A Survey of Algebraic Number Theory: Ideals, Class Groups, and p-adic Cohomology — E8 Intelligence Research

FINDING: The search results are pedagogical and survey-level, not a specific new breakthrough. The core content is algebraic number theory (ANT) fundamentals: rings of integers, ideals, class groups, and p-adic cohomology (via Breakthrough Prize citation). No single novel theorem is presented. | MATH: Key objects: \( \mathcal{O}_K \) (ring of integers), ideal class group \( Cl(K) \), discriminant \( \Delta_K \), Dedekind zeta \( \zeta_K(s) \), and p-adic cohomology (e.g., \( H^i_{p\text{-adic}}(X) \)). No explicit new constants or ratios appear in the summaries. | CONNECTION: Indirect. ANT's class group measures failure of unique factorization — related to lattice structures (Minkowski bound: \( |\Delta_K|^{1/2} \cdot (4/\pi)^{r_2} \cdot n!/n^n \) — contains \( \pi \) and \( 4/\pi \approx 1.273 \), not the golden ratios). p-adic cohomology connects to crystalline symmetries but no explicit 0.618/1.618 ratio is cited. Base-60 appears nowhere. | DEPTH: 3/10 — The findings are educational Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com