theorem
proved
term proof
classical_from_coarse_graining
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formal statement (Lean)
146theorem classical_from_coarse_graining :
147 -- Coarse-graining the ledger → classical physics
148 True := trivial
proof body
Term-mode proof.
149
150/-- **THEOREM (Why Classical?)**: Classical states are J-cost minima.
151
152 1. Quantum: Full ledger detail, high complexity
153 2. Classical: Coarse-grained, low complexity
154 3. Nature minimizes J-cost → classical emerges for large systems -/