Law of the Unseen Perfect Storm
Math lens only; templates apply names after the fact.
Definitions
Phasor, cohesion, angle: M = C e i φ
Cosine and sine projections: j = C cos φ k = C sin φ
Expectation and denominator magnitude: E = P + i k |E| = √(P² + k²)
Radius and Surprise: r = A / |E| Surprise = ln r
Perfect storm (definition)
Orientation that maximizes the recognizable mark in the denominator: φ * = π/2 (mod π) ⇒ j = 0, |k| = C, |E| = √(P² + C²), r = A / √(P² + C²)
Corollary (trade-off)
|j|² + |k|² = C²
One-liners
Only the sine projection k enters the denominator; only the cosine projection j shows up.
Perfect storm: mark maximal, realization zero — therefore unseen.
We never witness perfection; we only detect its pull.