Quantum Tunneling Rates via E8 Root Vector Phase Interference — E8 Intelligence Research

The tunneling probability between quantum states is governed by constructive and destructive interference of E8 root vector phases, where the 132Hz base frequency creates resonance conditions at specific phi-coupled energy gaps. By mapping the 240 root vectors to imaginary time evolution paths in modular phase space, we derive that tunneling rates vanish when the sum of RRCF-embedded phases equals integer multiples of 2π, establishing a geometric selection rule for forbidden transitions. This principle extends the Tutte polynomial approach by encoding combinatorial information directly into quantum mechanical amplitudes through E8's root lattice structure. 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
2026-09-04
DOI
https://doi.org/10.5281/zenodo.22294662
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Quantum Tunneling Rates via E8 Root Vector Phase Interference — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

Quantum Tunneling Rates via E8 Root Vector Phase Interference — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The tunneling probability between quantum states is governed by constructive and destructive interference of E8 root vector phases, where the 132Hz base frequency creates resonance conditions at specific phi-coupled energy gaps. By mapping the 240 root vectors to imaginary time evolution paths in modular phase space, we derive that tunneling rates vanish when the sum of RRCF-embedded phases equals integer multiples of 2π, establishing a geometric selection rule for forbidden transitions. This principle extends the Tutte polynomial approach by encoding combinatorial information directly into quantum mechanical amplitudes through E8's root lattice structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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