Entropy as Causal Network Expansion: Overflow Complementarity as Ontological Drive in Causal Set Theory

Key Points

• The study investigates how entropy and local density contribute to the formation of structured causal sets.
• Develops a theoretical framework linking entropy and causal network dynamics.
• Analyzes local relational density's effect on the expansion of causal networks.
• Extends existing theories on causal link count to dynamic growth models.
• Proposes a new ontological drive for structured causal sets based on entropy and negentropy.
• Demonstrates directional bias in causal network growth without new axioms.
• Identifies complementarity as key to understanding causal set evolution.