Baryogenesis in Lava-Void Cosmology via Turbulence

Baryogenesis in Lava-Void Cosmology via Turbulence

By C. Rich

To integrate baryogenesis and the matter-antimatter asymmetry into Lava-Void Cosmology while preserving the unified relativistic viscous fluid framework, the observed baryon excess emerges during the post-bounce turbulent reheating phase through the chiral vortical effect (CVE) in the helical turbulent fluid. Vortex excitations (interpreting particles) develop a net helicity due to multifractal intermittency and emergent parity-violating dynamics at high densities, inducing an axial (chiral) current that converts to a net baryon-like charge via anomalous processes analogous to the standard model’s chiral anomaly.

This mechanism leverages the model’s core identification of quantum phenomena as Planck-scale turbulence: opposite-circulation vortices correspond to particles and antiparticles, but helical turbulence preferentially amplifies one handedness, leading to asymmetry. The process occurs out of thermal equilibrium during rapid dissipation and expansion post-inflation, satisfying Sakharov conditions without separate fields or particles—

• Baryon number violation → Vortex merging/annihilation conserves circulation analogously but violates “vortex number” through topological reconnections.
• C and CP violation → Emergent from helical preference in inverse energy cascades and parity-odd terms in effective hydrodynamics (motivated by weak interaction analogs in vortex zero modes).
• Departure from thermal equilibrium → Provided by the turbulent decay and rapid dilution after the viscous quasi-de Sitter phase.

Reheating dissipates turbulent energy into thermalized vortex excitations, freezing the asymmetry as density drops below a critical threshold (e.g., electroweak-like scale emergent from fluid transitions). This yields the observed baryon-to-photon ratio $η ≈ 6 × 10^{-10}$, with clustered viscous regions hosting the excess “matter” vortices.

Mathematical Formulation
Extend the imperfect fluid to include anomalous chiral transport, common in relativistic hydrodynamics with quantum anomalies. The stress-energy tensor gains viscous corrections as before, augmented by chiral terms. The key addition is the chiral (axial) current for effective left-minus-right vorticity:

$$J^\mu_5 = n_5 u^\mu + \xi \omega^\mu + \xi_B B^\mu$$

Where:
* $n_5$ is the chiral density.
* $u^\mu$ is the four-velocity.
* $\omega^\mu = \frac{1}{2} \epsilon^{\mu\nu\rho\sigma} u_\nu \partial_\rho u_\sigma$ represents the vorticity.
* $B^\mu$ is an effective hypermagnetic field emergent from helical turbulence.

The coefficients are temperature and density-dependent:

$$\xi = C(\mu^2 + \kappa \pi^2 T^2), \xi_B = C’ \mu_5$$

With $C, C’, \kappa$ as constants from the anomaly. In the cosmological background, turbulence generates $\langle \omega^2 \rangle \neq 0$ and helical $\langle v \cdot \omega \rangle > 0$ during reheating, driving:

$$\dot{n}_5 + 3Hn_5 + \nabla \cdot (\xi \omega) \approx A(E \cdot B + \alpha \omega \cdot B)$$

Where $A$ is the anomaly coefficient. For baryogenesis, the generated $n_5$ sources a baryon chemical potential $\mu_B \propto n_5$ via effective sphaleron-like transitions. The net baryon density evolves as:

$$\dot{n}_B + 3Hn_B = \Gamma_{sph} (n_5 – n_{eq}) + A_{eff} \langle \omega^2 \rangle$$

With $\Gamma_{sph}$ representing the transition rate, peaking during the turbulent phase. Integration over the reheating epoch yields the observed baryon-to-photon ratio $\eta$:

$$\eta = \frac{n_B}{n_\gamma} \approx \frac{\xi(\rho_{reh}) \langle H_{hel} \rangle}{\rho_{rad} / T}$$

Where $H_{hel} = v \cdot \omega$ is the kinetic helicity from simulations of multifractal turbulence. As turbulence decays (Re drops), the CVE diminishes, freezing the asymmetry. This extension maintains computational verifiability by incorporating anomalous transport into existing Boltzmann or hydro codes for the fluid, potentially predicting correlated helical signatures (e.g., in primordial magnetic fields or GW parity). It resolves the matter-antimatter asymmetry within the turbulent fluid ontology, bridging to standard early-universe probes.

C. Rich