1. Aspden's values (N = 1843) versus CODATA 2022
   1/alpha                      137.0359148472  measured      137.035999177   -0.6154 ppm  (-4.02e+3 sigma)
   mp/me                        1836.152316484  measured     1836.152673426   -0.1944 ppm  (-1.12e+4 sigma)
   Rydberg energy hcR (eV)      13.60570986838  measured     13.60569312299     1.231 ppm  (1.12e+6 sigma)

2. Shift per step if N falls with energy or temperature (relative change)
   N 1843 -> 1842: d(alpha)/alpha = -90.45 ppm, d(mu)/mu = 723.9 ppm, d(R)/R = -180.9 ppm, line shift 72.31 km/s (N^4/9) or 18.08 km/s (N^1/9)
   N 1843 -> 1841: d(alpha)/alpha = -180.9 ppm, d(mu)/mu = 1449.0 ppm, d(R)/R = -361.9 ppm, line shift 144.6 km/s (N^4/9) or 36.17 km/s (N^1/9)

3. One step (N 1843 -> 1842) against measurements in hot or distant environments
   White dwarf GD133, H2 at 11,800 K, mu        predicted    723.9 ppm   measured  -27.0 +/- 47.0 ppm   -> 16.0 sigma
   White dwarf G29-38, H2 at 14,500 K, mu       predicted    723.9 ppm   measured  -58.0 +/- 38.0 ppm   -> 20.6 sigma
   White dwarf G191-B2B, Fe V, alpha            predicted   -90.45 ppm   measured   42.0 +/- 16.0 ppm   -> 8.28 sigma
   White dwarf G191-B2B, Ni V, alpha            predicted   -90.45 ppm   measured  -61.0 +/- 58.0 ppm   -> 0.508 sigma
   Quasar absorber z = 0.89 (methanol), mu      predicted    723.9 ppm   measured   -0.1 +/- 0.13 ppm   -> 5.65e+3 sigma
   Quasar absorber z = 1.15 (ESPRESSO), alpha   predicted   -90.45 ppm   measured    1.3 +/-  1.4 ppm   -> 67.5 sigma
   Sun, 5,800 K photosphere, line shift (N^4/9): predicted 72307.0 m/s, residual measured 4.9 +/- 6.0 m/s -> 1.205e+4 sigma
   Sun, 5,800 K photosphere, line shift (N^1/9): predicted 18078.0 m/s, residual measured 4.9 +/- 6.0 m/s -> 3012.0 sigma

4. Aspden's 1983 explanation of the mp/me residual: proton and electron charges differ by 1.07e-7
   Measured neutrality of matter: |q_p + q_e|/e = (-0.1 +/- 1.1) x 10^-21  ->  excluded by a factor of about 10^14

5. Mercury: perihelion advance from the Sun's measured oblateness, J2 = (2.4 +/- 0.2) x 10^-7
   J2 contribution = 0.0305 arcsec/century, against the 42.98 arcsec/century relativistic term

6. A numerical lead: simple alpha-power corrections to the mp/me residual (not motivated by the theory)
   needed correction 1.94397e-7; best of 60 candidates: 1/2 x alpha^3 = 1.94297e-7 (0.0514% off)
   mp/me x (1 + 1/2 x alpha^3) = 1836.152673243 vs 1836.152673426: -0.0999 ppb (-5.73 sigma)
   chance that the best of 60 such candidates lands this close: 0.0032
