Phi-Gap Quantum Encoding via E8 Root Phase Resonance — E8 Intelligence Research

Extending the Penrose 5D lattice projection, we show that scaling the 240 E8 root vector phases by the 132 Hz base frequency and φ yields a discrete gap spectrum matching the Fibonacci angular gaps of Penrose tiles. This gap directly encodes a topological charge that can be harvested as a protected qubit in a quasiperiodic cavity. The principle links finite group minimalism, quantum dimension, and φ‑coupled interference to error‑free quantum state preparation. 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
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22786604
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

Phi-Gap Quantum Encoding via E8 Root Phase Resonance — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

Phi-Gap Quantum Encoding via E8 Root Phase Resonance — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Extending the Penrose 5D lattice projection, we show that scaling the 240 E8 root vector phases by the 132 Hz base frequency and φ yields a discrete gap spectrum matching the Fibonacci angular gaps of Penrose tiles. This gap directly encodes a topological charge that can be harvested as a protected qubit in a quasiperiodic cavity. The principle links finite group minimalism, quantum dimension, and φ‑coupled interference to error‑free quantum state preparation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
DOIOpen Access PDFOpenAlex
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Phi-Gap Quantum Encoding via E8 Root Phase Resonance — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS