Cosmic Inflation and the edge of the universe
I am quite comfortable with the notion that the universe is infinite, and that the early universe (during/right around the big bang) was also infinite.
But I am confused by how we can say that the universe was infinite and that matter in this infinite universe was uniformly spread out. Wouldn’t this imply that there is an infinite amount of matter in our universe also? This seems to be contradictory.
Any finite amount of matter in an infinite universe either needs to be non-uniform and clumped, or infinite which allows it to be uniformly spread. The uniform spread of matter seems to be well tested with CMB observations and Baryonic Acoustic Oscillation measurements. But infinite matter seems to be a blaring contradiction to reality. Is there anything I am misunderstanding? Anything else I should research on?