def
definition
predictions
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.Cosmology.GalaxyRotation on GitHub at line 209.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
formal source
206 3. **Tully-Fisher**: From J-cost equilibrium
207 4. **MOND-like behavior**: At low accelerations
208 5. **DM ratio ≈ 5:1**: From 8-tick phase counting -/
209def predictions : List String := [
210 "Flat rotation curves from ledger equilibrium",
211 "Cores at centers (not cusps)",
212 "Tully-Fisher relation M ∝ v⁴",
213 "MOND-like at low accelerations",
214 "DM/baryon ratio ~ φ³+1 ≈ 5"
215]
216
217/-! ## Summary -/
218
219/-- RS explanation of galaxy rotation:
220
221 1. **Ledger shadows**: Dark matter is odd-phase ledger
222 2. **Halo distribution**: J-cost equilibrium → ρ ∝ 1/r²
223 3. **Flat curves**: M(r) ∝ r → v = constant
224 4. **Cores**: Ledger interaction prevents cusp
225 5. **Tully-Fisher**: Natural from J-cost -/
226def summary : List String := [
227 "Dark matter = ledger shadows",
228 "Halo from J-cost equilibrium",
229 "Flat curves from ρ ∝ 1/r²",
230 "Cores from ledger interactions",
231 "Tully-Fisher from J-cost"
232]
233
234/-! ## Falsification Criteria -/
235
236/-- The derivation would be falsified if:
237 1. Rotation curves not flat (already confirmed)
238 2. No dark matter (MOND works everywhere)
239 3. Ledger distribution doesn't match observations -/