Recorded data and provenance for the associated calculation.
| timestamp | 20260914T140629_150256Z |
|---|---|
| scope | Exact full-multiplet Jordan chain for the localized core's tail operator. Translated broad packets promote this chain to unbounded amplification of the formal full-space linearized evolution. Nonlinear stability is separate. |
| passed | true |
| domain | Canonical L2 norm of the formal linearized real field, before quotienting global symmetries. |
| limitation | The packet argument is analytic. This report verifies its full-multiplet Jordan chain; it is not a nonlinear core time simulation. |
View complete data
{
"timestamp": "20260914T140629_150256Z",
"scope": "Exact full-multiplet Jordan chain for the localized core's tail operator.\n\nTranslated broad packets promote this chain to unbounded amplification of\nthe formal full-space linearized evolution. Nonlinear stability is separate.\n",
"passed": true,
"checks": [
{
"name": "exact full depth-3 kernel",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact full depth-3 generalized vector",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "physical orthogonality depth-3",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact physical secular coefficient depth-3",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega1,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega1,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega1,t1.0",
"error": 1.1102230246251565e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega10,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega10,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega10,t1.0",
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"tolerance": 1e-12,
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},
{
"name": "exact chain amplification depth-3,omega20,t0.01",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega20,t0.1",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega20,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega816,t0.01",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega816,t0.1",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega816,t1.0",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega969,t0.01",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega969,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-3,omega969,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact full depth-4 kernel",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact full depth-4 generalized vector",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "physical orthogonality depth-4",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact physical secular coefficient depth-4",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega1,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega1,t0.1",
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"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega1,t1.0",
"error": 1.1102230246251565e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega10,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega10,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega10,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega15,t0.01",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega15,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega15,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega8855,t0.01",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega8855,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega8855,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega1215450,t0.01",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega1215450,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-4,omega1215450,t1.0",
"error": 1.1102230246251565e-16,
"tolerance": 1e-12,
"passed": true
}
],
"results": [
{
"depth": 3,
"frequency": 1,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 1.697056274847714,
"one_time_unit_amplification_lower_bound": 1.969771560359221
},
{
"depth": 3,
"frequency": 10,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 4.179156198881954,
"one_time_unit_amplification_lower_bound": 4.297132361779593
},
{
"depth": 3,
"frequency": 20,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 8.089893944910543,
"one_time_unit_amplification_lower_bound": 8.15146514682485
},
{
"depth": 3,
"frequency": 816,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 326.40220588078853,
"one_time_unit_amplification_lower_bound": 326.40373772958645
},
{
"depth": 3,
"frequency": 969,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 387.6018575842051,
"one_time_unit_amplification_lower_bound": 387.6031475655563
},
{
"depth": 4,
"frequency": 1,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 1.697056274847714,
"one_time_unit_amplification_lower_bound": 1.969771560359221
},
{
"depth": 4,
"frequency": 10,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 4.179156198881954,
"one_time_unit_amplification_lower_bound": 4.297132361779593
},
{
"depth": 4,
"frequency": 15,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 6.119748968187202,
"one_time_unit_amplification_lower_bound": 6.20091343542452
},
{
"depth": 4,
"frequency": 8855,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 3542.000203274985,
"one_time_unit_amplification_lower_bound": 3542.0003444381587
},
{
"depth": 4,
"frequency": 1215450,
"metric": "1/5",
"spinor_rank": 4,
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 486180.0000014809,
"one_time_unit_amplification_lower_bound": 486180.00000250933
}
],
"sources": {
"experiments/mass_operator_sectors.py": "c61bc3b54dd0807c6b457217038dc171756aca07b96f655f5ca7dfc1af50ffbe",
"experiments/polarization_packet_response.py": "72873acfb045fe06818166a5664f8b44e2a36ba4c5b482e674a896f33825ec24",
"experiments/polarization_bound_core.py": "b6428084852d678707e5dbc89ccbba03fb2415850a46d649694759890081e45c",
"experiments/polarization_frozen_response.py": "b1ed0a704674e74a6ed8fa73ce0601965285a4ddda4167cff653c89264b1528d",
"experiments/localized_current_model.py": "bea8db856f55959328e92d99c089ed26db3b35e717533c67a14c9444d5f1a2e4"
},
"raw_data": {
"path": "polarization-packet-20260914T140629_150256Z.npz",
"sha256": "5c1a773f745d2494449b1860e63dc54416f751b4c5dffda8f661eba642d94ab4"
},
"domain": "Canonical L2 norm of the formal linearized real field, before quotienting global symmetries.",
"limitation": "The packet argument is analytic. This report verifies its full-multiplet Jordan chain; it is not a nonlinear core time simulation."
}