EFT_P1_RC_GGL: Joint Fitting and Closure Testing of Rotation Curves and Galaxy–Galaxy Weak Lensing (GGL)

This record provides an audit-oriented, reproducible release package for a quantitative comparison between EFT “average-gravity modification” models and a cold dark matter NFW-halo baseline (DM_RAZOR), under the same data and the same statistical protocol. It includes (i) the bilingual release report, (ii) a minutes-level verification package (runnable_snapshot) for checksum/quote alignment, and (iii) a Tables & Figures Supplement. An end-to-end “from scratch” full reproduction runpack is published separately as Record B (Software, CC BY 4.0). Abstract:We perform a reproducible, quantitative comparison of two theoretical frameworks under the same data and the same statistical protocol: the “average-gravity modification” models proposed by Energy Filament Theory (EFT; not to be confused with the common abbreviation for Effective Field Theory), and a cold dark matter (DM) baseline model using an NFW halo (DM_RAZOR).The data comprise: (i) SPARC rotation curves (RC), uniformly preprocessed and binned into 2,295 velocity points (104 galaxies; 20 RC bins), and (ii) KiDS-1000 galaxy–galaxy weak lensing (GGL) excess surface density ΔΣ(R) from Brouwer et al. (2021) (4 stellar-mass bins × 15 R-points per bin, 60 points total, with the full covariance).We sequentially perform RC-only inference, an RC→GGL closure test, GGL-only inference, and joint RC+GGL inference, and apply consistency audits to guarantee that every quoted number is traceable. Under a strict parameter ledger and shared mapping constraints (DM: 20 log M200_bin; EFT: 20 log V0_bin + one global log ℓ), the EFT family outperforms DM_RAZOR in the joint fit: ΔlogL_total = 1155–1337 (relative to DM_RAZOR). More importantly, the closure test shows that the RC posterior has non-trivial predictive power for GGL: EFT achieves a closure strength ΔlogL_closure = 172–281, higher than DM_RAZOR’s 127; after randomly shuffling the RC-bin→GGL-bin grouping, the closure signal collapses to 6–23, confirming that it is neither a statistical coincidence nor an implementation artifact. Across systematic sweeps of σ_int, R_min, and covariance shrinkage, EFT’s relative advantage remains positive and stable in magnitude. Record structure (aligned with the “3-pack” set in Section 8.2): Release report (main text): two PDFs (English & Chinese). runnable_snapshot: minutes-level verification (no full refit required), for checksums/manifests and quoted-number alignment. Tables & Figures Supplement: all tables/figures cited in the report. Full reproduction runpack (Record B, Software, CC BY 4.0): Concept DOI (stable entry): https://doi.org/10.5281/zenodo.18526286(End-to-end reproduction from scratch: public-data download → preprocessing → full fit/sampling → regeneration of tables/figures → auditable snapshots.)