Interactive Supplement: Admissibility and Parallax Instability Monitoring

stable
Parametric mode: attenuation terms analytically specified. FTLE analytically implied, not discovered. Constructive illustration only.
① margin collapse
ΔΦ < −c·σ_Φ
for k steps
② trajectory collapse
ΔΦ ≈ 0
dΦ/dt < 0
③ parallax instability
Π_norm > c_Π
∧ S(t) < S_min
t* (ΔΦ crosses)
t (M < 0.5)
lead time
t̂_lead at t*−10
Π_norm first ↑
parallax lead
σ²_baseline
structural decay
.006
.004
attenuation growth
.006
.005
threshold & lag
−.20
20
parallax detection
2.0×
0.67
3
noise floor
1.5×
30
EMA smoothing α
0.15
Π_norm = Π(t) / σ²_baseline. Threshold c_Π is a dimensionless multiplier anchored to the system's own stable regime — comparable across runs.