Sofia G. Utrugashvili

Gravity Echo: Topological Metric Solitons and Dynamic Time Dilation under Higgs‑Type Vacuum Phase Transitions

This is a completely revised and extended version (v2.0). The numerical calibration suite (v3.3.4) has been added, confirming hierarchy resolution, Lyapunov stability, critical exponent β = 0.500, unified dark sector EoS, quantum amplification χ_Q = 826.11, and a BAO‑scale cosmol...

Topological Resonance in Stochastic Block Models: Phase Transition and Information Localization

We study information propagation in structured networks using a continuous diffusion equation on graphs with weighted edges. The edge weight between two nodes is enhanced by a parameter β if they share a topological label (community membership) in a Stochastic Block Model (SBM)....

Wireless Echo: From Continuous Laplacian Potential Transport to Non‑Linear Resonant Field Solitons in Disordered Topologies

We propose a unified, multi‑scale framework for long‑range wireless power transfer (WPT) and non‑dissipative information routing in complex, non‑homogeneous media. Moving away from conventional radiative coupling prone to Anderson localization, we model energy transport across tw...

Topological Resonance in Stochastic Block Models: Phase Transition and Information Localization

We study information propagation in structured networks using a continuous diffusion equation on graphs with weighted edges. The edge weight between two nodes is enhanced by a parameter β if they share a topological label (community membership) in a Stochastic Block Model (SBM)....