{
  "utc": "2026-10-01T07:43:52.466564+00:00",
  "scope": "Revised conserved normal-rotation plus Clifford-block charge; exact conditional neutrino bridge and complete bubble neutrality. No selected electromagnetic generator or shared bubble-texture particle solution.",
  "checks": {
    "tangent_chirality_is_block_times_normal_sign": true,
    "charge_square_selects_opposite_chirality": true,
    "charge_annihilates_left_label": true,
    "left_label_rank_four": true,
    "charge_spectrum_including_spin_copies": true,
    "orientation_commutes_with_kinetic_0": true,
    "orientation_commutes_with_kinetic_1": true,
    "orientation_commutes_with_kinetic_2": true,
    "orientation_commutes_with_kinetic_3": true,
    "orientation_commutes_with_kinetic_4": true,
    "charge_label_commutes_with_observer_spin_0_1": true,
    "charge_label_commutes_with_observer_spin_0_2": true,
    "charge_label_commutes_with_observer_spin_1_2": true,
    "charge_label_commutes_with_tangent_kinetic_0": true,
    "charge_label_commutes_with_tangent_kinetic_1": true,
    "charge_label_commutes_with_tangent_kinetic_2": true,
    "orbital_completion_required_3": true,
    "orbital_completion_required_4": true,
    "normal_orbital_spin_covariance": true,
    "normal_kinetic_fixes_orbital_completion": true,
    "neutrality_condition_retains_equal_coefficient_assumption": true,
    "zero_mode_k2_eta-1_m0": true,
    "mode_charge_k2_eta-1_m0": true,
    "zero_mode_k2_eta1_m0": true,
    "mode_charge_k2_eta1_m0": true,
    "zero_mode_k3_eta-1_m0": true,
    "mode_charge_k3_eta-1_m0": true,
    "zero_mode_k3_eta-1_m1": true,
    "mode_charge_k3_eta-1_m1": true,
    "zero_mode_k3_eta1_m0": true,
    "mode_charge_k3_eta1_m0": true,
    "zero_mode_k3_eta1_m1": true,
    "mode_charge_k3_eta1_m1": true,
    "zero_mode_k4_eta-1_m0": true,
    "mode_charge_k4_eta-1_m0": true,
    "zero_mode_k4_eta-1_m1": true,
    "mode_charge_k4_eta-1_m1": true,
    "zero_mode_k4_eta-1_m2": true,
    "mode_charge_k4_eta-1_m2": true,
    "zero_mode_k4_eta1_m0": true,
    "mode_charge_k4_eta1_m0": true,
    "zero_mode_k4_eta1_m1": true,
    "mode_charge_k4_eta1_m1": true,
    "zero_mode_k4_eta1_m2": true,
    "mode_charge_k4_eta1_m2": true,
    "minimum_unit_flux_texture_modes_are_both_neutral": true,
    "higher_winding_contains_charged_handed_modes": true,
    "cumulative_charge_triangular_count_2": true,
    "cumulative_charge_triangular_count_3": true,
    "cumulative_charge_triangular_count_4": true,
    "cumulative_charge_triangular_count_5": true,
    "cumulative_charge_triangular_count_6": true,
    "one_mode_window_3/4": true,
    "continuous_coupling_zero_mode_norm_3/4": true,
    "one_mode_window_1": true,
    "continuous_coupling_zero_mode_norm_1": true,
    "one_mode_window_11/10": true,
    "continuous_coupling_zero_mode_norm_11/10": true,
    "helicity_conditions_allow_a_nonzero_alternative_charge": true,
    "alternative_charge_commutes_with_all_spatial_kinetics": true,
    "complete_bubble_neutral_eta-1_point0": true,
    "complete_bubble_nonlinear_equation_eta-1_point0": true,
    "independent_bubble_orbital_difference_eta-1_point0": true,
    "combined_action_bubble_residual_eta-1_point0": true,
    "complete_bubble_neutral_eta-1_point1": true,
    "complete_bubble_nonlinear_equation_eta-1_point1": true,
    "independent_bubble_orbital_difference_eta-1_point1": true,
    "combined_action_bubble_residual_eta-1_point1": true,
    "complete_bubble_neutral_eta-1_point2": true,
    "complete_bubble_nonlinear_equation_eta-1_point2": true,
    "independent_bubble_orbital_difference_eta-1_point2": true,
    "combined_action_bubble_residual_eta-1_point2": true,
    "complete_bubble_neutral_eta-1_point3": true,
    "complete_bubble_nonlinear_equation_eta-1_point3": true,
    "independent_bubble_orbital_difference_eta-1_point3": true,
    "combined_action_bubble_residual_eta-1_point3": true,
    "complete_bubble_neutral_eta-1_point4": true,
    "complete_bubble_nonlinear_equation_eta-1_point4": true,
    "independent_bubble_orbital_difference_eta-1_point4": true,
    "combined_action_bubble_residual_eta-1_point4": true,
    "complete_bubble_neutral_eta-1_point5": true,
    "complete_bubble_nonlinear_equation_eta-1_point5": true,
    "independent_bubble_orbital_difference_eta-1_point5": true,
    "combined_action_bubble_residual_eta-1_point5": true,
    "complete_bubble_neutral_eta1_point0": true,
    "complete_bubble_nonlinear_equation_eta1_point0": true,
    "independent_bubble_orbital_difference_eta1_point0": true,
    "combined_action_bubble_residual_eta1_point0": true,
    "complete_bubble_neutral_eta1_point1": true,
    "complete_bubble_nonlinear_equation_eta1_point1": true,
    "independent_bubble_orbital_difference_eta1_point1": true,
    "combined_action_bubble_residual_eta1_point1": true,
    "complete_bubble_neutral_eta1_point2": true,
    "complete_bubble_nonlinear_equation_eta1_point2": true,
    "independent_bubble_orbital_difference_eta1_point2": true,
    "combined_action_bubble_residual_eta1_point2": true,
    "complete_bubble_neutral_eta1_point3": true,
    "complete_bubble_nonlinear_equation_eta1_point3": true,
    "independent_bubble_orbital_difference_eta1_point3": true,
    "combined_action_bubble_residual_eta1_point3": true,
    "complete_bubble_neutral_eta1_point4": true,
    "complete_bubble_nonlinear_equation_eta1_point4": true,
    "independent_bubble_orbital_difference_eta1_point4": true,
    "combined_action_bubble_residual_eta1_point4": true,
    "complete_bubble_neutral_eta1_point5": true,
    "complete_bubble_nonlinear_equation_eta1_point5": true,
    "independent_bubble_orbital_difference_eta1_point5": true,
    "combined_action_bubble_residual_eta1_point5": true,
    "observer_spin_half_casimir": true,
    "bubble_left_share_three_quarters": true,
    "bubble_right_share_one_quarter": true,
    "bubble_average_spin_charge_-1": true,
    "bubble_average_orbital_cancellation_-1": true,
    "bubble_average_spin_charge_1": true,
    "bubble_average_orbital_cancellation_1": true,
    "neutral_partial_wave_both_normal_signs_-1": true,
    "neutral_massive_dispersion_-1": true,
    "neutral_massive_both_helicities_-1": true,
    "neutral_partial_wave_both_normal_signs_1": true,
    "neutral_massive_dispersion_1": true,
    "neutral_massive_both_helicities_1": true,
    "even_volume_not_central_2": true,
    "odd_volume_central_3": true,
    "even_volume_not_central_4": true,
    "odd_volume_central_5": true,
    "even_volume_not_central_6": true,
    "even_volume_not_central_10": true,
    "depth_three_reduced_rule_is_block_charge": true,
    "observer_rotation_centralizer_d3": true,
    "normal_rotation_center_d3": true,
    "observer_rotation_centralizer_d4": true,
    "normal_rotation_center_d4": true,
    "observer_rotation_centralizer_d5": true,
    "normal_rotation_center_d5": true,
    "observer_rotation_centralizer_d6": true,
    "normal_rotation_center_d6": true,
    "observer_rotation_centralizer_d10": true,
    "normal_rotation_center_d10": true,
    "bound_free_plane_rotates_cylinder_density": true
  },
  "normal_zero_modes": [
    {
      "winding": 2,
      "eta": -1,
      "orbital_integer": 0,
      "normal_sign": 1,
      "tangent_chirality": -1,
      "charge": "0"
    },
    {
      "winding": 2,
      "eta": 1,
      "orbital_integer": 0,
      "normal_sign": -1,
      "tangent_chirality": -1,
      "charge": "0"
    },
    {
      "winding": 3,
      "eta": -1,
      "orbital_integer": 0,
      "normal_sign": 1,
      "tangent_chirality": -1,
      "charge": "0"
    },
    {
      "winding": 3,
      "eta": -1,
      "orbital_integer": 1,
      "normal_sign": 1,
      "tangent_chirality": -1,
      "charge": "2/3"
    },
    {
      "winding": 3,
      "eta": 1,
      "orbital_integer": 0,
      "normal_sign": -1,
      "tangent_chirality": -1,
      "charge": "0"
    },
    {
      "winding": 3,
      "eta": 1,
      "orbital_integer": -1,
      "normal_sign": -1,
      "tangent_chirality": -1,
      "charge": "-2/3"
    },
    {
      "winding": 4,
      "eta": -1,
      "orbital_integer": 0,
      "normal_sign": 1,
      "tangent_chirality": -1,
      "charge": "0"
    },
    {
      "winding": 4,
      "eta": -1,
      "orbital_integer": 1,
      "normal_sign": 1,
      "tangent_chirality": -1,
      "charge": "2/3"
    },
    {
      "winding": 4,
      "eta": -1,
      "orbital_integer": 2,
      "normal_sign": 1,
      "tangent_chirality": -1,
      "charge": "4/3"
    },
    {
      "winding": 4,
      "eta": 1,
      "orbital_integer": 0,
      "normal_sign": -1,
      "tangent_chirality": -1,
      "charge": "0"
    },
    {
      "winding": 4,
      "eta": 1,
      "orbital_integer": -1,
      "normal_sign": -1,
      "tangent_chirality": -1,
      "charge": "-2/3"
    },
    {
      "winding": 4,
      "eta": 1,
      "orbital_integer": -2,
      "normal_sign": -1,
      "tangent_chirality": -1,
      "charge": "-4/3"
    }
  ],
  "massive_partial_wave_controls": [
    {
      "eta": -1,
      "j": "1/2",
      "ell_plus": "0",
      "ell_minus": "1",
      "energies": [
        -5.0,
        -5.0,
        5.0,
        5.0
      ],
      "positive_energy_helicities": [
        -0.49999999999999994,
        0.49999999999999994
      ]
    },
    {
      "eta": 1,
      "j": "-1/2",
      "ell_plus": "-1",
      "ell_minus": "0",
      "energies": [
        -5.0,
        -5.0,
        5.0,
        5.0
      ],
      "positive_energy_helicities": [
        -0.49999999999999994,
        0.49999999999999994
      ]
    }
  ],
  "depth_controls": [
    {
      "depth": 2,
      "normal_dimensions_relative_to_three": null,
      "orientation_central": false,
      "has_exactly_one_complete_normal_plane": false
    },
    {
      "depth": 3,
      "normal_dimensions_relative_to_three": 0,
      "orientation_central": true,
      "has_exactly_one_complete_normal_plane": false,
      "normal_rotation_algebra_dimension": 0,
      "normal_rotation_center_dimension": 0
    },
    {
      "depth": 4,
      "normal_dimensions_relative_to_three": 1,
      "orientation_central": false,
      "has_exactly_one_complete_normal_plane": false,
      "normal_rotation_algebra_dimension": 0,
      "normal_rotation_center_dimension": 0
    },
    {
      "depth": 5,
      "normal_dimensions_relative_to_three": 2,
      "orientation_central": true,
      "has_exactly_one_complete_normal_plane": true,
      "normal_rotation_algebra_dimension": 1,
      "normal_rotation_center_dimension": 1
    },
    {
      "depth": 6,
      "normal_dimensions_relative_to_three": 3,
      "orientation_central": false,
      "has_exactly_one_complete_normal_plane": false,
      "normal_rotation_algebra_dimension": 3,
      "normal_rotation_center_dimension": 0
    },
    {
      "depth": 10,
      "normal_dimensions_relative_to_three": 7,
      "orientation_central": false,
      "has_exactly_one_complete_normal_plane": false,
      "normal_rotation_algebra_dimension": 21,
      "normal_rotation_center_dimension": 0
    }
  ],
  "bubble": {
    "left_share": "3/4",
    "right_share": "1/4",
    "max_exact_neutrality_residual": 1.8093624708255192e-16,
    "max_finite_difference_residual": 1.8185511996614785e-10,
    "max_combined_action_residual_identity_error": 4.440892098500626e-16
  },
  "sources": {
    "experiments/charge-helicity-spin-bridge-checks.py": "1a8c581fa6d53c40f7486db109b34344daf7a090e49aa5c13105aa85ba0b5317"
  }
}