Recorded data and provenance for the associated calculation.
| timestamp | 20260914T131301_562773Z |
|---|---|
| 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": "20260914T131301_562773Z",
"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-5 kernel",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact full depth-5 generalized vector",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "physical orthogonality depth-5",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact physical secular coefficient depth-5",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega1,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega1,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega1,t1.0",
"error": 1.1102230246251565e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega10,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega10,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega10,t1.0",
"error": 3.3306690738754696e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega18564,t0.01",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega18564,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega18564,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega3838380,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega3838380,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-5,omega3838380,t1.0",
"error": 4.440892098500626e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact full depth-6 kernel",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact full depth-6 generalized vector",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "physical orthogonality depth-6",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact physical secular coefficient depth-6",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega1,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega1,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega1,t1.0",
"error": 1.1102230246251565e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega10,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega10,t0.1",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega10,t1.0",
"error": 3.3306690738754696e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega18564,t0.01",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega18564,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega18564,t1.0",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega3838380,t0.01",
"error": 0.0,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega3838380,t0.1",
"error": 2.220446049250313e-16,
"tolerance": 1e-12,
"passed": true
},
{
"name": "exact chain amplification depth-6,omega3838380,t1.0",
"error": 4.440892098500626e-16,
"tolerance": 1e-12,
"passed": true
}
],
"results": [
{
"depth": 5,
"frequency": 1,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 1.5713484026367723,
"one_time_unit_amplification_lower_bound": 1.8625616238044678
},
{
"depth": 5,
"frequency": 10,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 2.410201194064196,
"one_time_unit_amplification_lower_bound": 2.609419436554514
},
{
"depth": 5,
"frequency": 18564,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 4125.333435083435,
"one_time_unit_amplification_lower_bound": 4125.333556285757
},
{
"depth": 5,
"frequency": 3838380,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 852973.3333338255,
"one_time_unit_amplification_lower_bound": 852973.3333344116
},
{
"depth": 6,
"frequency": 1,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 1.5713484026367723,
"one_time_unit_amplification_lower_bound": 1.8625616238044678
},
{
"depth": 6,
"frequency": 10,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 2.410201194064196,
"one_time_unit_amplification_lower_bound": 2.609419436554514
},
{
"depth": 6,
"frequency": 18564,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 4125.333435083435,
"one_time_unit_amplification_lower_bound": 4125.333556285757
},
{
"depth": 6,
"frequency": 3838380,
"metric": "1/9",
"gap": 1,
"binding": 2,
"critical_transverse_wave_number": "sqrt(3)",
"secular_rate": 852973.3333338255,
"one_time_unit_amplification_lower_bound": 852973.3333344116
}
],
"sources": {
"experiments/polarization_packet_response.py": "a0c126970e4a511f058e970676d999b27988b278a4aaea9f606f75ddc9305a12",
"experiments/polarization_bound_core.py": "b6428084852d678707e5dbc89ccbba03fb2415850a46d649694759890081e45c",
"experiments/polarization_frozen_response.py": "b1ed0a704674e74a6ed8fa73ce0601965285a4ddda4167cff653c89264b1528d",
"experiments/localized_current_model.py": "bea8db856f55959328e92d99c089ed26db3b35e717533c67a14c9444d5f1a2e4"
},
"raw_data": {
"path": "polarization-packet-20260914T131301_562773Z.npz",
"sha256": "7aabd94ae65330c9dbb63482e03aa2b40201880dcac3d4fbe5900ec48b4fee40"
},
"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."
}