{
  "figure": "null-gauss-comparison",
  "original": true,
  "geometry": "Lorentz G=c²dt²-|dx|²; q=0",
  "panels": [
    {
      "type": "spatial meridian projection, not induced metric",
      "r": "exp(epsilon*(3*omega3²-1)/2)",
      "time": "-r/c",
      "epsilon": [
        0,
        0.16666666666666666,
        0.3333333333333333,
        0.5
      ]
    },
    {
      "type": "exact analytic density",
      "ordinate": "K*r²=1+6epsilon*P2(z)",
      "abscissa": "z=omega3"
    },
    {
      "type": "exact two-dimensional ambient slice",
      "epsilon": "1/3",
      "omega": [
        1,
        0,
        0
      ],
      "r": "exp(-1/6)",
      "line": "(ct,x1)=(-r-R/(4r),r-R/(4r))",
      "Q": "(ct,x1)=(-r,r)",
      "theta_focus": {
        "R": "-4r²",
        "ct": "0",
        "x1": "2r"
      },
      "phi_focus": {
        "R": "+4r²",
        "ct": "-2r",
        "x1": "0"
      }
    }
  ],
  "proof_locators": [
    "manuscript.md M2–M5,M7",
    "learner eq(11),(16),(23)"
  ],
  "human_source": "Riesz1949 §68 pp138–141; exact Gaussian comparison derived here",
  "Blender": "Not used: exact planar projections, a scalar plot and a null-line diagram are clearest as vector scientific plots."
}