A Preliminary Theory of Infantile Dynamics

TL;DR

This paper introduces a dynamical framework for understanding household chaos driven by infants, highlighting entropy growth, local ordering episodes, and curiosity-driven behaviors through toy models.

Contribution

It proposes a novel theoretical model of infant-driven household chaos, incorporating entropy dynamics and curiosity-driven behavior modeling.

Findings

Entropy production is nonnegative in the toy model.

Long-term behavior is play-area dominated.

Curiosity-driven behavior emphasizes novelty over punishment.

Abstract

We present a concise dynamical picture of infant-driven household chaos. The framework has three postulations: recurrent daily chaos, overall entropy growth in household organization, and transient local ordering episodes with switching rules (a volatile Maxwell-demon effect). We illustrate entropy growth with a two-region toy model (organizer vs. play area), where entropy production is nonnegative and long-time behavior is typically play-area dominated. We also model toy diffusion and curiosity-driven behavior, where novelty matters more than punishment in the short term, while gradual learning still occurs.