Results — leftover RAR book does not take DE as an ingredient
KiDS GGL measurement stands · KiDS cosmology not a match · \(H_0\) clothes \(\neq\) expansion theorem · no mill to reopen
CPT Framework — FT-DE-NO-MATCH / FT-RAR-DE-DECOUPLE Date: 2026-09-24 Status: BANKED ·PASS_FT_DE_NO_MATCH_RAR_DECOUPLED
Stimulus: User — if any RAR book depends on DE, revisit immediately and make it DE-free
Parents: a_geom_ft_de_no_match_freeze.md · a_geom_ft_gap_b_outer_results.md · a_geom_ft_s3_phi_results.md · a_geom_ft_foam_de_results.md · a_geom_ft_sparc_astar_results.md
Script: scripts/investigations/s3_geometry/ft_de_no_match.py
Data: scripts/investigations/s3_geometry/data/ft_de_no_match.json
Tags: [E honesty] · [Programme] · [O residual]
0. One-line
*Nothing in the constitutive RAR line uses dark energy. The photon extra-\(\Phi\) kill is KiDS galaxy–galaxy lensing published ratios (\(\langle V_{\mathrm{lens}}/V_{\mathrm{BTFR}}\rangle\simeq 1.10\)), not KiDS cosmic-shear \(S_8/w(z)\). SPARC, inner Einstein rings, analytic-\(W\) Newton IR, yield, SS Pythagorean FIRE, and \(c_{\mathrm{gw}}=c\) do not ingest \(\Omega_\Lambda\) or \(q_0\). \(H_0\) appears only as leftover clothes (\(R=\sqrt{6}\,c/H_0\), \(cH_0/6\) vs SPARC \(a_0\)), already [M], already not leftover \(\dot R/R\). Two mills mention* a \(\Lambda\) fluid as a foil (FT-S3-PHI \(g_\Lambda\); FT-FOAM-DE scale rhyme): those are “this is not that,” and they are now forbidden as match targets. No RAR mill is reopened. Prize OPEN.
1. Census
| Mill | DE as input? | Action | |------|----------------|--------| | FT-GAP-B-OUTER / MA-LONE | No. GGL table | Keep as measurement CAT-EVID | | FT-RAR-CURVE KiDS IR | No. Same table | Keep; not KiDS cosmology | | SPARC / FT-SPARC-ASTAR | \(H_0\) clothes only | Still [M]; not expansion | | FT-S3-PHI \(g_\Lambda\) | Foil | Fence: not a RAR board | | FT-FOAM-DE | Contrast with \(q_0\) | Already not paid; not a target | | Yield / \(W(E)\) / prize pin / keyhole / SS / GW | No | Untouched |
Finding D1 [E honesty]. A later reader must not cite KiDS extra \(\Phi\) as “we fitted DE.” The discriminant is stacked shear vs baryon Kepler/BTFR in a published GGL table. Finding D2 [E]. If the published \(300\,\mathrm{kpc}\) conversion used a \(\Lambda\)CDM \(D_A\), that is the catalogue’s ruler. The mill does not vary \(w(z)\) or \(\Omega_\Lambda\) to improve the ratio. Dimensionless \(V_{\mathrm{lens}}/V_{\mathrm{BTFR}}\sim 1.1\) is the kill of lone \(m(a)\).2. Integrity
| Gate | Verdict | |------|---------| | RAR DE-free as ingredient | YES | | KiDS cosmology matched | NO | | Reopen leftover mills | NO | | Expansion granted | NO | | Prize closed | NO |
Exit:PASS_FT_DE_NO_MATCH_RAR_DECOUPLED
3. One-line for agents
§FT-RAR-DE-DECOUPLE: constitutive RAR has no \(\Omega_\Lambda/q_0\) ingredient; KiDS GGL stays measurement CAT-EVID; do not match KiDS DE cosmology; \(H_0\) clothes \(\neq\) expansion; prize OPEN.