{
  "date": "2026-10-23",
  "construction": "Tensor actions of the candidate inversion-loop su(3) generators",
  "results": [
    {
      "factors": [
        "q"
      ],
      "representation_dimension": 3,
      "exact_constraint_rank": 3,
      "color_singlet_dimension": 0
    },
    {
      "factors": [
        "q",
        "q"
      ],
      "representation_dimension": 9,
      "exact_constraint_rank": 9,
      "color_singlet_dimension": 0
    },
    {
      "factors": [
        "q",
        "qbar"
      ],
      "representation_dimension": 9,
      "exact_constraint_rank": 8,
      "color_singlet_dimension": 1
    },
    {
      "factors": [
        "q",
        "q",
        "q"
      ],
      "representation_dimension": 27,
      "exact_constraint_rank": 26,
      "color_singlet_dimension": 1
    }
  ],
  "explicit_invariants": {
    "q_qbar": "delta_ij",
    "q_q_q": "epsilon_ijk"
  },
  "interpretation": "Supports distinct splitting into colored excitations and later color-neutral pair/triple closure.",
  "scope": "Representation theory only: no confinement dynamics, hadron spectrum, early-universe transition temperature or derivation of physical amplitudes."
}