Correct hydrogen normalization and certify phase-space rectification

[xJoepec]

• add physical Bohr units with m = hbar = e = a0 = omega_B = 1, c = 1/alpha, and tau = beta^2
• evaluate both sides of Puthoff's circular-orbit harmonic power balance and expose its action condition without claiming nonlinear stability
• independently integrate Nieuwenhuizen's improper threshold integral and make the conditional near-ionization drift the O5 Coulomb oracle
• implement Setterfield's speculative static co-scaling and verify full mapped-band trajectory conjugacy at U=1 and U=4
• reclassify the v0.1.0 escape run as an accelerated numerical stress fixture, remove the permanent stable-hydrogen xfail, and update all claim/provenance documentation
• release the corrected API and Rust crate as 0.2.0

Why

The v0.1.0 Coulomb fixture uses dimensionless damping 13,367.7x the physical Bohr-unit value and crosses sustained positive mechanical energy after 0.06956 orbit. It is therefore an accelerated stress failure, not a reproduction of physical long-time hydrogen self-ionization.

Verification

• BC_FAIL_ON_SKIP=1 python -m pytest -rs: 112 passed, 11 deselected, 2 xfailed
• sh scripts/build_rust.sh && BC_FAIL_ON_SKIP=1 python -m pytest -m rust -rs: 4 passed, 121 deselected
• BC_FAIL_ON_SKIP=1 python -m pytest -m jax -rs: 4 passed, 121 deselected
• all four examples, including the new rectification certificate example
• clean 0.2.0 wheel install/import from a neutral directory
• Bohr identities <1e-12, Puthoff residual <1e-12, threshold absolute error 9.48e-13, Setterfield conjugacy <1e-9
• no certificate rule weakened, check silenced, or failure converted to a skip

Claim boundary

Puthoff is represented only at circular harmonic order. Nieuwenhuizen rectification is conditional energy-space drift, not equilibrium energy extraction. Setterfield is a speculative hypothesis map. Published long simulations remain negative evidence, but this repository does not claim to reproduce their physical timescales.

Primary grounding: Puthoff, Phys. Rev. D 35, 3266 (1987); Nieuwenhuizen, Entropy 18, 135 (2016), arXiv:1611.10200; Nieuwenhuizen & Liska, Found. Phys. 45, 1190 (2015); Nieuwenhuizen, Front. Phys. 8, 335 (2020).