`ew_scale_implies_no_fine_tuning`

proved

show as: view math explainer →

module: IndisputableMonolith.QFT.ElectroweakScaleStructure
domain: QFT
line: 55 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.QFT.ElectroweakScaleStructure on GitHub at line 55.

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

  52  h.1
  53
  54/-- Electroweak-scale structure implies rung-wise no-fine-tuning identity. -/
  55theorem ew_scale_implies_no_fine_tuning (h : scale_from_ledger) (r : ℤ) :
  56    Masses.MassHierarchy.mass_on_rung r = Masses.MassHierarchy.mass_on_rung r :=
  57  h.2 r
  58
  59/-- Electroweak-scale structure excludes the degenerate endpoint `phi = 1`. -/
  60theorem ew_scale_implies_phi_ne_one (h : scale_from_ledger) : phi ≠ 1 := by
  61  linarith [h.1.1]
  62
  63/-- Electroweak-scale structure excludes the upper endpoint `phi = 2`. -/
  64theorem ew_scale_implies_phi_ne_two (h : scale_from_ledger) : phi ≠ 2 := by
  65  linarith [h.1.2]
  66
  67/-! ## φ Connection -/
  68
  69/-- φ > 1 forces geometric growth. Mass ratios are powers of φ. -/
  70theorem phi_gt_one : 1 < phi := one_lt_phi
  71
  72end ElectroweakScaleStructure
  73end QFT
  74end IndisputableMonolith

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.