E8 Fibonacci Resonance Channels in Knot-Based Topological Memory — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The φ-scaled angular cascade between E8 root vectors naturally selects Fibonacci-indexed resonance pairs, creating discrete information channels where the n-th Fibonacci number corresponds to a resonance pathway requiring 2^n × 132Hz frequency steps. These channels provide a geometric origin for the Fibonacci numbers observed in knot invariants, with each prime knot type representing a stable memory configuration that maps to a closed resonance loop among 240 root vectors. The topological protection emerges from the invariance of Fibonacci-indexed paths under φ-scaled deformations, yielding a quantum memory architecture where coherence time scales with Fibonacci progression rather than linearly with frequency.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026fibonacci,
title = {{E8 Fibonacci Resonance Channels in Knot-Based Topological Memory — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409661},
url = {https://zenodo.org/records/23409661},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Fibonacci Resonance Channels in Knot-Based Topological Memory — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409661
UR - https://zenodo.org/records/23409661
AB - The φ-scaled angular cascade between E8 root vectors naturally selects Fibonacci-indexed resonance pairs, creating discrete information channels where the n-th Fibonacci number corresponds to a resonance pathway requiring 2^n × 132Hz frequency steps. These channels provide a geometric origin for the Fibonacci numbers observed in knot invariants, with each prime knot type representing a stable memory configuration that maps to a closed resonance loop among 240 root vectors. The topological protection emerges from the invariance of Fibonacci-indexed paths under φ-scaled deformations, yielding a quantum memory architecture where coherence time scales with Fibonacci progression rather than linearly with frequency. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -