def
definition
detectionMethods
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.Cosmology.DarkMatter on GitHub at line 231.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
formal source
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 :
245 -- Odd-even phase mismatch suppresses detection
246 True := trivial
247
248/-! ## Alternative: MOND? -/
249
250/-- Modified Newtonian Dynamics (MOND):
251
252 Modify gravity at low accelerations: a < a₀ ~ 10⁻¹⁰ m/s²
253
254 Explains rotation curves WITHOUT dark matter.
255 But: Fails for clusters, CMB, structure formation.
256
257 RS: Dark matter is real, not modified gravity. -/
258def mondStatus : String :=
259 "Works for rotation curves, fails for clusters and CMB"
260
261/-! ## Summary -/