Baryogenesis as a Quantum-Error-Correction Residue

Abstract

A focused companion that reads the matter–antimatter asymmetry off the code itself. Why is the observable universe made of matter when CPT-symmetric physics produces equal amounts that annihilate to radiation? Sixty years after Sakharov, no mechanism derives the measured baryon-to-photon ratio η ≈ 6×10⁻¹⁰ from first principles — grand-unified and Standard-Model electroweak baryogenesis are excluded or fine-tuned, and leptogenesis works only with free high-scale parameters. Here the magnitude follows from one parameter-free assumption: the early universe is the self-dual [8,4,4] extended Hamming code, whose boot-time QEC pruning is the physical origin of the photon bath. The asymmetry is then not a fine-tuned initial excess but an error rate — almost all matter and antimatter are corrected back into photons (the Landauer exhaust), and the surviving baryon number is the residue of logical faults that bypass the code's stabilizers undetected. The minimum-weight undetectable fault has weight equal to the code distance d = 4, giving a suppression α₀⁴; a colour-singlet selection over the 14 weight-4 logical channels contributes a 3/14 branching, so η = (3/14)α₀⁴ = 6.08×10⁻¹⁰ — a 0.9σ match to the Planck value with no free parameters once the fine-structure constant α₀ is fixed. The three Sakharov conditions map onto three intrinsic features of the substrate; the lepton-number-to-baryon-number conversion reproduces the standard sphaleron factor 28/79 on the substrate's particle content; and the absolute sign of the asymmetry remains, as in all of physics, anchored in a discrete convention — here a geometric phase of the code — rather than fully derived. Explicit about tiers: the magnitude is a genuine parameter-free prediction, the conversion is inherited standard physics, the definite non-zero net is computed, and the orientation is an irreducible geometric primitive. Every numerical claim is reproduced by self-asserting scripts.

Keywords

How to cite

Elliman, D. (2026). Baryogenesis as a Quantum-Error-Correction Residue. Neuro-Symbolic Ltd technical report. https://neusym.ai/papers/baryogenesis

@techreport{elliman2026baryogenesis,
  author      = {Elliman, David},
  title       = {Baryogenesis as a Quantum-Error-Correction Residue},
  institution = {Neuro-Symbolic Ltd},
  year        = {2026},
  url         = {https://neusym.ai/papers/baryogenesis}
}