{
  "program": "dirac-wave-packets.py",
  "passed": true,
  "script_sha256": "a015ba7b2533066dba569d51e109d4c085e875d29a8d2128d86449a6debb063b",
  "environment": {
    "python": "3.12.14",
    "numpy": "2.3.5",
    "platform": "Windows-11-10.0.26300-SP0"
  },
  "randomness": "none",
  "units": "c=hbar=1; m>0; 1D spin-up z-motion sector",
  "basis": "(upper,lower) embeds as (upper,0,lower,0); alpha=sigma_x, beta=sigma_z",
  "method": "unitary spatial FFT and exact finite-mode cosine/sine evolution",
  "time_step_error": "not applicable; dt refinement tests a numerical derivative only",
  "parameters": {
    "mass": 1.0,
    "length": 128.0,
    "points": 1024,
    "width": 2.0,
    "center": -6.0,
    "momentum": 0.9,
    "final_time": 24.0,
    "time_samples": 5
  },
  "interpretation": [
    "Energy sectors are momentum-dependent operator projectors, not fixed components.",
    "Both sector populations are positive Hilbert-space norms, not pair-production probabilities.",
    "Sector dephasing is a statistical mixture; coherent fields retain local interference.",
    "Raw periodic-box moments are not unwrapped line positions after wraparound.",
    "Line moments require all reported diagnostics; the travel guard is conservative and is not a compact-support theorem.",
    "Zitterbewegung uses the ordinary Dirac position representation and is not a literal electron trajectory.",
    "Fixed self-check fixtures are separate from configurable profile parameters; inspect the latter's edge/cutoff diagnostics."
  ],
  "sector_fixtures": {
    "positive_only": {
      "positive_norm": 0.9999999999999999,
      "negative_norm": 4.672495161459654e-32,
      "maximum_interference_velocity": 1.6945813215944008e-16
    },
    "negative_only": {
      "positive_norm": 4.672495161459654e-32,
      "negative_norm": 0.9999999999999999,
      "maximum_interference_velocity": 2.272501174448617e-16
    },
    "upper_component_only": {
      "positive_norm": 0.8732873297021364,
      "negative_norm": 0.12671267029786357,
      "maximum_interference_velocity": 0.4755593725577943
    },
    "coherent_mixed": {
      "positive_norm": 0.8249407400167025,
      "negative_norm": 0.1750592599832979,
      "maximum_interference_velocity": 0.5651701412148074
    }
  },
  "checks": [
    {
      "name": "exact rational H squared",
      "passed": true,
      "evidence": "m=4/5, k=3/5, E=1"
    },
    {
      "name": "exact rational plus projector",
      "passed": true,
      "evidence": null
    },
    {
      "name": "exact rational plus projected velocity",
      "passed": true,
      "evidence": null
    },
    {
      "name": "exact rational minus projector",
      "passed": true,
      "evidence": null
    },
    {
      "name": "exact rational minus projected velocity",
      "passed": true,
      "evidence": null
    },
    {
      "name": "exact rational orthogonal sectors",
      "passed": true,
      "evidence": null
    },
    {
      "name": "m=0.01: H Hermitian",
      "value": 0.0,
      "absolute_tolerance": 0,
      "passed": true
    },
    {
      "name": "m=0.01: scaled H squared",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01: independent eigensolver projectors",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01: plus idempotence",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01: plus projected velocity",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01: minus idempotence",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01: minus projected velocity",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01: sector orthogonality",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=0.01,t=0: unitarity",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=0.01,t=0: independent spectral evolution",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=0.01,t=0.17: unitarity",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=0.01,t=0.17: independent spectral evolution",
      "value": 1.1132766142240573e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=0.01,t=-2.3: unitarity",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=0.01,t=-2.3: independent spectral evolution",
      "value": 1.110365352886749e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=1: H Hermitian",
      "value": 0.0,
      "absolute_tolerance": 0,
      "passed": true
    },
    {
      "name": "m=1: scaled H squared",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1: independent eigensolver projectors",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1: plus idempotence",
      "value": 2.7755575615628914e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1: plus projected velocity",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1: minus idempotence",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1: minus projected velocity",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1: sector orthogonality",
      "value": 3.8949711917580665e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=1,t=0: unitarity",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=1,t=0: independent spectral evolution",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=1,t=0.17: unitarity",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=1,t=0.17: independent spectral evolution",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=1,t=-2.3: unitarity",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=1,t=-2.3: independent spectral evolution",
      "value": 4.043936460517003e-17,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=100: H Hermitian",
      "value": 0.0,
      "absolute_tolerance": 0,
      "passed": true
    },
    {
      "name": "m=100: scaled H squared",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100: independent eigensolver projectors",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100: plus idempotence",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100: plus projected velocity",
      "value": 5.681219383824043e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100: minus idempotence",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100: minus projected velocity",
      "value": 5.681219383824043e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100: sector orthogonality",
      "value": 5.680996144813627e-17,
      "absolute_tolerance": 8e-15,
      "passed": true
    },
    {
      "name": "m=100,t=0: unitarity",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=100,t=0: independent spectral evolution",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=100,t=0.17: unitarity",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=100,t=0.17: independent spectral evolution",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=100,t=-2.3: unitarity",
      "value": 1.7985612998927536e-14,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "m=100,t=-2.3: independent spectral evolution",
      "value": 9.6590998277241e-15,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "massless E=0 exact evolution limit",
      "value": 0.0,
      "absolute_tolerance": 0,
      "passed": true
    },
    {
      "name": "massless zero mode refuses undefined sector split",
      "passed": true,
      "evidence": null
    },
    {
      "name": "positive_only,t=0: position diagnostics controlled",
      "passed": true,
      "evidence": 5.875002454337765e-32
    },
    {
      "name": "positive_only,t=0.3: position diagnostics controlled",
      "passed": true,
      "evidence": 5.360763054316093e-32
    },
    {
      "name": "positive_only,t=2: position diagnostics controlled",
      "passed": true,
      "evidence": 6.510050603473363e-32
    },
    {
      "name": "positive_only,t=7: position diagnostics controlled",
      "passed": true,
      "evidence": 1.1608101163160085e-31
    },
    {
      "name": "positive_only,t=24: position diagnostics controlled",
      "passed": true,
      "evidence": 3.212182603484386e-30
    },
    {
      "name": "positive_only: norm and energy conservation",
      "value": 4.440892098500626e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "positive_only: fixed sector populations",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "positive_only: independent branch evolution",
      "value": 1.1310182307843201e-15,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "positive_only: local continuity",
      "value": 5.30825383648903e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "positive_only: pointwise abs(j)<=rho",
      "value": 4.276423536147513e-50,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "positive_only: Heisenberg velocity",
      "value": 4.440892098500626e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "positive_only: Heisenberg position with wrap control",
      "value": 4.440892098500626e-15,
      "absolute_tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "positive_only: dephased mixture norm, current bound and constant drift",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "positive_only: no energy-sector interference velocity",
      "value": 1.6945813215944008e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "positive energy is not upper-component-only",
      "passed": true,
      "evidence": {
        "lower_component_weight": 0.12448075335454195,
        "negative_sector_weight": 4.672495161459654e-32
      }
    },
    {
      "name": "negative_only,t=0: position diagnostics controlled",
      "passed": true,
      "evidence": 5.875002454337765e-32
    },
    {
      "name": "negative_only,t=0.3: position diagnostics controlled",
      "passed": true,
      "evidence": 5.917012289216879e-32
    },
    {
      "name": "negative_only,t=2: position diagnostics controlled",
      "passed": true,
      "evidence": 6.617865595348989e-32
    },
    {
      "name": "negative_only,t=7: position diagnostics controlled",
      "passed": true,
      "evidence": 1.6182899396123264e-31
    },
    {
      "name": "negative_only,t=24: position diagnostics controlled",
      "passed": true,
      "evidence": 5.2815333520772485e-30
    },
    {
      "name": "negative_only: norm and energy conservation",
      "value": 4.440892098500626e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "negative_only: fixed sector populations",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "negative_only: independent branch evolution",
      "value": 1.1408141421455503e-15,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "negative_only: local continuity",
      "value": 4.718447854656915e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "negative_only: pointwise abs(j)<=rho",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "negative_only: Heisenberg velocity",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "negative_only: Heisenberg position with wrap control",
      "value": 5.329070518200751e-15,
      "absolute_tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "negative_only: dephased mixture norm, current bound and constant drift",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "negative_only: no energy-sector interference velocity",
      "value": 2.272501174448617e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "upper_component_only,t=0: position diagnostics controlled",
      "passed": true,
      "evidence": 2.145639683321109e-32
    },
    {
      "name": "upper_component_only,t=0.3: position diagnostics controlled",
      "passed": true,
      "evidence": 2.2560063327100288e-32
    },
    {
      "name": "upper_component_only,t=2: position diagnostics controlled",
      "passed": true,
      "evidence": 3.598602278326334e-32
    },
    {
      "name": "upper_component_only,t=7: position diagnostics controlled",
      "passed": true,
      "evidence": 8.695918659305661e-32
    },
    {
      "name": "upper_component_only,t=24: position diagnostics controlled",
      "passed": true,
      "evidence": 4.8853076607275185e-30
    },
    {
      "name": "upper_component_only: norm and energy conservation",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "upper_component_only: fixed sector populations",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "upper_component_only: independent branch evolution",
      "value": 1.086037387916248e-15,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "upper_component_only: local continuity",
      "value": 3.920475055707584e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "upper_component_only: pointwise abs(j)<=rho",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "upper_component_only: Heisenberg velocity",
      "value": 4.996003610813204e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "upper_component_only: Heisenberg position with wrap control",
      "value": 1.7763568394002505e-15,
      "absolute_tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "upper_component_only: dephased mixture norm, current bound and constant drift",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "upper-component-only is not positive energy",
      "passed": true,
      "evidence": {
        "negative_sector_weight": 0.12671267029786357
      }
    },
    {
      "name": "coherent_mixed,t=0: position diagnostics controlled",
      "passed": true,
      "evidence": 1.9859345228928972e-32
    },
    {
      "name": "coherent_mixed,t=0.3: position diagnostics controlled",
      "passed": true,
      "evidence": 2.1376742580934484e-32
    },
    {
      "name": "coherent_mixed,t=2: position diagnostics controlled",
      "passed": true,
      "evidence": 3.234179355008827e-32
    },
    {
      "name": "coherent_mixed,t=7: position diagnostics controlled",
      "passed": true,
      "evidence": 7.563805226953313e-32
    },
    {
      "name": "coherent_mixed,t=24: position diagnostics controlled",
      "passed": true,
      "evidence": 3.059447415999689e-30
    },
    {
      "name": "coherent_mixed: norm and energy conservation",
      "value": 4.440892098500626e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "coherent_mixed: fixed sector populations",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "coherent_mixed: independent branch evolution",
      "value": 1.1026949908817046e-15,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "coherent_mixed: local continuity",
      "value": 1.0408340855860843e-15,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "coherent_mixed: pointwise abs(j)<=rho",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "coherent_mixed: Heisenberg velocity",
      "value": 1.1102230246251565e-15,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "coherent_mixed: Heisenberg position with wrap control",
      "value": 3.552713678800501e-15,
      "absolute_tolerance": 2e-09,
      "passed": true
    },
    {
      "name": "coherent_mixed: dephased mixture norm, current bound and constant drift",
      "value": 6.661338147750939e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "rest internal velocity cos(2mt),t=0",
      "value": -2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal displacement matrix,t=0",
      "value": 0.0,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal velocity cos(2mt),t=0.2",
      "value": -2.220446049250313e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal displacement matrix,t=0.2",
      "value": -5.551115123125783e-17,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal velocity cos(2mt),t=0.7",
      "value": -2.7755575615628914e-17,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal displacement matrix,t=0.7",
      "value": -1.1102230246251565e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal velocity cos(2mt),t=2.1",
      "value": 5.551115123125783e-17,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "rest internal displacement matrix,t=2.1",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "positive_only: refined cutoff error",
      "value": 6.076955931075952e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "positive_only: cutoff refinement detects unresolved coarse grid",
      "passed": true,
      "evidence": [
        0.08420917091860092,
        6.157754366226603e-10,
        5.96244723496681e-16,
        6.053783319812035e-16,
        6.076955931075952e-16
      ]
    },
    {
      "name": "positive_only: small-box position not mislabelled as line position",
      "passed": true,
      "evidence": 0.5432716301438543
    },
    {
      "name": "positive_only: refined box error",
      "value": 6.307814609450051e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "positive_only: box refinement detects finite-box effects",
      "passed": true,
      "evidence": [
        0.014489145524943141,
        2.3282046747145737e-15,
        9.913778987698863e-16,
        6.307814609450051e-16
      ]
    },
    {
      "name": "coherent_mixed: refined cutoff error",
      "value": 4.634519032708569e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "coherent_mixed: cutoff refinement detects unresolved coarse grid",
      "passed": true,
      "evidence": [
        0.08907976664441503,
        6.164683835083348e-10,
        4.524877294876747e-16,
        4.2942521239459757e-16,
        4.634519032708569e-16
      ]
    },
    {
      "name": "coherent_mixed: small-box position not mislabelled as line position",
      "passed": true,
      "evidence": 4.512428671890135
    },
    {
      "name": "coherent_mixed: refined box error",
      "value": 7.708079796089766e-16,
      "absolute_tolerance": 2e-11,
      "passed": true
    },
    {
      "name": "coherent_mixed: box refinement detects finite-box effects",
      "passed": true,
      "evidence": [
        0.41742567544188774,
        2.630819401165332e-15,
        1.1384033476782174e-15,
        7.708079796089766e-16
      ]
    },
    {
      "name": "time-difference Dirac residual is quadratic",
      "passed": true,
      "evidence": [
        3.9978569189408604,
        3.9994641096358348,
        3.9998660177582113
      ]
    },
    {
      "name": "finest time-difference residual",
      "value": 3.4069771429170775e-05,
      "absolute_tolerance": 5e-05,
      "passed": true
    },
    {
      "name": "width=2.0,t=0: spectral coherence versus real-space current",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=2.0,t=0: controlled packet Heisenberg centroid",
      "value": 2.2204460492503126e-16,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=2.0,t=0: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=2.0,t=2: spectral coherence versus real-space current",
      "value": -1.1102230246251565e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=2.0,t=2: controlled packet Heisenberg centroid",
      "value": 3.3306690738754696e-16,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=2.0,t=2: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=2.0,t=24: spectral coherence versus real-space current",
      "value": -1.3877787807814457e-17,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=2.0,t=24: controlled packet Heisenberg centroid",
      "value": 1.1102230246251565e-15,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=2.0,t=24: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=2.0,t=64: spectral coherence versus real-space current",
      "value": 0.0,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=2.0,t=64: controlled packet Heisenberg centroid",
      "value": 2.220446049250313e-15,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=2.0,t=64: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=2.0,t=128: spectral coherence versus real-space current",
      "value": 8.326672684688674e-17,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=2.0,t=128: controlled packet Heisenberg centroid",
      "value": 4.440892098500626e-15,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=2.0,t=128: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=8.0,t=0: spectral coherence versus real-space current",
      "value": 2.220446049250313e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=8.0,t=0: controlled packet Heisenberg centroid",
      "value": 1.3322676295501877e-15,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=8.0,t=0: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=8.0,t=2: spectral coherence versus real-space current",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=8.0,t=2: controlled packet Heisenberg centroid",
      "value": 7.216449660063518e-16,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=8.0,t=2: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=8.0,t=24: spectral coherence versus real-space current",
      "value": 0.0,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=8.0,t=24: controlled packet Heisenberg centroid",
      "value": 1.9984014443252818e-15,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=8.0,t=24: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=8.0,t=64: spectral coherence versus real-space current",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=8.0,t=64: controlled packet Heisenberg centroid",
      "value": 1.1102230246251565e-15,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=8.0,t=64: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "width=8.0,t=128: spectral coherence versus real-space current",
      "value": 1.1102230246251565e-16,
      "absolute_tolerance": 2e-13,
      "passed": true
    },
    {
      "name": "width=8.0,t=128: controlled packet Heisenberg centroid",
      "value": 3.7470027081099033e-16,
      "absolute_tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "width=8.0,t=128: line-position guard",
      "passed": true,
      "evidence": null
    },
    {
      "name": "broader momentum packet dephases earlier",
      "passed": true,
      "evidence": {
        "2.0": 0.26382367397152623,
        "8.0": 0.843120821649613
      }
    }
  ],
  "output_files": {
    "profiles": "/data/relativistic-qm/dirac-wave-packets/profiles.csv",
    "diagnostics": "/data/relativistic-qm/dirac-wave-packets/diagnostics.csv",
    "refinement": "/data/relativistic-qm/dirac-wave-packets/refinement.csv",
    "dephasing": "/data/relativistic-qm/dirac-wave-packets/dephasing.csv",
    "summary": "/data/relativistic-qm/dirac-wave-packets/summary.json"
  },
  "output_sha256": {
    "profiles": "70f70e95645d9d3b931a4e889853604e62e14a47c6592665627d815cf5c2a542",
    "diagnostics": "325578da1ca4c7f62e543819c9e80b518ac935d019dae1e1ce712baabec76fe1",
    "refinement": "e3d1266dee555734861c03364e2e58b77f7e39bace2a1831399570b1aac1fa10",
    "dephasing": "274eb325e2c67f230a1bf4e3049c0b421c89061d9ba5d7d9b107ae203f3c196c"
  },
  "publication": {
    "normalization": "Absolute output locations replaced by site download paths; numerical results and CSV bytes unchanged.",
    "source_run_report_sha256": "baae0db2f6a62577885eda974406ce74e82e096dc50d3a2fa2786a876d842bd7",
    "public_program_sha256": "a015ba7b2533066dba569d51e109d4c085e875d29a8d2128d86449a6debb063b"
  }
}