{
  "schema": "classical-reconstruction-boyer-hydrogen-audit/v1",
  "status": "GROUND_ACTION_BALANCE_DERIVED_EXCITED_SELECTION_PARTIAL",
  "source": {
    "title": "Relativistic hydrogen in classical electrodynamics with classical zero-point radiation",
    "arxiv": "2603.13448",
    "retrieved_source_sha256": "d05b076cdc904cf43a71cc4aa92d9557016e96fbfee48a777321e05c34098e57",
    "review_status": "2026 arXiv preprint; not treated as peer-reviewed confirmation",
    "markers_verified": {
      "ground_balance_equation": true,
      "excited_action_sequence": true,
      "ground_stability_expectation": true,
      "zero_point_scale": true
    }
  },
  "ground_state": {
    "mechanism": "mode-by-mode classical radiation gain/loss balance for a relativistic circular Coulomb orbit driven by Lorentz-invariant classical zero-point radiation",
    "derived_condition": "J_phi = J_rad = hbar",
    "zero_point_input": "U_zp(omega)=0.5*hbar*omega; hbar enters through the empirically scaled zero-point field rather than being generated from parameter-free mechanics",
    "electron_mass_binding_eV": 13.605874258029493,
    "reduced_mass_extension_binding_eV": 13.59846830072672
  },
  "excited_state_audit": {
    "source_step": "J_e,n = n J_e,1 is introduced before the repeated-sweep resonance argument",
    "credit": "resonance argument supplies a physical power-balance rationale for integer-related excited circular states",
    "unearned": "no demonstrated dynamical stability/attractor calculation showing arbitrary initial actions flow only to integer n*hbar states",
    "classification": "PARTIAL_SELECTION_ARGUMENT"
  },
  "balmer_integer_action_test": {
    "electron_mass_rmse_cm-1": 6.080279723811558,
    "reduced_mass_extension_rmse_cm-1": 6.760035594275746,
    "rows": [
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        "n": 3,
        "observed_cm-1": 15237.42188916604,
        "sigma_cm-1": 0.06965370774853091,
        "electron_mass_model_cm-1": 15241.367116227986,
        "electron_mass_z": 56.64058941685058,
        "reduced_mass_extension_cm-1": 15233.070926511837,
        "reduced_mass_z": -62.465628820676535
      },
      {
        "n": 4,
        "observed_cm-1": 20570.41768233104,
        "sigma_cm-1": 0.21157104181277878,
        "electron_mass_model_cm-1": 20575.832290808154,
        "electron_mass_z": 25.592389349314722,
        "reduced_mass_extension_cm-1": 20564.63244193958,
        "reduced_mass_z": -27.3441976836393
      },
      {
        "n": 5,
        "observed_cm-1": 23038.9690337825,
        "sigma_cm-1": 0.03184764564837534,
        "electron_mass_model_cm-1": 23044.925263178957,
        "electron_mass_z": 187.0225969673618,
        "reduced_mass_extension_cm-1": 23032.381436203337,
        "reduced_mass_z": -206.84723925582222
      },
      {
        "n": 6,
        "observed_cm-1": 24379.932974688265,
        "sigma_cm-1": 0.035662867911017526,
        "electron_mass_model_cm-1": 24386.160331467992,
        "electron_mass_z": 174.6173862198997,
        "reduced_mass_extension_cm-1": 24372.886442648472,
        "reduced_mass_z": -197.58736334313667
      },
      {
        "n": 7,
        "observed_cm-1": 25188.441024413896,
        "sigma_cm-1": 0.03806745367442261,
        "electron_mass_model_cm-1": 25194.882564438743,
        "electron_mass_z": 169.21384025155453,
        "reduced_mass_extension_cm-1": 25181.16847146817,
        "reduced_mass_z": -191.04385094750677
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      {
        "n": 8,
        "observed_cm-1": 25713.127888869916,
        "sigma_cm-1": 0.03966989674976278,
        "electron_mass_model_cm-1": 25719.774313893133,
        "electron_mass_z": 167.54329019664826,
        "reduced_mass_extension_cm-1": 25705.77451154355,
        "reduced_mass_z": -185.36416600101543
      },
      {
        "n": 9,
        "observed_cm-1": 26072.920221817978,
        "sigma_cm-1": 0.04078783013359708,
        "electron_mass_model_cm-1": 26079.63832997812,
        "electron_mass_z": 164.70864319422077,
        "reduced_mass_extension_cm-1": 26065.442646240295,
        "reduced_mass_z": -183.3285946614606
      },
      {
        "n": 10,
        "observed_cm-1": 26330.27805563535,
        "sigma_cm-1": 0.041597012549224335,
        "electron_mass_model_cm-1": 26337.04692472923,
        "electron_mass_z": 162.7248852515838,
        "reduced_mass_extension_cm-1": 26322.711128197043,
        "reduced_mass_z": -181.91035784968352
      }
    ]
  },
  "unpaid_physics": [
    "Stochastic ground-state stability against the published SED self-ionization problem is not established by an average power-balance equality.",
    "The complete excited integer sequence is not independently selected by a demonstrated dynamical attractor calculation.",
    "The reduced-mass correction used for the comparison is a separately labelled two-body extension, not the single-particle derivation audited here.",
    "Fine structure, anomalous Zeeman structure, selection rules, strengths, linewidths and lifetimes remain separate tests."
  ],
  "interpretation": "This preprint materially improves the v0.7 phase-closure toy by deriving the ground circular action scale from an explicit classical radiation balance. It does not yet establish a stable classical hydrogen atom or dynamically derive the entire discrete spectrum."
}