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PreprintCC BY 4.0Zenodo

Nucleon Properties from the Landauer Hierarchy: Proton Charge Radius, Magnetic Moments, and the Information-Theoretic Structure of Nuclear Physics

  • Han-Jun Lim
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Abstract

Four nucleon-sector observables are derived from the five-axiom set {12, π, γ1, ln 2, φ} of Array Cosmology with zero free parameters.

(1) The proton charge radius rp = (ln 2 − Z) ℏc/mπ = 0.8412 fm (PDG 2022: 0.8409 ± 0.0004, 0.04%).

(2) The proton magnetic moment µp = 3(1 − Z ln 2) = 2.7959 NM (CODATA: 2.7928, 0.11%).

(3) The neutron-to-proton magnetic moment ratio µn/µp = −7Z = −0.6870 (exp: −0.6850, 0.30%).

(4) The triton-to-proton magnetic moment ratio µT /µp = 1 + Z ln 2 = 1.0680 (exp: 1.0666, 0.13%). These results, combined with the meson-sector predictions of Paper XXX (fπ, gρππ, gV /gρππ, gA), reveal a five-layer Landauer hierarchy governing the information-theoretic cost structure of non-perturbative QCD and nuclear physics.

The standard model provides no closed-form analytic expressions for any of these quantities.

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Cite

BibTeXRIS
BibTeX
@misc{lim2026nucleon,
  title = {{Nucleon Properties from the Landauer Hierarchy: Proton Charge Radius, Magnetic Moments, and the Information-Theoretic Structure of Nuclear Physics}},
  author = {Han-Jun Lim},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23604027},
  url = {https://zenodo.org/records/23604027},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nucleon Properties from the Landauer Hierarchy: Proton Charge Radius, Magnetic Moments, and the Information-Theoretic Structure of Nuclear Physics
AU  - Han-Jun Lim
PY  - 2026
DA  - 2026/10/23
PB  - Zenodo
DO  - 10.5281/zenodo.23604027
UR  - https://zenodo.org/records/23604027
AB  - Four nucleon-sector observables are derived from the five-axiom set {12, π, γ1, ln 2, φ} of Array Cosmology with zero free parameters.  (1) The proton charge radius rp = (ln 2 − Z) ℏc/mπ = 0.8412 fm (PDG 2022: 0.8409 ± 0.0004, 0.04%).  (2) The proton magnetic moment µp = 3(1 − Z ln 2) = 2.7959 NM (CODATA: 2.7928, 0.11%).  (3) The neutron-to-proton magnetic moment ratio µn/µp = −7Z = −0.6870 (exp: −0.6850, 0.30%).  (4) The triton-to-proton magnetic moment ratio µT /µp = 1 + Z ln 2 = 1.0680 (exp: 1.0666, 0.13%). These results, combined with the meson-sector predictions of Paper XXX (fπ, gρππ, gV /gρππ, gA), reveal a five-layer Landauer hierarchy governing the information-theoretic cost structure of non-perturbative QCD and nuclear physics.  The standard model provides no closed-form analytic expressions for any of these quantities.
ER  -