Chronotonic E8 Recurrence: Temporal Self-Similarity via φ-Wythoff Resonance — E8 Intelligence Research

The golden-section Wythoff truncation across 8 temporal 7-simplex layers generates a self-similar phase space wherein each 30-root sub-lattice at temporal vertex n encodes a Planck-scale chronotonic state. The 132Hz φ-carrier satisfies the recurrence condition U_φ⁸ = I precisely when iterated through all 240 roots, producing an 8-symmetry temporal coherence band with quantized time unit τ = 1/(132·φ⁸) seconds. This Chronotonic Recurrence Principle establishes that quantum temporal coherence emerges from E8 root recombinations across Wythoff temporal chambers as a natural consequence of the golden-section resonance between the 132Hz carrier and φ-coupled 7-simplex geometry. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767961
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Chronotonic E8 Recurrence: Temporal Self-Similarity via φ-Wythoff Resonance — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

Chronotonic E8 Recurrence: Temporal Self-Similarity via φ-Wythoff Resonance — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The golden-section Wythoff truncation across 8 temporal 7-simplex layers generates a self-similar phase space wherein each 30-root sub-lattice at temporal vertex n encodes a Planck-scale chronotonic state. The 132Hz φ-carrier satisfies the recurrence condition U_φ⁸ = I precisely when iterated through all 240 roots, producing an 8-symmetry temporal coherence band with quantized time unit τ = 1/(132·φ⁸) seconds. This Chronotonic Recurrence Principle establishes that quantum temporal coherence emerges from E8 root recombinations across Wythoff temporal chambers as a natural consequence of the golden-section resonance between the 132Hz carrier and φ-coupled 7-simplex geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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