Timeline:
(timeline destroyed by quote font)
Entropy is a bitch.
For finding a key collision,
it could just as easily be: , you finding k
big bang sun was born now. / sun dies existing stars burn out all matter evaporated
|-------------|---------------||-------------|---------------|-----------------------------------------|
0 9.2e9 13.8e9 19e9 1e15 1e34
( not to scale )
It's just that the odds of that being the case are very, very, very (rinse and repeat a lot) low. Of course the odds are exactly the same for your point along the timeline, or for any other point along the timeline within the bounds as proposed, to the point where statistically speaking it doesn't make sense to even try.