Layman with no degree directs AI agents to derive Newton's G to 1.86 ppm
A layperson has directed AI agents to derive a closed-form expression for Newton's gravitational constant G, achieving a match to within 1.86 parts per million. This research involved an exhaustive search of 2.67 billion expressions, resulting in a unique formula that has passed various tests for accuracy. The work demonstrates the potential for non-experts to engage in complex scientific inquiries with the assistance of advanced AI technologies.
- ▪The derived expression for G is G = (4/3) · (ℏ c / m_e²) · α²¹ · exp(−5α/2).
- ▪The research was conducted by AI agents under the direction of an independent researcher with no formal physics training.
- ▪The study highlights how a layperson can utilize AI to explore significant scientific questions and produce credible research.
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Story provenance
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Record
| Original publisher | GitHub |
| Canonical URL | https://github.com/oldrich-research/gravitational-constant-relation |
| Publication time | Sun, 24 May 2026 20:41:31 +0000 |
| Retrieval time | 2026-05-24T20:57:34.489Z |
| Last seen | 2026-05-24T20:57:34.489Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | -lQlxn48eM9h |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
A High-Precision Phenomenological Relation for Newton's Constant A single closed-form expression that reproduces Newton's gravitational constant G from the electron mass, the reduced Planck constant, the speed of light, and the fine-structure constant alone: G = (4/3) · (ℏ c / m_e²) · α²¹ · exp(−5α/2) Evaluated at CODATA 2022, this matches the measured value of G to within the 2.2 × 10⁻⁵ relative uncertainty of the CODATA value itself. The relation was discovered by an exhaustive bounded equation search through 2.67 billion raw expressions yielding 777,191 canonical-unique survivors at enumeration cost cap C=21 (jl15 engine, completed 2026-05-20), and survived a battery of sham-parity, swap, and family-classification tests designed to rule out numerical accidents.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at GitHub.