[Paper 136] The Equality Is Exact, and the Average Is Held by the Tail
The equality is exact, and the average is held by the tail – a census of non-equilibrium.
[Paper 135] Volume or Energy: You Cannot Have Both
Volume or energy: you cannot have both.
[Paper 134] The $4$ in the Light-Bending Angle Is Not $4\pi$ but $2(1+\gamma)$
The 4 in the light-bending angle is not 4 pi but 2 times (1 + gamma) – a census of lensing.
[Paper 133] The Fisher Metric Is Unique Only on the Classical Side
The Fisher metric is unique only on the classical side – a census of information geometry.
[Paper 132] The $2$ in Itô’s Lemma Is Not a Dimension
The 2 in Ito’s lemma is not a dimension – a distinct-root census of the tools of stochastic calculus.
[Paper 131] Of $k_BT\ln2$, Only the $T$ Is Physics
Of k_B T ln2, only the T is physics – taking the number in Landauer’s bound apart.
[Paper 130] A Vortex Line Cannot End Because of an Identity, Not a Law
A vortex line cannot end because of an identity, not a law – Helmholtz’s three theorems do not cost the same.
[Paper 129] $\hbar$ Is Not on the Mathematical Side of the Inequality
hbar is not on the mathematical side of the inequality – the uncertainty principle is not one theorem.
[Paper 128] $4\pi=2\pi\chi$ Holds in Three Dimensions and Nowhere Else
4 pi = 2 pi chi holds in three dimensions and nowhere else – Poincare-Hopf delivers only one direction.
[Paper 127] One Phrase, “the Canonical Commutation Relation”, Covers Three Different Situations
One phrase, the canonical commutation relation, covers three different situations – where the Stone-von Neumann uniqueness appears, and where it disap