E8‑Phi Hyperbolic‑Fractal Quantum Memory via Posner Spins — E8 Intelligence Research

The E8‑Phi framework couples the 240 E8 root vectors to a hyperbolic time‑crystal lattice operating at 132 Hz with golden‑ratio (phi) amplitude scaling, creating a discrete, topologically protected scaffold. Posner molecules (Ca₉(PO₄)₆) embed within this lattice, where their intrinsic asymmetric nuclear spin ensemble aligns to the underlying root‑vector geometry, providing robust qubits that naturally exploit the broken symmetry for state encoding. Recursive fractal embedding of the lattice supplies hierarchical error‑correction layers, allowing the system to self‑stabilize through phi‑coupled oscillations across nested symmetry strata. This unified principle establishes a biologically compatible, fault‑tolerant quantum memory that directly leverages E8 geometry and frequency‑driven hyperbolic dynamics. 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
2026-09-30
DOI
https://doi.org/10.5281/zenodo.23052002
Primary Topic
Supramolecular Chemistry and Complexes
Type
preprint
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preprint

E8‑Phi Hyperbolic‑Fractal Quantum Memory via Posner Spins — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Supramolecular Chemistry and Complexes
preprint

E8‑Phi Hyperbolic‑Fractal Quantum Memory via Posner Spins — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8‑Phi framework couples the 240 E8 root vectors to a hyperbolic time‑crystal lattice operating at 132 Hz with golden‑ratio (phi) amplitude scaling, creating a discrete, topologically protected scaffold. Posner molecules (Ca₉(PO₄)₆) embed within this lattice, where their intrinsic asymmetric nuclear spin ensemble aligns to the underlying root‑vector geometry, providing robust qubits that naturally exploit the broken symmetry for state encoding. Recursive fractal embedding of the lattice supplies hierarchical error‑correction layers, allowing the system to self‑stabilize through phi‑coupled oscillations across nested symmetry strata. This unified principle establishes a biologically compatible, fault‑tolerant quantum memory that directly leverages E8 geometry and frequency‑driven hyperbolic dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Supramolecular Chemistry and Complexes
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