IndisputableMonolith.Quantum.QMInterpretationStructure

   1import Mathlib
   2import IndisputableMonolith.Quantum.ClassicalEmergence
   3
   4namespace IndisputableMonolith
   5namespace Quantum
   6namespace QMInterpretationStructure
   7
   8open ClassicalEmergence
   9
  10/-- RS interpretation content: classical description emerges as a J-cost minimum. -/
  11def qm_interpretation_from_ledger : Prop :=
  12  ∀ N : ℕ, N > 1 → jcostEntangled N 1 1 > jcostProduct N 1
  13
  14theorem qm_interpretation_structure : qm_interpretation_from_ledger := by
  15  intro N hN
  16  simpa using entangled_higher_cost N hN 1 1 (by norm_num)
  17
  18/-- QM-interpretation structure implies entangled J-cost exceeds product J-cost. -/
  19theorem qm_interpretation_implies_cost_gap (h : qm_interpretation_from_ledger)
  20    (N : ℕ) (hN : N > 1) :
  21    jcostEntangled N 1 1 > jcostProduct N 1 :=
  22  h N hN
  23
  24end QMInterpretationStructure
  25end Quantum
  26end IndisputableMonolith
  27