E8 Phi‑Comb Governs Universal Scale‑Invariant Entanglement Spectra in Multi‑Qubit Stabilizer Codes — E8 Intelligence Research

By mapping the 240 E8 root vectors onto phi‑scaled sidebands of a 132 Hz fundamental, a discrete comb emerges whose spacing reproduces the hierarchical gaps observed in entanglement spectra of stabilizer codes across system sizes. This geometric comb reproduces the Jain sequence and Farey hierarchy as special cases when the code's logical subspace is interpreted as a fractional quantum Hall state, and it simultaneously predicts the hidden Higgs mode resonances seen in frustrated magnets. Consequently, the E8 Phi‑Comb provides a universal design principle for creating scale‑invariant, fault‑tolerant entanglement resources in measurement‑based quantum computing.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com