According to inflation, all the structure that we see like galaxies, etc. originated from quantum fluctuations which were expanded during inflation. But since quantum fluctuations always create particle-anti particle pairs, doesn't that mean that at least the vast majority of matter formed would have it's corresponding anti matter within our visible universe? If this was the case wouldn't we constantly see lots of cosmic explosions from colliding masses of matter and anti-matter? Can someone please tell me where my understanding of these concepts faltering?
Answer
The matter-antimatter asymmetry requires the three Sakharov conditions to be satisfied. I'll summarise that link's explanation. Unfortunately, your question isn't completely solved.
The first condition is that some interactions don't conserve baryon number (I.e. baryons minus antibaryons, baryons being three-quark hadrons such as protons and neutrons). How much asymmetry exists is an open question, as it depends on unverified conditions such as supersymmetry and grand unification.
The second condition, CP violation, has been observed since 1964. However, it's still not known how there's enough of it to explain the observed asymmetry. As with the previous condition, the Standard Model doesn't explain all of the effect, but hopefully new physics soon will.
The third condition is out-of-thermal-equilibrium thermal conditions. Early inflation would ensure this.
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