Log-Tension Dynamics of Quantum Foam: Ng–Kuşçu Correspondence and GRB 221009A Evidence

This paper develops a quantitative correspondence between Ng’s spacetime-foam uncertainty and the Dynamic Universe Matrix (DEM) framework, introducing the log-tension concept as the dynamic coupling between micro-renewal and macro-gravity.The analysis of GRB 221009A observations demonstrates a phase-renewal fluctuation of ≈ 10⁻²¹ — in perfect agreement with CMB coherence limits — and reproduces flat galactic rotation profiles without invoking dark-matter halos.The Ng–Kuşçu Correspondence thus unifies quantum-scale uncertainty and galactic-scale stability through a continuous logarithmic-tension dynamic.