an observational count, not a test statistic); the underlying structural principle that above-threshold recursive self-correction produces stably super-linear gains is on trial in draft study-k (the boundary) and draft study-ad (the correction exponent), both drafted, preregistered by timestamp (first anchored on 12 August 2026 at block 962066) and awaiting human submission. Two exceptions are disclosed. The Hernández-Espinosa to Gumbau chain is graded in the register as one dependent lineage, and the interfaith-governance rows belong to a single institutional movement older than the anchor. Apart from those two, no group cites another, and no group cites the author's work. The pattern is discovered, not manufactured. No numerical convergence total is claimed from these rows: the canonical graded register (33 rows, as amended 7 September 2026, under the 2 August 2026 policy) publishes no total, because technical experiments, theorems, engineering proposals, policy developments, cultural echoes, prior work and author-run studies cannot legitimately be summed as one evidential quantity. This paper is the convergence report. It documents each convergence with exact sources, dates, and gap measurements. It situates them within the ARC/Eden framework (Papers I-X). It closes the loop connecting the researcher's neurodivergent cognition (Paper C, PNP), an independent, peer-reviewed paper that argues for neurodivergent influenceability among AI agents as a contingent response to misalignment (Hernández-Espinosa et al., 2026, PNAS Nexus), and a preprint that credits that paper and states two impossibility results on the structural unverifiability of AGI alignment (Gumbau Mezquita, 2026, arXiv:2606.28639). The method is the hypothesis. The PNAS paper is about machine agents, not about me; the human parallel is argued separately, in Paper C, on its own terms. The chain of dates is independently checkable. The SHA-256 hash of the foundational manuscript is published. The sealed .eml is held privately and available on request; its SHA-256 is published, and the anchor establishes that those specific bytes existed no later than the anchored time, checkable by anyone against the public chain. Authorship, key custody, semantic content and absence of prior disclosure are separate questions carrying their own evidence, and are stated as such.

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