We derive a deterministic, parameter-free prediction for the secular aging of radioactive decay constants as a function of nuclear spin I. Starting from the Rodrigues Meta-Law—a topological framework grounded in the Generalized Stokes Theorem (Theorem I) and the Peter Weyl decomposition 171Yb+/87Sr (Theorem II)—we obtain δλ/λ =kI Γ, where k is a universal constant extracted empirically from 107 measurements of the 171Yb+/87Sr optical-frequency ratio recorded over 6.84 yr by the Physikalisch-Technische Bundesanstalt (PTB) Dörscher et al., Metrologia 58, 015005 (2021), and Γ = ΩD−1 ⋅ f is the geometric index fixed by group representation theory. For nuclides with I = 0 (including 14C, 238U, 232Th) the theory predicts δλ/λ = 0 exactly, consistent with the entire historical record of radiometric dating. For I ≠ 0 the predicted rate is ~10−18 yr −1, sub-threshold at present but falsifiable with the next generation of optical clocks.
Luis Rodrigues (Fri,) studied this question.