Self-Organization Dynamics Beyond Equilibrium: Discreteness, Computation, and Rules of Life

TL;DR

This paper introduces the concept of non-equilibrium capacity (NEC) to explain how living systems self-organize and maintain life through rule-based, discrete interactions, offering a new framework beyond traditional physics.

Contribution

It proposes the NEC concept and combines experimental and computational approaches to understand life’s dynamics and its inevitable loss, advancing a new biological grammar.

Findings

Cellular processes have low speed limits critical for viability.

Generalized cellular automata model explains emergence and persistence of order.

Loss of NEC correlates with death in biological systems.

Abstract

Living systems self-organize in ways that conventional physical frameworks-based on forces, energies, and continuous fields-cannot fully capture. Processes like gene regulation and cellular decision-making involve rule-based logic and computational interactions. Here, I introduce the concept of non-equilibrium capacity (NEC) to denote the finite capacity of living systems to generate and sustain life-associated dynamics-the very capacity that defines viability-and whose irreversible loss constitutes death. I argue that two lines of inquiry are especially promising for understanding why this capacity is inevitably lost. First, experiments that slow or suspend all cellular processes reveal "low speed limits" below which life collapses. Second, generalized cellular automata-where cells interact over diffusion-defined neighborhoods and obey discrete rules-provide a framework to understand how order emerges or persists. Together, these approaches suggest a new grammar of biology that complements energy-based physics and explains how living systems sustain and ultimately lose their NEC.