Recorded data and provenance for the associated calculation.
| experiment_key | hodge-reality-cancellation-20261009 |
|---|---|
| created_utc | 2026-10-09T21:09:16.357832+00:00 |
| scope | Middle-Hodge conjugation and explicit same-law kinetic current counterexample; no particle simulations. |
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{
"experiment_key": "hodge-reality-cancellation-20261009",
"created_utc": "2026-10-09T21:09:16.357832+00:00",
"sources": {
"experiments/hodge-reality-cancellation-checks.py": "42f0d3f5b4010588c2e94b063ef62956d8900f52c33897d81faca93fe8883c44"
},
"scope": "Middle-Hodge conjugation and explicit same-law kinetic current counterexample; no particle simulations.",
"summary": {
"checks_passed": 1915,
"case_count": 7,
"six_and_ten_have_naturally_conjugate_middle_channels": true,
"conjugate_reality_alone_forces_neutral_current": false
},
"cases": [
{
"name": "middle-hodge-reality",
"real_depth": 2,
"parameters": {
"middle_degree": 1,
"shadow_depth": 1
},
"measurements": {
"each_channel_rank": 1,
"star_squared": -1,
"chirality_exchanged_by_conjugation": true,
"eigenvalues": [
"i",
"-i"
]
}
},
{
"name": "middle-hodge-reality",
"real_depth": 4,
"parameters": {
"middle_degree": 2,
"shadow_depth": 3
},
"measurements": {
"each_channel_rank": 3,
"star_squared": 1,
"chirality_exchanged_by_conjugation": false,
"eigenvalues": [
"1",
"-1"
]
}
},
{
"name": "middle-hodge-reality",
"real_depth": 6,
"parameters": {
"middle_degree": 3,
"shadow_depth": 5
},
"measurements": {
"each_channel_rank": 10,
"star_squared": -1,
"chirality_exchanged_by_conjugation": true,
"eigenvalues": [
"i",
"-i"
]
}
},
{
"name": "middle-hodge-reality",
"real_depth": 8,
"parameters": {
"middle_degree": 4,
"shadow_depth": 7
},
"measurements": {
"each_channel_rank": 35,
"star_squared": 1,
"chirality_exchanged_by_conjugation": false,
"eigenvalues": [
"1",
"-1"
]
}
},
{
"name": "middle-hodge-reality",
"real_depth": 10,
"parameters": {
"middle_degree": 5,
"shadow_depth": 9
},
"measurements": {
"each_channel_rank": 126,
"star_squared": -1,
"chirality_exchanged_by_conjugation": true,
"eigenvalues": [
"i",
"-i"
]
}
},
{
"name": "middle-hodge-reality",
"real_depth": 12,
"parameters": {
"middle_degree": 6,
"shadow_depth": 11
},
"measurements": {
"each_channel_rank": 462,
"star_squared": 1,
"chirality_exchanged_by_conjugation": false,
"eigenvalues": [
"1",
"-1"
]
}
},
{
"name": "conjugate-reality-noether-control",
"parameters": {
"kinetics": "positive second-order norm",
"representations": "3 direct-sum conjugate3"
},
"measurements": {
"sum_algebraic_densities": "0",
"sum_noether_currents": "-2*omega",
"kinetic_norm": "2*omega**2",
"same-sign_first-order_kinetic_sum": "0"
}
}
]
}