# Kaon oscillations and baryon asymmetry of the universe

## TL;DR

This paper proposes a novel mirror-matter model involving $K^0-K^{0'}$ oscillations and staged QCD phase transitions to explain baryon asymmetry and dark matter, linking early universe processes with particle physics puzzles.

## Contribution

It introduces a new framework connecting baryon asymmetry, dark matter, and QCD phase transitions through $K^0-K^{0'}$ oscillations and staged symmetry breaking.

## Key findings

- Baryon asymmetry explained via $K^0-K^{0'}$ oscillations during strange quark condensation.
- Unified solution to strong CP problem within the same model.
- Potential simultaneous breaking of QCD and electroweak symmetries at top quark condensation.

## Abstract

Baryon asymmetry of the universe (BAU) is naturally explained with $K^0-K^{0'}$ oscillations of a newly developed mirror-matter model and new understanding of quantum chromodynamics (QCD) phase transitions. A consistent picture for the origin of both BAU and dark matter is presented with the aid of $n-n'$ oscillations of the new model. The global symmetry breaking transitions in QCD are proposed to be staged depending on condensation temperatures of strange, charm, bottom, and top quarks in the early universe. The long-standing BAU puzzle can then be understood with $K^0-K^{0'}$ oscillations that occur at the stage of strange quark condensation and baryon number violation via a non-perturbative sphaleron-like (coined "quarkiton") process. Similar processes at charm, bottom, and top quark condensation stages are also discussed including an interesting idea for top quark condensation to break both the QCD global $U_t(1)_A$ symmetry and the electroweak gauge symmetry at the same time. Meanwhile, the $U(1)_A$ or strong CP problem of particle physics is simply solved under the same framework.