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The study investigates how entropy and local density contribute to the formation of structured causal sets.

February 21, 20260 citationsOpen Access

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.

Abstract

We propose that the complementarity of causal network expansion (entropy) and local relational density (negentropy) provides a candidate ontological drive for the growth dynamics of causal sets — addressing the open problem of why structured, manifold-like causets arise from sequential growth without imposing additional axioms. The proposal extends Dou and Sorkin's identification of entropy with causal link count into a dynamic account of the directional bias of causal network growth.

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