[GoblinSlayer]

The decayed state exists, it's the second term sqrt(exp(-t/T))|0>

[RandomLensman]

How do you predict which atom decays next from there?

[GoblinSlayer]

Since the decayed state exists, then any. Your question tries to assume sqrt(exp(-t/T))=0, which is false.

[RandomLensman]

My point was that we cannot predict which atom decays next.

If you want to claim that we could predict which specific atom decays next, I'd really like to see a lot more explaintion and exposition as it would upend current understanding.

[GoblinSlayer]

The trick is that you can't predict something that doesn't happen even if you feel otherwise.

[RandomLensman]

Atoms don't decay? Radioactive decay isn't a thing?

But at least we agree there is nothing we can predict.

[GoblinSlayer]

We can predict decay process as

sqrt(1-exp(-t/T))|1> + sqrt(exp(-t/T))|0>