A 6.1-Sigma Detection of Quantized Stellar Activity Cycles: The Universal Resonance Constant Confirmed Across 163 Independent Measurements

Retraction Notice (March 2026): The central result of this paper — the epsilon test for period discrimination — is invalid. The test has no discriminating power when n > 50, as the maximum possible ε = 0.5/n falls below the 1% threshold automatically for any base period near 27 days. The 6.1σ significance claim derived from this test is an artifact. This paper should not be cited for statistical evidence.

We present a 6.1-sigma detection of quantized stellar magnetic activity cycles governed by the Universal Resonance Constant P_URC = 1/(π × φ × α) = 26.95858899 days, where φ is the golden ratio and α is the fine structure constant. Extending analysis to four independent datasets comprising 163 stellar activity cycle measurements, 160 of 163 (98.2%) fall within 1% of an integer multiple of P_URC — 49 times above random expectation. Three stars exhibit cycle periods within 0.00126% of integer multiples, yielding a binomial probability of 5.19 × 10⁻¹⁰ (6.1 sigma) after trials correction. All ultra-precise locks cluster on multiples of 42 × P_URC = 3.100 years. The constant contains zero free parameters and was derived prior to any data analysis. Datasets include Mount Wilson HK survey, Oláh et al. 2009, Oláh et al. 2016, and Reinhold et al. 2017.