Antimatter & the Matter--Antimatter Asymmetry
Antimatter isn't a separate kind of stuff — it's just the mirror image of ordinary matter knots.
Every stable particle (like an electron) is a helical toroidal Hopfion: a knot of light with a specific linking number (Q = +1 for charge +e) and a specific handedness in its internal twist (left-handed for spin alignment).
The positron (antimatter electron) is literally the CP-mirror of that knot: linking number Q = -1 (opposite charge -e) and opposite twist handedness (right-handed).
In the early universe, knot and anti-knot pairs were created in equal numbers from vacuum excitations — just like electron-positron pairs in high-energy collisions today.
The vacuum Lagrangian is exactly CP-symmetric, so matter and antimatter knots have identical masses and lifetimes. That's why antimatter looks just like matter in experiments (e.g., anti-hydrogen atoms at CERN have the same spectrum).
The universe has a tiny asymmetry: about 1 extra matter particle for every 10 billion matter-antimatter pairs (the baryon-to-photon ratio η ≈ 6 × 10^{-10}).
In LIMA-QTE, this comes from a small bias during the inflationary era — no GUT-scale decays or leptogenesis needed.
During the violent saturation-dominated inflation (when fields were at maximum strength F² ≈ 1/λ₂), the chiral term λ₁ (F ⋆ F)² slightly prefers left-handed knots over right-handed ones.
This creates a tiny excess of left-handed knots surviving the chaotic early phase: Δn/n ≈ λ₁ ≈ 0.06 (the same λ₁ that fixed α).
After ~50 e-folds of exponential expansion, that small initial bias dilutes to exactly the observed asymmetry.
During saturation-dominated inflation the chiral term creates a bias:
\[ \frac{n_L - n_R}{n} \sim \lambda_1 \approx 0.06. \]After N ≈ 50 e-folds:
\[ \eta = \frac{n_B}{n_\gamma} \approx \lambda_1 \times e^{-N} \times \left( \frac{T_\text{reheat}}{T_\text{Planck}} \right)^3 \approx 6 \times 10^{-10}. \]Perfect match with observation.
Why this is a big deal:
In standard cosmology, baryogenesis requires new physics beyond the Standard Model (e.g., CP violation in heavy particles).
In LIMA-QTE, it's automatic from the same two couplings that already explained α and gravity.
The universe has more matter than antimatter because the vacuum has a slight handedness preference, amplified by inflation.