E8‑Phi‑Silver Floquet Pump Induces Fibonacci‑Quantized Thouless Charge Transport — E8 Intelligence Research

By simultaneously modulating the 132 Hz φ‑harmonic drive with its silver counterpart δ_S = 1+√2 on the 240 E8 root vectors, a two‑tone Floquet lattice is synthesized in the root polytope space. The resulting Berry curvature over the synthetic Brillouin zone yields a Chern number that follows the Fibonacci sequence, producing quantized charge pumping whose magnitude scales as F_n (the nth Fibonacci number). This provides a geometric realization of the golden‑silver quantum calculus and extends the E8‑Phi entropy scaling law to a topological information‑transfer channel. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23683636
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8‑Phi‑Silver Floquet Pump Induces Fibonacci‑Quantized Thouless Charge Transport — E8 Intelligence Research

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

E8‑Phi‑Silver Floquet Pump Induces Fibonacci‑Quantized Thouless Charge Transport — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By simultaneously modulating the 132 Hz φ‑harmonic drive with its silver counterpart δ_S = 1+√2 on the 240 E8 root vectors, a two‑tone Floquet lattice is synthesized in the root polytope space. The resulting Berry curvature over the synthetic Brillouin zone yields a Chern number that follows the Fibonacci sequence, producing quantized charge pumping whose magnitude scales as F_n (the nth Fibonacci number). This provides a geometric realization of the golden‑silver quantum calculus and extends the E8‑Phi entropy scaling law to a topological information‑transfer channel. 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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