The time-scale is so long that there are no geological formations that last that long
For the entire period the waste must be monitored to ensure that it does not come into contact with humans, whom it will make very sick.
The waste does not look, taste or smell poisonous so some sort of warning sign has to be placed on it.
That sign must be readable over a time scale many times longer than we have had writing.
What selfishness. Making the next thousand generations pay for our current consumption.
The most expensive energy possible to imagine.
But because it is not our generation, but the next thousand generations (plus) that pay the bill....
Golly.