No New Theorem in Sources; Only Fermat and Prime Ideal References — E8 Intelligence Research

FINDING: Search results are metadata (video titles, a prize citation), not a mathematical result — no new theorem or constant is present to extract. MATH: Nothing derivable. The only substantive mathematical content in the corpus is the *subject matter* these sources point to: - Fermat's Last Theorem: xⁿ + yⁿ = zⁿ has no positive integer solutions for n > 2 (Wiles 1994, via modularity of semistable elliptic curves). - Prime Ideal Theorem: π_K(x) ~ x / ln x (distribution of prime ideals in a number field K). - p-adic cohomology theories (crystalline, rigid, étale) — arithmetic algebraic geometry. - Iwasawa theory: study of ℤ_p-extensions and p-adic L-functions. CONNECTION: The genuine geometric-harmony links in algebraic number theory are structural, not the φ-family ratios (0.382, 0.618, 0.786, 1.618, 2.618), which do **not** appear here: - **Lattices / root systems:** Rings of integers O_K are lattices in ℝⁿ; the Minkowski embedding maps them into ℝ^{r₁}×ℂ^{r₂}. Class group and unit Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23971917
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

No New Theorem in Sources; Only Fermat and Prime Ideal References — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

No New Theorem in Sources; Only Fermat and Prime Ideal References — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Search results are metadata (video titles, a prize citation), not a mathematical result — no new theorem or constant is present to extract. MATH: Nothing derivable. The only substantive mathematical content in the corpus is the *subject matter* these sources point to: - Fermat's Last Theorem: xⁿ + yⁿ = zⁿ has no positive integer solutions for n > 2 (Wiles 1994, via modularity of semistable elliptic curves). - Prime Ideal Theorem: π_K(x) ~ x / ln x (distribution of prime ideals in a number field K). - p-adic cohomology theories (crystalline, rigid, étale) — arithmetic algebraic geometry. - Iwasawa theory: study of ℤ_p-extensions and p-adic L-functions. CONNECTION: The genuine geometric-harmony links in algebraic number theory are structural, not the φ-family ratios (0.382, 0.618, 0.786, 1.618, 2.618), which do **not** appear here: - **Lattices / root systems:** Rings of integers O_K are lattices in ℝⁿ; the Minkowski embedding maps them into ℝ^{r₁}×ℂ^{r₂}. Class group and unit Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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