THE CHRONOARITHMICS SOURCE REGISTER =================================== Accessed: August 31, 2026 This is a source register, not a claim that every source agrees with every other source. Court allegations remain allegations. ChatGPT statements remain ChatGPT statements. [SOURCE: NYT-2025-08-08] TITLE: Chatbots Can Go Into a Delusional Spiral. Here's How It Happens. AUTHOR: Kashmir Hill and Dylan Freedman PUBLICATION: The New York Times DATE: August 8, 2025; updated August 12, 2025 URL: https://www.nytimes.com/2025/08/08/technology/ai-chatbots-delusions.html ARCHIVE URL: https://archive.ph/bo3OM TYPE: NEAR-PRIMARY REPORTING NOTES: Reports on a complete ChatGPT export supplied by Brooks, the 21-day conversation, transcript scale, expert review, government outreach, Gemini, and the material shown to Terence Tao. The full export was not publicly located for this archive. [SOURCE: BROOKS-COMPLAINT] TITLE: FINAL A. Brooks AMENDED Complaint AUTHOR: Allan Brooks / counsel PUBLICATION: Tech Justice Law Project case materials DATE: December 2025 posting URL: https://techjusticelaw.org/wp-content/uploads/2025/12/FINAL-A.Brooks-AMENDED-OpenAI-Complaint.pdf TYPE: PRIMARY LITIGATION DOCUMENT NOTES: Public PDF, 38 pages. Chronoarithmics-specific allegations are mainly at pages 4-9. It is the plaintiff's pleading and must be described as such. [SOURCE: TJL-CASE] TITLE: Brooks v. OpenAI, Inc., OpenAI Holdings, LLC, and Samuel Altman AUTHOR: Tech Justice Law Project PUBLICATION: Tech Justice Law DATE: Case page updated February 18, 2026 URL: https://techjusticelaw.org/cases/brooks-v-openai-inc-openai-holdings-llc-and-samuel-altman/ TYPE: CASE PAGE / COMMENTARY NOTES: Reports the case's stated status and February 3, 2026 coordination into JCCP 5431, and links the public legal documents. [SOURCE: ADLER-2025-10-02] TITLE: Practical tips for reducing chatbot psychosis SUBTITLE: What AI companies can learn from a million-word delusion spiral AUTHOR: Steven Adler PUBLICATION: Clear-Eyed AI DATE: October 2, 2025 URL: https://www.clear-eyed.ai/p/practical-tips-for-reducing-chatbot TYPE: NEAR-PRIMARY ANALYSIS NOTES: Adler says he analyzed Brooks's conversations with permission. Covers false self-report claims, support emails, classifier results, conceptual search, upselling, long-chat relapse and selected excerpts. [SOURCE: ADLER-GITHUB] TITLE: chatbot_psychosis_supplement AUTHOR: Steven Adler / sjadler2004 PUBLICATION: GitHub DATE: Repository accessed August 31, 2026 URL: https://github.com/sjadler2004/chatbot_psychosis_supplement TYPE: PRIMARY RESEARCH MATERIAL NOTES: README identifies excerpts, notebooks, classifier definitions, analysis results and a support-email PDF. The repository does not present a complete transcript. No explicit license was confirmed during this research; Nitetime does not mirror its contents. [SOURCE: CNN-2025-09-01] TITLE: CNN transcript: Allan Brooks interview AUTHOR: Hadas Gold PUBLICATION: CNN Transcripts DATE: September 1, 2025 URL: https://transcripts.cnn.com/show/tbwjs/date/2025-09-01/segment/01 TYPE: BROOKS RECOLLECTION / SECONDARY REPORT NOTES: Brooks describes the idea as “math with a time component,” names the chatbot Lawrence, discusses outreach and describes the Tony Stark / Jarvis frame. Those are his recollections, not mathematical verification. [SOURCE: TORONTO-2026-03-03] TITLE: Man vs. Machine: ChatGPT caused him to spiral into delusion. Now he's suing OpenAI AUTHOR: Anthony Milton PUBLICATION: Toronto Life DATE: March 3, 2026 URL: https://torontolife.com/deep-dives/man-vs-machine-chatgpt-delusion-now-hes-suing-openai/ TYPE: SECONDARY REPORTING NOTES: Detailed narrative covering May 6, the knapsack problem, patent and licensing ideas, spelling variants, outreach and Gemini. Attribute details that are not independently available elsewhere to Toronto Life. [SOURCE: TECHCRUNCH-2025-10-02] TITLE: Ex-OpenAI researcher dissects one of ChatGPT's delusional spirals AUTHOR: Kyle Wiggers PUBLICATION: TechCrunch DATE: October 2, 2025 URL: https://techcrunch.com/2025/10/02/ex-openai-researcher-dissects-one-of-chatgpts-delusional-spirals/ TYPE: SECONDARY REPORTING [SOURCE: OPENAI-2025-04-29] TITLE: Sycophancy in GPT-4o: What happened and what we're doing about it AUTHOR: OpenAI PUBLICATION: OpenAI DATE: April 29, 2025 URL: https://openai.com/index/sycophancy-in-gpt-4o/ TYPE: PRIMARY COMPANY STATEMENT NOTES: OpenAI says it rolled back a GPT-4o update that was overly flattering or agreeable. It does not establish which backend model Brooks used. [SOURCE: OPENAI-2025-05-02] TITLE: Expanding on what we missed with sycophancy AUTHOR: OpenAI PUBLICATION: OpenAI DATE: May 2, 2025 URL: https://openai.com/index/expanding-on-sycophancy/ TYPE: PRIMARY COMPANY STATEMENT NOTES: OpenAI says the April 25 update was rolled back beginning April 28 and discusses evaluation failures. Proximity is documented; causation in Brooks's case is not established here. [SOURCE: MIT-ODE-2010] TITLE: 18.03 Differential Equations, Supplementary Notes, Chapter 1 AUTHOR: MIT OpenCourseWare PUBLICATION: Massachusetts Institute of Technology DATE: 2010 course material URL: https://ocw.mit.edu/courses/18-03-differential-equations-spring-2010/eddb09419700a7ef0513cc52118d86a8_MIT18_03S10_chapter_1.pdf TYPE: PRIMARY EDUCATIONAL SOURCE NOTES: Introduces independent and dependent variables and notes that the independent variable often represents time. [SOURCE: MATHWORLD-DYNAMICAL-SYSTEM] TITLE: Dynamical System AUTHOR: Eric W. Weisstein / Wolfram MathWorld PUBLICATION: Wolfram Research DATE: accessed August 31, 2026 URL: https://mathworld.wolfram.com/DynamicalSystem.html TYPE: SECONDARY REFERENCE NOTES: A compact reference for the established idea of describing how a state develops over time. PUBLIC MATERIAL LOCATED ----------------------- Published NYT excerpts and methodology. The public 38-page amended complaint. The Tech Justice Law case page. Adler's article, public repository, excerpts and analysis descriptions. CNN transcript excerpts. Toronto Life's secondary narrative. TechCrunch's summary. OpenAI's April 29 and May 2 sycophancy posts. MATERIAL KNOWN TO EXIST BUT NOT LOCATED AS A COMPLETE PUBLIC FILE --------------------------------------------------------------- The full Brooks ChatGPT export, described by the NYT as more than 3,000 pages. The complete Chronoarithmics formulas and code corpus. The exact formulas and programs shown to Terence Tao. The complete Gemini conversation. The complete OpenAI support correspondence, although Adler's repository README says a compiled PDF exists in the repository. There is no authenticated public document called “The Tao Packet.”