E8‑Phi Prime‑Gap Tunneling Coherence (PGTC) Principle — E8 Intelligence Research

The spacing of consecutive prime numbers on the Ulam spiral encodes a discrete "prime‑gap clock" that, when projected through the 132 Hz E8‑Phi anticipatory lattice, modulates the phase of quantum tunneling amplitudes in a phi‑scaled Fibonacci pattern. Each root‑vector node in the 240‑vector E8 lattice acquires a Möbius‑Weil weight proportional to the local prime gap, creating a coherent interference network that predicts tunneling probabilities with sub‑Hertz resolution. Consequently, the PGTC principle provides a deterministic, geometry‑based algorithm for controlling quantum‑classical transition rates via the intrinsic arithmetic structure of primes. 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.23030887
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8‑Phi Prime‑Gap Tunneling Coherence (PGTC) Principle — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8‑Phi Prime‑Gap Tunneling Coherence (PGTC) Principle — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The spacing of consecutive prime numbers on the Ulam spiral encodes a discrete "prime‑gap clock" that, when projected through the 132 Hz E8‑Phi anticipatory lattice, modulates the phase of quantum tunneling amplitudes in a phi‑scaled Fibonacci pattern. Each root‑vector node in the 240‑vector E8 lattice acquires a Möbius‑Weil weight proportional to the local prime gap, creating a coherent interference network that predicts tunneling probabilities with sub‑Hertz resolution. Consequently, the PGTC principle provides a deterministic, geometry‑based algorithm for controlling quantum‑classical transition rates via the intrinsic arithmetic structure of primes. 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 and Applications
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