A mathematical framework for understanding why things last — from atoms and cells to institutions and lives.
Chronodynamics is a framework for understanding persistence: why some patterns — cells, relationships, institutions, ecosystems — manage to keep going while others quietly erode.
The framework is built on a single inequality. For any structure maintained by feedback in a dissipative environment, there is a characteristic feedback time (τfb) and a characteristic dissipation time (τdiss). Their ratio — the persistence number Π — governs how long the structure can last.
When feedback outpaces erosion (Π > 1), lifetimes grow exponentially with redundancy. When it doesn't, structures drift toward failure. This result is proved formally using Freidlin–Wentzell large-deviations theory and developed across scales — from atoms and stars through prebiotic chemistry and evolution to institutions, technologies, and the patterns of everyday life — in a companion paper and a series of books.
Chronodynamics does not modify the laws of physics. It organises what we already know about non-equilibrium systems around a temporal question that turns out to be surprisingly consequential: is feedback fast enough?