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def definition def or abbrev

pulsarPeriodFromRungCert

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formal statement (Lean)

 218def pulsarPeriodFromRungCert : PulsarPeriodFromRungCert where
 219  normal_median_rung_eq := rfl

proof body

Definition body.

 220  ms_median_rung_eq := rfl
 221  recycling_rung_shift_eq := rfl
 222  period_geometric := period_geometric
 223  bimodal_ratio_pos := bimodal_ratio_pos
 224  bimodal_ratio_gt_thirty := bimodal_ratio_gt_thirty
 225  bimodal_ratio_lt_phi_nine := bimodal_ratio_lt_phi_nine
 226  gap_size_eq := gap_size_eq
 227
 228/-! ## §6. One-statement summary -/
 229
 230/-- **PULSAR PERIOD FROM RECOGNITION-RUNG: ONE-STATEMENT THEOREM
 231(Track AS7).**
 232
 233The pulsar-period bimodal distribution is forced by the canonical
 2348-tick recycling shift between two φ-ladder families: normal
 235pulsars at base period `τ_neutron · φ^k`, millisecond pulsars at
 236base period `τ_neutron · φ^(k-8)`. The bimodal ratio
 237`P_normal_median / P_ms_median = φ^8 > 30` is sharply distinguishable
 238from a continuous distribution. The structural gap of 7 unstable
 239intermediate rungs explains the empirical "pulsar period gap" at
 240`P ≈ 30–100 ms`. -/

depends on (30)

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