G(2) Glueball Boson Stars as Restricted Kerr Mimickers in the Thomas--Fermi Limit

We investigate whether horizonless compact stars made of dark glueball matter from a broken exceptional G(2) gauge sector can reproduce selected Kerr observables within a Thomas--Fermi effective-fluid description. We introduce GC9, a scale-separated G(2) -inspired positive nonic-density closure whose high-density stiffness, bag-free surface and Q-ball safety make it a useful compact-star benchmark. After Thomas--Fermi rescaling, reduced stellar observables are independent of the microscopic glueball mass m G, while the collective stiffness Λ T fixes the dimensional mass and radius. Solving the TOV, Hinderer and Hartle--Thorne systems, we obtain a stable maximum-mass compactness C=0.3247, tidal deformability Λ=4.37, I C 3/2=0.947, and slow-rotation quadrupole Q=1.522. At j=0.328, the same-order ISCO shift is 1.24%. The stable endpoint has no light ring, but its exterior Regge--Wheeler barrier supports a genuine static axial mode, Mω=0.463846-0.098881i, with a damping time about ten percent shorter than Schwarzschild and a real frequency 24.1% higher. A polarization-balanced vector realization has the same isotropic bulk EOS; moderate residual anisotropy changes static and first-order observables only at the few-percent level, while the full coupled vector spectrum remains open. Cowling calculations identify matter-supported quadrupolar modes. The scalar-burst, seeded-collapse and cosmological sections are phenomenological: a fixed Λ T gives a compact Kerr-comparison branch only near its own maximum mass, so the multi-sector scenario assumes distinct constant- Λ T branches from the keV supermassive sector to the PeV asteroid-mass sector. GC9 therefore defines a falsifiable restricted Kerr-mimicry framework for gravitational-wave, horizon-scale and compact-dark-matter tests.