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

This paper presents the first empirical identification of the Livolsi Constant L as a structural invariant emerging from a closed quartic variational functional. Unlike conventional physical constants introduced phenomenologically or calibrated through experimental fits, L arises as the smallest nontrivial eigenvalue of the Hessian associated with the functional’s stationary solutions. Its value determines a universal stability threshold separating symmetric and cyclic sectors in any admissible configuration. Using raw interferometric data from the LIGO O3 run—without whitening, model templates, or statistical fitting—we extract spectral ratios that display a sharp lower bound matching the theoretical threshold predicted by the variational framework. While noise contributions shift the mean of the distribution, the minimum and modal clustering converge toward the structural value fixed by the theory. This behaviour constitutes a form of algebraic closure manifested directly in spacetime fluctuations. The results imply that L is not an empirical parameter but a necessary invariant of the variational structure governing physical fields. The identification of its signature in gravitational interferometry provides the first non-phenomenological evidence of a deeper mathematical architecture underlying spacetime, one that constrains possible physical states through purely structural principles.