IndisputableMonolith.Physics.ElectroweakBosons
The ElectroweakBosons module supplies definitions for W and Z boson masses, vacuum expectation value, weak mixing angle, and related ratios expressed in GeV. Physicists deriving the weak force from the RS ledger would cite these constants when matching to observed electroweak parameters. It is a definition module consisting of direct assignments without proofs or derivations.
claimDefinitions of the W-boson mass $m_W$ (GeV), Z-boson mass $m_Z$ (GeV), vacuum expectation value $v$ (GeV), $\sin^2 heta_W$, $rac{m_W}{m_Z}$, and weak coupling $g$ in the Recognition Science framework.
background
The module imports the RS time quantum $ au_0 = 1$ tick from Constants and the self-similar discrete ledger with J-cost from PhiForcing, where phi is forced as the fixed point of self-similarity. These supply the phi-ladder and J-cost structure used to anchor electroweak scales. The local setting is the emergence of the weak sector from the same ledger that produces the phi-forced constants and eight-tick octave.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
Supplies the electroweak parameters that feed the WeakForceEmergence module (P-019), which derives the weak nuclear force from the ledger structure. It closes the interface between the phi-forcing foundation and the explicit boson masses needed for weak interaction phenomenology.
scope and limits
- Does not derive the masses from the J-cost equation or RCL.
- Does not prove consistency with the alpha band or D=3.
- Does not address neutrino masses or CKM mixing.
used by (1)
depends on (2)
declarations in this module (36)
-
def
wBosonMass_GeV -
def
zBosonMass_GeV -
def
vev_GeV -
def
sin2_theta_W -
def
cos_theta_W -
def
wz_mass_ratio -
theorem
wz_ratio_equals_cos_theta -
def
predicted_z_from_w -
def
weak_coupling_g -
theorem
weak_coupling_approx -
theorem
w_mass_near_80 -
theorem
z_mass_near_91 -
theorem
z_heavier_than_w -
theorem
wz_masses_positive -
theorem
wz_masses_not_equal -
theorem
sin2_theta_approx -
theorem
sin2_theta_window -
theorem
sin2_theta_not_half -
theorem
wz_ratio_lt_one -
def
electronMass_GeV -
def
w_electron_ratio -
def
phi_23 -
def
phi_24 -
def
vev_electron_ratio -
def
phi_27 -
def
higgsMass_GeV -
def
higgs_w_ratio -
theorem
higgs_w_near_phi -
def
z_w_ratio -
theorem
z_w_ratio_approx -
theorem
vev_determines_scale -
theorem
vev_not_equal_higgs_mass -
def
electroweakBosons -
theorem
electroweak_8_tick -
def
zPolarizations -
def
wPolarizations