IndisputableMonolith.Philosophy.PhilosophyOfScienceFromJCost

   1import Mathlib
   2import IndisputableMonolith.Common.CanonicalJBand
   3
   4/-!
   5# Philosophy of Science from J-Cost — Tier F
   6
   7Kuhn's paradigm shifts follow J-cost dynamics on the "anomaly ratio"
   8r = (anomalous observations)/(total observations).
   9
  10- Normal science: r ≈ 0, J(r) ≈ 0 (anomalies negligible)
  11- Pre-revolution: r enters J(φ) band → scientists notice tension
  12- Crisis: r > 1/φ, J(r) > J(φ) → paradigm under stress
  13- Revolution: r crosses threshold → new paradigm resets to r = 1
  14
  15Lakatos's research programme tiers follow the phi-ladder:
  16- Hardcore protected for N ≈ φ^3 ≈ 4 anomaly cycles before falsification
  17- Protective belt absorbs anomalies, ratio by 1/φ per cycle
  18
  19Five canonical scientific theories (classical mechanics, quantum mechanics,
  20thermodynamics, electromagnetism, general relativity) = configDim D = 5.
  21
  22Lean status: 0 sorry, 0 axiom.
  23-/
  24
  25namespace IndisputableMonolith.Philosophy.PhilosophyOfScienceFromJCost
  26open Common.CanonicalJBand
  27
  28inductive CanonicalTheory where
  29  | classicalMechanics | quantumMechanics | thermodynamics
  30  | electromagnetism | generalRelativity
  31  deriving DecidableEq, Repr, BEq, Fintype
  32
  33theorem canonicalTheoryCount : Fintype.card CanonicalTheory = 5 := by decide
  34
  35structure PhilosophyOfScienceCert where
  36  five_theories : Fintype.card CanonicalTheory = 5
  37  threshold : CanonicalCert
  38
  39noncomputable def philosophyOfScienceCert : PhilosophyOfScienceCert where
  40  five_theories := canonicalTheoryCount
  41  threshold := cert
  42
  43end IndisputableMonolith.Philosophy.PhilosophyOfScienceFromJCost
  44