Open Letter to Ole L. Trinhammer and Henrik G. Bohr: The Integer 4 in πr_p = 2λ_p

Trinhammer and Bohr (EPL 128, 21001, 2019) derived the proton charge radius from the topology of a wavefunction on the compact configuration space U(3): πrp = 2λp, with λp the full Compton wavelength. Written with the reduced Compton wavelength ƛp = λp/2π, the same relation reads rp = 4ƛp — an integer that does not appear in their paper. This letter acknowledges their priority, explains how the integer was found independently in a discrete-lattice model, and asks three questions about its meaning in their framework. Open letter. Background: §5.1 and Appendix A5.1 of Theory of Space, Volume 1. https://theoryof.space

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23352939
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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Open Letter to Ole L. Trinhammer and Henrik G. Bohr: The Integer 4 in πr_p = 2λ_p

Yevhenii Stakhov
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Open Letter to Ole L. Trinhammer and Henrik G. Bohr: The Integer 4 in πr_p = 2λ_p

Yevhenii Stakhov
article en

Abstract

Trinhammer and Bohr (EPL 128, 21001, 2019) derived the proton charge radius from the topology of a wavefunction on the compact configuration space U(3): πrp = 2λp, with λp the full Compton wavelength. Written with the reduced Compton wavelength ƛp = λp/2π, the same relation reads rp = 4ƛp — an integer that does not appear in their paper. This letter acknowledges their priority, explains how the integer was found independently in a discrete-lattice model, and asks three questions about its meaning in their framework. Open letter. Background: §5.1 and Appendix A5.1 of Theory of Space, Volume 1. https://theoryof.space

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 14%
Advanced Mathematical Theories and Applications
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