Geometric Discrete Scaling in the Cosmic Web: Fundamental Length Scale of 210 Mpc from Void Catalogs

10.5281/zenodo.18528421 We report the discovery of a discrete geometric hierarchy in the size distribution of cosmic voids.Analyzing 651 voids from four independent catalogs derived from modern galaxy surveys, we iden-tify statistically significant peaks in the effective radius distribution. The peak positions follow ageometric progression Ln = (210.2 ± 1.4) × (0.8903 ± 0.018)n Mpc with scaling factor indistinguish-able from 8/9 = 0.8889. The deviations from these preferred scales exhibit anti-correlated dynamicsdescribed by an AR(2) process with ϕ1 = −0.8824 ± 0.010 ≈ −κ. This pattern, incompatible withcontinuous ΛCDM predictions at > 5σ confidence, reveals a fundamental discretization of spatialscales in the low-redshift Universe.