Entropy Atlas · the bill, paid
phaseforward · mixing
S (live)3.382
ΔS measured / ideal ln 20.5655 / 0.693147
exact echo returns to3.4361 (start 3.382)
perturbed (0.000001) stalls at3.8315
echo horizon t=1.8even exact fails · S 3.9157
spontaneous return odds2^-120 ~ 7.5e-37
Landauer · one bitkT ln 2 = 2.871e-21 J
source: entropy-snapshot.json · event-driven, reversible to roundoff · constants typed, labeled