Scale Theory Insights
Dive deeper into the mathematical foundations, recent developments, and applications of Scale Theory across physics, cognitive science, and artificial intelligence.
- Scale dynamics in context: Connecting our framework to recent literature Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...
- A scale Hamiltonian framework for multiscale systems: A Hamilton–Jacobi approach with application to glass-forming liquids Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...
- Irreversible scale dynamics: Contact geometry and the arrow of renormalization Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...
- Canonical transformations and scheme independence Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...
- Beyond the linear β: Higher-order scale dynamics — Revised Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...
- From time to scale: A gentle introduction to scale dynamics Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...
- One more Copernican revolution: Reconsidering scale-centrism Status note (2026). This post predates the scale-entropy program’s scientific reset of 18 July 2026. Several claims it develops — including universal scale-entropy monotonicity and the quantum/geometry emergence arcs —...