{
  "title": "Independent normal color and two-sided Hodge contact share one explicit current action",
  "created_utc": "2026-10-09T23:18:30.554131+00:00",
  "checks_passed": 6559,
  "cases": [
    {
      "real_depth": 2,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 2,
        "middle_degree": 1,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": false,
        "sampled_unit_norm_energies": [
          0.0,
          0.0,
          0.0
        ],
        "independent_normal_su3_kinetic_symmetry": true,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.0,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 3,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 4,
        "middle_degree": 2,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": true,
        "sampled_unit_norm_energies": [
          0.1571593418990879,
          0.11344181137390053,
          0.09613726028046332
        ],
        "independent_normal_su3_kinetic_symmetry": true,
        "active_independent_color_channel": true,
        "normal_color_rotation_energy_difference": 0.0,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 4,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 4,
        "middle_degree": 2,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": true,
        "sampled_unit_norm_energies": [
          0.15493237192092624,
          0.13540661897415074,
          0.09961174448317833
        ],
        "independent_normal_su3_kinetic_symmetry": true,
        "active_independent_color_channel": true,
        "normal_color_rotation_energy_difference": 2.7755575615628914e-17,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 5,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 6,
        "middle_degree": 3,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": false,
        "sampled_unit_norm_energies": [
          0.0,
          0.0,
          0.0
        ],
        "independent_normal_su3_kinetic_symmetry": false,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.0,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 6,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 6,
        "middle_degree": 3,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": false,
        "sampled_unit_norm_energies": [
          0.0,
          0.0,
          0.0
        ],
        "independent_normal_su3_kinetic_symmetry": false,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.0,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 7,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 8,
        "middle_degree": 4,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": true,
        "sampled_unit_norm_energies": [
          1.01720557362803,
          0.9640291661510203,
          1.070129719681514
        ],
        "independent_normal_su3_kinetic_symmetry": false,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.0035751319367097745,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 8,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 8,
        "middle_degree": 4,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": true,
        "sampled_unit_norm_energies": [
          1.1489060011542827,
          1.0477255891036408,
          1.0085829347975406
        ],
        "independent_normal_su3_kinetic_symmetry": false,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.01673537860342078,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 9,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 10,
        "middle_degree": 5,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": false,
        "sampled_unit_norm_energies": [
          0.0,
          0.0,
          0.0
        ],
        "independent_normal_su3_kinetic_symmetry": false,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.0,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 10,
      "geometry": "independent normal color current with a symmetric middle-Hodge contact",
      "parameters": {
        "even_carrier_depth": 10,
        "middle_degree": 5,
        "full_kinetic_spinor_rank": 32,
        "source_chiral_projection": false
      },
      "measurements": {
        "instantaneous_current_channel_active": false,
        "sampled_unit_norm_energies": [
          0.0,
          0.0,
          0.0
        ],
        "independent_normal_su3_kinetic_symmetry": false,
        "active_independent_color_channel": false,
        "normal_color_rotation_energy_difference": 0.0,
        "particle_masses_or_force_rates_derived": false
      }
    },
    {
      "real_depth": 4,
      "geometry": "actual chiral adjoint-color middle-form current",
      "parameters": {
        "source_spin_rank": 2,
        "source_color_rank": 3,
        "kinetic_carrier_remains_full": true
      },
      "measurements": {
        "source_energy": "(7 n^2-5 tr(rho_spin^2))/3",
        "sharp_energy_bounds": [
          "2 n^2/3",
          "3 n^2/2"
        ],
        "mixed_phase_averaged_energy": "(14-10s-10c+14sc)/3",
        "unpolarized_spin_pair": "3I-swap_color=(8/3)I-2 sum_A T_A tensor T_A",
        "attractive_force_derived_from_positive_contact": false
      }
    }
  ],
  "scope": "Full spatial field source operators, exact parity, bounded variation and spin-color Fierz tests; no particle simulation.",
  "limitations": [
    "This is a proposed common current interaction, not a derived master law or QCD force.",
    "Odd-sector sources use the existing neighboring even-carrier shadow premise.",
    "The full kinetic field is retained; source projections do not replace its Clifford symbol.",
    "The positive canonical oscillator action is a mode completion, not the derivation of its spatial kinetic reduction.",
    "Other normal-connection and complementary Hodge interactions are not excluded.",
    "Spin dependence remains explicit, and force attraction requires a spatial and dynamical calculation.",
    "The active seven/eight control lacks independent fixed normal SU3 kinetics.",
    "Nonlinear self-interaction can shift frequencies; the observed mass targets have not been rederived."
  ],
  "sources": {
    "experiments/hodge-color-current-checks.py": "085653a3b0ec27ae8d18bb7d25fb9397706bc6d52ff15f98ec4bb0c74151d60f",
    "experiments/normal-color-kinetics-checks.py": "15e50b931c5d5d468a43cbd65b3ea8e17f271e5ce6d69c7054000a84e5514a43",
    "experiments/spinor-hodge-source-checks.py": "c1a9212b8dd1f0e9e525e36db80c322b9487986ca656aa028c2a4cbb8456b38e"
  }
}