Scattered Educational Videos and One Lattice Paper: No Unified Discovery — E8 Intelligence Research

Abstract

FINDING: The search results are a scattered collection of educational videos and one lattice-QCD paper, with no unified mathematical discovery; the only substantive mathematical content is the definition of distributive lattices and the existence of polynomial-time reductions in complexity theory. MATH: - Distributive lattice: A lattice \((L, \vee, \wedge)\) satisfying \(x \wedge (y \vee z) = (x \wedge y) \vee (x \wedge z)\) and dually. - Polynomial-time reduction: \(A \le_p B\) iff there exists a function \(f\) computable in \(O(n^k)\) such that \(x \in A \iff f(x) \in B\). - Lattice QCD: Heavy-quark mass \(m_Q\) extracted from lattice correlation functions \(C(t) \propto e^{-m_Q t}\) with one-loop perturbative matching; no closed-form constants given in the abstract. CONNECTION: - Distributive lattices are dual to posets (Birkhoff's representation theorem: every finite distributive lattice is isomorphic to the lattice of down-sets of a poset). This is a *root-system-adj Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com