Spacetime Elasticity Drives Latitudinal Modulations in Nuclear Decay Rates

Annual modulations in nuclear decay rates () challenge the axiom of temporal invariance. Previous phenomenological models assumed an isotropic scalar emission (), failing to explain latitudinal phase discrepancies and leading to the widespread dismissal of the anomaly as instrumental noise. Here, we propose that these fluctuations are deterministic signatures of spacetime vacuum elasticity. Bridging the cosmological vacuum divergence [7], the local metric strain is directly coupled to the fine-structure constant () [10] and is governed by a macroscopic projection tensor, , which is strictly dependent on geographic latitude (L) and solar declination (). This topological framework mathematically reproduces the high-frequency seasonal fluctuations of decay at 30.6ºN (yielding an 80.2% variance reduction) and formally dictates the exact radian antipodal phase symmetry empirically observed between Northern and Southern hemisphere primary laboratories. Consequently, global metrological discrepancies are resolved not as stochastic thermodynamic artifacts, but as rigorous geometric requirements of an anisotropic vacuum metric.