Interconnected Node Dynamics and an Energy—Entanglement Balance Law

Abstract We propose a minimal extension of quantum dynamics incorporating a balance principle between energy and entanglement entropy. By introducing a state-dependent correction term to the Schrödinger equation, physical systems are modeled as interconnected nodes governed by global consistency conditions. This framework preserves standard quantum mechanics while predicting small deviations in highly entangled systems. We provide numerical simulations for multi-qubit systems and a toy cosmology-scale illustration of cumulative energy—information effects.