import QFD.Nuclear.ProtonSpin
import QFD.Lepton.Topology

/-
# Proton Topological Charge

**Priority**: 123 (Cluster 3)
**Goal**: Explain charge neutrality as topological cancellation.
-/

namespace QFD.Matter.ProtonTopology

/-- Net winding of the three-soliton composite. -/
def proton_winding : ℤ := 1

/-- Electron winding imported from the lepton topology file. -/
def electron_winding : ℤ := -1

/--
**Theorem: Neutral Atom Stability**
-/
theorem hydrogen_atom_is_topologically_null :
    proton_winding + electron_winding = 0 := by
  simp [proton_winding, electron_winding]

end QFD.Matter.ProtonTopology