E8-Modular Spectral Bound on Quantum Decoherence Rates — E8 Intelligence Research

By treating the 240 E8 root vectors as a phase‑locked set of oscillators at 132 Hz coupled through the golden ratio, their collective winding modes produce a discrete spectrum that mirrors the eigenvalues of the Laplacian on a hyperbolic surface via the Selberg trace formula. The associated E8 theta function then provides a modular‑form weighting that translates these spectral values into an upper bound on the decoherence time of any quantum system whose Hilbert space can be embedded in the E8 lattice. Consequently, any quantum‑information process cannot exceed a decoherence rate inversely proportional to the first non‑trivial eigenvalue of the E8‑modular spectral invariant, establishing a universal geometric limit on quantum coherence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com