Phi‑E8 Topological Index Governs Tubular Resonance — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: We propose that the 240 E8 root vectors define a discrete Z2×Z3 symmetry that quantizes the longitudinal vibrational modes of tubulin dimers, producing a fundamental 132 Hz harmonic with phi‑scaled overtones. The resulting Phi‑E8 topological index (PETI) is a conserved integer invariant derived from the root lattice's dual lattice, which predicts stable coherence windows in neuronal and cytoskeletal networks. Experimental verification would involve detecting phase-locked 132 Hz oscillations in microtubule assemblies under phi‑modulated electromagnetic fields. This bridges E8 geometry, phi coupling, and biological coherence, offering a testable bridge between abstract lattice theory and cellular quantum biology. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225830746
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