wPolarizations
Recognition Science counts six polarization states for the charged W bosons together. A physicist computing electroweak degrees of freedom or decay widths in the RS framework would cite this integer when tallying vector boson modes. The assignment is a direct constant definition that records the standard three helicity states per massive vector boson.
claimThe charged weak bosons $W^+$ and $W^-$ together possess six polarization states.
background
The ElectroweakBosons module derives W and Z masses from the Higgs vacuum expectation value and the weak mixing angle within the Recognition Science mechanism. Electroweak symmetry breaking corresponds to a J-cost minimum, with the VEV placed on the phi-ladder and the mass ratio fixed by cos theta_W. Upstream results supply the meta-realization structure for coherence axioms and multiple definitions of W as the wallpaper-group count of 17 symmetries.
proof idea
One-line definition that directly sets the constant to 6.
why it matters in Recognition Science
The definition supplies the polarization count required for electroweak calculations in propositions P-015 and P-016. It sits inside the gauge-boson sector that follows from D = 3 and the eight-tick octave, yet records no downstream uses so far.
scope and limits
- Does not derive the count 6 from the J-function or Recognition Composition Law.
- Does not exhibit the explicit polarization vectors.
- Does not include Z-boson polarization states.
- Does not connect the count to specific rung placements on the phi-ladder.
formal statement (Lean)
245def wPolarizations : ℕ := 6 -- 3 each for W⁺ and W⁻
proof body
Definition body.
246
247end
248
249end ElectroweakBosons
250end Physics
251end IndisputableMonolith