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experiment_keyactual-spatial-second-order-moving-contact
created_utc2026-10-11T16:52:06.127260+00:00
classificationconditional full finite-inertia count-projector and collective-source comparison
condition_count38
evaluation_count1002
View complete data
{
  "experiment_key": "actual-spatial-second-order-moving-contact",
  "created_utc": "2026-10-11T16:52:06.127260+00:00",
  "sources": {
    "experiments/second-order-contact-checks.py": "9793769209672a30afe20b37a735a92f4fc9d30972333c0bd0096fe020fec46f",
    "experiments/moving-contact-checks.py": "561e2eb234cde8e7a79ee72277151eda20a7e94a9e5abf720767858b9958563b"
  },
  "classification": "conditional full finite-inertia count-projector and collective-source comparison",
  "assumptions": [
    "same positive sphere-band spatial evaluation kernel and actual rotation weights",
    "inverse restoring square lambda^2(4I-3P), lambda=mu_d S_N is stipulated",
    "positive complex second-order canonical kinetic action with both oscillator branches",
    "bare spatial Dirac dispersion is not included in this isolated inverse-restoring control",
    "source path is a prescribed great circle or a new positive reciprocal collective rotor",
    "comparison source inertia I mu_d=1, never inferred as observed particle inertia"
  ],
  "limits": [
    "finite scans are not an exhaustive stability chart",
    "a growing internal mode is not an established outgoing decay channel or observed lifetime",
    "electron persistence is assessed separately; short-lived particles need not be infinitely stable",
    "no local master source, selected indices, full spatial support or relativistic particle is derived",
    "no special depth-five selection or new favorable sector-assignment evidence"
  ],
  "condition_count": 38,
  "evaluation_count": 1002,
  "conditions": {
    "positive rotating energy threshold lies between universal bounds": 25,
    "secular energy threshold matches complete stiffness matrix": 25,
    "bright frequency solves complete quadratic pencil": 131,
    "second-order rotating energy retains signed phase and rotation charges": 131,
    "continued slow bright branch has positive signed phase charge": 131,
    "finite-inertia second-order shift reuses the spatial metric": 13,
    "slow bright linear shift is the geometric rotation mean": 13,
    "field energy per signed charge retains the opposite quadratic shift": 13,
    "maintained state is spectrally stable whenever rotating energy is positive": 40,
    "relative-equilibrium augmented field form has its exact bright zero mode": 39,
    "continued relative equilibrium minimizes complete augmented energy transverse to symmetry": 36,
    "complete autonomous augmented energy is the sum of rotor momentum and field forms": 39,
    "relative-equilibrium action normalizer is its signed phase charge": 39,
    "continued branch has a positive diagonal secular factor at every retained rotation": 39,
    "all sampled positive-energy spectra retain both real frequency branches": 140,
    "complete opposite-polarization frequency spectra are exact mirrors": 14,
    "ground clock is unchanged by any source angle speed": 1,
    "ground field energy per positive charge equals its clock": 1,
    "first-cutoff positive energy threshold has the exact common formula": 6,
    "all depths have a resolved stable/unstable control bracket": 6,
    "instability onset solves secular equation and its frequency derivative": 6,
    "independent double-root onset agrees with spectral bisection": 6,
    "colliding frequency branches have zero limiting signed phase charge": 6,
    "loss of positive rotating energy precedes this instability onset": 6,
    "direct growth test uses a resolved unstable frequency": 6,
    "direct second-order moving-source integration completed": 6,
    "direct laboratory growth agrees with complete quadratic pencil": 6,
    "unstable mode energy grows at twice its amplitude growth rate": 6,
    "prescribed source work accounts for the growing field energy": 6,
    "autonomous second-order source integration completed": 8,
    "complete second-order field/source energy conserved": 8,
    "signed phase charge is conserved with both oscillator branches": 8,
    "complete second-order source/field rotation charge conserved": 8,
    "configuration norm is not substituted for the signed phase charge": 8,
    "second-order source backreaction is retained": 8,
    "full convective second-order kinetic action rotates without omitted terms": 6,
    "convective source momentum shift retains positive complete Hamiltonian": 6,
    "inverse bright frequency square remains one in the full convective action": 6
  },
  "maximum_errors": {
    "secular energy threshold matches complete stiffness matrix": 1.2760039501024117e-13,
    "bright frequency solves complete quadratic pencil": 9.992007221626409e-16,
    "second-order rotating energy retains signed phase and rotation charges": 4.4401522322198536e-16,
    "finite-inertia second-order shift reuses the spatial metric": 1.2137263024160911e-08,
    "slow bright linear shift is the geometric rotation mean": 2.430559913335628e-07,
    "field energy per signed charge retains the opposite quadratic shift": 1.0976777777673674e-08,
    "relative-equilibrium augmented field form has its exact bright zero mode": 4.440892098500626e-15,
    "complete autonomous augmented energy is the sum of rotor momentum and field forms": 4.023950602753842e-16,
    "relative-equilibrium action normalizer is its signed phase charge": 3.3306690738754696e-16,
    "complete opposite-polarization frequency spectra are exact mirrors": 1.389588527364127e-17,
    "ground clock is unchanged by any source angle speed": 0.0,
    "ground field energy per positive charge equals its clock": 0.0,
    "first-cutoff positive energy threshold has the exact common formula": 2.94218004122774e-14,
    "instability onset solves secular equation and its frequency derivative": 4.579669976578771e-16,
    "colliding frequency branches have zero limiting signed phase charge": 1.6653345369377348e-15,
    "direct laboratory growth agrees with complete quadratic pencil": 6.117422164401786e-11,
    "unstable mode energy grows at twice its amplitude growth rate": 7.677362059149621e-11,
    "prescribed source work accounts for the growing field energy": 5.942307378393708e-11,
    "complete second-order field/source energy conserved": 1.418055084809925e-10,
    "signed phase charge is conserved with both oscillator branches": 1.4124035274676316e-10,
    "complete second-order source/field rotation charge conserved": 1.556676225535859e-10,
    "full convective second-order kinetic action rotates without omitted terms": 8.881784197001252e-16,
    "convective source momentum shift retains positive complete Hamiltonian": 1.2962518199075427e-16,
    "inverse bright frequency square remains one in the full convective action": 4.440892098500626e-16
  },
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