Modified Gravity from Interconnected Node Dynamics and Energy Balance

We propose a framework in which mass motion and gravity emerge from the dynamics of an interconnected network of nodes governed by energy imbalance, feedback mechanisms, and connectivity constraints. By extending the Einstein-Hilbert action with a connectivity term derived from node interactions, we derive modified field equations that include an additional stress-energy contribution. Numerical simulations demonstrate clustering and equilibrium behavior. Here, we present a high-resolution time-lapse visualization of node evolution over 10 frames.