Recorded data and provenance for the associated calculation.

Download recorded JSON

timestamp20260914T041717_300951Z
scopeCovariance, complete principal embedding, and retained-frame propagation.
passedtrue
View complete data
{
  "timestamp": "20260914T041717_300951Z",
  "scope": "Covariance, complete principal embedding, and retained-frame propagation.",
  "passed": true,
  "checks": [
    {
      "name": "all physical spinor and partner components d=2",
      "error": 4.987579033833361e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete current map d=2",
      "error": 3.1401849173675503e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete canonical structure d=2",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "actual Clifford principal embedding d=2",
      "error": 1.5700924586837752e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields have no frame source d=2",
      "error": 5.105158858686012e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields retain the full Clifford equation d=2",
      "error": 9.783840404509192e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "all physical spinor and partner components d=4",
      "error": 8.809835774098991e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete current map d=4",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete canonical structure d=4",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "actual Clifford principal embedding d=4",
      "error": 3.1401849173675503e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields have no frame source d=4",
      "error": 5.016350408331136e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields retain the full Clifford equation d=4",
      "error": 2.4780656631855675e-15,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "all physical spinor and partner components d=6",
      "error": 1.0123093827854126e-15,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete current map d=6",
      "error": 5.438959822042073e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete canonical structure d=6",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "actual Clifford principal embedding d=6",
      "error": 7.373533910551417e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields have no frame source d=6",
      "error": 1.4373563231129564e-15,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields retain the full Clifford equation d=6",
      "error": 1.958282264493444e-15,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "all physical spinor and partner components d=10",
      "error": 9.932877766232829e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete current map d=10",
      "error": 7.021666937153402e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete canonical structure d=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "actual Clifford principal embedding d=10",
      "error": 4.89978779775228e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields have no frame source d=10",
      "error": 1.7433617080908646e-15,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "orthogonal fields retain the full Clifford equation d=10",
      "error": 3.093410830783734e-15,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete independent-frame kinetic covariance d=6",
      "error": 2.2593038551121936e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "current vector covariance with independent frame d=6",
      "error": 7.505561329662603e-17,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "full acoustic frame action covariance d=6",
      "error": 3.242077049986189e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "added action vanishes on aligned uniform frame d=6",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "first frame variation vanishes on existing branch d=6",
      "error": 2.2204460492503128e-11,
      "tolerance": 1e-08,
      "passed": true
    },
    {
      "name": "positive current-locking energy d=6",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete independent-frame kinetic covariance d=10",
      "error": 2.272054072660623e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "current vector covariance with independent frame d=10",
      "error": 4.539542973135448e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "full acoustic frame action covariance d=10",
      "error": 3.1676639673831405e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "added action vanishes on aligned uniform frame d=10",
      "error": 4.440892098500626e-16,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "first frame variation vanishes on existing branch d=10",
      "error": 0.0,
      "tolerance": 1e-08,
      "passed": true
    },
    {
      "name": "positive current-locking energy d=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "full spatial tensor expectation of the frame gyroscopic term",
      "error": 5.669533731378351e-10,
      "tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=0",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=0",
      "error": 1.0658141036401503e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=0.01",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=0.01",
      "error": 1.7763568394002505e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=0.3",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=0.3",
      "error": 3.552713678800501e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=1",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=1",
      "error": 8.881784197001252e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=12,k=1",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=10",
      "error": 1.4210854715202004e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=12,k=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=100",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=100",
      "error": 3.552713678800501e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=12,k=100",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=1000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=1000",
      "error": 3.410605131648481e-13,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=12,k=1000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=12,k=10000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=12,k=10000",
      "error": 9.094947017729282e-13,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=12,k=10000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "old gyroscopic connection is recovered at low frequency d=6,N=12",
      "error": 2.477703873572419e-09,
      "tolerance": 3e-07,
      "passed": true
    },
    {
      "name": "old constrained carrier retains its nilpotent defect d=6,N=12",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "old nilpotent defect square d=6,N=12",
      "error": 0.0,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=0",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=0",
      "error": 3.552713678800501e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=0.01",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=0.01",
      "error": 5.93275428784068e-16,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=0.3",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=0.3",
      "error": 2.842170943040401e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=1",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=1",
      "error": 2.842170943040401e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=34,k=1",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=10",
      "error": 1.4210854715202004e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=34,k=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=100",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=100",
      "error": 1.1368683772161603e-13,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=34,k=100",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=1000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=1000",
      "error": 1.1368683772161603e-13,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=34,k=1000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=6,N=34,k=10000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=6,N=34,k=10000",
      "error": 3.637978807091713e-12,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=6,N=34,k=10000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "old gyroscopic connection is recovered at low frequency d=6,N=34",
      "error": 5.5680422492060565e-08,
      "tolerance": 3e-07,
      "passed": true
    },
    {
      "name": "old constrained carrier retains its nilpotent defect d=6,N=34",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "old nilpotent defect square d=6,N=34",
      "error": 0.0,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=0",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=0",
      "error": 2.1316282072803006e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=0.01",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=0.01",
      "error": 7.105427357601002e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=0.3",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=0.3",
      "error": 7.105427357601002e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=1",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=1",
      "error": 7.105427357601002e-15,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=10,N=22,k=1",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=10",
      "error": 3.197442310920451e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=10,N=22,k=10",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=100",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=100",
      "error": 3.552713678800501e-14,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=10,N=22,k=100",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=1000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=1000",
      "error": 4.547473508864641e-13,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=10,N=22,k=1000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "wave-number-independent energy estimate d=10,N=22,k=10000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "complete analytic frame frequencies d=10,N=22,k=10000",
      "error": 8.185452315956354e-12,
      "tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "complete retained-frame propagator obeys uniform estimate d=10,N=22,k=10000",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "old gyroscopic connection is recovered at low frequency d=10,N=22",
      "error": 1.5120774167280127e-08,
      "tolerance": 3e-07,
      "passed": true
    },
    {
      "name": "old constrained carrier retains its nilpotent defect d=10,N=22",
      "error": 0.0,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "old nilpotent defect square d=10,N=22",
      "error": 0.0,
      "tolerance": 2e-09,
      "passed": true
    }
  ],
  "results": [
    {
      "depth": 6,
      "degree": 12,
      "norm_bound_rate": 4.828427124746191,
      "resonant_wave_numbers": [
        0.0829037686547607,
        1.1547005383792515,
        1.1547005383792517,
        16.08290376865476
      ],
      "propagators": [
        {
          "wave_number": 1,
          "amplification": 12.862893572475516
        },
        {
          "wave_number": 10,
          "amplification": 6.5266018858203685
        },
        {
          "wave_number": 100,
          "amplification": 6.439565745182328
        },
        {
          "wave_number": 1000,
          "amplification": 6.438509287097349
        },
        {
          "wave_number": 10000,
          "amplification": 6.438501044992067
        }
      ]
    },
    {
      "depth": 6,
      "degree": 34,
      "norm_bound_rate": 4.828427124746191,
      "resonant_wave_numbers": [
        0.029392707398935895,
        1.1547005383792515,
        1.1547005383792517,
        45.36272604073227
      ],
      "propagators": [
        {
          "wave_number": 1,
          "amplification": 12.862893572475516
        },
        {
          "wave_number": 10,
          "amplification": 6.526601885820389
        },
        {
          "wave_number": 100,
          "amplification": 6.440054352707103
        },
        {
          "wave_number": 1000,
          "amplification": 6.438510085447859
        },
        {
          "wave_number": 10000,
          "amplification": 6.438501045292572
        }
      ]
    },
    {
      "depth": 10,
      "degree": 22,
      "norm_bound_rate": 4.828427124746191,
      "resonant_wave_numbers": [
        0.04538432714260726,
        1.1547005383792515,
        1.1547005383792517,
        29.37871766047594
      ],
      "propagators": [
        {
          "wave_number": 1,
          "amplification": 12.862893572475528
        },
        {
          "wave_number": 10,
          "amplification": 6.526601885820401
        },
        {
          "wave_number": 100,
          "amplification": 6.439716374169452
        },
        {
          "wave_number": 1000,
          "amplification": 6.438509503324916
        },
        {
          "wave_number": 10000,
          "amplification": 6.43850104511121
        }
      ]
    }
  ],
  "raw_data": {
    "path": "dynamical-frame-20260914T041717_300951Z.npz",
    "sha256": "d6cabf78993b08a8baaed9971b785eba60d8e1f893d465043f298045c788c13c"
  },
  "sources": {
    "dynamical_rest_frame.py": "0ff773416784b00e8fe4d8aa79b1e977bbf0cbb6809f75c601155a999d7fc17d",
    "dynamical_frame_checks.py": "9f94da8a50ca3195fb5a5100143bc5ccb88420f20c06b4448101f8094fa3e026",
    "rest_current_carrier.py": "6cb0a6a22efcda00fec9ee308cd3d944da73cb130dda576cdbdef05b0cb8bfd3",
    "localized_current_model.py": "bea8db856f55959328e92d99c089ed26db3b35e717533c67a14c9444d5f1a2e4",
    "graded_current_tower.py": "cf0f72cb6d078df086ec594550155d6518b00255ed46a16d669790edb093a602",
    "coherent_mode_algebra.py": "4fbcbb6a1fbaa5a1a7de387746eda4d00f69fe22bbdb1e906c8795f8bb786dff"
  }
}