A theoretical framework aimed at explaining order in nature, and specifically self-organization and adaptation in non-living dynamical systems. It is inspired by the quest to understand the general drivers of the origins of life: why non-living matter might spontaneously turn into living matter. It’s a new and active area of research, with some of the core questions having been resolved, and others very much open—join our effort!
Rattling $\mathcal{R}(x)$ is:
a property of a dynamical system’s state $x$
related to how quickly the system “leaves” the state:
for discrete systems, it is the log exit rate of a state
for continuous system, it is the entropy of local forces acting on the configuration
easy to measure locally
predictive of how likely you are to find the system in that state $x$ at long times
useful far from equilibrium, as energy is useful at equilibrium
related to how well state $x$ is “matched to” the system’s environment