Hydrogen energy levels
The hydrogen bound-state energies E_n = -alpha_em^2 m_e c^2 / (2n^2) = -13.6 eV/n^2 for n = 1,2,3,... are eigenvalues of the B-sector Hamiltonian restricted to the proton-electron system, with both alpha_em and m_e determined by iota_tau, yielding ground-state energy E_1 ~ -13.60
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: IV.T85
- Type: theorem
- Scope: tau-effective
- Lean status: formalized
- Book / part / chapter: Book IV · Part 6 · Chapter 47
Result summary
The hydrogen bound-state energies E_n = -alpha_em^2 m_e c^2 / (2n^2) = -13.6 eV/n^2 for n = 1,2,3,… are eigenvalues of the B-sector Hamiltonian restricted to the proton-electron system, with both alpha_em and m_e determined by iota_tau, yielding ground-state energy E_1 ~ -13.606 eV.
Related Results surfaces
- No existing public Results surface is linked yet; this record is promoted as a standalone Registry-backed result.
Reading role
Read as a standalone Registry-backed noteworthy result.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- physics-facing terms: alpha, electron, energy, proton
- result-facing terms: bound
- theorem/proposition-class item appears externally legible enough for standalone review
Review notes
- No additional review notes recorded.