def
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step_e_mu
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IndisputableMonolith.RRF.Physics.LeptonGenerations.Defs on GitHub at line 37.
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All declarations in this module, on Recognition.
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depends on
used by
-
lepton_integer_slot_iff_bundle_no_hk -
lepton_real_scale_iff_bundle_no_hc_pos -
o4_channel_closure_certificate -
o4_slot_forcing_certificate -
step_e_mu_channel_split -
step_e_mu_denominator_iff_quadratic_scale -
step_e_mu_denominator_iff_quadratic_scale_no_hk -
step_e_mu_full_family_forced_from_channel_match -
step_e_mu_full_family_forced_from_channel_match_no_hk -
step_e_mu_full_family_forced_from_passive_term -
step_e_mu_full_family_forced_from_passive_term_no_hk -
step_e_mu_full_mixed_family_forced_from_passive_and_channel -
step_e_mu_full_mixed_family_forced_from_passive_and_channel_no_hk -
step_e_mu_full_mixed_family_forced_from_passive_and_quadratic_scale -
step_e_mu_full_mixed_family_forced_from_passive_and_quadratic_scale_no_hk -
step_e_mu_full_real_family_forced_from_passive_term -
step_e_mu_full_real_family_forced_from_passive_term_no_hc_pos -
step_e_mu_invpi_denominator_forced -
step_e_mu_invpi_denominator_forced_from_quadratic_scale -
step_e_mu_invpi_denominator_forced_from_quadratic_scale_no_hk -
step_e_mu_invpi_denominator_forced_no_hk -
step_e_mu_invpi_quadratic_forced -
step_e_mu_invpi_quadratic_forced_no_hk -
step_e_mu_invpi_scale_forced -
step_e_mu_invpi_scale_forced_no_hc_pos -
step_e_mu_passive_term_forced -
step_e_mu_quadratic_scale_forced -
step_e_mu_scale_iff_passive_term_no_hc_pos -
predicted_residue_mu -
step_e_mu -
gap_minus_shift_bounds_proven -
inv_4pi_bounds -
lepton_ladder_forced_from_T9 -
lepton_ladder_forced_from_T9_v2 -
step_e_mu_bounds -
step_e_mu_bounds_v2 -
predicted_residue_mu -
inv_4pi_bounds -
lepton_ladder_forced_from_T9 -
step_e_mu_bounds
formal source
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). -/
42noncomputable def step_mu_tau : ℝ :=
43 (cube_faces 3 : ℝ) - (2 * wallpaper_groups + 3) / 2 * α
44
45/-! ## Predicted Residues -/
46
47/-- Predicted Muon Residue. -/
48noncomputable def predicted_residue_mu : ℝ :=
49 (gap 1332 - refined_shift) + step_e_mu
50
51/-- Predicted Tau Residue. -/
52noncomputable def predicted_residue_tau : ℝ :=
53 predicted_residue_mu + step_mu_tau
54
55/-! ## Mass Predictions -/
56
57/-- Predicted Muon Mass. -/
58noncomputable def predicted_mass_mu : ℝ :=
59 electron_structural_mass * phi ^ predicted_residue_mu
60
61/-- Predicted Tau Mass. -/
62noncomputable def predicted_mass_tau : ℝ :=
63 electron_structural_mass * phi ^ predicted_residue_tau
64
65end LeptonGenerations
66end Physics
67end IndisputableMonolith