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PreprintCC BY 4.0Zenodo

Zero-Parameter Resolution of the Baryon Asymmetry of the Universe within Array Cosmology

Abstract

The observed baryon-to-photon ratio ηB = (6.12 ± 0.04) × 10−10 (Planck 2018)

has remained unexplained within the Standard Model despite satisfying the three Sakharov conditions.

Here we derive ηB from first principles within Array Cosmology

using zero free parameters: ηB =J (6 − 6Kknot + Znoise)/(MW /ΛQCD)^2 = 6.120 × 10−10 (0.002% error)

where J, Kknot, Znoise, MW , and ΛQCD are all derived from the five-axiom set {12, π, γ1, ln 2, φ} in companion papers with no free parameters. Every term has a transparent physical interpretation: J encodes CP violation, the factor (6−6Kknot+ Znoise) encodes the six baryon-rendering channels corrected by knot binding cost and vacuum Landauer friction and (MW /ΛQCD)^2 encodes the electroweak-to-QCD scale projection.

Independent verification against BBN constraints (6.097 × 10−10) yields 0.38% agreement

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BibTeX
@misc{lim2026zeroparameter,
  title = {{Zero-Parameter Resolution of the Baryon Asymmetry of the Universe within Array Cosmology}},
  author = {Han-Jun Lim},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23603607},
  url = {https://zenodo.org/records/23603607},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Zero-Parameter Resolution of the Baryon Asymmetry of the Universe within Array Cosmology
AU  - Han-Jun Lim
PY  - 2026
DA  - 2026/10/23
PB  - Zenodo
DO  - 10.5281/zenodo.23603607
UR  - https://zenodo.org/records/23603607
AB  - The observed baryon-to-photon ratio ηB = (6.12 ± 0.04) × 10−10 (Planck 2018)  has remained unexplained within the Standard Model despite satisfying the three Sakharov conditions.  Here we derive ηB from first principles within Array Cosmology  using zero free parameters: ηB =J (6 − 6Kknot + Znoise)/(MW /ΛQCD)^2 = 6.120 × 10−10 (0.002% error)  where J, Kknot, Znoise, MW , and ΛQCD are all derived from the five-axiom set {12, π, γ1, ln 2, φ} in companion papers with no free parameters. Every term has a transparent physical interpretation: J encodes CP violation, the factor (6−6Kknot+ Znoise) encodes the six baryon-rendering channels corrected by knot binding cost and vacuum Landauer friction and (MW /ΛQCD)^2 encodes the electroweak-to-QCD scale projection.  Independent verification against BBN constraints (6.097 × 10−10) yields 0.38% agreement
ER  -