With n multiple tests you are much more likely to approach the mean of positive results, which for an actually positive patient is (1-p1)n and for an actually negative patient is p2n, where p1 and p2 are false result probabilities. If p1, p2 << 1 then the means are sufficiently apart that you can compute the probability of getting your result (whatever that is) under the actual positive/negative scenario and one probability will be significantly higher than the other.
Assuming the tests are independent, which is unrealistic. If the antigen test is positive because it's cross-reacting to the common cold or because of something unique to you, then testing more tells you nothing.
I am European and I live in the US. I would like to ask for more proof of your assertion that most of the tech on which big tech is built originated in Europe.
In the US it is taken for granted that there has been a virtuous cycle between public research money, research universities, venture capital and tech companies. My impression is that most of the tech originates in this ecosystem.
