`RSBridge`

definition

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module: IndisputableMonolith.RecogSpec.RSBridge
domain: RecogSpec
line: 62 · github
papers citing: none yet

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IndisputableMonolith.RecogSpec.RSBridge on GitHub at line 62.

browse module

All declarations in this module, on Recognition.

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formal source

  59This extends the minimal `Bridge` with fields that determine the CKM matrix
  60from geometric structure rather than arbitrary parameters.
  61-/
  62structure RSBridge (L : RSLedger) where
  63  /-- The underlying bridge -/
  64  toBridge : Bridge L.toLedger
  65  /-- Edge count of dual structure (default: 24) -/
  66  edgeDual : ℕ := edgeDualCount
  67  /-- Fine structure exponent for V_ub -/
  68  alphaExponent : ℝ
  69  /-- Golden projection exponent for Cabibbo (default: -3) -/
  70  phiProj : ℤ := cabibboProjection
  71  /-- Radiative correction coefficient (default: 3/2) -/
  72  radCoeff : ℚ := radiativeCoeff
  73  /-- Loop order exponent for g-2 derivation (default: 5) -/
  74  loopOrder : ℕ := 5
  75
  76/-! ## Mixing Angles from Bridge Structure -/
  77
  78variable {L : RSLedger}
  79
  80/-- V_cb from edge-dual geometry: 1/24
  81
  82This is EXACT — the mixing is the inverse of the dual edge count.
  83-/
  84def V_cb_from_bridge (B : RSBridge L) : ℚ := 1 / B.edgeDual
  85
  86/-- V_cb = 1/24 for canonical bridge -/
  87theorem V_cb_canonical (B : RSBridge L) (hB : B.edgeDual = 24) :
  88    V_cb_from_bridge B = 1 / 24 := by
  89  simp [V_cb_from_bridge, hB]
  90
  91/-- V_cb as a real number -/
  92noncomputable def V_cb_real (B : RSBridge L) : ℝ := (V_cb_from_bridge B : ℝ)

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