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PreprintCC BY 4.0Zenodo

Zero-Parameter Derivation of the Standard Model Free Parameters within Array Cosmology: From the Planck Scale to the Electroweak Sector

  • Han-Jun Lim
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Abstract

The Standard Model of particle physics requires 19 free parameters inserted from

experiment, with no theoretical justification for their values. This paper demonstrates that the five-axiom framework of Array Cosmology, {12, π, γ1, ln 2, φ}, derives these quantities from first principles with zero free parameters—including the

proton mass itself. We first resolve the Hierarchy Problem: mp = 144×13/2+ (20+ π)Znoise = 938.271 MeV (error 0.00008%). With mp fully derived, we then obtain the electroweak mixing angle (sin2^θW = ln 2/3, error 0.021%), the W boson mass (error

0.006%), the Z boson mass (error 0.002%), the Higgs dump energy (mH ≈ 125.247 GeV, error 0.002%), the complete CKM matrix including Wolfenstein parameters (ρ¯error 0.28%, η¯ error 0.032%), the Jarlskog invariant (error 2.9%), and the pion mass

spectrum (π0 error 0.001%). No free parameters, no fine-tuning, no supersymmetry required.

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Cite

BibTeXRIS
BibTeX
@misc{lim2026zeroparameter,
  title = {{Zero-Parameter Derivation of the Standard Model Free Parameters within Array Cosmology: From the Planck Scale to the Electroweak Sector}},
  author = {Han-Jun Lim},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23604158},
  url = {https://zenodo.org/records/23604158},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Zero-Parameter Derivation of the Standard Model Free Parameters within Array Cosmology: From the Planck Scale to the Electroweak Sector
AU  - Han-Jun Lim
PY  - 2026
DA  - 2026/10/23
PB  - Zenodo
DO  - 10.5281/zenodo.23604158
UR  - https://zenodo.org/records/23604158
AB  - The Standard Model of particle physics requires 19 free parameters inserted from  experiment, with no theoretical justification for their values. This paper demonstrates that the five-axiom framework of Array Cosmology, {12, π, γ1, ln 2, φ}, derives these quantities from first principles with zero free parameters—including the  proton mass itself. We first resolve the Hierarchy Problem: mp = 144×13/2+ (20+ π)Znoise = 938.271 MeV (error 0.00008%). With mp fully derived, we then obtain the electroweak mixing angle (sin2^θW = ln 2/3, error 0.021%), the W boson mass (error  0.006%), the Z boson mass (error 0.002%), the Higgs dump energy (mH ≈ 125.247 GeV, error 0.002%), the complete CKM matrix including Wolfenstein parameters (ρ¯error 0.28%, η¯ error 0.032%), the Jarlskog invariant (error 2.9%), and the pion mass  spectrum (π0 error 0.001%). No free parameters, no fine-tuning, no supersymmetry required.
ER  -