module module moderate

`IndisputableMonolith.StandardModel.StrongCP`

The StandardModel.StrongCP module introduces the QCD theta parameter in Recognition Science. Researchers examining the strong CP problem inside the discrete RS framework would cite it. The module collects definitions and relations built on the imported 8-tick cycle and fundamental time quantum without internal proofs.

claimThe QCD theta parameter $θ_{QCD}$ that controls strong CP violation.

background

Recognition Science operates on the discrete 8-tick cycle whose phases are 0, π/4, π/2, 3π/4, π, 5π/4, 3π/2, 7π/4. The fundamental time quantum is given by τ₀ = 1 tick. The module sits inside the StandardModel domain and supplies the theta parameter together with its experimental and theoretical relations using these imported structures.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the QCD theta parameter that feeds the strong-CP discussion inside the Recognition Science Standard Model. It connects directly to the eight-tick octave (T7) and supplies the setting for sibling results on axions and experimental bounds.

scope and limits

Does not derive a numerical value for θ_QCD from the forcing chain.
Does not prove the axion solution to the strong CP problem.
Does not contain experimental data or bounds.
Does not link theta to mass formulas or the phi-ladder.

depends on (2)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Foundation.EightTick module_import

declarations in this module (26)

structure ThetaQCD L48
def theta_experimental_bound L55
def neutronEDM L62
theorem theta_finetuning L72
def thetaContributions L83
structure AxionSolution L99
def axionProperties L104
def axionDarkMatter L111
def allowedTheta L122
def thetaJCost L130
theorem theta_zero_minimizes L133
theorem theta_zero_selected L153
def comparison L172
theorem rs_axion_compatible L183
def experimentalTests L199
def summary L214
structure StrongCPCert L227
def strongCPCert L232
def theta_RS_predicted L254
def theta_experimental_max L257
theorem theta_RS_inside_experimental L260
theorem abs_theta_RS_lt_bound L267
theorem strong_cp_gap L277
structure StrongCPNumericalCert L291
def strongCPNumericalCert L300
structure StrongCPFalsifier L313