IndisputableMonolith.Physics.LeptonGenerations.Defs

   1import Mathlib
   2import IndisputableMonolith.Constants
   3import IndisputableMonolith.PhiSupport
   4import IndisputableMonolith.Constants.AlphaDerivation
   5import IndisputableMonolith.Physics.ElectronMass.Defs
   6import IndisputableMonolith.Physics.MassTopology
   7import IndisputableMonolith.RSBridge.Anchor
   8
   9/-!
  10# T10 Lepton Generations Definitions
  11
  12This module contains the core definitions for the lepton mass derivations.
  13The definitions are separated from theorems/axioms to break import cycles.
  14-/
  15
  16namespace IndisputableMonolith
  17namespace Physics
  18namespace LeptonGenerations
  19
  20open Real Constants AlphaDerivation MassTopology ElectronMass RSBridge
  21
  22-- α is defined in Constants namespace
  23noncomputable abbrev α : ℝ := Constants.alpha
  24
  25/-! ## Observed Masses (for verification) -/
  26
  27/-- Muon mass (MeV) - CODATA 2022 -/
  28def mass_mu_MeV : ℝ := 105.6583755
  29
  30/-- Tau mass (MeV) - CODATA 2022 -/
  31def mass_tau_MeV : ℝ := 1776.86
  32
  33/-! ## Topological Steps -/
  34
  35/-- Step 1: Electron to Muon.
  36    Driven by Passive Edges (11) and Spherical Geometry (1/4π). -/
  37noncomputable def step_e_mu : ℝ :=
  38  (E_passive : ℝ) + 1 / (4 * Real.pi) - α ^ 2
  39
  40/-- Step 2: Muon to Tau.
  41    Driven by Faces (6) and Wallpaper Symmetry (17).
  42    Coefficient: W + D/2 = (2W + D)/2. -/
  43noncomputable def step_mu_tau : ℝ :=
  44  (cube_faces D : ℝ) - (2 * wallpaper_groups + D) / 2 * α
  45
  46/-! ## Predicted Residues -/
  47
  48/-- Predicted Muon Residue. -/
  49noncomputable def predicted_residue_mu : ℝ :=
  50  (gap 1332 - refined_shift) + step_e_mu
  51
  52/-- Predicted Tau Residue. -/
  53noncomputable def predicted_residue_tau : ℝ :=
  54  predicted_residue_mu + step_mu_tau
  55
  56/-! ## Mass Predictions -/
  57
  58/-- Predicted Muon Mass. -/
  59noncomputable def predicted_mass_mu : ℝ :=
  60  electron_structural_mass * phi ^ predicted_residue_mu
  61
  62/-- Predicted Tau Mass. -/
  63noncomputable def predicted_mass_tau : ℝ :=
  64  electron_structural_mass * phi ^ predicted_residue_tau
  65
  66end LeptonGenerations
  67end Physics
  68end IndisputableMonolith
  69