Particle--antiparticle asymmetry from charge separation at expanding horizons
In a Friedmann universe with a time-varying cosmological term, massive particle--antiparticle pairs are produced continuously from the spacetime vacuum, and their members are separated by horizons. Along the cosmic history that explains $n_s$, $A_s$, $r$ and the low-$\ell$ power anomaly, we show how this separation generates the observed asymmetry. Horizons absorb the charge they separate, since gravity does not conserve global charges. Charge separation at the many horizons inside today's Hubble volume then acts as a volume violation of the U(1) charge, at a rate $Γ_C=κ_CΓ_M$ proportional to pair production. The sign requires a C- and CP-odd coupling to the time arrow. We describe both by an effective Lagrangian with a U(1)-violating coupling $g_c\,δ\mathcal O_SΦ^2$ to the spacetime vacuum and a time bias $-\partial_μf(R)\,J^μ$. For $f=c_a\ln|R|$ the chemical potential of producing a particle is $μ\simeq2c_a\dot H/H$. The asymmetry per pair reaches an attractor in the pair-dominated episode and freezes when the cosmological term is exhausted. The observed value requires $|c_a|/τ_S\simeq(0.65$--$1.0)\times10^{-4}$, with $T_S=τ_SH/2π$ the temperature of the spacetime vacuum, and its sign is fixed by the arrow of time. The Yukawa decays of the pairs transfer the asymmetry, with a uniform sign, to baryons and leptons and to dark-matter particles. The current of the charged decay products generates a magnetic field of $10^{-14}$--$10^{-11}$ G today on the coherence length of reheating.