Interactive Supplement: Admissibility and Parallax Instability Monitoring
stable
Parametric mode: attenuation terms analytically specified. FTLE analytically implied, not discovered. Constructive illustration only.
Measured proxy mode: χ(t) from actual perturbation responses on synthetic probes. Sub-potentials estimated per frame. FTLE from Δlog χ / Δt.
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
—
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.