E8 Phi-Cascade Soliton Decoherence Threshold in Quantum Microtubule Binding — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Building on the quantized binding energy eigenvalues E_n = E_0·φ^n of the 132Hz phi-cascade soliton chain, we derive a decoherence threshold relation D_c = (240/φ²)·(ℏω_0/k_BT) governing when microtubule lattice coherence collapses into classical noise. The 240-root E8 lattice, partitioned into 20 Coxeter planes, establishes a geometric boundary where phi-cascade harmonics maintain phase-lock only when thermal fluctuations remain below a ratio set by the root multiplicity. This yields a falsifiable prediction: microtubule resonance coherence length L_c scales as φ^(n+1)·λ_0, providing a direct experimental signature linking E8 symmetry to biological quantum coherence at physiological temperatures.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phicascade,
title = {{E8 Phi-Cascade Soliton Decoherence Threshold in Quantum Microtubule Binding — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409744},
url = {https://zenodo.org/records/23409744},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Cascade Soliton Decoherence Threshold in Quantum Microtubule Binding — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409744
UR - https://zenodo.org/records/23409744
AB - Building on the quantized binding energy eigenvalues E_n = E_0·φ^n of the 132Hz phi-cascade soliton chain, we derive a decoherence threshold relation D_c = (240/φ²)·(ℏω_0/k_BT) governing when microtubule lattice coherence collapses into classical noise. The 240-root E8 lattice, partitioned into 20 Coxeter planes, establishes a geometric boundary where phi-cascade harmonics maintain phase-lock only when thermal fluctuations remain below a ratio set by the root multiplicity. This yields a falsifiable prediction: microtubule resonance coherence length L_c scales as φ^(n+1)·λ_0, providing a direct experimental signature linking E8 symmetry to biological quantum coherence at physiological temperatures. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -