Recorded data and provenance for the associated calculation.
| 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 |
| scope | Full spatial field source operators, exact parity, bounded variation and spin-color Fierz tests; no particle simulation. |
View complete data
{
"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"
}
}