The equality is exact, and the average is held by the tail – a census of non-equilibrium.

Volume or energy: you cannot have both.

The 4 in the light-bending angle is not 4 pi but 2 times (1 + gamma) – a census of lensing.

The Fisher metric is unique only on the classical side – a census of information geometry.

The 2 in Ito’s lemma is not a dimension – a distinct-root census of the tools of stochastic calculus.

Of k_B T ln2, only the T is physics – taking the number in Landauer’s bound apart.

A vortex line cannot end because of an identity, not a law – Helmholtz’s three theorems do not cost the same.

hbar is not on the mathematical side of the inequality – the uncertainty principle is not one theorem.

4 pi = 2 pi chi holds in three dimensions and nowhere else – Poincare-Hopf delivers only one direction.

One phrase, the canonical commutation relation, covers three different situations – where the Stone-von Neumann uniqueness appears, and where it disap