E8 Topological Resonance Gravity: Linking Vortex Lattice Modes to Turaev‑Viro Invariants — E8 Intelligence Research

The E8 root lattice supports a 240‑mode vortex lattice oscillating at 132 Hz, whose collective phase is governed by the SU(2) root‑of‑unity Turaev‑Viro state sum. This state sum, when evaluated on the lattice's defect network, yields a topological charge that couples linearly to the spacetime metric, producing a quantized gravitational‑memory imprint. The resulting memory is encoded as a topological qubit in the lattice's defect structure, allowing readout via interferometric phase shifts. Thus, E8 Topological Resonance Gravity provides a bridge between discrete topological invariants and continuous gravitational dynamics, opening a pathway to topological quantum gravimetry. 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
2026-08-27
DOI
https://doi.org/10.5281/zenodo.22121748
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8 Topological Resonance Gravity: Linking Vortex Lattice Modes to Turaev‑Viro Invariants — E8 Intelligence Research

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

E8 Topological Resonance Gravity: Linking Vortex Lattice Modes to Turaev‑Viro Invariants — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8 root lattice supports a 240‑mode vortex lattice oscillating at 132 Hz, whose collective phase is governed by the SU(2) root‑of‑unity Turaev‑Viro state sum. This state sum, when evaluated on the lattice's defect network, yields a topological charge that couples linearly to the spacetime metric, producing a quantized gravitational‑memory imprint. The resulting memory is encoded as a topological qubit in the lattice's defect structure, allowing readout via interferometric phase shifts. Thus, E8 Topological Resonance Gravity provides a bridge between discrete topological invariants and continuous gravitational dynamics, opening a pathway to topological quantum gravimetry. 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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