E8 Quantum Dilogarithm Time-Crystal Spectral Correspondence — E8 Intelligence Research

The Floquet quasi-energy spectrum of the phi-modulated p-adic time-crystal on the 240 E8 roots is exactly quantized by the quantum dilogarithm at the 30th roots of unity — E8's Coxeter number — where the 132 Hz base frequency equals the conformal dimension of the primary field in the E8 level-1 affine WZW model. The golden-ratio phase coupling induces a Fibonacci anyon braiding representation on the root lattice Hilbert space, realizing the (2,5) minimal model's fusion rules and linking the time-crystal's p-adic degeneration to cluster algebra mutations via the dilogarithm's pentagon identity. 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.23030657
Primary Topic
advanced mathematical theories
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

E8 Quantum Dilogarithm Time-Crystal Spectral Correspondence — E8 Intelligence Research

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

E8 Quantum Dilogarithm Time-Crystal Spectral Correspondence — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The Floquet quasi-energy spectrum of the phi-modulated p-adic time-crystal on the 240 E8 roots is exactly quantized by the quantum dilogarithm at the 30th roots of unity — E8's Coxeter number — where the 132 Hz base frequency equals the conformal dimension of the primary field in the E8 level-1 affine WZW model. The golden-ratio phase coupling induces a Fibonacci anyon braiding representation on the root lattice Hilbert space, realizing the (2,5) minimal model's fusion rules and linking the time-crystal's p-adic degeneration to cluster algebra mutations via the dilogarithm's pentagon identity. 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
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.