Thank you sayak83 & Polymath257, for me, your posts put a bright light on getting a notion of the inflation theory.
Since there are few versions of inflation theory, then it seems the inflation theory has not been settled yet to everybody’s satisfaction, and I assume there is no verifiable experiment yet. Am I correct on this point?
So, during the inflation, a lot of Positive and Negative energy were produced. Did this generating Positive and Negative energy continue after the inflation? Or, after the inflation it stopped generating, and universe got all the particles that we are observing today?
Since the universe is expanding and the current vacuum has a small but non zero energy, the total energy of the universe is increasing and will continue to increase indefinitely, with the gravitational energy becoming more negative as well. But none of it is transferring itself to matter or radiation, it's staying in space-time and will do so unless this vacuum also decays into something else. Nobody knows if that can happen or not. Nothing suggests it. But if it happens all of us will disintegrate into hot soup in a zeptosecond. So I hope not.
There is observational evidence for inflation or something that mimics inflation. Because the universe expanded so fast so quickly, inherent quantum fluctuations if the inflation field, which would have been teeny tiny under ordinary conditions, also expanded into cosmic levels of scale in a zeptosecond. When inflation ended this expanded out potential fluctuations became fluctuations of energy density in ordinary matter and radiation. Because of its quantum origins, inflation predicts how they will look, and that predictions matches up with the fluctuations that we see in the cosmic microwave background radiation. So that's a good test, especially as the fluctuations were predicted 15 years before the results came in and validated it. The thing is "some sort of repulsive force expanded space very fast very quickly" does fix the sort of field that caused it to happen. So there are many equally feasible variants of the basic idea at play. More observations needed to know which one exactly is correct.
You should look at my posts on this on the thread below and what
@Polymath257 has said as well.
Singularities and beginning of the universe
I think there has to some sort of an inflationary event to explain the features of the universe and while a scalar field that causes repulsive gravity is the most favored cause of this event, other possibilities exist as well.