has_ct_structure

formal source

 126
 127/-! ## IV. Church-Turing Chain -/
 128
 129theorem has_ct_structure : church_turing_physics_from_ledger :=
 130  church_turing_physics_structure
 131
 132/-- The simulation hypothesis structure follows from Church-Turing physics. -/
 133def simulation_hypothesis_from_ledger : Prop := church_turing_physics_from_ledger
 134
 135/-- **THEOREM IC-004.7**: The simulation hypothesis structure holds. -/
 136theorem simulation_hypothesis_structure : simulation_hypothesis_from_ledger :=
 137  has_ct_structure
 138
 139/-- Church-Turing physics implies simulation-hypothesis structure. -/
 140theorem simulation_implies_church_turing (h : simulation_hypothesis_from_ledger) :
 141    church_turing_physics_from_ledger := h
 142
 143/-! ## V. Why the Simulation Question Dissolves -/
 144
 145/-- The simulation argument requires:
 146    1. An external "base reality" R₀
 147    2. A simulation R that faithfully reproduces R₀
 148    3. Our universe might be R, not R₀
 149
 150    In RS, this fails because:
 151    (a) The ledger IS R₀ — it requires no external substrate
 152    (b) Any R that reproduces R₀ is an RS universe with the same structure
 153    (c) The question "are we R or R₀?" reduces to "are we the ledger or the ledger?"
 154
 155    This is proved in theorem simulation_unprovable above. -/
 156def simulation_argument_dissolved : String :=
 157  "Bostrom's argument: Our universe might be R (simulation) not R₀ (base)\n" ++
 158  "RS dissolution:\n" ++
 159  "  (a) Ledger IS R₀: no external substrate needed\n" ++