IndisputableMonolith.Physics.Hadrons
The module defines simple hadrons as quark-antiquark pairs using the Z-map and gap function. Particle physicists deriving masses in the Recognition Science framework cite it for meson and Regge relations. It supplies definitions for composite rungs, mass formulas, and linearity checks with no complex proofs.
claimHadrons are quark pairs with charge index $Z = \tilde{q}^2 + \tilde{q}^4$ (+4 for quarks) and mass $m = \mu_* \phi^{r-8 + F(Z)}$ where $F(Z) = \ln(1 + Z/\phi)/\ln(\phi)$. Regge trajectories satisfy $m^2$ linear in angular momentum with nonnegative slope.
background
The module sits in the RSBridge.Anchor setting that maps the 12 Standard Model fermions to an integer charge index ZOf and a gap function F. Constants supplies the base time quantum $\tau_0 = 1$ tick while Compat provides project shims. Hadrons are treated as the simplest composites (meson = quark-antiquark) on the phi-ladder.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
Supplies the hadronic sector that ParticleSummary imports to obtain Standard Model parameters from Recognition Science. It closes the bridge from the anchor definitions (Fermion, ZOf, gap, massAtAnchor) to observable meson masses and Regge slopes.
scope and limits
- Does not derive full QCD dynamics or confinement.
- Does not treat baryons beyond simple quark pairs.
- Does not compute decay widths or lifetimes.
- Does not address excited states outside the Regge trajectory.