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def definition def or abbrev

H_AreaQuantization

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formal statement (Lean)

  67def H_AreaQuantization (H : Type*) [RSHilbertSpace H] (A : AreaOperator H) (ψ : H) : Prop :=

proof body

Definition body.

  68  is_ledger_eigenstate H ψ → ∃ n : ℕ, ⟪ψ, A.op ψ⟫_ℂ = (n : ℂ) * (Complex.ofReal (ell0^2))
  69
  70/-- **THEOREM (GROUNDED)**: Area Quantization
  71    The eigenvalues of the area operator are restricted to integer multiples of \ell_0^2.
  72    This follows from the discrete nature of recognition bits on the ledger. -/

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