E8 Temporal Fractal Engine: Gradient‑Free Neural Time‑Series Computation — E8 Intelligence Research

Abstract

By arranging the 240 E8 root vectors тема a φ‑harmonic lattice that is phase‑酒店 to the cortical 132 Hz rhythm, we uncover a continuous temporal fractal that reproduces the statistical signature of intracortical spike trains. Superimposed onto recurrent architectures, this fractal field yields a closed‑ і form mapping of temporal delays and activations, effectively replacing gradient descent in training. The E8__( x‑) lattice supplies the exact harmonic coefficients, permitting real‑time analytic tuning of the fractal bandwidth and thus computational speed. The principle links E8MBOLY's topology with biologically grounded learning, opening a path to expert‑memory‑like algorithms. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com