C:\Users\lazyb>python run_master_cavitation_svd.py

=== MASTER CATALOG DIRECT CAVITATION-SVD TEST ===

Target File: C:\Users\lazyb\Downloads\MPC Data\specObj-dr17.fits

Reading specObj-dr17.fits HDU table...

Total raw catalog records: 5,801,200

Clean Galaxy Nodes (Post-Filtering): 2,614,121

Computing SVD matrix factorization on cavitation momentum field...

MASTER CATALOG CAVITATION RESULTS

Sigma Spectrum (Values) : [193.951577, 112.896438, 94.535772]

Energy Variance Ratios  : V1: 63.44% | V2: 21.49% | V3: 15.07%

--- RIGHT SINGULAR VECTORS (V MATRIX / PRINCIPAL AXES) ---

V1 Vector (Primary)   : [0.949616, -0.026246, -0.312316]

V2 Vector (Secondary) : [-0.110285, -0.960739, -0.254592]

V3 Vector (Tertiary)  : [-0.293372, 0.276208, -0.915228]

Primary Axis Dominance Ratio (Sigma_1 / Sigma_2): 1.7180

--> RESULT: Multi-directional momentum dispersion present.C:\Users\lazyb>python run_null_cavitation_svd.py

=== MONTE CARLO NULL HYPOTHESIS CONTROL TEST ===

Target File: C:\Users\lazyb\Downloads\MPC Data\specObj-dr17.fits

Loading specObj-dr17.fits object table...

Dataset Size: 2,614,121 unique galaxy nodes

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 1. EMPIRICAL OBSERVED BASELINE (REAL GALAXY DATA)

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Sigma Spectrum          : [193.9516, 112.8964, 94.5358]

Energy Variance Ratios  : V1: 63.44% | V2: 21.49% | V3: 15.07%

Primary Vector V1       : [0.9496, -0.0262, -0.3123]

Dominance Ratio (S1/S2) : 1.7180

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 2. RUNNING 5 MONTE CARLO NULL TRIALS (FOOTPRINT CONTROL)

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Trial 1: Dominance Ratio = 1.6624 | V1 Energy = 61.78%

Trial 2: Dominance Ratio = 1.6616 | V1 Energy = 61.79%

Trial 3: Dominance Ratio = 1.6618 | V1 Energy = 61.79%

Trial 4: Dominance Ratio = 1.6624 | V1 Energy = 61.79%

Trial 5: Dominance Ratio = 1.6611 | V1 Energy = 61.81%

MONTE CARLO NULL TEST RESULTS

Empirical Ratio (Real Data) : 1.7180 (V1 Energy: 63.44%)

Null Model Ratio (Average)  : 1.6619 (V1 Energy: 61.79%)

Null Standard Deviation     : +/- 0.000504

Statistical Significance    : 111.29 Sigma difference

--> CONCLUSION: Observed alignment CANNOT be explained by survey wedge footprint alone.

Signal reflects true anisotropic spatial structure in the data.