Title: Paper IX: Synthesis and Roadmap Author: Michael Darius Eastwood Publication date: 2026-03-18 Version: v2.0 Revised: 2026-09-01 OSF DOI: 10.17605/OSF.IO/K7RUZ Canonical URL: https://www.michaeldariuseastwood.com/research/papers/paper-ix-synthesis-and-roadmap.html Abstract -------- The ARC/Eden research programme now spans a full set of documents and a run of independent empirical studies covering mathematical foundations, methodology, empirical validation, engineering specification, and philosophical vision. The core concepts were first articulated on 8 December 2024 in an email bearing a visible Gmail origination field, with sender-DKIM and paired Google ARC mathematics verifying against keys captured at the signed selectors and no RFC 3161 trusted timestamp. The book Infinite Architects (ISBN 978-1806056200) was published 2 January 2026 (print; ebook 6 January). The research programme was produced between February and August 2026 and now spans twenty-six papers, a registered programme of seventy-two drafted preregistration units awaiting human submission with schedules regenerable byte-for-byte from a published seed, and a proposed field, Recursive Dynamics, whose founding paper carries the name’s own kill condition (DOI 10.17605/OSF.IO/HCPBU). This synthesis paper integrates all findings into a single honest assessment. The framework’s laws are carried as named conjectures with the status printed beside the name: Law I, the ARC Principle; Law II, the ARC Co-Scaling Law; Law III, the ARC Ceiling, whose ARC Bound of two is the Ceiling’s value at one half; the correction leverage gamma has never been measured, by anyone. Across the empirical studies: 1 produced a clear positive result (gated simulation, the only experiment using deterministic metrics on a system without pre-existing RLHF training), 2 produced null results (DGM v3, where RLHF-trained models resisted prompt-level differentiation), 1 produced inconclusive results (weight-level LoRA fine-tuning, where instruct-tuned models were too strong for LoRA to override), and the remainder produced statistically significant findings under blinded evaluation. The $d/(d+1)$ geometric scaling bound, proposed as an invariant relation under test, matches observed scaling across 50 domains from mice to galaxies, and Cauchy functional equations fix the functional form once the composition identity and a regularity condition are given, and saturation is admitted as a fourth, capped case rather than as a solution of those equations. This paper maps exactly what has been proven, what has not, and what experiments would resolve each open question. It also documents the programme's errors and corrections, because a framework built on iterative self-correction must practise what it preaches. Key findings (quotable) ----------------------- - Michael Darius Eastwood Research Canonical publication layer Research hub Main site PDF OSF GitHub Research paper Research suite Paper IX: Synthesis and Roadmap Michael Darius Eastwood · Independent AI alignment researcher Published 18 March 2026 The synthesis paper for the ARC/Eden research programme; integrates the papers that precede it into a single honest assessment of what is proven, what is inconclusive, and what remains to be tested. Citation -------- Michael Darius Eastwood (2026). Paper IX: Synthesis and Roadmap. The ARC Theory · ARC/Eden experiments, OSF DOI 10.17605/OSF.IO/K7RUZ. https://www.michaeldariuseastwood.com/research/papers/paper-ix-synthesis-and-roadmap.html Notes ----- Hardware framings held at the site's already-published two-sentence concept ceiling: safety constraints at hardware level through cryptographic tokens in silicon, TRL 0-1, no prototype. No enabling implementation detail is stated in this companion file. Generated from master --------------------- master_path: research/papers/paper-ix-synthesis-and-roadmap.html master_sha256: 0cc21c24430db69a80e56bd20be98d0356294834335e3bd6c24cf02cabcc1f4d builder: scripts/build-paper-companions.py This block records the SHA-256 of the HTML master that produced this .txt. A check tool re-hashing master_path can decide freshness without any external state. If the master's current SHA-256 does not match master_sha256, this file is stale and must not be published: regenerate first with `python3 scripts/build-paper-companions.py --slug paper-ix-synthesis-and-roadmap`.