m_coh_nanogram_range

formal source

 118
 119/-- The threshold is in the nanogram range — accessible to
 120    optomechanical experiments (Aspelmeyer, Romero-Isart). -/
 121theorem m_coh_nanogram_range : m_coh_kg < 1e-9 ∧ m_coh_kg > 1e-15 := by
 122  unfold m_coh_kg; constructor <;> norm_num
 123
 124/-! ## Distinguishing Predictions -/
 125
 126/-- RS prediction: collapse rate PLATEAUS after orthogonality (A → const).
 127    Penrose-Diósi: collapse rate continues growing with 1/d tail.
 128    This is a sharp distinguisher. -/
 129def post_orthogonality_plateau : Prop :=
 130  ∀ theta : ℝ, Real.pi / 2 ≤ theta → theta ≤ Real.pi →
 131    rate_action theta ≤ rate_action (Real.pi / 2) + 1
 132
 133/-! ## Certificate -/
 134
 135structure CoherenceCollapseCert where
 136  C_is_2A : ∀ θ, recognition_action θ = 2 * rate_action θ
 137  born_positive : ∀ C, 0 < born_weight C
 138  normalization : ∀ θ, Real.sin θ ^ 2 + Real.cos θ ^ 2 = 1
 139  threshold_nanogram : m_coh_kg < 1e-9
 140
 141theorem coherence_collapse_cert : CoherenceCollapseCert where
 142  C_is_2A := C_equals_2A
 143  born_positive := born_weight_pos
 144  normalization := born_normalization
 145  threshold_nanogram := by unfold m_coh_kg; norm_num
 146
 147end
 148
 149end CoherenceCollapseBridge
 150end Gravity
 151end IndisputableMonolith