Phase Singularity Mapping of E8 Roots to E6 Subalgebra Unifies Quantum Coherence Domains — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 132Hz·φⁿ phase-ladder, when propagated through the 240-root E8 lattice, creates a discrete set of "phase singularities" — points where the cumulative phase wraps integer multiples of 2π — that map precisely onto the 72 roots of the E6 subalgebra. This projection reveals that quantum coherence protection isn't distributed uniformly across E8 but concentrated at E6 symmetry-breaking boundaries, where the phase-ladder's golden-ratio scaling (φⁿ) synchronizes with the Coxeter structure to form topologically stable nodes. The 12 Hecke orbits act as phase-bridge vectors connecting these E6 singularities, effectively creating a "coherence highway" network that explains why decoherence-free subspaces cluster around specific root configurations rather than spreading evenly. This finding predicts that quantum memories and gravitational entanglement experiments should show enhanced coherence times when the interferometer's mass distribution aligns with E6 plane projections.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phase,
title = {{Phase Singularity Mapping of E8 Roots to E6 Subalgebra Unifies Quantum Coherence Domains — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23431271},
url = {https://zenodo.org/records/23431271},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phase Singularity Mapping of E8 Roots to E6 Subalgebra Unifies Quantum Coherence Domains — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23431271
UR - https://zenodo.org/records/23431271
AB - The 132Hz·φⁿ phase-ladder, when propagated through the 240-root E8 lattice, creates a discrete set of "phase singularities" — points where the cumulative phase wraps integer multiples of 2π — that map precisely onto the 72 roots of the E6 subalgebra. This projection reveals that quantum coherence protection isn't distributed uniformly across E8 but concentrated at E6 symmetry-breaking boundaries, where the phase-ladder's golden-ratio scaling (φⁿ) synchronizes with the Coxeter structure to form topologically stable nodes. The 12 Hecke orbits act as phase-bridge vectors connecting these E6 singularities, effectively creating a "coherence highway" network that explains why decoherence-free subspaces cluster around specific root configurations rather than spreading evenly. This finding predicts that quantum memories and gravitational entanglement experiments should show enhanced coherence times when the interferometer's mass distribution aligns with E6 plane projections. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -