Computed results¶

Generated from the official PR3 TT estimates; all p-values below use an idealized full-sky Gaussian reference. They are not official Planck likelihood results.

Diagnostic	Observed	Lower-tail p	95% Monte Carlo interval
quadrupole	236.557	0.04699	0.04568 - 0.04831
s_half	6767.53	0.07521	0.07357 - 0.07685
parity_2_29	0.762881	0.01011	0.00949 - 0.01074
variance_2_29	2074.52	0.10353	0.10164 - 0.10542

Four-test minimum-p family calibration: 0.03792. All declared fixed/scan tests: 0.03013. Parity cutoff scan (10-29), corrected: 0.01327. Angular threshold scan (45-90 degrees), corrected: 0.11577.

These corrections cover only the declared finite families, not all historical choices or all follow-up diagnostics.

Holding the quadrupole fixed¶

s_half: conditional p = 0.48423.
parity_2_29: conditional p = 0.02989.
variance_2_29: conditional p = 0.40245.

Conditioning is a diagnostic. It removes the probability cost of the low quadrupole, assumes its published estimate is exact, and does not establish a physical cause.

Resolution of the experiment¶

Reference spectra: 100,000; independent calibration spectra: 100,000. The conditional ensemble reuses the calibration skies with C2 replaced. Zero observed events never imply zero probability. See results.json for exact counts, confidence intervals, source hashes, and software versions.