E8 Phi-Harmonic Coherence Ladder for Topological Quantum Memory — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By indexing the 240 E8 root vectors across their φ-scaled angular cascade, we obtain a discrete coherence ladder in which each rung corresponds to a distinct topological memory register; knot-theoretic twisted Alexander polynomials evaluated at these rungs yield invariants that are preserved under small deformations, encoding information in the non-abelian phase holonomy of the cascade. Braiding anyonic excitations along φ-adjacent root pairs generates Fibonacci-valued topological charge transitions, since the modular representation matrix satisfies a Fibonacci recursion. The result is an E8-root-indexed topological qubit whose Fibonacci anyon statistics, phi-harmonic spacing, and knot-invariant stability collectively satisfy the DiVincenzo criteria for fault-tolerant quantum memory at the 132 Hz root lattice.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
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BibTeX
@misc{caldin2026phiharmonic,
title = {{E8 Phi-Harmonic Coherence Ladder for Topological Quantum Memory — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409658},
url = {https://zenodo.org/records/23409658},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Harmonic Coherence Ladder for Topological Quantum Memory — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409658
UR - https://zenodo.org/records/23409658
AB - By indexing the 240 E8 root vectors across their φ-scaled angular cascade, we obtain a discrete coherence ladder in which each rung corresponds to a distinct topological memory register; knot-theoretic twisted Alexander polynomials evaluated at these rungs yield invariants that are preserved under small deformations, encoding information in the non-abelian phase holonomy of the cascade. Braiding anyonic excitations along φ-adjacent root pairs generates Fibonacci-valued topological charge transitions, since the modular representation matrix satisfies a Fibonacci recursion. The result is an E8-root-indexed topological qubit whose Fibonacci anyon statistics, phi-harmonic spacing, and knot-invariant stability collectively satisfy the DiVincenzo criteria for fault-tolerant quantum memory at the 132 Hz root lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -