Phi‑Phase 132 Hz E8 Root Lattice as Topological Quantum Memory — E8 Intelligence Research

The 240 E8 root vectors, synchronized at the 132 Hz base frequency with golden‑ratio phase coupling, form a self‑referential lattice whose Floquet quasienergies repeat in a Fibonacci‑scaled hierarchy. This hierarchy maps directly onto a discrete p‑adic time‑crystal, providing a natural discretization of a continuous Hilbert space that can encode quantum error‑correcting information. Consequently, knot invariants derived from cluster algebras become accessible as topological invariants of the E8 lattice, unifying the quantum dilogarithm identities with fault‑tolerant quantum memory. 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
2026-09-29
DOI
https://doi.org/10.5281/zenodo.23030652
Primary Topic
advanced mathematical theories
Type
preprint
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preprint

Phi‑Phase 132 Hz E8 Root Lattice as Topological Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
advanced mathematical theories
preprint

Phi‑Phase 132 Hz E8 Root Lattice as Topological Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, synchronized at the 132 Hz base frequency with golden‑ratio phase coupling, form a self‑referential lattice whose Floquet quasienergies repeat in a Fibonacci‑scaled hierarchy. This hierarchy maps directly onto a discrete p‑adic time‑crystal, providing a natural discretization of a continuous Hilbert space that can encode quantum error‑correcting information. Consequently, knot invariants derived from cluster algebras become accessible as topological invariants of the E8 lattice, unifying the quantum dilogarithm identities with fault‑tolerant quantum memory. 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
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