Hydrogen reference library

Identify the source and the claim

This library separates the supplied hydrogen working manuscripts, the author’s journal records, established atomic references and the detailed explanations elsewhere on SMONAD. A source can provide a definition, a mathematical argument, background data or a research target; the article using it identifies that role.

The seven supplied PDFs below are unchanged source copies. They retain their original titles, versions and wording. The website develops a continuous explanation and uses corrected equations where the editorial notes below identify an issue. Working manuscripts are labelled as drafts; their inclusion does not assign a publication status or certify every claim in the source.

For a website explanation, use the page’s citation controls. For an original result, cite the original paper and the relevant version or section. Primary external references were checked on 18 October 2026.

Temporal Reconstruction of Hydrogen I: Alpha-Free Proton–Electron Record Geometry

Mohamed Haj Yousef. Supplied working manuscript. June 2026 expanded Paper 11 draft. Defines the temporal-record programme and its open neutral-resonance, stability and correspondence targets. The theorem-target table on page 25 is a useful guide to its status.

Read the original PDF · 35 pages · 0.59 MB

Temporal Reconstruction of Hydrogen II: Derived Constants and the Bohr Spectrum

Mohamed Haj Yousef. Supplied working manuscript. June 2026 expanded Paper 12 draft. Pages 9–10 state the conditional Coulomb reconstruction and the remaining source-to-Hamiltonian obligation. The website develops the ground-state and spectrum calculations under those explicit assumptions.

Read the original PDF · 36 pages · 0.64 MB

Temporal Reconstruction of Hydrogen III: Fine Structure, Lamb Shift, and Radiative Inner-Time Loops

Mohamed Haj Yousef. Supplied working manuscript. June 2026 expanded Paper 13 draft. A programme for relativistic and radiative terms, including a coefficient-status ledger. For the finite-size term, the website uses the dimensionally consistent SI factor μ³c⁴r²/ℏ²; the supplied draft prints c² in equation 43.

Read the original PDF · 37 pages · 0.68 MB

Hydrogen as a Differential Test of the Holonomy Fraction

Mohamed Haj Yousef. Supplied working manuscript. June 2026 expanded Paper 14 draft. Develops candidate residual shapes and identifiability questions. The website consistently derives interval changes from shared level shifts: a 2S-to-nD interval retains any shift of the lower 2S level. A physical holonomy-to-energy map remains required.

Read the original PDF · 36 pages · 0.65 MB

Hydrogen as the Rosetta Stone of Projection Metrology

Mohamed Haj Yousef. Supplied working manuscript. Expanded self-contained version, 2026; supplied Paper 21 working draft. Organizes the connections between temporal structure, constants, units and atomic observables. Its opening status statement identifies the work as a synthesis and a programme of conditional results and theorem targets.

Read the original PDF · 42 pages · 0.65 MB

Canonical Complexification, Minimal Projection Sectors, and the Structural Integer 137

Mohamed Haj Yousef. Supplied working manuscript. May 2026 supplied v8 working draft. Sections 14–16 distinguish the structural count from the physical coupling and state the additional matching problem. Structural counts alone do not fix electromagnetic radiative corrections.

Read the original PDF · 48 pages · 0.68 MB

Dual-Time Projection Metrology and the Temporal Origin of Physical Constants

Mohamed Haj Yousef. Supplied working manuscript. 7 June 2026 publishing synthesis of Papers 1–24. Useful for the broader role of constants and the ordering of dependent calculations. It is included as a supplied working manuscript, with no journal-publication status inferred.

Read the original PDF · 66 pages · 0.79 MB

Related journal records

These papers are linked from the main SMONAD publication catalogue and provide background for the wider programme. Their specific published results should be read within their stated hypotheses. A result about phase selection or temporal asymmetry does not by itself derive the hydrogen Coulomb interaction.

• Mohamed Haj Yousef. Completion principles, real commutants, and positive-frequency geometry for orthogonal Hilbert representations. DOI: 10.30538/oms2026.0328. Website publication record.
• Mohamed Haj Yousef. Real-commutant phase selection from real Hilbert representations. DOI: 10.1016/j.physleta.2026.132085. Website publication record.
• Mohamed Haj Yousef. Dual-Time Topological Geometry and the Emergence of Temporal Asymmetry in Non-Equilibrium Dynamics. DOI: 10.3390/math14050853. Website publication record.

2022 CODATA fundamental physical constants

Reference numerical values and standard uncertainties for the constants used in the explorers. The tools identify these as external reference inputs; changing a slider creates an illustrative model setting.

• Complete constants table

Strong Lines of Hydrogen

A reference table that distinguishes ultraviolet vacuum wavelengths from optical air wavelengths and includes resolved components. Explorer wavelengths are vacuum values from the reduced-mass gross Coulomb model.

• Hydrogen line table

Hydrogen isotopes, energy levels and spectral data

Alexander Kramida’s critical compilation (2010) and the NIST handbook notes provide context for isotope labels, energy levels and resolved or unresolved components. DOI: 10.1016/j.adt.2010.05.001. Use a consistent convention when comparing any numerical interval.

• Critical compilation record
• Atomic data and isotope conventions

CODATA recommended values of the fundamental physical constants: 2022

A primary reference for the theory and adjustments used with precision atomic data, including radiative, recoil and nuclear contributions and correlations between fitted quantities. A classroom gross-model calculation does not include this precision theory.

• Full CODATA report at NIST

Quantum Physics III: hydrogen fine structure and time-dependent perturbation theory

MIT OpenCourseWare material on angular momentum, perturbation theory, spin and hydrogen. These are background references for established quantum calculations; they do not assert an SMM/DTT source derivation.

• Hydrogen fine structure
• Time-dependent perturbation theory
• Hydrogen Atom II

Continue through the existing website

• Research chapter: the hydrogen model — connected operator treatment, radial probabilities and the spectrum.
• From source response to a hydrogen-like atom — normalization and linked coefficients.
• Coulomb ground-state derivation — square completion, normalization and radial moments.
• Alpha and relative speed — RMS motion, current and finite constituent masses.
• Spectra and corrections — one consistent set of levels across several transitions.
• Matter and hydrogen lesson — an introductory route with exercises.
• Article atlas — browse the hydrogen and differential-spectroscopy articles.
• Books — the philosophical and physical background of the programme.

Editorial treatment of earlier arguments

The new website derivations use the declared Coulomb operator and correct reduced-mass relationships. Earlier tick-count drafts contained reciprocal-frequency and radius-scaling inconsistencies; those arguments have not been carried into the derivations here. In particular, a relation r³ proportional to n² cannot establish an n² radius law.

The finite-size expression uses energy units consistently, and the differential examples retain both endpoint shifts. The source-to-Coulomb correspondence, physical coupling correction and DTT radiative coefficients remain identified as research tasks. See research status for the precise scope of the current presentation.