Recorded data and provenance for the associated calculation.
| experiment_key | tensor-color-cancellation-20261009 |
|---|---|
| created | 2026-10-09T20:58:09.869575+00:00 |
| scope | Exact oscillator count, representation and source tests; no particle simulations. |
View complete data
{
"experiment_key": "tensor-color-cancellation-20261009",
"created": "2026-10-09T20:58:09.869575+00:00",
"sources": {
"experiments/tensor-color-cancellation-checks.py": "c14fea1a32bb3f33bcce2bce5eb5e231f8f64b6ccff08633c63001950d83228c"
},
"scope": "Exact oscillator count, representation and source tests; no particle simulations.",
"summary": {
"checks_passed": 3750,
"case_count": 38,
"count_identity_selects_depth": false,
"conjugate_pair_all_rank_singlet": true,
"full_dual_pair_also_cancels_U1": true,
"neutrality_does_not_imply_zero_nonuniform_response": true
},
"cases": [
{
"name": "shell-splits",
"real_depth": 2,
"parameters": {
"splits": [
[
1,
1
]
]
},
"measurements": {
"all_splits_factorize": true
}
},
{
"name": "shell-splits",
"real_depth": 3,
"parameters": {
"splits": [
[
1,
2
],
[
2,
1
]
]
},
"measurements": {
"all_splits_factorize": true
}
},
{
"name": "shell-splits",
"real_depth": 4,
"parameters": {
"splits": [
[
1,
3
],
[
2,
2
],
[
3,
1
]
]
},
"measurements": {
"all_splits_factorize": true
}
},
{
"name": "shell-splits",
"real_depth": 5,
"parameters": {
"splits": [
[
1,
4
],
[
2,
3
],
[
3,
2
],
[
4,
1
]
]
},
"measurements": {
"all_splits_factorize": true
}
},
{
"name": "shell-splits",
"real_depth": 6,
"parameters": {
"splits": [
[
1,
5
],
[
2,
4
],
[
3,
3
],
[
4,
2
],
[
5,
1
]
]
},
"measurements": {
"all_splits_factorize": true
}
},
{
"name": "shell-splits",
"real_depth": 10,
"parameters": {
"splits": [
[
1,
9
],
[
2,
8
],
[
3,
7
],
[
4,
6
],
[
5,
5
],
[
6,
4
],
[
7,
3
],
[
8,
2
],
[
9,
1
]
]
},
"measurements": {
"all_splits_factorize": true
}
},
{
"name": "paired-casimir",
"parameters": {
"rank": 2
},
"measurements": {
"fundamental_casimir": "3/4",
"dual_pair_singlet_rank": 1,
"dual_pair_adjoint_gap": 2,
"identical_antisymmetric_casimir": "0",
"identical_symmetric_casimir": "2",
"singlet_source_norm": "3/4*(a-b)^2"
}
},
{
"name": "paired-casimir",
"parameters": {
"rank": 3
},
"measurements": {
"fundamental_casimir": "4/3",
"dual_pair_singlet_rank": 1,
"dual_pair_adjoint_gap": 3,
"identical_antisymmetric_casimir": "4/3",
"identical_symmetric_casimir": "10/3",
"singlet_source_norm": "4/3*(a-b)^2"
}
},
{
"name": "paired-casimir",
"parameters": {
"rank": 4
},
"measurements": {
"fundamental_casimir": "15/8",
"dual_pair_singlet_rank": 1,
"dual_pair_adjoint_gap": 4,
"identical_antisymmetric_casimir": "5/2",
"identical_symmetric_casimir": "9/2",
"singlet_source_norm": "15/8*(a-b)^2"
}
},
{
"name": "paired-casimir",
"parameters": {
"rank": 5
},
"measurements": {
"fundamental_casimir": "12/5",
"dual_pair_singlet_rank": 1,
"dual_pair_adjoint_gap": 5,
"identical_antisymmetric_casimir": "18/5",
"identical_symmetric_casimir": "28/5",
"singlet_source_norm": "12/5*(a-b)^2"
}
},
{
"name": "three-triplet-two-body-control",
"parameters": {
"rank": 3,
"slots": 3
},
"measurements": {
"total_generator_squared": 0,
"each_pair_contraction": "-2/3",
"sum_pair_contraction": "-2"
}
},
{
"name": "full-hodge-pairing",
"real_depth": 2,
"parameters": {
"channel_rank": 1
},
"measurements": {
"endomorphism_rank": 1,
"trace_singlet_rank": 1,
"traceless_rank": 0,
"casimir_gap": 0
}
},
{
"name": "full-hodge-pairing",
"real_depth": 3,
"parameters": {
"channel_rank": 3
},
"measurements": {
"endomorphism_rank": 9,
"trace_singlet_rank": 1,
"traceless_rank": 8,
"casimir_gap": 3
}
},
{
"name": "full-hodge-pairing",
"real_depth": 4,
"parameters": {
"channel_rank": 3
},
"measurements": {
"endomorphism_rank": 9,
"trace_singlet_rank": 1,
"traceless_rank": 8,
"casimir_gap": 3
}
},
{
"name": "full-hodge-pairing",
"real_depth": 5,
"parameters": {
"channel_rank": 10
},
"measurements": {
"endomorphism_rank": 100,
"trace_singlet_rank": 1,
"traceless_rank": 99,
"casimir_gap": 10
}
},
{
"name": "full-hodge-pairing",
"real_depth": 6,
"parameters": {
"channel_rank": 10
},
"measurements": {
"endomorphism_rank": 100,
"trace_singlet_rank": 1,
"traceless_rank": 99,
"casimir_gap": 10
}
},
{
"name": "full-hodge-pairing",
"real_depth": 7,
"parameters": {
"channel_rank": 35
},
"measurements": {
"endomorphism_rank": 1225,
"trace_singlet_rank": 1,
"traceless_rank": 1224,
"casimir_gap": 35
}
},
{
"name": "full-hodge-pairing",
"real_depth": 8,
"parameters": {
"channel_rank": 35
},
"measurements": {
"endomorphism_rank": 1225,
"trace_singlet_rank": 1,
"traceless_rank": 1224,
"casimir_gap": 35
}
},
{
"name": "full-hodge-pairing",
"real_depth": 10,
"parameters": {
"channel_rank": 126
},
"measurements": {
"endomorphism_rank": 15876,
"trace_singlet_rank": 1,
"traceless_rank": 15875,
"casimir_gap": 126
}
},
{
"name": "assigned-oscillator-invariants",
"real_depth": 2,
"mode_index": 76,
"parameters": {
"particle": "W",
"complex_rank": 1,
"unpaired_real_directions": 0,
"group": "SU(1)"
},
"measurements": {
"shell_singlets": 76,
"band_singlets": 2926,
"full_band_count": 2926,
"singlet_fraction": "1"
}
},
{
"name": "assigned-oscillator-invariants",
"real_depth": 2,
"mode_index": 81,
"parameters": {
"particle": "Z",
"complex_rank": 1,
"unpaired_real_directions": 0,
"group": "SU(1)"
},
"measurements": {
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"band_singlets": 3321,
"full_band_count": 3321,
"singlet_fraction": "1"
}
},
{
"name": "assigned-oscillator-invariants",
"real_depth": 2,
"mode_index": 95,
"parameters": {
"particle": "H",
"complex_rank": 1,
"unpaired_real_directions": 0,
"group": "SU(1)"
},
"measurements": {
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"band_singlets": 4560,
"full_band_count": 4560,
"singlet_fraction": "1"
}
},
{
"name": "assigned-oscillator-invariants",
"real_depth": 3,
"mode_index": 1,
"parameters": {
"particle": "down",
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"unpaired_real_directions": 1,
"group": "SU(1)"
},
"measurements": {
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"band_singlets": 1,
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"singlet_fraction": "1"
}
},
{
"name": "assigned-oscillator-invariants",
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"mode_index": 4,
"parameters": {
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"unpaired_real_directions": 1,
"group": "SU(1)"
},
"measurements": {
"shell_singlets": 10,
"band_singlets": 20,
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"singlet_fraction": "1"
}
},
{
"name": "assigned-oscillator-invariants",
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"mode_index": 3,
"parameters": {
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"group": "SU(2)"
},
"measurements": {
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"full_band_count": 15,
"singlet_fraction": "2/15"
}
},
{
"name": "assigned-oscillator-invariants",
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"parameters": {
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},
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}
},
{
"name": "assigned-oscillator-invariants",
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"parameters": {
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},
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}
},
{
"name": "assigned-oscillator-invariants",
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},
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}
},
{
"name": "assigned-oscillator-invariants",
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}
},
{
"name": "assigned-oscillator-invariants",
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},
{
"name": "assigned-oscillator-invariants",
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"parameters": {
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"group": "SU(3)"
},
"measurements": {
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},
{
"name": "assigned-oscillator-invariants",
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"parameters": {
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}
},
{
"name": "assigned-oscillator-invariants",
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"parameters": {
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},
{
"name": "same-color-subgroup",
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"parameters": {
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},
{
"name": "same-color-subgroup",
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},
{
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},
{
"name": "same-color-subgroup",
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{
"name": "same-color-subgroup",
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}
]
}