# Freeze — CDM is not an input

### Framework mills seek solutions **without** a collisionless extra species · literature CDM may be cited as contrast · leftover CAT-EVID stays unpaid · not \(\Omega_{\mathrm{CDM}}=0\) as a sky theorem

**CPT Framework — FT-INV / M16 / FT-M16-RHYME / FT-SCIAMA-PARK / EQ-MEAS**  
**Date:** 2026-09-22  
**Status:** **METHOD FREEZE** · `PASS_FT_NO_CDM_INPUT`  
**Stimulus:** User — do not include CDM in any framework calculations; like galaxy rotation, look for solutions explicitly without it  
**Parents:** FT-INV · M16 · FT-M16-RHYME · FT-SCIAMA-PARK · FT-GAP-B-OUTER · GAL-ROT-ELEC  
**Rule:** CDM / NFW / \(\Omega_c\) / SMHM halo mass is **not** a lab inventory. Resume of a mill that *inserts* it to close a residual is **FIRE**.

Tags: **[E honesty]** · **[Programme]** · **[O residual]**

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## 0. One-line

> **Do not put CDM into the calculation.** Rotation, Mach \(G\), dwarfs, and local \(\theta_E\) are to be solved with baryons plus named leftover physics (Book G 1PN, assumed Sciama floor if used as clothes). Collisionless extra *species* are not an ingredient, not a Mach seat, not SPARC \(I\), and not a fix. Literature CDM numbers may be quoted as **contrast** (SMHM \(\sigma\sim 35\) vs DF2 \(\sim 8.5\)). Unpaid CAT-EVID (KiDS GGL extra \(\Phi\), clusters) stays **OPEN** — forbidding the input is not a close. KiDS cosmic-shear cosmology and CMB \(\Omega_m\) are not RAR boards (FT-DE-NO-MATCH; sky \(z\) TO BED). M16 wreck if extra species enter the Mach sum stands. Birkeland is not the substitute. Sciama floor stays parked. \(R\) unnamed. No chip.

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## 1. What is forbidden as an input

| Do not | Why |
|--------|-----|
| NFW / halo \(M_{200}\) / \(\Omega_c\) inside a mill | Inventory shopping |
| SPARC \(I\) or \(2\pi\) to hit \(220\,\mathrm{km\,s^{-1}}\) | Already FIRE |
| Scale Mach \(m_p\) by \(\Omega_m/\Omega_b\) | M16 wreck (\(-84\%\) on \(G\)) |
| CDM as a fix when a baryon/leftover mill fails | Closes nothing; hides the residual |
| Restore Birkeland / Book C on stars as the missing mass | GAL-ROT-ELEC not banked |

## 2. What is still allowed

| Do | Why |
|----|-----|
| Quote a CDM catalogue number as **contrast** | Judgment, not inventory |
| Name leftover CAT-EVID (RAR end, KiDS \(g_{\mathrm{obs}}\), cluster \(\Phi\)) | Honesty; unpaid |
| Baryons + Book G 1PN | Inner rings, SS light |
| Assumed Sciama floor as **clothes** on slow tracers | Not a derivation resume |
| \(\mu\)-field as a *named* extra-\(\Phi\) hypothesis | Not a shop; not CDM; not derived |

## 3. What this freeze is not

| | |
|--|--|
| \(\Omega_{\mathrm{CDM}}=0\) cosmology theorem | **NO** (FT-M16-RHYME) |
| Photon leftover closed | **NO** (FT-GAP-B-OUTER) |
| Sciama floor derived | **NO** (park) |
| Clusters paid | **NO** |
| Chip / promote / name \(R\) | **NO** |

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## 4. Integrity

| Gate | Held |
|------|:----:|
| CDM not an input | **Yes** |
| Contrast citations allowed | **Yes** |
| Residuals not auto-closed | **Yes** |
| M16 species wreck | **Yes** |
| Birkeland restored | **No** |
| Sky \(\Omega_m=\Omega_b\) | **No** |

**Exit:** `PASS_FT_NO_CDM_INPUT`

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## 5. One-line for agents

> **§FT-NO-CDM-INPUT: do not insert CDM/NFW/\(\Omega_c\) into framework mills; seek baryon/leftover solutions; literature CDM is contrast only; unpaid CAT-EVID stays open; not an \(\Omega_{\mathrm{CDM}}=0\) theorem.**