Spectral Structure and Stationary Modes of a Vacuum–Tension Field within the Wave–Universe Theory framework.

This Zenodo deposit provides the full reproducibility package accompanying the articleSpectral Structure and Stationary Modes of a Vacuum–Tension Field within the Wave–Universe Theory framework. It documents, in a minimal and fully reproducible manner, the spectral consequences of an empirically measured wave operator describing a vacuum–tension field $T_v (x,t)$ reconstructed from ultraviolet–regulated turbulence. Starting from this measured operator, a controlled confinement benchmark (square Dirichlet cavity) is implemented, the corresponding spatial eigenmodes are computed, and the resulting discrete frequency structure is obtained. The package also includes the evaluation of a dimensionless spectral invariant — the Maillot invariant — which serves as a consistency baseline for linear confinement governed by the leading operator. No physical interpretation in terms of particles, gravitation, or cosmic expansion is introduced at this stage; the purpose is to isolate the minimal and transferable spectral backbone implied by the measured dynamics. All scripts, generated data, and figures are provided to enable exact replication and to serve as a reference point for future investigations of operator deformations (spatial inhomogeneity, higher-order gradients, nonlinear effects), which will be addressed in subsequent work.