Recorded data and provenance for the associated calculation.
| 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. |
View complete data
{
"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"
}
}