GOE Spacings

random-matrix-quantum · 37 views
random-matrix-quantumspectral-RMT

What It Is

Gaussian Orthogonal Ensemble spacings --- linear repulsion P(s)~s exp(-πs²/4), time-reversal symmetric

Interpretation

Standard analysis sees: anti-correlated (alternating); anti-persistent; blue spectrum (high-frequency power). The atlas finds no named structure, but the source is distinctively extreme on Boltzmann:frustration (+2.5z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.71
asymmetry0.79
occupancy0.51
short-range corr0.13
long-range memory0.11
spectral colour0.93
periodicity0.21
complexity0.84
time-irreversibility0.33
volatility clustering0.34
multifractality0.16
dimensionality0.79
nonstationarity0.38
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Boltzmann:frustration+2.5zbank-miss 1.2σ

Composition

dtypefloat64
range[0.002958, 4.089]
unique values16384 / 16384
mean ± std1 ± 0.532

Render Gallery

Atlas Position

Nearest neighborDistance
GUE Spacings1.69
Riemann Zeta Zeros2.60cross-origin
Blue Noise2.89cross-origin

Open in Atlas →

Which Geometries Light Up

Fractal (Mandelbrot)Fractal (Mandelbrot):escape_entropyrank 3/3073.3505
in algorithmic-bytes
alphabetical
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