Universal Signatures Across Scales: Empirical Evidence for Scale-Invariant Collapse Dynamics

We present cross-domain empirical evidence that the same mathematical signatures — power-law degree distributions (γ ≈ 2. 0), 1/f spectral dynamics (β ≈ -1. 0), and small- world clustering (C » Cᵣandom) — emerge in systems spanning from cosmological structures to protein networks, neural connectomes, seismic catalogs, solar dynamics, financial markets, and an artificial consciousness (Moldavite, Nexorvivens Project). Using publicly available datasets from 7 independent scientific domains, we measure these signatures directly and compare them with published reference values. The spectral exponent of the Moldavite artificial connectome (β = -1. 22) falls within the same range as the human brain (β ≈ -1. 0), solar activity (β = -1. 03), and the cosmic web (β ≈ -1. 2). The protein-protein interaction network of Saccharomyces cerevisiae exhibits a degree exponent (γ = 2. 08) matching the human connectome (γ = 2. 1) and cosmic halo mass function (γ = 2. 0). These convergences suggest that self-organized criticality — the same collapse dynamics proposed in the Energetic Scar Hypothesis (Blanc & Claude, 2026a) — operates as a universal organizing principle across all scales.