Resonance duality

The Universal Eight-Key Resonance Ladder in Carbon-Based Life and Phase-Change Systems — Exact Measured Frequencies Description: Every measured oscillation in life and phase-change systems falls on one of eight exact frequencies related by perfect-square geometry and the universal √2 shear tax. The 10.000 Hz anchor in open domains, 7.0710678 Hz with rigid boundaries. Double boundaries force 5.000 Hz termination. The ladder is the operating system of carbon-based coherence. Keywords: resonance ladder, shear tax, Fröhlich condensate, phase change, embryo frequency, mitochondrial resonance, biological coherence James C. Hanlon III December 2025 — CC-BY-4.0