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theorem proved term proof

initial_state_is_zero_defect

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formal statement (Lean)

  29theorem initial_state_is_zero_defect (N : ℕ) (hN : 0 < N) :
  30    Foundation.InitialCondition.total_defect
  31      (Foundation.InitialCondition.unity_config N hN) = 0 :=

proof body

Term-mode proof.

  32  Foundation.InitialCondition.unity_defect_zero hN
  33
  34/-! ## Dark Energy from Ledger Vacuum -/
  35
  36/-- The RS prediction for the dark energy density parameter.
  37    Ω_Λ = 11/16 − α/π where α = α_lock from RS constants.
  38
  39    The value 11/16 = 0.6875 comes from the fraction of ledger modes
  40    that are in vacuum (unexcited) state in the 8-tick cycle.
  41    The correction −α/π accounts for the small perturbation from
  42    matter-coupled modes. -/

depends on (19)

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