weakBosonCount
plain-language theorem explainer
The definition assigns the count of weak bosons to three, corresponding to the W+, W-, and Z0 mediators. A physicist modeling emergent SU(2) symmetry from three-dimensional rotations cites this when tallying polarization states or matching to generators. The implementation is a direct constant assignment with no lemmas or computation.
Claim. The number of massive weak bosons $W^{+}$, $W^{-}$, $Z^{0}$ is defined to be $3$.
background
The Weak Force Emergence module derives the weak nuclear force from ledger geometry in Recognition Science. SU(2)_L symmetry emerges from the three generators of rotations in three spatial dimensions, with chirality from the eight-tick cycle and masses from the J-cost minimum at phi. This supplies the integer count of the three massive mediators. It follows directly from the three-dimensional geometry fixed by the forcing chain.
proof idea
The declaration is a direct definition assigning the natural number 3. No tactics or lemmas are applied; the value is set explicitly to match the three SU(2) generators.
why it matters
This definition feeds totalWeakPolarizations, which multiplies by three to obtain nine polarization states equaling 8 plus 1, and the theorem equating the count to the number of SU(2) generators. It fills the emergence step where three-dimensional space (T8) produces exactly three weak bosons. The module predicts parity violation and short range consistent with observation.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.