While Oscar lives in a garbage can on Sesame Street, we, on the other hand should not. Considering toxic waste and the need for storage of nuclear fuel, the entanglement of particles noted in Quantum Theory may offer a remedy.
Basically, all matter has relationship. Imagine two tuning forks. Ping one, the other picks up the vibration. Such is the fuzzy connectivity between particles in the Quantum reality. Studies in the Canary Island have demonstrated that if two linked particles have one then connected to a distant one, one of the proximal particles vanishes (we're not sure if they cease to exist, well, at least I don't know) and duplicates appear near the distant particle. Essentially, lock into another particle far away, and what is here disappears and something exactly the same suddenly appears at that far away point. The more I try to explain, the more confusing it will get. So re-read the above if you are not sure what I have just said.
Now, let's consider our trash, nuclear waste, air pollution, whatever. If we can pair it with a local particle then pair that particle with one say in the middle of the Sun or elsewhere, POOF! No more trash here. And where it ends up, that environment takes care of the rest.
The downside? Let's say you have a machine to do such. Is there anything in the toilet? POOF (or pooh), it is now in the refridgerator of someone you don't like.
If we ever devise such machinery to handle our waste hopefully we will be wise enough not to use it to our create our own destruction.
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