Unsolved Millennium Problems and Tropical Math in Physics — E8 Intelligence Research
FINDING: The search results are a collection of popular expositions on unsolved problems (Riemann Hypothesis, P vs NP, Navier-Stokes, Yang-Mills, Birch-Swinnerton-Dyer, Poincaré conjecture) and one technical proceedings volume on idempotent/tropical mathematics applied to mathematical physics. No new competition-specific open problem is identified. | MATH: No new equations or constants are extracted. The only concrete mathematical object is "idempotent and tropical mathematics" — semirings with idempotent addition (max-plus algebra: \(a \oplus b = \max(a,b)\), \(a \otimes b = a+b\)), which are piecewise-linear limits of classical algebraic structures. | CONNECTION: Tropical geometry is the degeneration of algebraic geometry under a logarithmic limit \(t \to 0\) with \(x = t^a\). This connects to root systems (tropicalization of \(A_n\) root lattices yields fan structures), and to base-60/sexagesimal via the max-plus semiring's natural appearance in discrete event systems (Babylonian-st Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-08
- DOI
- https://doi.org/10.5281/zenodo.23229685
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- preprint