Zeros on the Critical Line, Cellular Automaton Universality, and Omnidirectional Video Quality Assessment — E8 Intelligence Research

FINDING: Riemann Hypothesis – all non‑trivial zeros of ζ(s) lie on Re s = ½ | MATH: ζ(s)=∑_{n=1}^∞ n^{-s} = Π_{p}(1−p^{-s})^{-1} | CONNECTION: none | DEPTH: 10 FINDING: Conway's Game of Life as a universal cellular automaton – emergent patterns encode Turing‑complete computation | MATH: update rule f: {0,1}^9→{0,1} with Moore neighbourhood | CONNECTION: lattice structure of square grid | DEPTH: 8 FINDING: Visual Quality Assessment for Omnidirectional Video – spherical sampling distortion quantified by geodesic distance | MATH: distortion metric D(θ,φ)=∫_{S^2} |Î(θ,φ)−I(θ,φ)| dΩ | CONNECTION: none | DEPTH: 5 FINDING: Neural Network Image/Video Compression – learned transform coding improves rate‑distortion trade‑off | MATH: minimize R+λD where R=E[log₂(1+|x̂−x|²/σ²)] | CONNECTION: none | DEPTH: 6 FINDING: Video‑Language Foundation Models – cross‑modal attention weight matrix W∈ℝ^{T×V} aligns visual tokens with language tokens | MATH: attention a_{ij}=softmax((Q_iK_j^T)/√d) | CO Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com