LIGO Livingston
astro · 36 views
astro
What It Is
LIGO Livingston L1 strain around GW150914. 4096 Hz; the same chirp arrives ~7 ms earlier than Hanford, opposite-sign.
Interpretation
Standard analysis sees: nonstationary / drifting. The atlas finds no named structure, but the source is distinctively extreme on Persistent Homology:max_lifetime (-5.7z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.50
asymmetry0.55
occupancy0.73
short-range corr0.78
long-range memory0.83
spectral colour0.17
periodicity0.82
complexity0.50
time-irreversibility0.23
volatility clustering0.79
multifractality0.54
dimensionality0.32
nonstationarity0.86
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Persistent Homology:max_lifetime | -5.7z | bank-miss 1.6σ |
Persistent Homology:total_persistence | -3.8z | bank-miss 1.5σ |
D4 Triality:triplet_temporal | -3.2z | bank-miss 1.7σ |
Fisher Information:trace_fisher | +2.8z | bank-miss 3.3σ |
Fisher Information:log_det_fisher | +2.5z | bank-miss 3.8σ |
Hodge–Laplacian:poisson_recovery_error | -2.2z | bank-miss 2.0σ |
Visibility Graph:assortativity | +2.2z | bank-miss 1.3σ |
Composition
dtypefloat64
range[-2.599e-18, -7.693e-19]
unique values16384 / 16384
mean ± std-1.83e-18 ± 2.83e-19
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/LIGO_Livingston.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/LIGO_Livingston.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/LIGO_Livingston.png)
Inflation (Substitution) > barcode
/d_curve/LIGO_Livingston.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/LIGO_Livingston.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/LIGO_Livingston.png)
Ulam Spiral (Sacks) > default
/default/LIGO_Livingston.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| LIGO Hanford | 2.83 | |
| Kuramoto Oscillators | 4.78 | cross-domain |
| Seismograph (ANMO) | 4.83 | cross-domain |
Which Geometries Light Up
AutoRegressive › AutoRegressive:ar_residual_frac | rank 2/298 | 1.0000 |
D4 Triality › D4 Triality:triplet_temporal | rank 295/298 | -0.8237 |
Fisher Information › Fisher Information:log_det_fisher | rank 1/298 | 145.5765 |
Fisher Information › Fisher Information:trace_fisher | rank 1/298 | 246001.0009 |
Heisenberg (Nil) (centered) › Heisenberg (Nil) (centered):area_length_ratio | rank 297/298 | 0.0000 |
Heisenberg (Nil) (centered) › Heisenberg (Nil) (centered):z_rate_spectral_entropy | rank 297/298 | 0.0000 |
Heisenberg (Nil) (centered) › Heisenberg (Nil) (centered):xy_spread | rank 298/298 | 0.0000 |
Higher-Order Statistics › Higher-Order Statistics:bicoherence_max | rank 295/298 | 0.0000 |
Higher-Order Statistics › Higher-Order Statistics:c3_energy | rank 297/298 | 0.0000 |
Higher-Order Statistics › Higher-Order Statistics:kurt_max | rank 297/298 | 0.0000 |
Higher-Order Statistics › Higher-Order Statistics:skew_mean | rank 297/298 | 0.0000 |
Hodge–Laplacian › Hodge–Laplacian:poisson_recovery_error | rank 297/298 | 0.0000 |
Persistent Homology › Persistent Homology:max_lifetime | rank 297/298 | 0.0000 |
Persistent Homology › Persistent Homology:total_persistence | rank 297/298 | 0.0000 |
Persistent Homology › Persistent Homology:n_significant_features | rank 298/298 | 0.0000 |
Visibility Graph › Visibility Graph:assortativity | rank 5/298 | 0.5624 |
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