This repository contains the source of the paper
The Lamb Shift and the Schwinger Effect as Projective Resolution and Flux Saturation
(Cosmochrony paper F on precision QED phenomena).

Overview

This work develops a structural interpretation of two cornerstone predictions of quantum electrodynamics:

• the Lamb shift in atomic systems,
• electron–positron pair production in ultra-strong electric fields (the Schwinger effect).

Rather than attributing these effects to fluctuations of a physically populated vacuum, the analysis interprets them as consequences of intrinsic limitations of effective description:

• finite spectral resolution in localized states,
• bounded transport capacity under extreme fields.

The approach is explicitly effective and does not introduce new particles, new fields, or modified dynamical equations.

Core Thesis

1. Finite spectral resolution
   The Lamb shift arises from the impossibility of resolving arbitrarily fine spectral structure under projection. Renormalization is reinterpreted as compensation for unresolved relational structure, rather than as a correction due to vacuum fluctuations.

2. Bounded flux saturation
   The Schwinger effect corresponds to saturation of effective transport capacity under strong electric fields. Pair production is interpreted as structural reconfiguration when the effective flux bound is reached.

3. Unified control parameter
   The fine-structure constant governs both regimes, linking weak-field precision corrections and strong-field saturation within a single structural framework.

Relation to Standard QED

The framework preserves all established quantitative predictions of quantum electrodynamics:

• renormalized couplings remain unchanged,
• field equations are unmodified,
• experimentally tested results are fully recovered.

No deviations are introduced in currently accessible regimes.

The proposal is interpretative rather than dynamical.

Conceptual Position

At the structural level:

• observables arise from projection of an underlying relational configuration,
• the projection is generally non-injective,
• effective descriptions possess finite resolving capacity.

Saturation and spectral corrections are interpreted as limitations of effective description rather than as microscopic vacuum dynamics.

Scope and Limitations

This work:

• provides a unified structural interpretation of Lamb and Schwinger phenomena,
• does not modify QED dynamics,
• does not introduce new degrees of freedom,
• does not predict deviations at currently tested precision levels.

It addresses conceptual structure, not new measurable effects.

Repository Structure

paper/
├── pdf/ # Compiled paper PDF
├── tex/ # LaTeX sources
└── README.md

Links

• 📄 Zenodo record: https://doi.org/10.5281/zenodo.18602702
• 💻 GitHub organization: https://github.com/Cosmochrony

Citation

If you reference this work, please cite:

J. Beau,
The Lamb Shift and the Schwinger Effect as Projective Resolution and Flux Saturation,
Zenodo, 2026.

Acknowledgements

Portions of the editorial refinement benefited from interactions with large language models used as analytical assistants. All theoretical results and interpretations remain the sole responsibility of the author.

Contributions

This repository is intended as a research reference.

Critical feedback and independent analysis are welcome. Please open an issue for discussion.