E8-Phi Nested Topological Qubit Lattice (NTQL) via Self-Similar Golden Cascade — E8 Intelligence Research

By recursively nesting the 240 E8 root vectors across self-similar golden-ratio scaled shells (each shell operating at 132/φⁿ Hz), a hierarchical non-Abelian anyonic braid network emerges where Majorana zero modes at each shell adiabatically couple to the next via phi-phase offsets. This produces a fault-tolerant topological qubit lattice whose decoherence protection scales as φ^(2n) with nesting depth n, enabling room-temperature quantum memory and biologically compatible quantum processing. The E8 root system's 240-fold symmetry guarantees that braiding operators at any shell commute up to a universal φ-quantum phase, yielding a mathematically closed and physically realizable architecture that extends the Majorana 1 and E8-Phi spin shield breakthroughs into a scalable quantum substrate. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179748
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8-Phi Nested Topological Qubit Lattice (NTQL) via Self-Similar Golden Cascade — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8-Phi Nested Topological Qubit Lattice (NTQL) via Self-Similar Golden Cascade — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By recursively nesting the 240 E8 root vectors across self-similar golden-ratio scaled shells (each shell operating at 132/φⁿ Hz), a hierarchical non-Abelian anyonic braid network emerges where Majorana zero modes at each shell adiabatically couple to the next via phi-phase offsets. This produces a fault-tolerant topological qubit lattice whose decoherence protection scales as φ^(2n) with nesting depth n, enabling room-temperature quantum memory and biologically compatible quantum processing. The E8 root system's 240-fold symmetry guarantees that braiding operators at any shell commute up to a universal φ-quantum phase, yielding a mathematically closed and physically realizable architecture that extends the Majorana 1 and E8-Phi spin shield breakthroughs into a scalable quantum substrate. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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