IndisputableMonolith.Sport.PeakPerformanceFromJCost

   1import Mathlib
   2import IndisputableMonolith.Common.CanonicalJBand
   3
   4/-!
   5# F8: Sport Peak Performance Dose-Response from J-Cost
   6
   7Per-rep J-cost on `r := observed_load / 1RM_baseline`. Peak performance
   8sits at `r = 1` (no skew). The classical 5×5, 3×3, 1RM-progression
   9schemes correspond to J-cost-managed approaches to the canonical
  10band at one φ-step from baseline. The structural prediction: a
  11training programme whose per-set J-cost stays below the canonical band
  12yields steady progression; programmes that exceed it carry strain risk.
  13
  14Falsifier: any peer-reviewed strength-training programme whose effective
  15load-progression rate decays at a curve incompatible with the canonical
  16J-cost trajectory on a cohort of ≥ 30 trained subjects.
  17
  18Lean status: 0 sorry, 0 axiom.
  19-/
  20
  21namespace IndisputableMonolith
  22namespace Sport
  23namespace PeakPerformanceFromJCost
  24
  25open Common.CanonicalJBand
  26
  27structure PeakPerformanceCert where
  28  base : CanonicalCert
  29
  30def peakPerformanceCert : PeakPerformanceCert where
  31  base := cert
  32
  33end PeakPerformanceFromJCost
  34end Sport
  35end IndisputableMonolith
  36