Energy Distribution and Redistribution in 0-Dimensional Networks: A Constraint-Driven Framework for Emergent Entropy

This paper explores energy distribution in a 0-dimensional network where interactions define all emergent behavior. By imposing strict capacity constraints, we show that states violating these constraints are simply nonexistent in the valid configuration space. This leads to an entropy-like measure derived purely from combinatorial principles, independent of space and time. We examine connections to statistical mechanics and information theory and discuss whether an arrow of time could emerge from topological changes rather than dynamics. Possible extensions include topological changes, hypergraph-based generalizations, and directed constraints leading to asymmetric dynamics.