That waste is not the extremely problematic type with a half-life of billions of years. A couple decades of storages renders it inert.
The problematic waste is only produced by non-breeder reactors that leave 99% of the extractable energy of the uranium unextracted. Breeder reactors would allow mankind to sustain 1,000 times current electricity consumption levels for over a million years with known uranium and thorium supplies, while generating almost zero extremely long-term waste.
Why is a half life of a billion years problematic? The longer the half-life, the less 'active' it is. That aside, in about 5 billion years the sun will turn into a red giant, possibly expanding out behind the orbit of earth until it reaches the orbit of mars. Looong before that there will be many sunstorms torching us.
Or some supervolcano hick-up. Or, or, or, whatever.
Because planning on those timescales is extremely difficult. The storage needs to be made robust to civilizational collapse, civilization forgetting about the existence of the waste, and shifts in tectonic plates.
The problematic waste is only produced by non-breeder reactors that leave 99% of the extractable energy of the uranium unextracted. Breeder reactors would allow mankind to sustain 1,000 times current electricity consumption levels for over a million years with known uranium and thorium supplies, while generating almost zero extremely long-term waste.