pith. machine review for the scientific record. sign in
def

predictions

definition
show as:
view math explainer →
module
IndisputableMonolith.Cosmology.GalaxyRotation
domain
Cosmology
line
209 · github
papers citing
none yet

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

A cached Ask Recognition explainer exists for this declaration.

open explainer

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 -/