pith. machine review for the scientific record. sign in
theorem

solar_correction_eq

proved
show as:
view math explainer →
module
IndisputableMonolith.Physics.PMNSCorrections
domain
Physics
line
114 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Physics.PMNSCorrections on GitHub at line 114.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

 111/-- The solar radiative correction is 10α. -/
 112noncomputable def solar_correction : ℝ := (solar_coefficient : ℝ) * alpha
 113
 114theorem solar_correction_eq : solar_correction = 10 * alpha := by
 115  unfold solar_correction solar_coefficient
 116  rfl
 117
 118/-! ## Derivation of the Coefficient 3/2 (Cabibbo) -/
 119
 120/-- The Cabibbo correction coefficient is faces / 4.
 121
 122    **Physical interpretation**: The quark sector's 3-generation torsion
 123    (φ⁻³ weight) couples via face-diagonal paths. The 6 faces divided by
 124    4 (the number of vertices per face, or equivalently the vertex-edge
 125    weight in the dual lattice) gives 3/2. -/
 126def cabibbo_coefficient : ℚ := 3 / 2
 127
 128theorem cabibbo_coefficient_eq_3_2 : cabibbo_coefficient = 3/2 := rfl
 129
 130theorem cabibbo_coefficient_from_geometry :
 131    cabibbo_coefficient = (cube_faces 3 : ℚ) / 4 := by
 132  unfold cabibbo_coefficient cube_faces
 133  norm_num
 134
 135/-- The Cabibbo radiative correction is (3/2)α. -/
 136noncomputable def cabibbo_correction : ℝ := (cabibbo_coefficient : ℝ) * alpha
 137
 138theorem cabibbo_correction_eq : cabibbo_correction = (3/2) * alpha := by
 139  unfold cabibbo_correction cabibbo_coefficient
 140  norm_num
 141
 142/-! ## Verification Against MixingGeometry -/
 143
 144/-- Verify that our derived corrections match MixingGeometry definitions. -/