CMB Anomaly Lab · Biswajit Jana

Conditional morphology and orientation experiments

Author: Biswajit Jana

Exploratory CMB-only randomization diagnostics. The fixed powers and rotated pattern come from a processed full-sky component-separated map, including uncertain foreground regions. Smoothing before masking can mix these regions into retained pixels. Neither conditional ensemble removes this systematic uncertainty or constitutes an independent observation.

Ensemble	S lower tail	Variance lower tail	Pseudo-parity lower tail	Hemisphere upper tail	Four-test family
Gaussian theory	0.00805	0.04808	0.01904	0.08201	0.03564
Measured powers fixed	0.02221	0.02441	0.26117	0.02831	0.07444
Measured pattern rotated	0.07152	0.04979	0.25384	0.49817	0.13791

These are three different null hypotheses; their p-values are not multiplied, pooled, or combined with earlier studies. Counting intervals, independent validation and analytic closure are in results.json.

Per ensemble: 1024 reference, 4096 calibration and 1024 held-out validation skies. Three ensembles total 18,432 realizations.

Detection power of a toy dipole modulation applied AFTER 5-degree smoothing; not an inferred primordial amplitude. Each row uses the same underlying skies, so rates across amplitudes are correlated. The maximizing axis is unsigned and searched over 24 directions.

Injected A	Detection rate	95% counting interval	Median unsigned axis error
0.00	0.0430	0.0314 - 0.0573	63.7 deg
0.05	0.0566	0.0433 - 0.0726	63.7 deg
0.10	0.0811	0.0651 - 0.0995	56.2 deg
0.20	0.2363	0.2106 - 0.2636	41.8 deg
0.30	0.4971	0.4660 - 0.5282	34.6 deg