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structureFormation
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IndisputableMonolith.Cosmology.DarkMatter on GitHub at line 214.
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211 4. Galaxies form in DM potential wells
212
213 Without DM, galaxies wouldn't have formed in time. -/
214def structureFormation : List String := [
215 "DM decouples early (z ~ 10⁶)",
216 "DM perturbations grow: δ ∝ a",
217 "Baryons fall in after z ~ 1100",
218 "Galaxies form in DM halos"
219]
220
221/-! ## Detection? -/
222
223/-- Can ledger shadows be detected?
224
225 1. **Gravitational**: Already detected (rotation curves, etc.)
226 2. **Direct detection**: Scattering off nuclei - difficult
227 (Odd-phase doesn't couple well to even-phase)
228 3. **Indirect**: Annihilation products - possible
229 (Odd + odd → even, produces visible particles)
230 4. **Collider**: Produce at LHC - no luck so far -/
231def detectionMethods : List String := [
232 "Gravitational (confirmed)",
233 "Direct detection (ongoing)",
234 "Indirect detection (cosmic rays)",
235 "Collider production (none yet)"
236]
237
238/-- RS prediction for direct detection:
239
240 Cross-section suppressed by phase mismatch.
241 σ ~ σ_weak × (phase mismatch factor)
242
243 This explains null results so far! -/
244theorem rs_explains_null_detection :