Author the author, at the stated direct request. Each calculation ran under 10 minutes. Scripts and outputs in this directory: static_tests.py/.json, dynamic_tests.py (zeeman.json, nuclei.json), zeeman_larmor.py/.json; dipole run in ../observer-coupling-20261109/dipole_orbit.py/.out. Model tested: the four-direction orbit model of lock_size.py / lock_photon.py (q in R^4, atomic units, proton charges 4/3 and 1/3, quark softening s times the free widths 0.01524 a0 and 0.00653 a0; the stored runs use s = 100, launch radius 1 a0). Measured values are recalled from memory unless a source is named; semiclassical correspondences (action quantization, first-order perturbation with hydrogen wavefunctions, oscillator strengths) are standard-physics comparisons, not IDWT derivations.

Main result

The atom-sized quark softening (s = 100) conflicts with four independent measurements; a nucleus softened by less than about 0.2 fm passes them, but then the model's lines at 1 a0 are at 27.2 eV and 31.5 eV, not hydrogen lines. The second model line (delta + beta, the w oscillation) fails the isotope, Zeeman and positronium checks at any quark size.

Item 1, cavity emission

Classical dipole near a perfect mirror, rate relative to free space, distance in wavelengths: parallel dipole 0.003 (0.01), 0.077 (0.05), 0.29 (0.1), 1.15 (0.25), 0.96 (0.5), 0.99 (1), 0.9996 (5); perpendicular 2.00, 1.96, 1.85, 1.30, 0.92, 0.98, 0.9992. c times the Lyman-alpha lifetime = 0.48 m. Reading: the surroundings change the escaping fraction within about one wavelength and leave the oscillator itself unchanged; this is the same classical antenna mathematics as the capture ratio. No prediction here separates a spanning structure with a travelling phase from the standard retarded field.

Item 2, muonic hydrogen

  • s = 100 model at r = 1 a0: angular momentum 0.156 hbar, energy -11.98 eV; the potential minimum is -12.34 eV (near 0.9 a0), so no state can be bound by hydrogen's measured 13.598 eV.
  • Circular orbit with L = hbar (electron): -6.79 eV (s = 100), -13.23 (10), -13.602 (1), -13.606 (0.1 and below).
  • A circular orbit at radius r exists only for s < 110.35 r/a0. Muonic Bohr radius a0/185.84: s < 0.594.
  • Muon, L = hbar binding: 12.3 eV (s = 100), 839 (1), 2325 (0.1), 2525.9 (0.01), 2528.5 (0.001); measured 2528.5 eV.
  • First-order 2S-2P shift from the softened core in muonic hydrogen: 0.89 meV (s = 1e-4), 6.75 (3e-4), 59.6 (1e-3), 410 (3e-3); the measured finite-size part is 3.69 meV, matched at s = 2.2e-4: softening radii 0.17 fm (up) and 0.075 fm (down), against 80,600 fm and 34,600 fm at s = 100.

Item 3, positronium and muonium

Central point attractor (no down term), tilt 10 degrees: planar orbit, delta = 0, one frequency. The second line and the precession exist only with the non-central down-quark term. Positronium and muonium have measured hydrogen-like spectra with no nucleus of that kind.

Item 4, quantum defects (semiclassical action, ordinary 3D plane)

delta(L = 0.5), delta(L = 1.5), difference, apsidal advance per radial period at L = 1, all at n = 2 (n = 3, 10 within 8 percent): s = 100: -0.574, -0.235, -0.339, -2.12 rad; s = 30: -0.207, -0.035, -0.171, -0.985; s = 10: -0.0615, -0.0043, -0.057, -0.231; s = 1: -1.16e-3, -4.4e-5, -1.12e-3, -2.8e-3; s = 0.1: -1.18e-5, -4.4e-7, -1.14e-5, -2.8e-5; scaling as s^2 below. Hydrogen's measured s-p level differences correspond to about 1e-6 to 1e-5; that needs s of 0.1 or less. Alkali defects are positive (sodium 1.35, 0.86, 0.015); a softened nucleus gives negative ones.

Item 5, isotopes

  • Measured R_D/R_H - 1 = 2.721e-4. Model exponent p = dln(Omega)/dln(mu) at fixed L: -0.84 (s = 100), 0.17 (30), 0.84 (10), 0.998 (1), 1.000 (0.1). At s = 100 the predicted shift has the wrong sign.
  • Deuteron charges (2, 1): at s = 100 and r = 1 a0 the net force in the ordinary plane is outward (-0.257); an orbit needs s < 59.7 r/a0.
  • Point-like quarks (s = 0.01), tilt 10 degrees, r = 1 a0: proton beta 0.0788, delta 1.0788, lines 0.99998 and 1.15758 Ha; deuteron beta 0.2108, delta 1.2108, lines 0.99996 and 1.42165 Ha. The first line agrees to 2e-5; the second differs by 23 percent. Measured hydrogen and deuterium lines differ by 0.027 percent.

Item 6, Zeeman

  • Stored reference (s = 100, tilt 10): the 0.1546669 line is the (x1, x2) motion; the 0.4693522 line is the w motion; x3 has none.
  • Field in the (1,2) plane with the Larmor-matched launch: the (x1, x2) line shifts by -0.997 w_L; the w line by +0.001 w_L. Rotations inside the ordinary three directions are symmetries of both potential terms, so Larmor's theorem holds exactly: normal Zeeman triplet for the first line, no Zeeman effect on the w line.
  • Field in the (1,3) plane: sidebands not resolved at this run length (resolution equals w_L); theorem applies.
  • Field in the (1,w) plane: shifts +0.040 w_L and +0.031 w_L, plus a cross line at 7e-4 of the power: no triplet.
  • First run series (fixed lab launch velocity) gave -0.27/+0.31 w_L for the first line; that mixes a launch change into the result and is superseded.

Item 7, emission rates

  • Lyman-alpha: A = 6.268e8 /s, f = 0.4162; equals a classical dipole of amplitude 1.49 a0 at the photon frequency; escaping fraction 2.54e-7 per photon cycle, 7.6e-7 per n = 2 orbit; 3.94e6 cycles or 1.31e6 orbits per escaped photon.
  • A classical electron oscillator loses (4 pi/3) alpha^3 omega = (8 pi^2/3) r_e/lambda per cycle (6.10e-7 at Lyman-alpha), independent of amplitude; r_e = 2.818 fm. Measured A = (oscillator strength) times that rate: 0.416 (2p-1s), 0.079 (3p-1s), 0.029 (4p-1s), 0.122 (3s-2p), 0.435 (3p-2s), 1.25 (3d-2p), 2.18 (4f-3d).
  • A/omega^3 relative to Lyman-alpha: 0.16, 0.056, 1.59, 5.6, 16.3, 0.99, 2.1, 80.8: a fixed size with an omega^3 rule fails by up to three orders of magnitude.
  • Oscillator strengths from 1s: 0.4162, 0.0791, 0.0290, 0.0139, 0.0078; discrete sum to n = 40: 0.5645; the full sum including the continuum is 1 (sum rule).
  • Upper-orbit periods per escaped Lyman photon: 1.31e6 (n = 2), 1.46e6 (3), 1.51e6 (4).

Item 8, harmonics

Classical Kepler ellipse, harmonics s = 1, 2, 3 averaged over eccentricity (e^2 uniform): f/n = 0.19077, 0.026332, 0.0081056. Asymptotic measured/quantum values (Menzel): 0.1908, 0.02633, 0.008106. Quantum at n = 10: 0.219, 0.0341, 0.0117. Ratio second to first: 0.138 classical, 0.156 at n = 10.

Dipole (spin-orbit) run on the s = 100 orbit

Sign fixed by conservation of q^p + S for a central potential (2e-12 for one sign, 0.54 for the other). Relative shifts at the physical coupling, tilt 10 / 30 / 60: moment in the (1,2) plane: beta -2.8e-6 / -1.9e-6 / -7.2e-7, delta +8.6e-7 / +9.4e-7 / +4.3e-7, ratio +3.7e-6 / +2.9e-6 / +1.2e-6; (1,w) plane: ratio -2.5e-7 / -5.5e-7; (1,3) plane: 1e-11 or less. Linear in the coupling up to 100 times. No locking of the ratio. The secular drift of the angular-momentum bivector was not recorded.

Addendum 1 (9 November 2026, after the stated review)

  • Binding energy: the fourth-direction attraction is included (the up term acts on the four-direction distance). Global minimum over (r3, w), depth_check.py: -12.342 eV at r3 = 0.905 a0, w = 0, for s = 100; depth = 1234.2/s eV exactly. Hydrogen's 13.598 eV therefore needs only s <= 90.8: s = 100 fails by about 10 percent. "No state can match" was true but the margin was not stated; this test alone is marginal.
  • Muonic hydrogen without wavefunctions: a photon emitted between two bound states cannot exceed the well depth. Measured muonic X-ray line 1898 eV needs s <= 0.65 (up softening <= 524 fm); series limit 2528 eV needs s <= 0.49 (394 fm). Mass-independent, no orbit rule. The 0.17 fm value used hydrogen-type wavefunctions and is withdrawn as evidence under the project's premises.
  • Level pattern (item 4): rests on the Bohr-Sommerfeld action rule, an imported quantization rule; the model has no rule of its own for orbit sizes. Weak evidence.
  • Deuterium (item 5): depends on the assumption that the deuteron's quark charges add as 2 (four directions) and 1 (three directions), and on reading delta + beta as a spectral line. No wavefunctions or orbit rule.
  • Item 3: positronium (electron + positron) and muonium (electron + antimuon) contain no quarks; the statement concerns those atoms.
  • Item 7: the measured quantity is the escaping rate (2.54e-7 per photon cycle for Lyman-alpha). The classical loss rate (4 pi/3) alpha^3 omega is three-dimensional linear radiation theory. The conclusion "about one internal exchange per cycle" applied that theory to the internal, never-detected exchange and is WITHDRAWN; the internal count is unknown. The escaping radiation's omega^3 law across lines is a measured three-dimensional behaviour of what escapes.

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