Experimental Evidence for the Livolsi Constant L from LIGO O3 Open Data

This work presents the first experimental evidence of the Livolsi Constant L as a structural invariant governing gravitational fluctuations.Using raw LIGO O3 interferometric data, without fitting, whitening, or external modelling, we identify a sharp lower bound in the spectral ratio between symmetric and cyclic components. This empirical threshold coincides with the theoretical prediction derived from the smallest nontrivial eigenvalue of the Hessian associated with the closed quartic variational functional. A statistical analysis over multiple O3 segments shows that while the mean spectral ratio is dominated by additive noise, the minimum and the modal clustering converge toward the predicted structural value. The presence of a hard cutoff in the data — precisely where the theory fixes the stability floor of spacetime fluctuations — provides a direct, non-phenomenological signature of the variational closure. The results demonstrate that the Livolsi Constant L is not a tunable parameter but a universal invariant emerging from the internal algebraic structure of the functional. This constitutes the first experimental confirmation of the cyclic sector predicted by the Ψ–Γ framework and establishes L as a measurable constant of nature.