The Existence of an Integrating Factor Does Not Give You a Temperature — Caratheodory’s axiomatisation in three steps.

There Are Three Hopfs — a proper name also needs an address: applying one word, distinct roots to people.

Three Distinct Roots of Aggregation — the shell theorem, Barnes-Hut and the fast multipole method drop terms of the same expansion for three different

What Differs Between the Twins Is Not a Lagging Clock but the Length of a Worldline: time dilation read through the Yamagishi zero-tension, and the nu

How Much Do the Four Clocks Know About the Dimension They Are In: putting the exponent formula of the Yamagishi patch to the Einstein-Yamagishi Dual-C

The Space of Instruments Carries a Metric of Its Own: A Trajectory Has a Length, but Not a Proper Time – Two Geometries on Met(M).

Dimensional Analysis Fails in Two Ways: beta (Dimensional Transmutation) and gamma (Anomalous Dimension) Are Independent.

The Fourth Clock: A Flow Parameter Advances Not Inside a Manifold but Through the Space of Manifolds.

Two Clocks and One Scale: Coordinate Time dt, Proper Time dtau and Entropy dS Are Three Different Logical Types.

Scale Invariance Fixes an Exponent – in Four Different Ways: Separating Identity, Dimension Matrix, Measurement and Fixed Point; the Condition That Ex