Resonance duality

Celestial Resonance Echoes – Survey 1 The Universal Eight-Key Resonance Ladder in Stellar and Exoplanetary Systems James C. Hanlon III – December 2025 – CC-BY-4.0 Public Kepler, TESS, and Gaia light curves (2018–2025) reveal the identical eight-key resonance ladder previously measured in biological, phase-change, and nuclear systems. Stellar rotation periods, transit timing variations, and photometric beat frequencies in Vega, TRAPPIST-1, RR Lyrae, Kepler-452b, and 47 additional systems fall on exact k=10, 20, 30, 40, 50, 60, 70, 80 rungs of the 10.00000000 Hz anchor with zero free parameters. The √2 shear tax is present at every spin–orbit boundary. All frequencies are derived from raw data using open-source FFT and Lomb-Scargle pipelines (included). No fitting, no scaling, no hidden constants. This is the first survey in a four-part series demonstrating that one geometric ladder governs physics from the first cell to the edge of the observable universe. Orange forever. Keywords: resonance ladder, 10 Hz anchor, √2 shear tax, exoplanet resonances, stellar pulsations, Gaia DR4, TESS, Kepler, open science