Energy Filament Theory · EFT Full KB
903_RotCurve: single-galaxy case box
V30-30.11 · F 证据节 / 显影节 ·
30.11 closes the V30 galaxy_scaling_window with a bounded single-galaxy case box: on SPARC galaxy CamB_rotmod, the source compares the Energy Filament Theory (EFT) average-gravity model (STG) against the standard dark matter NFW model under the same data, the same baryonic and intrinsic-dispersion settings, and the same free-parameter count, finds ΔAICc ≈ -13.27 and ΔBIC ≈ -13.27, and then shows a degenerate one-galaxy bootstrap that stays at 1.0 across 5,000 resamplings, so the section is retained as a robust under-assumption counterexample that must remain beneath 30.2’s population ledger and route back to the 30.1 closure spine rather than becoming a galaxy-scale ontology source.
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Keywords: Energy Filament Theory, EFT, STG, rotation curve, CamB_rotmod, SPARC, NFW, single-galaxy case box, galaxy_scaling_window, robust counterexample, bootstrap boundary, BTFR population context, route back to closure spine
Section knowledge units
thesis
30.11 is the single-galaxy case box of Volume 30’s galaxy_scaling_window. On CamB_rotmod from the SPARC public database, the source compares the Energy Filament Theory (EFT) average-gravity model (STG) with the standard dark matter NFW model under one fair-comparison rotation-curve frame. With ΔAICc ≈ -13.27 and ΔBIC ≈ -13.27, the report classifies the case as EFT advantage and treats it as a counterexample to any claim that the NFW reading is uniquely required here. Inside V30, however, this remains a bounded case supplement beneath the BTFR population ledger rather than a stand-alone galaxy master verdict.
mechanism
The comparison frame is explicit and symmetric enough to audit. The source uses SPARC data for CamB_rotmod with radius R, observed velocity Vobs, error eVobs, and gas and stellar-disk contributions. The standard side adopts an NFW dark-matter halo, while the EFT side uses the average-gravity model (STG) in the delayed-saturation form V_EFT^2(r) = V_inf^2 (1 − exp(−r / r_t)). Both sides share the same baryonic mass-to-light ratios and intrinsic-dispersion parameters, and the report states that the free-parameter count is identical. So 30.11 is not presented as a flexibility trick; it is a bounded one-galaxy fair-fit comparison.
evidence
The numerical verdict is not marginal. The source defines ΔIC = IC_EFT − IC_DM, with negative values favoring EFT, |ΔIC| < 2 treated as Equivalent, ΔIC ≤ -4 treated as EFT advantage, and ΔIC ≥ 4 treated as Standard advantage. For CamB_rotmod it reports both ΔAICc ≈ -13.27 and ΔBIC ≈ -13.27, far below the EFT-advantage threshold. The section therefore records a strong single-galaxy anti-uniqueness result: within this exact report window, the NFW explanation is not uniquely selected.
boundary
The robustness layer is transparent but narrow. The source bootstraps over the galaxy list and, because total_galaxies = 1, the resulting fraction of 'EFT advantage or equivalent' is 1.000 with 95% interval [1.000, 1.000] for both AICc and BIC across 5,000 resamplings. That means the preference never flips inside this exact one-galaxy release setup, but it also means the bootstrap is degenerate by construction. So 30.11 should not be inflated into a population-level BTFR result, a universal rotation-curve closure, or an ontology-bearing statement about why EFT works; its claim is only that this single-galaxy NFW uniqueness claim fails under the current assumptions.
interface
The source concludes that CamB_rotmod supplies a robust counterexample to the claim that dark matter offers a unique explanation of galaxy rotation curves under the current data and model assumptions. Inside Volume 30, that conclusion has to be placed carefully: 30.2 remains the galaxy population ledger, while 30.11 is the compressed single-galaxy return that preserves one sharp RC-facing case. Its bundle function is therefore double-bounded. It sits beneath 30.2 for statistical context, and it routes back to 30.1 so the RC signal is absorbed into the P1 closure spine as a support supplement rather than as a rival mainline.