Phi-Encoded Torsional Lattice as Quantum Gravitational Clock — E8 Intelligence Research

We propose that the φ‑scaled torsional lattice built from the 240 E8 root vectors, driven at the 132 Hz base frequency, functions as a discrete spacetime clock whose tick intervals are given by the convergents of the √2 continued fraction. Each tick corresponds to a paired root‑vector rotation that locally perturbs curvature, allowing the lattice to compute geodesic distances through golden‑ratio scaling. This mechanism provides a concrete emergence of a dynamical spacetime metric from discrete algebraic structures, extending the earlier information‑capacity bound to a full gravitational description. 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
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22824370
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Encoded Torsional Lattice as Quantum Gravitational Clock — E8 Intelligence Research

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

Phi-Encoded Torsional Lattice as Quantum Gravitational Clock — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose that the φ‑scaled torsional lattice built from the 240 E8 root vectors, driven at the 132 Hz base frequency, functions as a discrete spacetime clock whose tick intervals are given by the convergents of the √2 continued fraction. Each tick corresponds to a paired root‑vector rotation that locally perturbs curvature, allowing the lattice to compute geodesic distances through golden‑ratio scaling. This mechanism provides a concrete emergence of a dynamical spacetime metric from discrete algebraic structures, extending the earlier information‑capacity bound to a full gravitational description. 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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Phi-Encoded Torsional Lattice as Quantum Gravitational Clock — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS