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.
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.