IID Beta(0.3, 0.3) noise --- U-shaped distribution concentrating mass at both extremes with a valley in the middle, structurally opposite to Gaussian
Standard analysis sees: bounded / light-tailed; aperiodic / broadband; high-complexity (noise-like). The atlas finds no named structure, but the source is distinctively extreme on Attractor Reconstruction:lyap_entropy (+2.2z) — beyond what the standard bank predicts for it.
Attractor Reconstruction:lyap_entropy | +2.2z | bank-miss 1.2σ |








_(centered)/signed_log_z/Beta_Noise.png)
_(centered)/xy_path/Beta_Noise.png)

/barcode/Beta_Noise.png)
/d_curve/Beta_Noise.png)








/phi_spectrum/Beta_Noise.png)










/default/Beta_Noise.png)
/default/Beta_Noise.png)


| Nearest neighbor | Distance | |
|---|---|---|
| MT19937 (Mersenne Twister) | 3.14 | cross-domain |
| XorShift32 | 3.14 | cross-domain |
| AES Encrypted | 3.15 | cross-domain |
2-adic › 2-adic:valuation_transition_predictability | rank 294/298 | 0.3510 |
Hölder Regularity › Hölder Regularity:holder_std | rank 3/298 | 1.8933 |
Moiré › Moiré:moire_max_coherence | rank 295/298 | 0.0227 |
Mostow Rigidity › Mostow Rigidity:volume_entropy | rank 1/298 | 4.5192 |
Mostow Rigidity › Mostow Rigidity:mean_turn_angle | rank 298/298 | 0.0408 |