IndisputableMonolith.StandardModel.StrongCP
This module introduces the QCD theta parameter in the Recognition Science treatment of the Standard Model strong sector. Physicists studying the strong CP problem and axion resolutions would cite it when linking discrete tick structures to particle parameters. The module organizes definitions, bounds, and solution sketches around the imported constants and eight-tick cycle.
claimThe QCD theta parameter $θ_{QCD}$ is introduced as the phase in the strong interaction sector, expressed relative to the discrete 8-tick phases and the RS time quantum $τ_0 = 1$.
background
The module sits in the StandardModel domain and imports the fundamental RS time quantum $τ_0 = 1$ tick together with the eight-tick discrete clock whose phases are 0, $π/4$, $π/2$, $3π/4$, $π$, $5π/4$, $3π/2$, $7π/4$. These supply the discrete temporal scaffolding for all subsequent Standard Model constructions in Recognition Science.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the theta interface required by the strong CP problem and its axion-based resolutions inside the Recognition framework. It rests on the eight-tick octave (T7) and prepares the ground for theta finetuning arguments and neutron EDM bounds that appear among its sibling declarations.
scope and limits
- Does not derive a dynamical value for $θ_{QCD}$ from the J-functional equation.
- Does not contain the full axion potential or dark-matter calculation.
- Does not connect theta to the phi-ladder mass formula or Berry threshold.
depends on (2)
declarations in this module (26)
-
structure
ThetaQCD -
def
theta_experimental_bound -
def
neutronEDM -
theorem
theta_finetuning -
def
thetaContributions -
structure
AxionSolution -
def
axionProperties -
def
axionDarkMatter -
def
allowedTheta -
def
thetaJCost -
theorem
theta_zero_minimizes -
theorem
theta_zero_selected -
def
comparison -
theorem
rs_axion_compatible -
def
experimentalTests -
def
summary -
structure
StrongCPCert -
def
strongCPCert -
def
theta_RS_predicted -
def
theta_experimental_max -
theorem
theta_RS_inside_experimental -
theorem
abs_theta_RS_lt_bound -
theorem
strong_cp_gap -
structure
StrongCPNumericalCert -
def
strongCPNumericalCert -
structure
StrongCPFalsifier