IndisputableMonolith.StandardModel.CKMMatrix
The CKMMatrix module defines the Cabibbo angle and Wolfenstein-parameterized CKM matrix elements for quark mixing in the Recognition Science Standard Model. Flavor physicists or model builders extending RS to weak interactions would reference these values. The module is a pure collection of definitions that imports the Constants module for RS-native units and lists explicit parameters without theorems.
claimThe module defines the Cabibbo angle $\theta_c$ (mixing between first and second quark generations) together with Wolfenstein parameters $\lambda, A, \rho, \eta$ and the CKM matrix elements $V_{ud}, V_{us}, V_{ub}, V_{cd}, V_{cs}, V_{cb}$.
background
The module resides in the StandardModel domain and imports IndisputableMonolith.Constants, whose sole documented object is the fundamental RS time quantum $\tau_0 = 1$ tick. It introduces the Cabibbo angle $\theta_c$ for 1-2 generation mixing and the full set of Wolfenstein parameters plus the six listed matrix elements as named constants or functions.
No additional notation or upstream theorems beyond the Constants import appear in the supplied facts. The module therefore supplies the concrete numerical or symbolic entries needed for any CKM-dependent calculation inside the RS Standard Model.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the CKM matrix definitions required by the Standard Model sector of Recognition Science. It extends the base Constants module into flavor physics and would be referenced by any future theorems constructing the full weak-interaction Lagrangian or CP-violating observables, although no downstream uses are currently recorded.
scope and limits
- Does not derive numerical values from the phi-ladder or J-cost.
- Does not prove unitarity of the CKM matrix.
- Does not connect the angle to the alpha band or eight-tick octave.
depends on (1)
declarations in this module (40)
-
def
cabibboAngle -
theorem
cabibbo_value -
def
wolfenstein_lambda -
def
wolfenstein_A -
def
wolfenstein_rho -
def
wolfenstein_eta -
def
V_ud -
def
V_us -
def
V_ub -
def
V_cd -
def
V_cs -
def
V_cb -
def
V_td -
def
V_ts -
def
V_tb -
def
hypothesis1 -
def
hypothesis2 -
def
hypothesis3 -
def
hypothesis4 -
def
hypothesis5 -
def
hypothesis6 -
def
bestCabibboFit -
structure
GenerationPhases -
def
mixingAngle -
theorem
gen12_mixing_largest -
def
jarlskogInvariant -
theorem
cp_violation_small -
def
unitarityAngle_alpha -
def
unitarityAngle_beta -
def
unitarityAngle_gamma -
theorem
triangle_sum -
def
predictions -
def
J_CP_obs -
theorem
eta_bar_pos -
theorem
rho_bar_pos -
theorem
eta_bar_interval -
theorem
rho_bar_interval -
theorem
unitarity_triangle_valid -
def
experimentalValues -
structure
CKMFalsifier