module module moderate

`IndisputableMonolith.Physics.WeakForceEmergence`

Module WeakForceEmergence assembles definitions for the Fermi constant G_F and related weak-force objects from the phi-forced ledger and electroweak boson structure. Physicists modeling discrete origins of the weak interaction cite it for the RS-native expression of G_F in GeV^{-2}. The module contains only definitions and one-line wrappers that link imported constants to the weak range and SU(2) generators.

claimThe Fermi constant satisfies $G_F$ (in GeV$^{-2}$) as the effective four-fermion coupling strength derived from the J-cost ledger and the phi-ladder rung structure for the weak bosons.

background

The module imports the RS time quantum $\tau_0 = 1$ tick from Constants. PhiForcing proves that $\phi$ is forced by self-similarity in a discrete ledger with J-cost. ElectroweakBosons derives W and Z masses from the RS Higgs mechanism and the weak mixing angle. Sibling definitions such as fermiConstant, weakRange_fm, su2Generators, and parity_violation then express the emergence of the weak force in these units.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the Fermi constant and weak-boson counting objects that feed into electroweak unification calculations within Recognition Science. It closes the link from the phi-forcing chain (T5 J-uniqueness, T6 fixed point, T7 eight-tick octave) to the weak sector parameters, consistent with the RCL and the alpha band.

scope and limits

Does not derive the full electroweak Lagrangian.
Does not compute numerical values of G_F beyond the definition.
Does not address strong-force or gravitational emergence.
Does not prove parity violation from first principles.

depends on (3)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Foundation.PhiForcing module_import
IndisputableMonolith.Physics.ElectroweakBosons module_import

declarations in this module (28)

def fermiConstant L53
def hbar_c_GeV_fm L56
def weakRange_fm L59
def su2Generators L64
def weakBosonCount L67
theorem su2_from_3d L70
theorem weak_bosons_eq_generators L73
def leftHandedCouples L78
def rightHandedCouples L81
theorem parity_violation L84
def leptonDoublet L90
def quarkDoublet L93
def doubletsPerGeneration L96
def totalDoublets L99
theorem weak_range_short L104
def gf_from_mw L110
theorem gf_matches L116
def totalWeakPolarizations L202
theorem weak_polarizations_near_8 L204
theorem nine_eq_8_plus_1 L207
def weakIsospin L210
theorem doublet_from_isospin L213
def betaDecayViaW L218
def muonDecayViaW L221
theorem charged_current_uses_W L224
def ckmDimension L230
def ckmParameters L233
theorem ckm_params_3_plus_1 L236