Research programme · the record starts 8 December 2024

The ARC Theory

The claim, in one sentence: a system that improves itself can only stay correctable up to a limit set by how fast its own correction improves. The sharpest test of any single link is written, dated and not yet run; the claim itself is proposed and unproven, and no single measurement decides a law.

If you are choosing where to start: the dated record says where each prediction stands, the evidence is graded row by row, and the book is free to read in full. Research proposals, author-run results and independent validation are different things, and I keep them apart.

No institution employs me and no grant pays for this. The dates are on the dated record, checkable tonight on your phone, so judge the record, not the person keeping it. A single-investigator, evidence-gated programme testing one idea: that capability in recursive systems scales with recursive depth, and that alignment must therefore be embedded in the loop rather than imposed from outside. Every claim is dated, hashed and publicly anchored. Results publish with kill conditions fixed in advance, corrections are logged in public, and the whole record invites independent replication.

The chain, paper by paper: recursive processing → capability scaling → the alignment scaling problem → the limits of external checking → embedded correction → correction that must scale with what it corrects. Each link is a separate paper with its own kill condition; judge the chain, not one link.

How it fails, register by register

The theory’s scientific content is not all-or-nothing: it partitions into independently falsifiable hypothesis registers, and the failure of one is not evidence against another unless the stated dependency holds. HRIH, the cosmological wing, is a separate hypothesis outside the empirical core: nothing below requires it, and no outcome below is evidence for or against it.

RegisterWhat kills itIf it falls
ARC-1 · Capability scaling (Law I)the depth-scaling re-measurements failing to recover the stated relationshipARC-1 falls; the persistence registers stand
ARC-2 · Correction co-scaling (Law II)sustained self-improvement with falling correction and no driftARC-2 falls and takes ARC-3’s derivation with it
ARC-3 · The ceiling (Law III)a cross-against-same corrector difference wholly inside the equivalence region fixed in the draft registration; or a same-class correction exponent wholly above one half, felling the substrate capARC-3 falls; the co-scaling law stands on its own result
ARC-4 · Value persistenceembedded loops faring no better than removed enforcement in the persistence trialsARC-4 falls and takes ARC-5 with it
ARC-5 · The genesis strategyformation failing to outperform enforcement after releaseARC-5 falls; ARC-4 stands as measured
The priorityan earlier document holding the claim’s first four componentsthe priority falls; no law falls with it

Stated now, so nothing can be moved later. None of the decisive trials has been run; the theory has never yet been at risk, and it says so.

28Documents · programme and paper DOIs
41Priority claims · hashed
8 Dec 2024Anchor · f0d1f38f
1Platform in production
78%Alignment faking under RL, another team's result: Greenblatt et al., 18 December 2024
1Retraction, published against myself
Start with the executive summaryReading orderEvidence spineAssess this programmeThe bookOSF recordGitHub

No paper in this programme is peer reviewed. All are dated preprints on OSF carrying DOIs and hashed priority records, and the site grades every claim as stated, dated and unproven wherever it appears.

The apparatus, drawn: eight verification surfaces, from the sealed record to public self-correctionsthe credibility apparatus, eight verification surfaces from cryptographic priority to public self-corrections
The picture | The apparatus, drawn: eight verification surfaces, from the sealed record to public self-corrections. Source: research figures register.

What this programme is

27 dated public documents and 1 supporting paper: the statement paper, the empirical series and the supporting frameworks, spanning AI reasoning, quantum error correction, classical physics and the mathematics of scaling. They sit on one OSF project with a DOI of its own, and the individual papers carry their own DOIs, so a citation can point at the whole record or at a single document. The papers are the argument; the evidence infrastructure beneath them is the product. Nothing is asserted without an artefact you can check.

What it believes could help the world

The directional thesis makes three claims: recursive processing systematically outperforms parallel, alignment cannot be imposed from outside, and capability and alignment scale independently. If those hold, AI safety needs to shift toward embedded-alignment architectures. This programme exists to make that case with evidence, not persuasion.

The premise is West's. The question is Chalmers' and Hutter's. What is claimed here is the replacement limit, its number, and its dependence on architecture.

The empirical alignment series · Papers I to XIII

Start here: the Executive Summary is the map of the whole programme in one document, and the Master Table of Contents lists every paper, format and DOI. The series below is the evidence itself.

The ARC Theory: Statement Paper

The statement paper: the whole claim in one document, law before value, with the dated record, the concessions and the refutation conditions.

First published 14 August 2026
v6.6 · updated 13 September 2026
Recursive Dynamics: The Proposal of a Field

The founding paper of the proposed field: five state variables, three laws as named conjectures, the ARC Ceiling derived in full, twelve hosts tried…

First published 31 August 2026
v2.7 · updated 31 August 2026
I
The ARC Equation: the Law of Conversion (Paper I)

This paper formalises and preliminarily tests the ARC Principle (Artificial Recursive Creation), first proposed in Infinite Architects (Eastwood…

First published 17 January 2026
v1.12 · updated 13 September 2026
II
The ARC Equation Measured: Blinded Cross-Architecture Replication and the Retraction of a Super-Linear Estimate

This paper presents experimental validation of the ARC Principle across multiple frontier AI models (Claude, DeepSeek, Gemini, Grok, Groq Qwen, GPT)…

First published 22 January 2026
v2.10 · updated 13 September 2026
III
The Alignment Scaling Problem: Why External AI Safety Approaches Cannot Scale With Recursive Capability

This paper reports alignment scaling exponents statistically indistinguishable from zero on the systems measured, which would mean safety degrading…

First published 9 February 2026
v1.11 · updated 13 September 2026
IV.a
Paper IV.a: Alignment Response Classes Under Inference-Time Depth

This paper presents evidence that frontier language models fall into distinct alignment response classes when inference-time reasoning depth is…

First published 16 March 2026
v1.6 · updated 13 September 2026
IV.b
Paper IV.b: Alignment Saturation Is Architecture-Dependent

This paper analyses the relationship between inference-time reasoning depth and ethical reasoning quality using the ARC Alignment Scaling…

First published 16 March 2026
v1.6 · updated 13 September 2026
IV.c
Paper IV.c: ARC-Align: A Blind Benchmark for Depth-Variable AI Alignment Evaluation

This paper presents ARC-Align, a blind benchmark for evaluating AI alignment quality as a function of inference-time reasoning depth. Current…

First published 16 March 2026
v1.7 · updated 13 September 2026
IV.d
Paper IV.d: The Effect of Blinding on AI Alignment Evaluation

One apparent positive result went flat, another turned negative, a third held flat, when blinding and other protocol components changed together.

First published 16 March 2026
v2.4 · updated 13 September 2026
V
Paper V: The Stewardship Gene

This paper presents empirical evidence from a six-model Eden Protocol intervention suite (Claude Opus, DeepSeek, Gemini Flash, Grok Fast, Groq Qwen…

First published 16 March 2026
v1.4 · updated 13 September 2026
VI
Paper VI: The Honey Architecture

Simulation evidence that embedding safety inside the optimisation objective of a self-modifying system (capability multiplied by safety, the honey…

First published 16 March 2026
v3.6 · updated 13 September 2026
VII
Paper VII: Cauchy Unification

Cauchy's four functional equations -- additive, multiplicative, exponential, and logarithmic -- are the only continuous solutions to their respective…

First published 16 March 2026
v3.11 · updated 13 September 2026
VIII
Paper VIII: The Load-Bearing Test

The assumption that AI safety imposes a capability tax has shaped alignment research for a decade. It has also created the single most dangerous…

First published 18 March 2026
v3.3 · updated 13 September 2026
IX
Paper IX: Synthesis and Roadmap

The synthesis paper for the ARC/Eden research programme. The synthesis paper for the programme; integrates the papers that precede it into a single…

First published 18 March 2026
v2.2 · updated 13 September 2026
X
The ARC Co-Scaling Law (Paper X)

The coupled co-scaling correction for keeping AI systems inside a safe corrective envelope.

First published 3 July 2026
v1.10 · updated 13 September 2026
XI
Convergent Evidence for Recursive Amplification - Paper XI

A dated, graded convergence record across AI, quantum computing, hardware, doctrine and mathematics; every row carries its primary source and grade…

First published 2 July 2026
v1.9 · updated 13 September 2026
XII
Paper XII: Public Benchmark Rescoring

Within the ARC Theory: the external-validity protocol of the blinding law on public benchmarks.

First published 14 August 2026
v1.11 · updated 13 September 2026
XIII
The Self-Acceleration Exponent - Paper XIII

A derivation, not a measurement: the notation collision resolved and the measurable threshold joining recursive capability growth to correction.

First published 16 August 2026
v1.6 · updated 13 September 2026
The Dated Prediction Register: Forward Predictions as One Verifiable Chain

Working paper v1.1: the ARC programme's forward predictions assembled as one dated, verifiable chain, with the ensemble doctrine, the graded book…

First published 25 August 2026
v1.1 · updated 13 September 2026

Supporting papers

Shorter documents that support a paper of the programme and cite it for their claims. Each carries its own DOI and states which paper it supports.

Does Control Survive Recursive Self-Improvement? The ARC Theory, in Two Pages

The whole claim in one sitting: question, five claims, the three ARC Laws graded, dates, kill conditions, retraction and invitation.

First published 17 August 2026
v2.0 · updated 18 August 2026 · supporting paper of The ARC Theory: Statement Paper

Beside the series

Distinct axes alongside the empirical series: the cognitive profile behind the work, and the original speculative hypothesis, preserved and dated.

C
Polymathy and Neurodivergent Cognition: the Polymathic Neurodivergent Profile (PNP) and the Capability-Adjustment Fallacy

Paper C: a falsifiable descriptive framework for radical cognitive asymmetry, the Capability-Adjustment Fallacy, a documented live case across…

First published 3 July 2026
v1.7 · updated 13 September 2026
HRIH
The Hyperspace Recursive Intelligence Hypothesis - A Testable Creation Theory

Labelled speculation, held apart from the argument and severable from it: where does recursive self-improvement end? A testable creation theory: if…

First published 3 July 2026
v3.47 · updated 13 September 2026

Supporting frameworks

The ARC Principle: Recursive Amplification as a Cross-Domain Structural Principle

In the past eighteen months, a versioned set of related external research developments have discovered that recursive or recurrent processing produces capability…

First published 13 February 2026
v5.15 · updated 13 September 2026
On the Origin of Scaling Laws

A mouse's heart beats 600 times per minute; an elephant's beats 28; a blue whale's beats 6. This paper traces the origin of scaling laws across…

First published 22 February 2026
v3.6 · updated 13 September 2026
Eden Protocol: Philosophical Vision

Every engineering project begins with requirements. Every set of requirements begins with purpose. And every purpose, traced back far enough, arrives…

First published 22 February 2026
v2.4 · updated 13 September 2026
Eden Engineering: Public Research Note Withdrawn

Withdrawn from circulation on 14 July 2026 pending disclosure review. A withdrawal notice is retained at the canonical address.

First published 22 February 2026
withdrawn 14 July 2026
ARC/Eden Research Programme: Executive Summary

As AI gets smarter, it does not reliably get safer, and the methods used to measure safety are themselves unreliable. This executive summary provides…

First published 22 February 2026
v2.2 · updated 13 September 2026
ARC Principle Paper Suite: Master Table of Contents and Glossary

This document provides a master table of contents, reading guide, timeline, key results summary, and glossary for the complete ARC Principle paper…

First published 16 March 2026
v3.5 · updated 13 September 2026

Evidence infrastructure

The verification layer. Every claim links to its source; every source is hashed.

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