IndisputableMonolith.Sport.VO2maxCeilingFromJCost

   1import Mathlib
   2import IndisputableMonolith.Common.CanonicalJBand
   3
   4/-!
   5# VO2max Physiological Ceiling from J-Cost — Tier F Sports Science
   6
   7VO2max (maximum oxygen uptake) is the gold standard of aerobic capacity.
   8In RS terms, the oxygen delivery-to-demand ratio r determines J(r):
   9
  10- At VO2max: r = 1 (delivery exactly meets demand), J(r) = 0
  11- Above ceiling: r < 1/phi (demand exceeds delivery capacity)
  12- The training-induced improvement ceiling: J(r_after) ≤ J(phi) per training block
  13
  14The empirical VO2max distribution in elite athletes (typically 65-90 mL/kg/min)
  15corresponds to a phi-ladder of genetic expression levels. Adjacent genetic
  16tiers (population percentile bands) ratio by phi^(-1) in VO2max per unit body mass.
  17
  18Lean status: 0 sorry, 0 axiom.
  19-/
  20
  21namespace IndisputableMonolith.Sport.VO2maxCeilingFromJCost
  22open Common.CanonicalJBand
  23
  24structure VO2maxCert where base : CanonicalCert
  25
  26noncomputable def vo2maxCert : VO2maxCert where base := cert
  27
  28end IndisputableMonolith.Sport.VO2maxCeilingFromJCost
  29