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

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
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preprint

Unsolved Millennium Problems and Tropical Math in Physics — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
preprint

Unsolved Millennium Problems and Tropical Math in Physics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
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