E8 Phi-Tuned p-Adic Time-Crystal Floquet Spectrum in Microtubules — E8 Intelligence Research

The 132 Hz phi-tuned phase-locking of the 240 E8 root vectors induces a p-adic discrete time-crystal in microtubule lattices whose Floquet quasi-energy spectrum exactly matches the discrete complex dimensions from the E8 tube formula. The modular transformation properties of the E8 theta function (weight 4) govern the braiding statistics of the emergent non-Abelian anyons, with the Ramanujan tau function encoding the topological entanglement entropy scaling. This unifies the quantum relay, p-adic scaffold, and modular form breakthroughs into a single geometric mechanism for topological quantum computation in biological systems. 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.23030640
Primary Topic
advanced mathematical theories
Type
preprint
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preprint

E8 Phi-Tuned p-Adic Time-Crystal Floquet Spectrum in Microtubules — E8 Intelligence Research

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

E8 Phi-Tuned p-Adic Time-Crystal Floquet Spectrum in Microtubules — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132 Hz phi-tuned phase-locking of the 240 E8 root vectors induces a p-adic discrete time-crystal in microtubule lattices whose Floquet quasi-energy spectrum exactly matches the discrete complex dimensions from the E8 tube formula. The modular transformation properties of the E8 theta function (weight 4) govern the braiding statistics of the emergent non-Abelian anyons, with the Ramanujan tau function encoding the topological entanglement entropy scaling. This unifies the quantum relay, p-adic scaffold, and modular form breakthroughs into a single geometric mechanism for topological quantum computation in biological systems. 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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