Quantum Electrodynamics Without Renormalization: A Record-Scale Ultraviolet Completion
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| _version_ | 1866901737397288960 |
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| author | Kirk, Harold D. |
| author_facet | Kirk, Harold D. |
| contents | <p>Standard quantum electrodynamics (QED) produces ultraviolet divergences because loop integrals sum over electromagnetic field modes at arbitrarily small wavelengths. Renormalization removes these infinities through systematic subtraction, yielding extremely accurate predictions but leaving unresolved questions about their physical origin.</p> <p><strong>This paper proposes that the divergences arise from assigning discreteness to the wrong physical object.</strong> In the Future Contraction Postulate (FCP) framework, the electromagnetic field is continuous while discreteness belongs to irreversible recording events that generate time. Because each recording event has a minimum temporal cost</p> <p>Δt = −kₜ Δ ln Ω,</p> <p>there exists a fundamental recording scale</p> <p>tᵣₑc = π tₚ,</p> <p>which implies a physical ultraviolet completion of QED at</p> <p>Λᵣₑc = ℏ / (c tᵣₑc) = Mₚ / π ≈ 3.9 × 10¹⁸ GeV.</p> <p>Evaluating the one-loop vacuum polarization with this recording-scale regulator yields finite expressions without renormalization subtraction while reproducing the observed running of the fine-structure constant α(μ). The framework predicts a finite electromagnetic coupling at the recording scale,</p> <p>α(Λᵣₑc) ≈ 0.0162 (α⁻¹ ≈ 61.75).</p> <p>Remarkably, this value lies within ~4% of an independently derived gravitational-sector coupling</p> <p>ε = 1/(6π²) ≈ 0.0169.</p> <p>The near equality of these two couplings suggests that electromagnetic and gravitational interactions may represent different low-energy regimes of a single recording-scale interaction. More broadly, the work proposes that ultraviolet divergences arise from quantizing fields rather than the record-forming processes that generate physical time.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18927974 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Quantum Electrodynamics Without Renormalization: A Record-Scale Ultraviolet Completion Kirk, Harold D. quantum electrodynamics ultraviolet completion renormalization fine-structure constant quantum field theory future contraction postulate emergent time record formation Planck scale physics asymptotic safety quantum gravity interface emergence as regime formation <p>Standard quantum electrodynamics (QED) produces ultraviolet divergences because loop integrals sum over electromagnetic field modes at arbitrarily small wavelengths. Renormalization removes these infinities through systematic subtraction, yielding extremely accurate predictions but leaving unresolved questions about their physical origin.</p> <p><strong>This paper proposes that the divergences arise from assigning discreteness to the wrong physical object.</strong> In the Future Contraction Postulate (FCP) framework, the electromagnetic field is continuous while discreteness belongs to irreversible recording events that generate time. Because each recording event has a minimum temporal cost</p> <p>Δt = −kₜ Δ ln Ω,</p> <p>there exists a fundamental recording scale</p> <p>tᵣₑc = π tₚ,</p> <p>which implies a physical ultraviolet completion of QED at</p> <p>Λᵣₑc = ℏ / (c tᵣₑc) = Mₚ / π ≈ 3.9 × 10¹⁸ GeV.</p> <p>Evaluating the one-loop vacuum polarization with this recording-scale regulator yields finite expressions without renormalization subtraction while reproducing the observed running of the fine-structure constant α(μ). The framework predicts a finite electromagnetic coupling at the recording scale,</p> <p>α(Λᵣₑc) ≈ 0.0162 (α⁻¹ ≈ 61.75).</p> <p>Remarkably, this value lies within ~4% of an independently derived gravitational-sector coupling</p> <p>ε = 1/(6π²) ≈ 0.0169.</p> <p>The near equality of these two couplings suggests that electromagnetic and gravitational interactions may represent different low-energy regimes of a single recording-scale interaction. More broadly, the work proposes that ultraviolet divergences arise from quantizing fields rather than the record-forming processes that generate physical time.</p> |
| title | Quantum Electrodynamics Without Renormalization: A Record-Scale Ultraviolet Completion |
| topic | quantum electrodynamics ultraviolet completion renormalization fine-structure constant quantum field theory future contraction postulate emergent time record formation Planck scale physics asymptotic safety quantum gravity interface emergence as regime formation |
| url | https://doi.org/10.5281/zenodo.18927974 |