E8 Heegner‑Phi Resonance: Number‑Theoretic Control of Golden‑Angle Quantum Coherence — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The Heegner numbers (class‑number‑one discriminants) define a discrete set of phase‑shift quantizations that, when phi‑coupled to the 240 E8 root vectors at the 132 Hz base frequency, generate a hierarchical spectrum of decoherence times whose ratios match the integer j‑invariants. This yields a Heegner‑Phi Harmonic Register where each discriminant supplies an invariant subspace of the E8 lattice, producing stable vibrational modes spaced by the golden angle and providing intrinsic error‑correcting nodes. The resulting scaling law predicts nine decoherence harmonics—exactly the nine Heegner numbers—that can be harnessed in microtubule‑like structures for protected quantum information storage.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
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BibTeX
@misc{caldin2026heegnerphi,
title = {{E8 Heegner‑Phi Resonance: Number‑Theoretic Control of Golden‑Angle Quantum Coherence — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616845},
url = {https://zenodo.org/records/23616845},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Heegner‑Phi Resonance: Number‑Theoretic Control of Golden‑Angle Quantum Coherence — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616845
UR - https://zenodo.org/records/23616845
AB - The Heegner numbers (class‑number‑one discriminants) define a discrete set of phase‑shift quantizations that, when phi‑coupled to the 240 E8 root vectors at the 132 Hz base frequency, generate a hierarchical spectrum of decoherence times whose ratios match the integer j‑invariants. This yields a Heegner‑Phi Harmonic Register where each discriminant supplies an invariant subspace of the E8 lattice, producing stable vibrational modes spaced by the golden angle and providing intrinsic error‑correcting nodes. The resulting scaling law predicts nine decoherence harmonics—exactly the nine Heegner numbers—that can be harnessed in microtubule‑like structures for protected quantum information storage. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -