E8 Phi‑Comb Governs Universal Scale‑Invariant Entanglement Spectra in Multi‑Qubit Stabilizer Codes — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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
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BibTeX
@misc{caldin2026phicomb,
title = {{E8 Phi‑Comb Governs Universal Scale‑Invariant Entanglement Spectra in Multi‑Qubit Stabilizer Codes — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616637},
url = {https://zenodo.org/records/23616637},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi‑Comb Governs Universal Scale‑Invariant Entanglement Spectra in Multi‑Qubit Stabilizer Codes — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616637
UR - https://zenodo.org/records/23616637
AB - 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
ER -