BB-CBE-3: Unpolarized Gowdy Spike-Sector Test

This project tests the four-function velocity-dominated reconstruction in unpolarized Gowdy T³ data containing localized spike candidates. It is the first adverse stage in the Line-E collapse–bang equivalence program.

Result

Aggregate: intermediate/CBE-D with a converged adverse localized spike result.

• Localized spike candidates show a resolution-consistent mismatch of approximately D ≈ 0.82 under the four-function VTD reconstruction.
• The ordinary region remains formally unclassified because the original mask is contaminated by the broader spike footprint and the backward reconstruction is ill-conditioned.
• Transient spikes were absent in the production data.
• Later exact-family controls showed that the mismatch diagnoses information missing from the four-function data set, not necessarily failure of equivalence under an enriched spike state.

Contents

• run_cbe3.py — unpolarized evolution, detector, reconstruction, and scoring.
• CBE3.json — complete machine-readable classification.
• cbe3_run_log*.txt — preserved execution logs.

Reproduction

Requires Python 3 with NumPy and SciPy:

python3 run_cbe3.py

Scope

The detector classified localized candidates; this repository alone does not certify exact Lim-family membership or almost-everywhere equivalence.