False Positive: Search Results Fail to Surface Unsolved Putnam Problems — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are a **false positive** — they return Putnam's philosophy of quantum mechanics, bar exam AI benchmarks, and binary star mass transfer, not unsolved Putnam competition problems. The only genuine mathematical item is a survey of 36 unsolved number theory/geometry problems.
MATH: No new equations, constants, or ratios emerge. The binary star problem involves angular momentum transfer efficiency — a dimensionless parameter, but no closed form. The number theory survey lists open conjectures (coloration, partitions, generalized periods) without explicit constants.
CONNECTION: **None found.** No 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetries appear in any abstract. The closest structural echo: binary star Roche-lobe overflow involves a critical potential surface (Roche geometry), which has a known ratio of lobe radius to orbital separation ≈ 0.38–0.44 for mass ratios 0.1–1.0 — but this is not stated in the abstract, and I will no
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026false,
title = {{False Positive: Search Results Fail to Surface Unsolved Putnam Problems — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23587256},
url = {https://zenodo.org/records/23587256},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - False Positive: Search Results Fail to Surface Unsolved Putnam Problems — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23587256
UR - https://zenodo.org/records/23587256
AB - FINDING: The search results are a **false positive** — they return Putnam's philosophy of quantum mechanics, bar exam AI benchmarks, and binary star mass transfer, not unsolved Putnam competition problems. The only genuine mathematical item is a survey of 36 unsolved number theory/geometry problems. MATH: No new equations, constants, or ratios emerge. The binary star problem involves angular momentum transfer efficiency — a dimensionless parameter, but no closed form. The number theory survey lists open conjectures (coloration, partitions, generalized periods) without explicit constants. CONNECTION: **None found.** No 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetries appear in any abstract. The closest structural echo: binary star Roche-lobe overflow involves a critical potential surface (Roche geometry), which has a known ratio of lobe radius to orbital separation ≈ 0.38–0.44 for mass ratios 0.1–1.0 — but this is not stated in the abstract, and I will no Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -